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Articles

Is infinity an odd or even number? (2011)

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Quantum physics falls apart without imaginary numbers

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Why don't we define “imaginary” numbers for every “impossibility”? (2012)

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Zero one infinity rule

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Formalising a new proof that the square root of two is irrational

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Twenty questions is a weird game

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The math behind mind-reading tricks

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“I don't know the numbers”: a math puzzle

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How I See Numbers

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How the modern world arose from imaginary numbers

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How many real numbers exist? New proof moves closer to an answer

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Surreal numbers (2014)

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Surreal Numbers – An Introduction (2019) [pdf]

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How inevitable is the concept of numbers?

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What’s Wrong with “Multiplication Is Repeated Addition”? (2008)

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All People in Canada are the Same Age (1997)

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Division by zero in type theory: a FAQ

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0.999...= 1

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Doing a math assignment with the Lean theorem prover

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The field of “useful reals” between rational and real numbers (2019)

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Why numbering should start at zero (1982)

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Who Can Name the Bigger Number? (1999)

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Can Computers Prove Theorems?

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How the brain 'approximates' without counting

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The Feynman Lectures on Physics: Algebra (1963)

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What's the difference between 0/0 and 1/0?

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The Saddest Thing I Know about the Integers

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What Even Is a Number?

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An introduction to Georg Cantor’s transfinite paradise

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Formalizing 100 Theorems

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Formalizing 100 theorems in Coq

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1/0 = 0

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A Visual, Intuitive Guide to Imaginary Numbers (2007)

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How to explain infinity to kids

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The physics of infinity

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Honda Needs a Tune-Up (2008)

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Recognizing when two arithmetic expressions are essentially the same

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Why is the Quintic Unsolvable?

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Why numbering should start at zero (1982)

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Zenzizenzizenzic

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Does 1+2+3+... Really Equal -1/12?

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A Quirky Function

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Why isn’t the fundamental theorem of arithmetic obvious? (2011)

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The Dying Art of Mental Math Tricks

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Is there any point to the 12 times table?

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Math Bite: Irrationality of √m (1999)

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Math Mistakes

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Nix the Tricks: Math tricks defeat understanding

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Well vs. Equal Temperament (2000)

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When is proof by contradiction necessary?

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Zero

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Who Can Name the Bigger Number?

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The Saddest Thing I Know about the Integers

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Have any long-suspected irrational numbers turned out to be rational?

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0^0

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The sum of all the positive integers is not -1/12

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Teaching Square Roots to a Five Year Old

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Who Can Name the Biggest Number?

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My IQ

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What number is halfway between 1 and 9?

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What are imaginary numbers?

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What does 0^0 equal? Why do mathematicians and high school teachers disagree?

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Complex numbers have never been so intuitive to me

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Mathematical explanation of music and white/black notes in a piano

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0 degrees celsius + 0 degrees celsius -

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Who Can Name the Bigger Number?

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The centuries-old struggle to play in tune

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The math exams of my life

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Honda's Hidden Resonators Keep Tire Noise to a Minimum

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How the square root of 2 became a number

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A proof of proof by infinite descent

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Evaluating a class of infinite sums in closed form

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Euclid's Proof that √2 is Irrational

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How to sort your library in exactly 51,271 steps

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