Commentary by cpressey on Mathematics works =========================================== ### The Magical Maze ### Archimedes' Revenge ### Compactness and Contradiction ### Infinity - A simple, but not too simple introduction Before you do any serious thinking about mathematics you should probably try to decide what your feelings towards infinity are. ### Practice of mathematics ### Examples of common false beliefs in mathematics. ### Math papers where the only issue is that someone else could\'ve done it but didn\'t ### When has the scaffolding been more important than the completed building? ### Big ideas that began small or small ideas that became big ### Proofs of theorems that proved more or deeper results than what was first supposed or stated as the corresponding theorem ### Every mathematician has only a few tricks ### PoincarĂ© on intuition in mathematics - MacTutor History of Mathematics ### There's more to mathematics than rigour and proofs \| What\'s new ### Is an interpretation mathematics (fit for publication)? ### Are hypergeometric series not taught often at universities nowadays, and if so, why? ### Is there a reason it is so rare we can solve differential equations? ### How many words (i.e. not \"math\" symbols\") should I use in my proofs? ### Why do we have two theorems when one implies the other? ### Theorems with many distinct proofs ### \"Strange\" proofs of existence theorems ### Studying mathematics ### Why\'s math way more puzzling, abstruse than law and medicine? ### Why there is no Hitchhiker's Guide to Mathematics for Programmers \| Math ∩ Programming ### How can I counter a student response saying \"Why are we bothered to reinvent the wheel when proving mathematical identities?\" ### Response to Students Who Say \"This Is Not Important\" ### Daunting papers/books and how to finally read them ### Learning mathematics in an \"independent and idiosyncratic\" way ### Mathematical Rigour ### Why is writing down mathematical proofs more fault-proof than writing computer code? ### Consequences of lack of rigour ### Soft question: Examples where lack of mathematical rigour cause security breaches? ### Controversy in mathematics ### Replication crisis in mathematics ### Titans of Mathematics Clash Over Epic Proof of ABC Conjecture \| Quanta Magazine ### The ABC conjecture has (still) not been proved \| Persiflage ### Notes on the Oxford IUT workshop by Brian Conrad \| mathbabe ### Endless controversy ### Why are most cranks old men? ### People ### Paul du Bois-Reymond - Wikipedia ### James Dugundji - Wikipedia ### Other ### Can we define algebraic structures (group, rings, modules, fields) via their arrows? ### If two pairs of numbers have equal sums and products, what can we conclude about the pairs? ### Readings | Mathematics for Computer Science | Electrical Engineering and Computer Science | MIT OpenCourseWare