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Latest Articles
Why Wild Capuchin Monkeys Started 'Kissing' an AI Touchscreen for Banana Rewards
5+ hour, 42+ min ago (272+ words) Wild capuchin monkeys in Costa Rica's Taboga Forest Reserve learned to touch an artificial-intelligence-powered screen to receive banana rewards, according to a study published as a proof-of-concept in the American Journal of Primatology. Researchers said the device offers a new…...
The Evolution of the Triangle: From Ancient Geometry to Modern CGI
2+ hour, 25+ min ago (30+ words) The triangle itself never changed. What changed was humanity’s understanding of what three connected lines could do. A triangle …...
Capuchin monkeys learn to ‘kiss’ an AI touchscreen for banana rewards in a groundbreaking Costa Rica experiment as new technology takes animal cognition research into the wild
1+ day, 8+ hour ago (401+ words) Wild capuchin monkeys in Costa Rica have learned to use an AI-powered touchscreen to earn banana rewards, with some even “kissing” the screen. The new CapuchinAI system could help scientists study learning, memory, impulse control and cognitive flexibility in wild…...
Monkeys Show a Strange Language Quirk We Thought Was Unique to Humans
1+ day, 8+ hour ago (218+ words) If I told you the shapes below had names – one is called 'Bouba', the other 'Kiki' – which would you think is which? The shapes used in the 'bouba/kiki' experiments....
Bypassing Pi: How to Find the Area of a Circle Using Two Squares
1+ day, 16+ hour ago (146+ words) Learn more about the Void rule in logic I use for this post here: List: Philosophy of Math and Metaphysics | Curated by Benjamin Allen …...
An American President’s Proof of The Pythagorean Theorem
1+ day, 18+ hour ago (106+ words) As the 20th President of the United States in 1881, James Garfield came up with an elegant proof of the Pythagorean Theorem in 1876 while being a Congressman. His proof of this well-known theorem was later published in the New England Journal of…...
OpenAI Reports Internal Model Disproved an 80-Year-Old Geometry Problem
3+ day, 10+ hour ago (505+ words) According to OpenAI's report on the discrete geometry result, the internal model was not specifically trained for mathematics. OpenAI describes it as a general-purpose reasoning model and says external mathematicians validated the result. The company has not identified the model…...
The Transport Principle: Dividing by Zero in Geometric Algebra
3+ day, 21+ hour ago (1792+ words) The equations of gravity divide by zero at the centre of a black hole. This is the mathematics that refuses to stop there: no …...
The Pythagorean Triple Machine
4+ day, 5+ hour ago (21+ words) Discover how a simple algebraic trick factoring a difference of squares generates every Pythagorean triple, from 3-4-5 to infinity....
The Guilty Rapture of Geometry
1+ week, 21+ hour ago (29+ words) On representation, distinguished points, and the forms that quietly replace the world • • • I. THE RAPTURE Whenever we find a geometric analogue for a difficult …...