Difference between revisions of "The Road to Reality Study Notes"

The Road to Reality Study Notes (view source)

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 === 1.5 The Good, the True, and the Beautiful ===
+The full conception of [https://en.wikipedia.org/wiki/Theory_of_forms Plato's theory of forms] was not limited to only mathematical notions. Mathematics was linked to the concept of ''Truth'' but Plato was also interested in the absolute idealized forms of ''Beauty'' and ''Good''. Beauty plays an important role in many mathematical discoveries and is often used as a guide to the truth. Questions of morality are of less relevance in this context but are critical with respect to the mental world. Moral debates are outside of the scope of this book but must be considered as science and technology progress. Penrose notes that figure 1.3 has purposely been constructed to be paradoxical in the sense that each world is entirely encompassed by the next. He writes "There may be a sense in which the three worlds are not separate at all, but merely reflect, individually, aspects of a deeper truth about the world as a whole of which we have little conception at the present time."
 == Chapter 2 An ancient theorem and a modern question ==