id author title date pages extension mime words sentences flesch summary cache txt work_k7zbdnp5lrguxjwffvdgvtlurq Adam Rieger The Beautiful Art of Mathematics† 2017 29 .pdf application/pdf 7287 512 63 Some whole areas of mathematics are sometimes cited as particularly beautiful: for example number theory and complex analysis (an area that stands out 181) is that talk of mathematical beauty is really indirect talk about enlightenment, a concept he (somewhat implausibly) claims mathematicians dislike and avoid discussing directly because it admits of degrees. for aesthetic properties', which entails that no abstract objects have any aesthetic properties, and hence (assuming for the moment a platonistic conception) that no mathematical proofs, theorems or objects can be beautiful. connect beauty and truth in science and mathematics, via what he calls the 'aesthetic induction' (see for example [1996] and [2005]). But as argued above (Section 4) mathematical beauty seems primarily located in the content of theorems and proofs, rather than the particular way that content is expressed. Beauty in proofs: Kant on aesthetics in mathematics. ./cache/work_k7zbdnp5lrguxjwffvdgvtlurq.pdf ./txt/work_k7zbdnp5lrguxjwffvdgvtlurq.txt