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Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.

9 votes
2 answers
888 views

What did the Intuitionists want to do with applied mathematics?

Oversimplification: Newton & Leibnitz &c build the calculus and other methods that solve a vast number of practical problems. Weierstrass, Dedekind, Cantor &c build a foundation under it dependent on …
bimargulies's user avatar
3 votes
2 answers
568 views

Bishop's paradox of the countability of sequences

In 'Foundations of Constructive Analysis', in the notes at the end of the first chapter, Bishop poses an apparent paradox as an exercise for the reader: Since every sequence of rational numbers ca …
bimargulies's user avatar