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Archive 1Archive 2

statement of theorem

"any self-consistent axiomatic system powerful enough to describe integer arithmetic will allow for propositions about integers that can neither be proven nor disproven from the axioms. "

integers, or natural numbers? Gödel's incompleteness theorem says natural numbers.

-- John Joseph Bachir 23 sept 2004 (after taking a formal language and automata exam...)

birth

Was Kurt really Austrian-born? I think this will always be problematic. You could probably also say he was Czech-born or Austro-Hungarian-born. As far as I know Brunn was at that time part of Austria which was in turn part of the Austrian-Hungarian empire. I'm not sure how Czech or Austrian the parents of Kurt were (or considered themselves) but the fact that he was sent to a German-speaking school may be a hint. Anyway, if you think you have good arguments to change this, please do. :-)

-- Jan Hidders July 10 2001

Der Herr Warum

I don't know German very well but is Der Herr Warum correct ?
--Kpjas

I speak a little German, (I watched a lot of Sesamstrasse as a child :-)) and it is certainly correct. You can check for yourself:

-- JanHidders

Goedel Number

What is Goedel Number ? Taw

A Goedel numbering is a scheme (with certain nice properties) which associates logical formulas with numbers, so that instead of talking about strings like "(phi or psi) -> tau " you could talk about numbers that prepresent them instead. Once a particular Goedel numbering is fixed, a Goedel number of a particular logical formula/statement is the natural number that represents it according to the numbering. Why? --AV

Because some page on wiki (Light Bulb Jokes) has link named Goedel Number that points to Kurt Godel page. Taw

The links would best point to Gödel's incompleteness theorem where the concept is explained. Or we could write a separate article. --AxelBoldt

I'd support a separate article, it will make linking easier, and sometime somebody may want to talk about Godel numbers without getting into the whole incompleteness theorem. Perhaps the Godel Number page could just be a semi-short definition with links to Kurt Godel, and to the Incompleteness theorem, that way if there are other uses for Godel numbers than the proof of the incompleteness theorem we could have links to those pages as well. It certianly seems like there should be other uses for Godel numbers, but this is not my area and I don't really know anything about them... MRC

You're right, there're other uses, although they may be too advanced for Wikipedia. I agree that it should be a (short) article on its own. --AV

Asperger's Syndrome

That comment about Godel having Asperger's syndrome in uncited and almost certainly wrong... Asperger's syndrome does not cause paranoid delusions. I don't know that Godel was ever diagnosed with anything, but paranoid schizophrenia seems more likely a culprit than Aspergers 71.229.63.50 20:27, 22 September 2007 (UTC)

Goethe's Criticisms of Newton

it says in his biography that he studied Goethe's criticisms of Newton. I thought some would find it useful to know the specific Criticisms of Newton Goethe constructed at such sites as http://rsc.anu.edu.au/rscnews/year1998/aug98/auggoethe.html and this book http://www.amazon.com/exec/obidos/ASIN/0521531322/thegermawayandmo

this is a very fascinating aspect of Godel that has been largely overlooked. A great scholar should create a wikipedia entry on these criticisms and then link this part of Godel's bio to it.

see the article Theory of Colours. —Preceding unsigned comment added by 207.241.238.233 (talk) 03:39, 28 November 2007 (UTC)

Editing needed

As I translated the article (and compared it to other good articles) I noticed there is some "confusion" in it´s structure. Almost all of the information about his work is included in the section of his life. The article may benefit from being splitted in one section for his life, and one separate section about his works, wich is the pattern followed in most other entries.--Loyan (talk) 06:28, 26 March 2008 (UTC)

Of the 4 math featured articles, 3 do seem to separate out life history from contributions. What are the good articles you're using as models? Anyway, I certainly do agree this article could and should be written better, and could benefit from reorganization. --Jeffreykegler (talk) 22:48, 26 March 2008 (UTC)
Well there are several: The one on Hilary Putnam is quite good, Foucault, Pascal and not only philosophers, it seems to be the favoured structure, but I know it might sometimes be difficult to separate life from work. By being separate in allows for a more in depth treatment of the work and also allows for a strictly biographical reading for persons who are not concerned with the complexities of the work.--Loyan (talk) 23:24, 26 March 2008 (UTC)

US CITIZENSHIP INTERVIEW, FREE THINKER, BEGINNERS GUIDE After a search on ENIAC I came to Neumann then Godel on Wikipedia.

During the immigration interview Godel must have been attempting to answer as truthfully as possible. He was indicating what we know to be true today. A president could create a dictatorship akin to NAZI Germany (akin to Mugabe in the former Rhodesia).

Key was his openness, which is what free thinkers do. Clearly Godel was not concerned with any form of "Restraint". I would like to see Godel for beginners type links as I am fascinated now. The Chain here is excellent (thank you all) Many people when subjected to official process never question it, clearly Godel Did, with the comment that potentially elections and presidential control would be possible, after all look at elections in Zimbabwe, the US was nearly the same when Dubbyah was elected. Kurt was not wrong! I hope his spirit is reading over my shoulder as I type this wiki 

I dont know if his mother was jewish, but Muzel Tov / God Bless anyway

Kind Regards dsm@kesgrave.net

I plan to add citations to the biographical information

I have started adding citations for the biographical information. I've just finished a novel centering on a part of Gödel's work, which I carefully researched (the novel took me 5 years to write, 3 of them full-time). So I'm freshly familiar with the sources.

This article is fairly accurate and that, while it is unsourced, I believe most of the facts in it can be sourced, many others can be sourced with slight changes, and very few are likely to prove unsourceable.

Adding sources to a text you've written is almost as hard as writing it. Adding sources to text that others have written may be harder. In particular, there's the question of how to deal with material you can't source. Editors are supposed to be bold, but assuming something is unsourced just because I don't know of a source for it is bolder than I care to be. I will follow this procedure:

I'll mark text I can't source like this‹The template Talkfact is being considered for merging.› [citation needed]. In a separate section on this talk page, I'll explain the nature of my problem. For example, I might not believe the "fact" has a source. Or I might suspect that it does, but be unable to find it. If I get no feedback, I'll use my best judgment.

My guidelines for sources: I'll be fussy about sources, but I think properly so. In researching Gödel time and again I'd read the 36th slightly different version of the same "fact" about Gödel. When I was in Grad School, Gödel was still alive and much talked about. None of what I was told can be sourced and I suspect all of it was untrue. Therefore:

1. I use secondary sources only where they were carefully edited from a biographical standpoint. This excludes even otherwise carefully edited textbooks as evidence. It also excludes most biographical treatments of Gödel. Among the secondary sources, I have learned to trust only Dawson 1997 (Gödel's definitive biography) and the apparatus in Gödel's Collected Works .

