By Mario Livio, read in 2005

180 Morris Kline: ”Premature abstraction falls on deaf ears, whether they belong to mathematicians or to students."

180 James R. Newman: "The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing."

188 "Klein showed that in many respects, geometry

206 Check out similar symmetries in 1D, 3D and even 4D and beyond. Then check on transformations from 1D --> 2D--> 3D and see what happens. Possible cosmological basis?

216 Emmy Noether's bio

230 Fermions - spin 1/2, Bosons - spin 1, gravitons - spin 2

230 Supersymmetry

236 Behavioral studies: "pulling habits out of rats".

250 Weinberg: "I suspect that at the end the only firm principle will be that of mathematical consistency."

252 The group of musical semitones

256 Dimensions of Lie Groups

257 The "Thirty Years War", (1950-1980), of classification of finite simple groups.

257 Galois used properties of alternating groups to prove the insolubility of the quintic.

265 Creativity

266 Csikszentmihalyi's ten dimensions of complexity

268 Creative people are commonly orphans, ~30%

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©2005 Paul R. Martin, All rights reserved.