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Mathematics

The Magical Maze

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Archimedes' Revenge

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Compactness and Contradiction

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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

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Examples of common false beliefs in mathematics. - MathOverflow

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soft question - Math papers where the only issue is that someone else could\'ve done it but didn\'t - MathOverflow

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soft question - When has the scaffolding been more important than the completed building? - MathOverflow

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soft question - Big ideas that began small or small ideas that became big - MathOverflow

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reference request - Proofs of theorems that proved more or deeper results than what was first supposed or stated as the corresponding theorem - MathOverflow

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big list - Every mathematician has only a few tricks - MathOverflow

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Poincaré on intuition in mathematics - MacTutor History of Mathematics

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There's more to mathematics than rigour and proofs \| What\'s new

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soft question - Is an interpretation mathematics (fit for publication)? - MathOverflow

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mathematics education - Are hypergeometric series not taught often at universities nowadays, and if so, why? - MathOverflow

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calculus - Is there a reason it is so rare we can solve differential equations? - Mathematics Stack Exchange

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logic - How many words (i.e. not \"math\" symbols\") should I use in my proofs? - Mathematics Stack Exchange

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fa.functional analysis - Why do we have two theorems when one implies the other? - MathOverflow

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soft question - Theorems with many distinct proofs - MathOverflow

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\"Strange\" proofs of existence theorems - MathOverflow

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Studying mathematics

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mathematical pedagogy - Why\'s math way more puzzling, abstruse than law and medicine? - Mathematics Educators Stack Exchange

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Why there is no Hitchhiker's Guide to Mathematics for Programmers \| Math ∩ Programming

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mathematics - How can I counter a student response saying \"Why are we bothered to reinvent the wheel when proving mathematical identities?\" - Academia Stack Exchange

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secondary education - Response to Students Who Say \"This Is Not Important\" - Mathematics Educators Stack Exchange

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soft question - Daunting papers/books and how to finally read them - MathOverflow

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books - Learning mathematics in an \"independent and idiosyncratic\" way - MathOverflow

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Mathematical Rigour

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Why is writing down mathematical proofs more fault-proof than writing computer code? - Computer Science Stack Exchange

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soft question - Consequences of lack of rigour - MathOverflow

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history - Soft question: Examples where lack of mathematical rigour cause security breaches? - Cryptography Stack Exchange

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Controversy in mathematics

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research - Replication crisis in mathematics - MathOverflow

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Titans of Mathematics Clash Over Epic Proof of ABC Conjecture \| Quanta Magazine

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The ABC conjecture has (still) not been proved \| Persiflage

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Notes on the Oxford IUT workshop by Brian Conrad \| mathbabe

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ho.history overview - Endless controversy - MathOverflow

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independent researcher - Why are most cranks old men? - Academia Stack Exchange

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People

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Paul du Bois-Reymond - Wikipedia

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James Dugundji - Wikipedia

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Other

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abstract algebra - Can we define algebraic structures (group, rings, modules, fields) via their arrows? - Mathematics Stack Exchange

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algebra precalculus - If two pairs of numbers have equal sums and products, what can we conclude about the pairs? - Mathematics Stack Exchange

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Readings | Mathematics for Computer Science | Electrical Engineering and Computer Science | MIT OpenCourseWare

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