Julian Barbour - Complexity as Time


See  Foundations of Physics and Mathematics.

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Now look how  "mainstream cosmology" approaches these things:

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Sabine did a critique of this:


At 5:43 "If you went that way (←) for billions of years you could arrive back where you started from that way (→)!" And if the Universe is rotating, then according to Einstein and Gödel you could arrive back before you left, and then how would you know where you started?

See the Wikipedia page Pseudo-Riemannian manifold.

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Here's Jade's video: Jade on The Shape of Space

And here's her video on the thermodynamic arrow of time:

... and here's her video on the importance of context when you make a mathematical statement:

The thing is that time has passed when the computer discovers the next potential Berry's number. That moment was a tick (or a tock) on God's clock. See Jade on Time and Information.

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The Math Sorceror reviewed Lindgren's Vector Calculus yesterday:


I think Norman Wildberger would want you to prove that if the limits of the coefficients exist then the limit of the vector exists. It's not obvious to me, because i, j and k could be any orthonormal vectors in a space of any number of dimensions. See Emily Riehl's talk in Daniel Tubbenhauer With A Plan: Become an AI and Eradicate Human Beings From Mathematics and Daniel Tubbenhauer's Algebraic Geometry Syllabus.

See https://mathsorcerer.com.

Subscribe to The Math Sorceror.

Gabriele Carcassi on infinite-dimensional spaces in quantum mechanics:

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16:55 A student asks about Γ which is the type context of a judgement. Her reply is interesting. She knows what Gamma is, of course, but not what the student is talking about!

36:49 I have a feeling that Gödel's FIT will turn out to be one of those proofs that goes the wrong way around a hole, like xzr^{-1}:

See Emily Riehl Doing Stratospheric Category Theory and Another Excellent Talk on HoTT by Steve Awodey.

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And this was posted by Anton two days ago:


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Now I have to post this too:


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