2. Mathematicians may be lousy biographers, but they tend to be good witnesses. I regard any primary source as good evidence for what the author witnessed. So, for example, Hao Wang's books are extremely important sources because he knew Gödel well. But Hao Wang also included a lot of other material. I treat as evidence what Wang personally witnessed, and what he has a source for. I discount everything else. --Jeffreykegler (talk) 15:56, 27 February 2008 (UTC)

So far I've gotten very little done on this. Other projects (professional & family) took up the time. I'm traveling to California soon, so over the next weeks I won't be able to do much either. Sorry. --Jeffreykegler (talk) 11:40, 22 June 2008 (UTC)

greatest logicians of all time?

As it stands, the article states in its introduction, "...Kurt Gödel was perhaps the greatest logician of the 20th century and one of the three greatest logicians of all time with Aristotle and Frege..."

I find this statement astounding. I am not aware that his work, or even his analysis of mathematically incomplete systems, raised him to the ranks of one of the "three greatest logicians of all time", or even the greatest in the last century (List_of_logicians). Can we have some credible citation for this, or discussion? FT2 18:33, August 28, 2005 (UTC)

  • It's definitely POV, but I at least agree with "perhaps the greatest logician of the 20th century." His work was one of the most important turning points in all of mathematical history. — brighterorange (talk) 15:30, 13 October 2005 (UTC)
I'm not sure that having a major impact makes someone "the greatest" in their field. Maybe "one of the most significant". Greatness, to me, implies more than just making a discovery that is a turning point, especially when taken as a whole others have had many more also-significant discoveries. I'm just thinking that "greatest" is POV. Will edit to something more suitable. FT2 09:46, 14 October 2005 (UTC)

I suppose people talk about mathematical logic. Mathematical logic is a well established area of Mathematics. Gödel was probably the greatest mathematical logician of all times. And he did not just stumble about one important discovery. He produced most fundamental work in all areas of mathematical logic. (Even more fundamental than the popular incompleteness thm is the completeness thm, he showed fundamental results about recursion theory, intuitionism and set theory as well.) Another question is his relevance or "greatness" in philosophy (in particular philosophical logic or philosophy of Mathematics). I cannot comment on this. 131.130.190.55 22:02, 24 January 2006 (UTC)

I have to agree: it's not just Hofstader hype: the rumor is true. Gödel really can be called the most important logician of all time, and even one of the most influential thinkers of all time. It does not seem inappropriate to link his name with Aristotle and Plato, although the canon of his most important work is slender by comparision. I think everyone who has encountered his incompleteness theorem must agree that this represents one of the most profound insights yet accomplished in the realm of logic, even one of the most profound insights in the realm of mathematics and philosophy in general. Incidently, although this might sound like a silly joke, no kidding, in logic his [Godel's Completeness Theorem completeness theorem] is equally fundamental.
However, overall, I wouldn't disagree with the proposed change, greatest -> most significant, since IMO any attempt to well order the panooply human achievement quickly becomes silly.---CH 02:18, 27 March 2006 (UTC)

The statement that Gödel was "the greatest logician since Aristotle" is by John von Neumann, as reported by Herman Goldstine in The computer from Pascal to von Neumann. Eubulide 18:36, 23 June 2006 (UTC)

Just because FT2 doesn't agree with something, doesn't mean it isn't true. However, the real point is not FT2's apparent ignorance of Gödel's significance but the purely technical one that it's not for wikipedia editors to declare Gödel the greatest anything; just to report what a significant body of credible opinion thinks of Gödel's achievement. If John von Neumann called him the greatest logician since Aristotle, I'm not going to argue that von Neumann was overrating him, because von Neumann was a giant among mathematicians and I am not a mathematician at all. However, von Neumann is only a start. It could also be pointed out that the economist Oskar Morgenstern, the physicist Albert Einstein and the logician Stephen Kleene had the very highest opinions of Gödel's work. Lexo (talk) 01:01, 4 July 2008 (UTC)

NPOV violation removed

I'm removing the following from the main page as POV:

However, Godel's most revolutionary revision of everyday views of our world, though never substantially popularized--and still predominately rebuffed by the scientific community--was his mathematical proof that the past retains an accessible location in the physical world [to which a space ship can travel at the speed of light.] While the physics community largely acknowledged Godel's proof as valid, it still engages in attempts to invalidate Godel's shocking conclusion. One example is, for instance, in Stephen Hawking's "chronology projection conjecture," which is specifically designed to set aside Godel's revision of our world view--a postulate which nevertheless acknowledges the seriousness of Godel's challenge. In the words of author Palle Yourgrau, while Albert Einstein turned time into space, Godel "made time disappear." [Source-- A World Without Time: The Forgotten Legacy of Godel and Einstein, Palle Yourgrau, Basic Books, 2005.] Godel's mathematical time proof seems, in fact, somewhat consistent with recent affirmation of dark matter in the universe and the resulting implication that our universe is merely a surface fragment of a larger universe many billions and trillions of times the size of our own. To this day, the man on the street has barely any awareness of Godel's revolutionary proof of the perfect physical endurance of "past" events, even while nearly all educated persons are quite aware of the time-warping relativity theories of Godel's constant Princeton walking companion (Einstein)--from which Godel's time proof emanated. His time proof has therefore achieved that distinctive status accorded only to the most surperlative and disturbing of scientific achievements: to be resolutely ignored.

Apart from being biased it also gives disproportionate attention to a subject that seems very minor. If there needs to be anything on this subject in the article I suggest something like:

"Gödel also found a solution to Einstein's field equations, the Gödel metric." --Tengfred 14:07, 2 August 2006 (UTC)

This para violates not only NPOV but also looks suspiciously like original research. I have read the papers in question and am not qualified to say whether or not they really prove what the author of this para (and Gödel himself) says they prove. I have noticed, however, that the editors of Gödel's Collected Works are cautious rather than wholeheartedly enthusiastic about a lot of his later work. If Gödel had really provided a universally satisfactory proof of 'the perfect physical endurance of "past" events', I think it would have been better publicised by now. In short, I agree with the removal of this para. Lexo (talk) 01:06, 4 July 2008 (UTC)

The constitutional loophole

Does anyone know what Gödel meant could constitute the framework for a "legal dictatorship" in the US? Marxmax 11:23, 2 October 2006 (UTC)

