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Turing wore many hats during his lifetime. But his fundamental contribution to the development of computing as a mathematical discipline is possibly where his significant scientific impact persists to date.
The calculus made modern science possible, but it was the algorithm that made possible the modern world.
Mathematician Martin Davis, best known for his work on Hilbert's tenth problem, died on Jan. 1.
Stephen Wolfram on mathematical notation's development from antiquity through Leibniz, Euler, Peano, & modern times, & how it is like human language