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e to be called intelligent if it could deceive a human into believing that it was human.” Alan Turing “The only real valuable thing is intuition.” Albert Einstein “Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ing
us Diophantine problem we can all recite. “The square on the hypotenuse is equal to the sum of the squares of the other two sides” The equation for a Pythagorean triangle. The theorem applies to right-angled triangles and there are sixteen whole number solutions, known as Pythagorean triples; three, four, fiv
HOUSE_OVERSIGHT_023901 HOUSE_OVERSIGHT_023902 CHAPTER 11 Restructuring the University It is a miracle that curiosity survives formal education. —Albert Einstein When I moved from Stanford to Yale, it was entirely because of the efforts of Bob Abelson, a psychology professor who became my good friend and wond
e no idea how to make people learn all the stuff that is part of that subject-based system without threatening them. No one really wants to learn the Pythagorean theorem or information about the Taft Hartley Act. Let scholars know about these things; the average person just doesn’t need to know this stuff. Bu
magnetism and plugged in the numbers, he derived: Speed of electromagnetic waves Fac 311,000,000 meters per second A famous story claims that when Albert Einstein finished his Gen- eral Theory of Relativity and compared its predictions for the orbit of Mercury to the measured numbers, he had heart palpitations
o the wall and a line perpendicular to the wall always combine together to give the same length, as shown below: shadow N This yields the famous Pythagorean theorem, L a = + y2, which high school students have been subjected to for as long as high schools have taught geometry. In three dimensions, this
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