As long as I’m here I figured I’d let anyone who’s interested know about a great book I’m reading right now. It’s incredibly dense & reads more as a philosophy of science book you sip rather than a novel you chug, but it’s an incredible journey through interrelationships between all formal systems, from number theory to art to programming to DNA to music to prose to just about anything. It’s titled Gödel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter. Though it was written over 20 years ago, it’s written on such a wonderfully accessible analytical level that it’s still totally relevant today.
From the Amazon review:
Topics Covered: J.S. Bach, M.C. Escher, Kurt Gödel: biographical information and work, artificial intelligence (AI) history and theories, strange loops and tangled hierarchies, formal and informal systems, number theory, form in mathematics, figure and ground, consistency, completeness, Euclidean and non-Euclidean geometry, recursive structures, theories of meaning, propositional calculus, typographical number theory, Zen and mathematics, levels of description and computers; theory of mind: neurons, minds and thoughts; undecidability; self-reference and self-representation; Turing test for machine intelligence.
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