No. Researchers who examined Gödel's voluminous papers after his death looked specifically for this because of repeated enqueries they'd gotten, and they didn't find anything except some straightforward notes from studying for the citizenship exam. See Dawson & Dawson, "Future tasks for Gödel scholars" [1] p. 155. Maybe this could be mentioned in the article. —Preceding unsigned comment added by 207.241.238.233 (talk) 04:20, 6 October 2007 (UTC)
I know that I've read somewhere a description of what was almost certainly the loophole Gödel discovered in the Constitution, but of course I can't remember where. It was a highly technical and rather unlikely situation which, I seem to remember, necessitated the Vice-President becoming President on the incapacitation or resignation of the incumbent President...I will rack my brain and hunt my shelves to see if I can remember what it was. The description of the loophole came not from looking through G's papers but from studying the Constitution in order to work out what it might have been, so it wasn't necessarily the exact loophole G is said to have discovered. Lexo (talk) 23:27, 19 July 2008 (UTC)
I was probably wrong. I have, however, found stabs at the possible loopholes here, here and here. Hope this was helpful. Lexo (talk) 23:33, 19 July 2008 (UTC)

On psychological disorder

In the section on psychological disorder it is claimed that Gödel "received an anxiety neurosis" three or four years before suffering from rheumatic fever. Since the latter happend when he was six or seven, he would have been three when he had neurosis. This sounds very unlikely: can we have a reference for that information? Similarly, reference is needed for the assertion that he may have had paranoid schizophrenia. Eubulide 19:10, 21 June 2006 (UTC)

I've never come across any references to paranoid schizophrenia in his context. He was definitely a hypochondriac and suffered from several nervous breakdowns over the course of his life, but schizophrenia is a new one on me. —Preceding unsigned comment added by 71.191.118.228 (talk) 11:32, 20 July 2008 (UTC)

Timeline 1938 to 1940 and the consistency results for AC and CH

According to the article, after moving to Princeton in March 1940,

Gödel very quickly resumed his mathematical work. In 1940, he published his work Consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory which is a classic of modern mathematics.

An article by Gödel with the title "The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory" was published in Proceedings of the National Academy of Sciences of the United States of America already in December 1938 (Volume 24, issue 12, pp. 556–557). Lecture notes with the title "The Consistency of the Continuum Hypothesis" were published in September 1940 in the Princeton series Annals of Mathematical Studies. Is there some confusion here?  --Lambiam 12:04, 4 May 2008 (UTC)

Looks to me like the NAS article was a 2-page notice of the result, while the much longer Annals paper was the formal proof. Both are reprinted in vol 2 of Gödel's collected works. 75.62.4.102 (talk) 03:58, 25 August 2008 (UTC)

Gödel citizenship hearing -- explaining my edit

I've edited this rather heavily, and re-sourced it. I did considerable research on this story for my novel, and read many different versions of it. It's clearly turned into a legend.

The only solid basis for this story is Morgenstern's diary entry, which is cryptic and unsatisfying. Every reteller fleshes the story out considerably, usually with dialogue and narrative of their own invention. The only careful account is in Gödel's scholarly biography, by Dawson. Dawson interviewed Morgenstern's widow to flesh out the story. She wasn't there, so what she says is hearsay and Dawson normally doesn't use that kind of source. Dawson was not willing to simply let this story disappear as unsourceable.

Dawson is the most careful source for this story. All other versions are based on Morgenstern, Dawson and things people heard in the 30th retelling in the faculty lounge. For Wikipedia's purposes, I think it best to stick to what's in Dawson and I have edited accordingly.

In my novel, I retell this story with some dialogue and incident of my own invention. I can do that there, because it's fiction.

--Jeffreykegler (talk) 06:29, 24 November 2008 (UTC)

Interesting work

See http://www.jstor.org/pss/2251910 See "The Godel Formula: Some Reservations", by Richard Butrick, 1965, Oxford University Press. —Preceding unsigned comment added by 86.137.170.8 (talk) 09:38, 22 July 2009 (UTC)

The errors in Butrick's argument were pointed out in the same journal, in 1968, by Lacey and Joseph, "What the Godel Formula Says" [2]. They point out that Butrick fails to properly distinguish between mathematics and metamathematics.
One has to take arguments in philosophy journals such as Mind with a grain of salt, because these journals are sometimes willing to publish novel arguments even if nobody apart from the author accepts them, merely for the sake of promoting discussion. Mathematics journals tend to stick more closely to widely-held opinions, but there are still occasionally some idiosyncratic views presented. The only way to properly evaluate individual papers is in the context of the broader literature. — Carl (CBM · talk) 23:50, 22 July 2009 (UTC)

Inconsistency

In the article on David Hilbert, in note 16, Godel gives the Goldbach and Fermat problems as undecidables. Since then, Wiles has been said to have decided and proved the Fermat problem. —Preceding unsigned comment added by 86.137.170.8 (talk) 09:33, 12 August 2009 (UTC)

No. Gödel says that his undecidable statements are "of the type of Goldbach or Fermat". Technically speaking, he meant (I assume) Π01-statements, that is, statements of the form
there are no numbers x,...,z such that P(x,...,z),
where P is either a bounded formula, or a quantifier-free formula, or primitive recursive predicate.
"Fermat's last theorem" says that there are no solutions to a certain equation. Gödel's undecidable sentence says that there is no formal proof of a contradiction from the axioms of Principia Mathematica. The two formulas are formally similar, just like the two universal sentences "Everybody likes math" and "Everybody knows math" are formally similar, but formally very different from sentences like "Everybody knows somebody who..."
--Aleph4 (talk) 10:13, 12 August 2009 (UTC)

Structural cleanup

I went through the article and did some structural cleanup and I think it flows much better now. I relocated the discussions about Einstein and US citizenship into the main "Life" section. I'm not that happy with the section heading "The mid 1930's: further work and visits to the USA" but it's the best I could come up with. Please improve if you can. Manning (talk) 03:41, 25 September 2009 (UTC)

"Dangerous knowledge" show

The link in the reference about this show has gone bad. Here is another link that still works: [3]. — Carl (CBM · talk) 00:43, 6 October 2009 (UTC)

Pronunciation of Kurt

I'm native German speaker and to me the pronunciation of Kurt [kʊɐ̯t] seems to be inaccurate. In my option the correct standard German pronunciation is [kʊʁt], whereas [kʊɐ̯t] is more Northern German dialect. Because I'm not that familiar with the IPA I would like to read a second opinion. -- PyroPi (talk) 06:57, 14 November 2009 (UTC)

