Hrishikesh Alshi·Oct 3The Number That Broke Our Measuring Tape“Irrational” isn’t an insult. It’s a confession that reality refused to fit our ruler.A response icon2A response icon2
Arimoldi·Sep 12Don’t call sqrt(2) irrational any moreAbstract I propose a generator-discovery procedure applied to the Babylonian sexagesimal expansion: recover a Continued-Fraction prefix…
Reuven Harmelin·Feb 11Two Distinct Proofs of Irrationality of The Square Root of a Non-Perfect Square, Demonstrated on…The first, simpler proof, is purely number theoretic. We assume, by negation, that the square root of 7 is a rational number, that is, that…
InScience SpectrumbyBen Fairbairn·Jan 21A Curious Class of Irrational NumbersSimpler than 𝜋 or e and even simpler than √2A response icon8A response icon8
Nishu_Raj·Oct 19, 2025From Chaos to Structure: The Story of Irrational NumbersIntroduction: When we first encounter irrational numbers, they feel wild and untamed. Numbers like π/pi and sqrt(2) never end, never…
InGraphicmathsbyMartin McBride·Aug 20, 2025Root 2 is irrational — proof by the carpets theoremIn the article Root 2 is irrational — proof by prime factors, we used proof by contradiction to prove that the square root of 2 is…A response icon1A response icon1
Kanishk Raj Tanwar·Jul 19, 2025Proving that √2 is irrational using the Well-Ordering PrincipleThe well-ordering principle states that every subset of a well-ordered set is well-ordered. An example of a well-ordered set is the set of…
InStamatics, IIT KanpurbyAnubhabgoswami·Mar 17, 2025The Beauty of Continued FractionsIt often feels like patterns in nature emerge effortlessly, waiting for a mathematician to observe, analyze, and uncover their deeper…
InGraphicmathsbyMartin McBride·Dec 12, 2024Pathological cases — Dirichlet functionMy new book Calculus is available on Leanpub, with a free sample chapterA response icon1A response icon1
