Comments on: The Autonomy of Mathematical Knowledge — Chap. 1

By: There’s Something about Gödel, Ch. 12 « Logic Matters

There’s Something about Gödel, Ch. 12 « Logic Matters — Wed, 02 Jun 2010 00:43:35 +0000

[...] for foundations for those theories outside mathematics (in logic, in intuition, or whatever): see here and here. Which rather suggests that Wittgenstein was as insensitive — shall we say? — [...]

By: Peter Smith

Peter Smith — Tue, 20 Oct 2009 22:04:18 +0000

Indeed, very good point. Let's just say, more neutrally, threaten Cantor's paradox — leaving it open whether Cantor himself blocks the threat.

By: Rowsety Moid

Rowsety Moid — Tue, 20 Oct 2009 20:05:04 +0000

"There are two kinds of responses that we can have to the paradoxes that we've let creep into Cantor's paradise"

There is also the view that there never were any paradoxes in Cantor's paradise (as opposed to, say, Frege's).

Hallett's Cantorian Set Theory and Limitation of Size and Lavine's Understanding the infinite are typically cited in support.

...

BTW, I'm very pleased you're discussing this book in such detail. It's an interesting subject, but there's no way I could afford to buy the book at the price CUP is asking.