I think that [kɜrt] and [gɶd'l] are the appropriate IPA transcriptions for "Kurt" and "Gödel", respectively. --PST 14:08, 14 November 2009 (UTC)
I'm German native and I think PyroPi's version is right. Jakob.scholbach (talk) 17:14, 14 November 2009 (UTC)
You must be right then. I am certainly not a professional German speaker. --PST 03:36, 15 November 2009 (UTC)
I don't really know the difference between ʁ and ɐ̯, but I might gently suggest that getting the pronunciation of his first name right is not all that critical. The name Kurt exists in English, after all, and the pronunciation isn't that different after allowing for the systematic differences in letter values between English and German. The key thing is to stop people from saying "Godle" or "Goddle"; even "Girdle" is an improvement over those, and perhaps marginally acceptable in English-language discourse. --Trovatore (talk) 03:46, 15 November 2009 (UTC)
Many people in England particularly in the south have difficulty hearing an r sound. If a person from Ireland says 'thirty' in England it is quite possible it will be taken as 'twenty', the English distinguish between the t and th and the Irish between the r and w. Dmcq (talk) 10:37, 15 November 2009 (UTC)
I don't understand IPA but regardless of the German pronunciation (which I think would be close to "Koort"), Gödel was Austrian and I wonder if his native dialect's pronunciation might be a bit different. 69.228.171.150 (talk) 23:30, 16 November 2009 (UTC)
I'd just like to add that I listened to Jakob's sound file, and I hear no r sound in Kurt, but I do hear one very clearly in Gödel. Jakob actually pronounces Gödel with much more of an r sound than I do myself; I had allowed myself to be told that there was no r sound there, and had tried to get the vowel as close as I could without the r.
It may be that speakers with other accents do not hear an r in Jakob's Gödel. For reference I am a native rhotic speaker of American English. --Trovatore (talk) 23:43, 16 November 2009 (UTC)
I am quite positive that in Jakob's recording there is some kind of r sound in Kurt, but none in Gödel. The letter r has a wide range of normal realisations in German, depending on the speaker and to a lesser extent on position. Jakob's pronunciation sounds to me like the most common one (the one that German adopted from French in the 17th/18th century according to de). It would be equally common to replace r in this position with a short vowel (ɐ̯, similar to German a), but I don't think Jakob has done that. I can't make myself hear anything remotely like an r in Jakob's pronunciation of the ö of Gödel. However, the vowel sound seems to be changing its quality at the end, towards an e-like sound. At first I didn't notice it at all; I guess that it's caused by the following consonant. I believe for a native German speaker it's impossible to identify this with an r or the kind of vowel that could replace one. Hans Adler 07:33, 17 November 2009 (UTC)
Well, of course I'm not talking about a German r sound. I'm talking about an American one. There is absolutely one of those. --Trovatore (talk) 08:42, 17 November 2009 (UTC)
I guess what you hear is the e-like sound, a vowel that is in the range of possible pronunciations of American r. But as I tried to explain, it's hard to switch from ö to de without anticipating the e before the d starts, at the end of the ö. I agree that this short vowel represents an r in English; my point was that it doesn't in German.
To get back to the article, I would say that girdle is an excellent way of explaining to English speakers how Gödel is pronounced. The only real difference between the correct pronunciations of girdle and Gödel is in the quality of the ö sound. Gödel has a long ö; the vowel in girdle has the correct length but has the quality of a short ö. But that's more a matter of accent than of correctness. Hans Adler 10:59, 17 November 2009 (UTC)
It's not something happening just at the end of the ö. The entire vowel is r-colored. Well, maybe except for the first twenty percent of it or something. --Trovatore (talk) 18:30, 17 November 2009 (UTC)
Then my next guess is that you hear it that way because this particular vowel doesn't exist in English other than in syllables that have an r (i.e. in some of the words containing ur or ir). In German it's a regular vowel unrelated to r. The first twenty percent or so seem to be influenced by the preceding g. Hans Adler 19:30, 17 November 2009 (UTC)
Well, so you understand that in rhotic accents, there is no actual consonantal r-sound following a vowel in such words, right? What we perceive as a consonant is actually a coloring of the vowel. A lowering of the third formant, according to a WP article I read recently, though I have no independent way of checking that. Anyway, the ö in Jakob's sound file has that coloring. --Trovatore (talk) 19:49, 17 November 2009 (UTC)

What Religion was Godel?

What religion was Godel? He clearly spent some time and effort on proving God's existence (well, beyond reasonable doubt according to the related wiki : ), but what religion was he? --MrASingh 21:33, 14 Feb 2006 (UTC)

I have just added an discussion of Gödel's religion as it's relevant to Gödel's ontological proof to that article, with sources. Perhaps some of it belongs in this article, but I'm not sure where to put it. This is a basically well-written article on an important topic, and I'd like to have a better idea on the right length, focus and position for material on Gödel's religion before editing anything in.
There is an interesting problem in the evidence about the motive behind Gödel's Ontological Proof. Morgenstern's contemporaneous diary entry has Gödel telling Morgenstern that he was an atheist, and that the Ontological Proof was purely an exercise in logic. Ordinarily, that would settle the question -- Morgenstern was perhaps Gödel's best friend at that point and his diary is usually reliable.
The problem is that all the other evidence strongly indicates that Gödel did believe in God. Dawson, Gödel's definitive biographer, states directly that Gödel was a "believer" (p. 6), in fact seems to regard the matter as a settled. Other sources show that Gödel was firmly anti-materialist and believed in an extremely wide range of supernatural phenomena. A fourteen point outline of his philosophy which Gödel left in his papers includes statements of belief in higher beings who live in other worlds and reincarnation. Apparently for Gödel these beliefs were fundamental.
For more see the introduction to Gödel's ontological proof, which gives sources. See the discussion page for that article for my rules of evidence, my reasons for including what I did, and more details on my handling of the evidence problem presented by the Morgenstern diary. --Jeffreykegler (talk) 16:01, 25 February 2008 (UTC)
Godel was definitely religious; there are further details on this point in Hao Wang's book "A Logical Journey: From Godel to Philosophy". He wrote a pair of letters to his mother defending his belief in the afterlife, which (if I recall correctly) can be read in their entirety in Chapter 3 of Wang's book. A highly illuminating excerpt (from page 88) is as follows:
"I went home with Einstein almost every day and talked about philosophy, politics, and the conditions of America. Einstein was democratically inclined. His religion is much more abstract, like that of Spinoza and Indian philosophy. Mine is more similar to church religion. Spinoza's God is less than a person. Mine is more than a person, because God can't be less than a person. He can play the role of a person.
"There may exist spirits which have no body but can communicate with us and influence the world. They stay in the background and are not known [to us]. It was different in antiquity and the Middle Ages when there were miracles. We do not understand the phenomena of deja vu and thought transference. The nuclear processes, unlike the chemical ones, are irrelevant to the brain."
I included the last two sentences because Godel included them in this context; I don't understand them completely, but I can make conjectures. In any event, based on this and other evidence throughout Wang's book, I'm convinced that Godel was strongly religious after his own fashion. That said, I don't think he was of a specific religion of the sort we would recognize -- my opinion on the matter is that we should take him at his word when he says he's "a sort of Platonist" and look for connections with Plato if we have a care to seek such connections. —Preceding unsigned comment added by 71.191.118.228 (talk) 22:57, 19 July 2008 (UTC)

