The Mathematical Experience |
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Page 296
... Conjecture : p≤ q ? Counterexample : p = 0 , q = 4 , N = 2o 54 = 625. Is 625 magic ? No : 1625 doesn't divide by 625 . Conjecture : p = q ? Objection : Then N = 2P5P = 10 or 1 , 10 , 100 , O.K. But there are other magic numbers .
... Conjecture : p≤ q ? Counterexample : p = 0 , q = 4 , N = 2o 54 = 625. Is 625 magic ? No : 1625 doesn't divide by 625 . Conjecture : p = q ? Objection : Then N = 2P5P = 10 or 1 , 10 , 100 , O.K. But there are other magic numbers .
Page 347
... conjecture , with a theory taking shape before our eyes , in the heat of debate and disagreement , doubt giving way to certainty and then to renewed doubt . Proofs and Refutations is the name of Lakatos ' master- piece . For fifteen ...
... conjecture , with a theory taking shape before our eyes , in the heat of debate and disagreement , doubt giving way to certainty and then to renewed doubt . Proofs and Refutations is the name of Lakatos ' master- piece . For fifteen ...
Page 365
... conjecture is equivalent to the following conjecture : M ( N ) grows no faster than a constant multiple of No1 / 2 + € as N goes to infinity ( here e is arbitrary but greater than 0 ) . Either conjecture implies the other ; both , of ...
... conjecture is equivalent to the following conjecture : M ( N ) grows no faster than a constant multiple of No1 / 2 + € as N goes to infinity ( here e is arbitrary but greater than 0 ) . Either conjecture implies the other ; both , of ...
Other editions - View all
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience: Study Edition Philip J. Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 1995 |
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