Paul Cohen’s philosophy of mathematics and its reflection in his mathematical practice

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چکیده

Abstract This paper studies Paul Cohen’s philosophy of mathematics and mathematical practice as expressed in his writing on set-theoretic consistency proofs using method forcing. Since Cohen did not consider himself a philosopher was somewhat reluctant about philosophy, the analysis uses semiotic literary textual methodologies rather than mainstream philosophical ones. Specifically, I follow some ideas Lévi-Strauss’s structural semiotics narratological methodologies. show how reflections rhetoric attempt to bridge what he experiences an uncomfortable tension between reality formal by means notion intuition.

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ژورنال

عنوان ژورنال: Synthese

سال: 2023

ISSN: ['0039-7857', '1573-0964']

DOI: https://doi.org/10.1007/s11229-023-04273-5