Most sources indicate that he was some sort of unchurched Christian. I know that his wife said that although he didn't attend church, he was still religious and read the Bible in bed every Sunday morning.76.64.9.151 (talk) 07:37, 7 April 2009 (UTC)


I changed things in the article to indicate he is a theist but removed information suggesting he was a Christian. The currently cited sources in this and related articles only appear to support him as a theist. Being baptized as a Christian does not mean you should be classified as one. Lonjers (talk) 07:32, 7 July 2009 (UTC)

It's an interesting point -- clearly he was a theist, and clearly his spiritual tradition was Christian, and he does not seem to have ever renounced that tradition. I agree it doesn't really follow that his beliefs were Christian, and a lot of his remarks on the subject suggest that his beliefs may not have been that specific. So it's a bit ambiguous. But I think lots of bios probably report their subjects' religious traditions rather than necessarily their beliefs. --Trovatore (talk) 09:56, 7 July 2009 (UTC)

It's a bit more reasonable to conclude that he was a Christian if he was baptized as such and sources indicated he was, rather than to automatically assume he wasn't just because. Regardless, I'm not sure what he believed, nor do I find it that important. 98.198.83.12 (talk) 16:05, 28 January 2010 (UTC)

Photo

Now that the commons photo has been deleted, on the grounds that it was a copy of the fair-use photo and we weren't sure if the Oberwolfach folks were entitled to release it, can we please have the fair-use photo back? --Trovatore (talk) 22:49, 8 March 2010 (UTC)

Importance of shorthand

While the article mentions Gödel's use of a shorthand, it does not mention why this is a big issue. I happened to be at IAS in 1982 and 1983, and remember talking to Dawson. The biggest problem he initially faced was figuring out the shorthand system Gödel used; first, what system it was, and then all of the idiosyncratic changes/uses Gödel made to it (typical of people using shorthand). It would be worth checking with Dawson on this point: but I suspect that this is why his notebooks have never been seen and understood by many people much less published. To read Gödel's personal papers, you have penetrate what is in effect a serious (somewhat personal) code, based on a shorthand system that hasn't been in widespread use for a century. They certainly aren't just written notes that could be typeset and published as is, and in original form, they might as well be Sanscrit. JimGettys (talk) 18:46, 8 March 2010 (UTC)

Actually I believe I've read (too lazy to chase down the reference) that Gödel's notebooks have been not just transcribed, but translated into English. Why did they not publish them? The holdup seems to be that they don't feel that even the transcribed/translated notebooks are worth publishing without at least the same kind of scholarly apparatus his published works got -- footnotes, introductions by experts, etc. Gödel's notebooks represent his personal research notes, and were never intended by Gödel to make sense to anyone but himself -- only specialists could make sense of them even in transcription / translation, and then only in the fields of their speciality.
I suspect they will contain a clue as to what Gödel was talking about at his citizenship hearing. Gödel filled at least one notebook while preparing for that hearing. It makes sense that if Gödel were obsessed about something to do with the citizenship hearing, at least a hint of that would be in his American history notebook. On the other hand, this being Gödel, nothing is certain except the unexpected.

--Jeffreykegler (talk) 04:55, 16 March 2010 (UTC)

Gödel was obsessed (at least about his health) in the first place. My memory is that Dawson told me there were decades of records of his body temperature that he had kept, for example. Much of what he recorded is of no value; it definitely would need sorting before publication. JimGettys (talk) 20:35, 15 April 2010 (UTC)
Gödel's Nachlass was microfilmed and copies exist in a few libraries if you want to look at it, I think. "Substantial portions" of the notebooks were transcribed (Feferman 2005 [4]) and the more important stuff was published in the 5-volume Collected Works, but I doubt if the bulk of random stuff was ever transcribed. Feferman op cit. talks about how the selections were made. 69.228.170.24 (talk) 06:11, 25 April 2010 (UTC)

Hidden variables

The article reports that "Economist Oskar Morgenstern recounts that toward the end of his life Einstein confided that his 'own work no longer meant much, that he came to the Institute merely…to have the privilege of walking home with Gödel.'" A psychologist who knows people might suggest that this was merely a case of an old man who wanted to have a walking buddy who shared his native language ("someone to talk to"). Einstein spoke German throughout his life, even on his deathbed.Lestrade (talk) 21:48, 22 January 2011 (UTC)Lestrade

Potential resource

You could put it in Further Reading ... 99.112.212.108 (talk) 02:14, 31 August 2011 (UTC)

Religious views

The whole 'religious views' section was recently removed. See this edit. They are notable, I think, and it was well-written. Furthermore, it is consistent, because many scientists and other notable people have a section on this matter. This shouldn't have been done without discussion. I'm adding it back. --Epitectus (talk) 17:56, 2 October 2013 (UTC)

What? I already added it back. --Trovatore (talk) 18:19, 2 October 2013 (UTC)

Islam

Please add the following fact to the "Religious Views" section: Gödel said about Islam: "I like Islam, it is consistent [or consequential] idea of religion and open-minded".[1]

Such a piece of information about Godel should be included because: 1. The section is titled "Religious views", so it is supposed to (and should) include all what is known about Godel's relationship with religion(s). Things like his beliefs and declared opinions.

2. Godel's statement above (that we request to add) is an explicit statement about a specific religion. There is no doubt that the above statement must be classified as a Religious View.

It follows that the statement above (for article's completeness) should be added. People have the right to know.

PS: It happened many times that the above statement of Godel was added then deleted for flimsy reasons (posted on the Talk page). Such a statement can't be classified as Trivia because Godel paid much time and effort for philosophical and religious thinking (see Wang 1996).— Preceding unsigned comment added by Koshtomar (talk • contribs) 08:30, 10 October 2013‎

The article is semiprotected precisely because of this annoying edit war. Please follow the instructions at Wikipedia:Edit requests. In particular, if the edit is controversial as here, you have to first discuss the issue with the other editors involved in the dispute and reach consensus. Only then you can submit an edit request. (Also, if you really have a conflict of interests, you should explicitly reveal it; if not, the proper template to use is Template:Edit semi-protected.)—Emil J. 11:37, 10 October 2013 (UTC)

Semi-protected

Based on the patten of multiple IP addresses making the same revert, but none of them have used the talk page of the article to respond in the section above where it was briefly discussed. I have semi-protected the page for a week. I will keep an eye on it. — Carl (CBM · talk) 10:42, 16 August 2011 (UTC)

The persistent islam or no islam edit war is quite annoying. Maybe another semiprotection is in order.—Emil J. 12:36, 12 September 2013 (UTC)

I've now semi-protected the page for a month. Paul August ☎ 00:16, 10 October 2013 (UTC)

