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jdh.hamkins.org | ||
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reportofanimals.com
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| | | | | DISCLAIMER: This is an essay I wrote for my Masters degree in 2023, part of a series I will be putting on this site to get me started. While I have changed some of my views and found new lines of inquiry since I wrote this, I feel there is value in it and after... | |
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jeremykun.wordpress.com
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| | | | | We assume the reader is familiar with the concepts of determinism and finite automata, or has read the corresponding primer on this blog. The Mother of All Computers Last time we saw some models for computation, and saw in turn how limited they were. Now, we open Pandrora's hard drive: Definition: A Turing machineis a... | |
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xorshammer.com
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| | | | | Let $latex \mathrm{PA}$ be Peano Arithmetic. Gödel's Second Incompleteness Theorem says that no consistent theory $latex T$ extending $latex \mathrm{PA}$ can prove its own consistency. (I'll write $latex \mathrm{Con}(T)$ for the statement asserting $latex T$'s consistency; more on this later.) In particular, $latex \mathrm{PA} + \mathrm{Con}(\mathrm{PA})$ is stronger than $latex \mathrm{PA}$. But certainly, given that... | |
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theimaginativeconservative.org
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| | | Should modern man devote himself like Sartre to undermining bourgeois society and scoffing at manners and morals? Should he play the part of Socrates, questioning everything and affirming nothing? To answer yes to these questions is to grant nothing to human life beyond the mockery of it. T.S. Eliot's solution was to embrace culture and tradition, and to take the path of poetry... (essay by Sir Roger Scruton) | ||
