Ep. 59 – Can You Approach Infinity? | Dr. Michael Huemer

The most popular resolution to Zeno’s paradoxes is to say, “Calculus solves it!” But, as I’ve written and spoken about before, the logic of calculus is likely dubious.

My guest this week is Dr. Michael Huemer, who has recently written a book called Approaching Infinity, where he claims that the modern theories of infinity do need to be revised – that calculus does not solve Zeno’s paradoxes – and that we have to distinguish between completable and non-completable infinities.

Though Dr. Huemer and I disagree on the metaphysics of mathematics, and I have an even more radical position on infinities, we agree that more work needs to be done to place modern mathematics onto sounder footing.

Guest’s Book: Approaching Infinity
“Publishing in Philosophy”
Guest’s Website

The Praxis Apprenticeship

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