I think at some point we're going to have to have a real formal RfC on this issue. Personally I'm almost in the middle on the merits — it's a little bit interesting that Goedel would say such a thing, not very, but a little, and while I think it's probably "undue", it wouldn't bother me that much to keep it. Either keeping it or not keeping it seems so trivial as not really to be worth an RfC, which is why I've been reluctant to raise the point, especially when the edit warring goes slowly enough that it's only a low-level annoyance. But it's just gone on too long. Probably time to settle it. --Trovatore (talk) 00:44, 10 October 2013 (UTC)
I agree. Paul August ☎ 00:23, 11 October 2013 (UTC)

Regardless of the subjective importance of Godel's quote for each individual, it is a fact (piece of information) that SHOULD be included when talking about Godel's religious views. Godel's statement about Islam is very particular and is definitely a Religious point of View. Semi-protecting the page for a MONTH, with the quote DELETED, wasn't expected from Wikipedia. — Preceding unsigned comment added by 197.123.250.63 (talk) 18:45, 10 October 2013 (UTC)

Dear Editors, if you encourage free thinking and respect that people has the right to know, Godel's quote about Islam should be added again (especially when the other quote describing religion(s) in general is present. Else, the religious views section is providing misleading information about Godel's religious views). Also it is remarkable that Godel's quote was not to offend anyone, while removing it is disrespecting to muslims and to Godel himself. The page needs semi-protection with Godel's quote included. We shouldn't allow an obnoxious sick fanatic (sorry for being harsh but that's the ugly truth) to disturb people's right of knowledge. The opinion of Godel, such an influential mathematician and philosopher, is really interesting (not a little) and encourages further thinking about Islam. (Influential to the extent that makes fanatics afraid to reveal truth). Let's open our minds.

Islam

According to the article, Gödel claimed that Islam "is a consistent idea of religion and open-minded." What did he mean by "open-minded"? I thought that Islam was intolerant of other religions.Lestrade (talk) 16:25, 2 August 2010 (UTC)Lestrade

Someone's been reading their neocon propaganda! GeneCallahan (talk) 16:26, 12 November 2010 (UTC)

I don't think that Godel wanted to be enslaved. He does not seem to have looked into Muhammadanism carefully. —Preceding unsigned comment added by 93.97.194.200 (talk) 14:30, 30 March 2011 (UTC)
It was a throwaway remark he made when he was already getting rather paranoid and peculiar. On the same page you'll find lots of other things he said like all history is a lie or that Russians have a secret philosophy which enables them to do maths better. or that some friend was a criminal and would be straightened out by power. Dmcq (talk) 13:32, 12 August 2011 (UTC)

Damn. Your bias towards Islam is so appalling and disgusting. You have no idea about Islam and all you do is envelop Islam with your prejudiced hatred which you have caught as a disease because of your western heritage of the hateful christian orientalists. Get your head out of the sand and learn something. — Preceding unsigned comment added by 139.153.56.156 (talk) 00:12, 15 April 2012 (UTC)

No need of an exaggerated mention of islam in this article; he was not speaking of his own religious beliefs in that comment. Whether what he said was true or not, whether he was sane or not, the nature of islam, & c., are not issues for discussion here. Karnan (talk) 19:27, 23 August 2011 (UTC)

Well if it had been important to him in some way that would be something but if you read it with the other trivia on that page in the book it just obviously had practically zero weight in his life. Dmcq (talk) 22:22, 23 August 2011 (UTC)

In reply to all comments: Godel, the man of consistency, praised Islam that way(according to the witness of Wang who was a skeptic). So, it is natural to mention his say when talking about his religious views. Regardless of being "paranoid" or "peculiar" and regardless of the "zero" weight(30 pages chapter), we shouldn't hide something the peculiar paranoid man said as a view concerning religion. What's the exaggeration here? The man was known to be so cautious, believing in Libenitz principle of sufficient reason, his Ontological proof, letters to his mother and his comments about the afterlife all are strong indications that he had deeply thought about religion. Mohammadanism! When a man like Godel wants to know about Islam, most probably he reads a translation of Qur'an. Islam is Qur'an. Islam has two main principles which are 1.The existence of a God and only one God; 2.There is an afterlife (Things that Godel realized by contemplation). The majority of what is alleged to be from Islam or about Mohammad as a person is a result of opinions and different understandings of what is called "Hadith" which were firstly collected nearly two centuries after Mohammad's death. This makes these information uncertain. In the same book[2] p.316, Godel said: Religions are, for the most part, bad -- but religion is not. — Preceding unsigned comment added by 41.232.187.56 (talk) 18:35, 20 February 2012 (UTC)

It is trivia of no weight. Just have a look at contents of that page. All the other stuff on that page is trivia too from someone who was going rather paranoid. See WP:TRIVIA. Rest of what you say is pure conjecture. Dmcq (talk) 20:32, 20 February 2012 (UTC)

Whatever you think, you have no reason to delete the quote. If that was said about any other religion, I doubt that you will have the same attitude. — Preceding unsigned comment added by 41.34.198.247 (talk) 12:53, 21 February 2012 (UTC)

I added Godel's quote about Islam again. It should be included and there is no need to remove it. If someone has a serious occult reason that the quote shouldn't be included, then he/she should tell us on the talk page about that, and to get an obvious agreement, before deleting it and deprecating people's right for knowing. The principle is to make information available, not to hide it or to make it incomplete. — Preceding unsigned comment added by Koshtomar (talk • contribs) 14:58, 17 October 2013 (UTC)

I can't believe that there is still someone wanting to hide that quote. — Preceding unsigned comment added by 105.202.15.211 (talk) 17:03, 4 April 2014 (UTC)

Towards tolerance promotion, it worth to mention here that, in Qoran, all Abrahamic religions are in fact one religion called Islam (See for example The Qoran, surat Al Emran آل عمران verses 19, 67, 84). Qoran defends the idea that Islam (or equivalently, Christianity or Judaism) claimed the same principles, and clarifies that proposed differences are results of human prejudices including misunderstanding, misrepresentation and miscopying (intended and casual). That seems what Godel realized. — Preceding unsigned comment added by 105.202.15.211 (talk) 18:24, 4 April 2014 (UTC) Note that not only Qoran adopted such a unifying perspective, but also the famous atheist R. Dawkins in his celebrated "The God Delusion" dealt with all the Abrahamic religions as one religion (Christianity). — Preceding unsigned comment added by 105.202.15.211 (talk) 18:37, 4 April 2014 (UTC)

Date of acquiring Austrian nationality

The English version states Gödel became an Austrian citizen at age 23. The German version says "1923 nahm Gödel die österreichische Staatsbürgerschaft an". Both versions say he was born in 1906. This is inconsistent. — Preceding unsigned comment added by 80.110.29.67 (talk) 20:38, 3 May 2014 (UTC)

proved v proven

Is this a WP:ENGVAR issue or a WP:COMMONALITY issue? Or just a general don't-make-useless-changes consideration?

