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Natural constructive proofs of A via A -> B, proof paradoxes, and impredicativity

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Abstract

Guided by a passage in Kreisel, this is a discussion of the relations between the phenomena in the title, with special attention to the method of analysis and synthesis in Greek geometry, fixed point theorems, and Kreisel's contact with Gödel.
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Dates and versions

hal-03296950 , version 1 (23-07-2021)
hal-03296950 , version 2 (07-03-2022)

Identifiers

  • HAL Id : hal-03296950 , version 2

Cite

Mark van Atten. Natural constructive proofs of A via A -> B, proof paradoxes, and impredicativity. 2022. ⟨hal-03296950v2⟩
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