Combining Philosophers

Ideas for Bonaventura, Lawrence B. Lombard and Kurt Gdel

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2 ideas

2. Reason / A. Nature of Reason / 1. On Reason
For clear questions posed by reason, reason can also find clear answers [Gödel]
     Full Idea: I uphold the belief that for clear questions posed by reason, reason can also find clear answers.
     From: Kurt Gödel (works [1930]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.5
     A reaction: [written in 1961] This contradicts the implication normally taken from his much earlier Incompleteness Theorems.
2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
     Full Idea: Impredicative Definitions are definitions of an object by reference to the totality to which the object itself (and perhaps also things definable only in terms of that object) belong.
     From: Kurt Gödel (Russell's Mathematical Logic [1944], n 13)