In the US, "proved" and "proven" are about equally good when used for the passive or for the present perfect tense ("proven" is required when used as an adjective). If UK readers have a strong preference for "proven" and US readers are neutral, then maybe we should consider going with "proven" on COMMONALITY grounds. --Trovatore (talk) 19:27, 28 March 2016 (UTC)

Ngrams suggests 'proved' is several times more common, both in American and British English. — Carl (CBM · talk) 23:53, 28 March 2016 (UTC)
What query did you use? "Proved" by itself would be confounded by hits for the simple past. I saw strange things when I searched for "has proved"/"has proven" or "is proved"/"is proven" (for example, I sometimes got a yellow warning box saying there was only one hit, which struck me as dubious). --Trovatore (talk) 20:45, 29 March 2016 (UTC)
That's a good point; I just looked at 'proved' versus 'proven', which probably is a meaningless query. — Carl (CBM · talk) 23:31, 29 March 2016 (UTC)

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Accuracy

In the article we have

In 1934 Gödel gave a series of lectures at the Institute for Advanced Study (IAS) in Princeton, New Jersey, entitled On undecidable propositions of formal mathematical systems. Stephen Kleene, who had just completed his PhD at Princeton, took notes of these lectures that have been subsequently published.

But in A to Z of Mathematicians by Tucker McElroy, Infobase Publishing, May 14, 2014 page 120

In 1933 he visited the Institute for Advanced Study at Princeton (a mathematical think tank affiliated with Princeton University), where he would spend increasing amounts of time as the political situation in Europe deteriorated. Godel also suffered from mental depression, and he stayed in a sanatorium in Europe in 1934 after a nervous breakdown

Where the article statement comes from?--Vujkovica brdo (talk) 12:50, 30 June 2016 (UTC)

So certainly it's completely in order to ask for a source for the statement, but I don't see too much relevance to the other item you present. There is no contradiction between the two things. 1934 was an entire year; he could have both spent time in a sanatorium and also given the series of lectures. --Trovatore (talk) 22:20, 30 June 2016 (UTC)
I do not understand your comment here. The source I've cited mentioned two years: 1933 and 1934. You are talking about 1934 only and about some relevance.--Vujkovica brdo (talk) 05:51, 1 July 2016 (UTC)
I don't understand your comment. Why do you think the statement by Tucker McElroy contradicts what is in the article? It appears to me that it does not. --Trovatore (talk) 08:49, 1 July 2016 (UTC)
I'm not talking about a contradiction. It's more about completeness and the source saying the same as other sources. Please compare:

Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 by Kurt Gödel, Solomon Feferman, OUP USA, 1986 page 8
Godel visit in 1933-1934 was the first of three that he was to make to the Institute before taking up permanent residence there in 1940. He lectured on the incompleteness results in Princeton in the spring of 1934. Apparently he had already begun to work with some intensity on problems in set theory at the same time he felt rather lonely and depressed during this period in Princeton. Following his return to Europe, he had a nervous breakdown and entered a sanatorium for a time. In the following years there were to be recurrent bouts of mental depression and exhaustion. A scheduled return visit to Princeton had to be postponed to the fall of 1935 and then was unexpectedly cut short after two months, again on account of mental illness. More time was spent in a sanatorium in 1936, and Godel was unable to carry on at the University of Vienna until the spring of 1937

http://www.encyclopedia.com/topic/Kurt_Godel.aspx
The most obvious reason for this situation was Gödel’s increasing association with the Institute for Advanced Study at Princeton, of which he was a member for three years during the 1930’s; a less obvious reason was the state of his mental health. When the institute first began operation in the fall of 1933, he was a visiting member for the academic year, thanks to the efforts of Oswald Veblen, and from February to May 1934, he lectured on the incompleteness results. There he made Einstein’s acquaintance, but came to know him well only a decade later. Lonely and depressed while at Princeton, he had a nervous breakdown after re turning to Europe in June 1934, and was treated for this condition by the eminent psychiatrist Julius von Wagner-jauregg. that fall he again stayed briefly in a sanatorium (the first stay had been in 1931, for suicidal depression), postponing an invitation to re turn to the Institute for Advanced Study for the spring term of 1935 and informing Veblen that the delay was due to an inflammation of the jawbone. At Vienna, during the summer semester of 1935, he gave a course on topics in mathematical logic, then traveled to Princeton in September, suffering from depression and overwork, he resigned suddenly from the institute in mid-November, returned to Europe in early December, and spent the winter and spring of 1936 in a sanatorium. Veblen who had seen him to the boat, wrote to Paul Heegaard (who was on the organising committee for the 1936 International congress of Mathematicians), urging that Gödel “be invited to give one of the principal addresses. There is no doubt that his work on the foundations of mathematics is the most important which has been done in this field in our time.”
In 1935 Goumldel had made the first breakthrough in his new area of research: set theory. During May and June 1937 he lectured at Vienna on his striking result that the axiom of choice is relatively consistent. That summer he obtained the much stronger result that the generalized continuum hypothesis is relatively consistent; and in September 1937 John von Neumann, an editor of the Princeton journal Annals of Mathematics, urged him to publish his new discoveries there. Yet Gödel did not announce them until November 1938, and then not in the Annals but in a brief summary communicated to the Pro ceedings of the National Academy of Sciences.

Gödel's Theorem in Focus by Stuart Shanker, Psychology Press, 1990 page 7
He first came in 1933-1934 to lecture on his incompleteness theorems at the Institute for Advanced Study, where he spent the academic year. etc etc--Vujkovica brdo (talk) 12:56, 4 July 2016 (UTC)

Pronunciation

This so-called English pronunciation IS nonsense. RickK | Talk 07:32, 19 Mar 2004 (UTC)

OK, but how does one pronounce Goedel? Is it more gurdel than girdel? Paul Beardsell 08:18, 19 Mar 2004 (UTC)

There is no "r" sound in Gödel. There may be none in "gurdel" or "girdel" either for Paul Beardsell but there will be for many English speakers. Informal pronunciation guides like this are problematic, though I understand the need for conveying the sound of the "ö". BrendanH 11:37, 31 Mar 2004 (UTC)
In the absence of a change, I have edited the pronunciation guide. However, I feel my version and the previous version are both worse than nothing. Mine is too fussy, the previous version is simply wrong (because it does not work for many English speakers). Someone should delete both. BrendanH 11:15, Apr 8, 2004 (UTC)
Ok, I deleted both :-) linking to the 'rhotic' page was a nice idea, but apart from still not yielding the correct pronounciation it's also quite unwieldy (AC, 23:04, 9 Apr 2004)

