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hand: two apples, two oranges and two brass number plates. These are all sets of two things and ‘two’ is the collection of all these sets. In 1890, Gottlob Frege completed his theory of sets. The project had taken him five years. Unfortunately, just before sending the book to the publisher, Bertrand Russell wr
ents believe making a thinking machine is just a matter of building a really large, fast neural network and working out how to train it efficiently. Quantum Brains Conventional wisdom says each brain cell is a single processing unit making an on-off decision — fire, or don't fire - depending on the state
6989 mathematics, for example: Whitehead and Russell’s Principia Mathematica in 1910 was the biggest showoff effort. There were previous attempts by Gottlob Frege and Giuseppe Peano that were a little more modest in their presentation. Ultimately, they were wrong in what they thought they should formalize: They
at MIT, and head of its Program in Science, Technology & Society. He is the author of How the Hippies Saved Physics: Science, Counterculture, and the Quantum Revival and American Physics and the Cold War Bubble (forthcoming). In The Sleepwalkers, a sweeping history of scientific thought from ancient times
6406 mathematics, for example: Whitehead and Russell’s Principia Mathematica in 1910 was the biggest showoff effort. There were previous attempts by Gottlob Frege and Giuseppe Peano that were a little more modest in their presentation. Ultimately, they were wrong in what they thought they should formalize: They
at MIT, and head of its Program in Science, Technology & Society. He is the author of How the Hippies Saved Physics: Science, Counterculture, and the Quantum Revival and American Physics and the Cold War Bubble (forthcoming). In The Sleepwalkers, a sweeping history of scientific thought from ancient times
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