Curry and Fitch on paradox

Seiki Akama, Sadaaki Miyamoto


Those who want to formalize naive set theory have to face Curry’s paradox. There are many solutions to avoid Curry’s paradox. Fitch’s approach is less well known, but it deserves to be fully discussed. In this paper, we compare Fitch’s system with other non-classical systems within natural deduction. The philosophical impact on Fitch’s philosophy of mathematics is also addressed.

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