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9
votes
Did Bishop, Heyting or Brouwer take partial functions seriously?
The question of how Brouwer perceived partial functions is very interesting and worthy of investigation. I only have two comments about this:
Brouwer and Heyting certainly did consider partial funct …
6
votes
Rice's theorem in type theory
I'll prove the first scheme; you can find a link by using the cite button below this answer.
First, we show that $$\forall x,y : A\,(\phi(x) \lor \lnot\phi(y))\tag{*}\label{eq}.$$ To see this, given …