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3 votes
1 answer
455 views

Does cut elimination fail here?

Proving $\lnot\lnot(A\lor\lnot A)$ in intuitionistic sequent calculus with cut seems to be easy: We use cut to prove $\lnot(A\lor\lnot A)\vdash \bot$ from $\lnot(A\lor\lnot A)\vdash \lnot A \land\lnot …
8 votes
2 answers
894 views

Did Bishop, Heyting or Brouwer take partial functions seriously?

So did Bishop, Heyting or Brouwer (or any other prominent "early" proponent of intuitionism) explicitly discussed this relationship, and clearly indicated to role (and treatment) of such partial functions …