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 jaydaigle.net
A Fictional History of Numbers, Part 3: Computability, Reality, and Leaving Well Enough Alone.
| | jdh.hamkins.org
Alan Turing, On computable numbers | Joel David Hamkins
3.2 parsecs away

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| | I have been reading Alan Turing's paper, On computable numbers, with an application to the entsheidungsproblem, an amazing classic, written by Turing while he was a student in Cambridge. This...
| | xorshammer.com
Doing Calculus on the Rationals (with the help of Nonstandard Analysis) - XOR's Hammer
3.5 parsecs away

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| | Nonstandard Analysis is usually used to introduce infinitesimals into the real numbers in an attempt to make arguments in analysis more intuitive. The idea is that you construct a superset $latex \mathbb{R}^*$ which contains the reals and also some infinitesimals, prove that some statement holds of $latex \mathbb{R}^*$, and then use a general "transfer principle"...
| | mathwithbaddrawings.com
Why the Number Line Freaks Me Out - Math with Bad Drawings
2.6 parsecs away

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| | "Welcome to math class, boys and girls! Today we'll be drawing a picture that gestures beyond the limits of mortal comprehension."
| | marcospereira.me
Backpropagation From Scratch-Marcos Pereira
23.8 parsecs away

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| In this post we summarize the math behind deep learning and implement a simple network that achieves 85% accuracy classifying digits from the MNIST dataset.