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RUDE_SHOCKS

                                             September 01, 2020

  "Macaulay, contrasting the certainty of mathematics
  with the uncertainty of philosophy, asks who ever
  heard of a reaction against Taylor’s theorem? If he
  had lived now, he himself might have heard of such a        https://users.drew.edu/~jlenz/br-ml-ch5.html
  reaction, for this is precisely one of the theorems
  which modern investigations have overthrown. Such rude
  shocks to mathematical faith have produced that love
  of formalism which appears, to those who are ignorant
  of its motive, to be mere outrageous pedantry."

        "Mathematics and Metaphysicians" (1901)
        originally published in _International Monthly_
        collected in "Mysticism and Logic and Other Essays" (1917)
        p. 96


Russell might experience a rude shock or two in a modern
math class.  Taylor's Theorem is regarded as well
proven and highly useful:

          https://en.wikipedia.org/wiki/Taylor%27s_theorem




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