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I'm reading Douglas Hofstadter's Gödel, Escher, Bach right now and it's probably one of the best books I've ever read. It lays down the true foundations of Mathematics and introduces you to formal systems in a really accessible and insanely interesting way. The whole book is an argument on how to explain human consciousness using the idea of a "Strange Loop," which is a fundamental concept in Mathematics (and is beautifully reflected in Escher's and Bach's work).