This is all very interesting but I am at a loss: How does one pronounce "Go:dl"? Is that supposed to be SAMPA? Paul Beardsell 15:13, 10 Apr 2004 (UTC)

The correct pronounciation can be heard here. Curiously enough, there are two different pronounciations of which only the one labeled '...godels01.wav' (watch your browser's status bar) comes reasonably close (AC, 16:59, 18 Apr 2004)

That's an awful IPA transcription. The problem is that the template IPAc-en takes the transcriptions from Help:IPA for English, and it doesn't include the phoneme /ɜː/, just /ɜːr/, because Wikipedia IPA reduces the set to the diaphonemes of the English language, and the phoneme /ɜː/ happens to be one that only occurs in non rhotic English variants, and is not considered a diaphoneme, but just a phonetic transcription of a non rhotic English variant. When you try to represent the phoneme /ɜː/ using IPAc-en, it transforms it to the diaphoneme /ɜːr/, making it impossible to render the referenced phonetic transcription (/ˈɡɜːdəl/). Am I right? Any idea? --Gradebo (talk) 15:24, 2 February 2016 (UTC)

Let's just not use IPAc-en then.--Anareth (talk) 17:58, 1 August 2016 (UTC)

If it were provable it would be wrong, so one could prove wrong statements in this system.

Is some punctuation missing here ?

Shyamal 11:12, 8 Apr 2004 (UTC)

There is an often-repeated story about Godel's US citizenship interview, during which he began to describe the loophole he had found in the US Constitution, whereby the USA could be (legally) transformed into a dictatorship.

See for example this post from sci.math

1. Is it worth making some mention of this curious biographical detail in the article?

2. Is it recorded anywhere just what this "loophole" was? I have seen the anecdote in a number of different versions, but never any indication of how Godel's discovery was supposed to work.

User:Stuart Presnell

It's very important to view Godel's fears within a historical context, which the author of the entry failed to provide. Godel had just witnessed Nazi Germany be transformed from a functional democracy into a hated dictatorship; and they gained their power partly because of a loophole in the German Constitution that made the Nazi takeover legal on paper, if not in practice.

Godel may have been an eccentric person, but he wasn't just being an eccentric. He'd just seen one country (legally) transformed into a dictatorship. He had no reason to assume it couldn't happen again. Warning the judge about it probably sounded like his civic duty as a potential citizen.

Logical Dilemmas: The Life and Work of Kurt Gödel Publication Date

John W. Dawson Jr. apparently published "Logical Dilemmas: The Life and Work of Kurt Gödel" in 1997, but there are several references to "Dawson 2005" in the article. What book is this referencing? Additionally, in the "legacy" section, it says Dawson published a book in 2005, however on Dawson's Wikipedia page, there is no mention of this book. Is there another book that was published in 2005 that was misattributed to Dawson? Is there another book that Dawson published that has a different title, and is missing from his wikipedia entry? There are definitely inconsistencies, however you look at it. — Preceding unsigned comment added by 2605:6000:8C41:7B00:B110:F915:B411:C726 (talk) 08:25, 5 December 2016 (UTC)

Please sign all your talk page messages with four tildes (~~~~). Thanks.
Perhaps this reprint? - DVdm (talk) 11:49, 5 December 2016 (UTC)

Yeah, it looks like that's it. 2605:6000:8C41:7B00:31EF:6FA4:3E5:91C6 (talk) 21:03, 5 December 2016 (UTC)

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Age of Reason

It seems the absence of worldview-context renders this Godel page meaningless: Cantor was a christian in his worldview, as was Godel. They destroyed the attempts by Whitehead and Russell and Hilbert to make mathematics a banner for atheism. Russell et al belonged to the age of reason, they believed in human reason above all else, whereas neither Cantor nor Godel shared this view, attributing knowledge instead ultimately to God. Hence Hilbert's plaintive cry of wir mussen wissen, Wir werden wissen, we shall know! Godel's thesis condemned the acolytes of reason to forever be in ignorance, due to the weakness of internal axioms. Casting this event purely in terms of mathematical symbols and jargon (as has been done) is rob the readers of it's meaning...EG: why is Godel one of the greatest logicians? Because he defeated the age of reason and ended modernity, with its faith in human reason, ushering in the post-modern. 7kingis (talk) 09:04, 1 October 2017 (UTC)

starving to death is NOT logical, thus he is not one of the greatest logicans!Juror1 (talk) 18:58, 14 December 2017 (UTC)

Majority or Minority

The Wikipedia page on Kurt Gödel says that upon his birth, the family was in a German-speaking majority in Brünn, but in my book, Math & Mathematicians: The History of Math Discoveries Around the World (ISBN 0-7876-3813-7) claims that the family was in the German-speaking minority in Brünn. Which one is correct? Vincentupsdellred (talk) 18:31, 15 December 2017 (UTC)

The door was alresady open!

"The former result [i.e., the relative consistency of AxCh] opened the door for mathematicians to assume the axiom of choice in their proofs" seems to me to be misguided because mathematicians had been using the axiom of choice (knowingly or not) before Gödel's proof. 31.52.253.13 (talk) 12:57, 20 August 2018 (UTC)

Studying Kant

In the section "Princeton, Einstein, U.S. citizenship" it is claimed that, "To a lesser extent he studied Immanuel Kant …." However, according to Gödel’s remark of 1975, in answer to the question of influence on his thinking, he said, “Only Kant was important.” This does not seem as though he only studied Kant "to a lesser extent." Citation: Reflections on Kurt Gödel, Hao Wang, Cambridge, Massachusetts:MIT Press, 1995, p. 17. 96.248.116.130 (talk) 23:09, 28 August 2019 (UTC)De’Andreay Williams

Godel's Ontological Proof

I'm surprised that no mention is made of Godel's ontological proof of God's existence: it is well known, even controversial, and the article explicitly mentionds Godel's theism multiple times. Is there a reason this isn't there that I'm missing? OldTimeNESter (talk) 18:15, 16 November 2019 (UTC)

It is briefly mentioned at the very end of the "Career" section. The mention does seem a bit meager. I would view favorably an attempt to flesh it out, and perhaps refer to it again in the "Religious views" subsection. (It's not strictly speaking about his religious views, and in fact he seemed eager to keep that aspect separate, but it's a natural place to look for it for the reader, and with good writing we should be able to make the distinction clear.)
I would like to see this handled by an expert. It looks like Jeffreykegler has not edited in almost five years, which is a great pity. --Trovatore (talk) 22:01, 17 November 2019 (UTC)
  1. ^ Hao Wang 1996, A logical journey: from Gödel to philosophy. p. 148
  2. ^ Hao Wang, A logical journey: from Godel to philosophy
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