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This page and the page for Barcan's formula have little content and could probably be merged
All four formulas (Barcan, Buridan, converses) could be described in a neutral manner. This is because a modal operator could have different interpretations. For example, "if there is someone that we know is F, then we know that someone is F". As far as classical quantified modal logic goes, this is also Buridan's formula. The alethic modality interpretation can be discussed separately.