Mind Matters Natural and Artificial Intelligence News and Analysis

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Nobelist Roger Penrose Talks About His Impossible Triangle

At Closer to Truth, the mathematical physicist explains to Robert Lawrence Kuhn how he understands the relationship between mathematics, the mind, and the physical world

Last month, Robert Lawrence Kuhn interviewed eminent British mathematical physicist Sir Roger Penrose on the relationship between mathematics, the mind, and the physical universe (December 9, 2022/32:00 min). Penrose likes to illustrate the relationship between the three with an “impossible” triangle (see below). Here are a couple of transcribed selections from the first part of the discussion in Part 1*, concerning the Penrose Triangle, with some notes: Robert Lawrence Kuhn: Let’s start with your grand metaphysical framework, your three worlds — three mysteries: the physical world, the mental world, the platonic or mathematical world — each connected to the other two in your famous diagram of an equilateral triangle. What’s the origin of this vision of yours of foundational reality? Read More ›

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The Mind Can’t Be Just a Computer

Gödel demonstrated that fact and Turing tried to live with it

Kurt Gödel (1906–1978) proved that there are truths in mathematical logic that lie outside mathematical logic, which means that the mind cannot be understood simply as a computer.

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