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nydus/The Principles of SciencePublic
Page 113 of 631
Table of Contents

CHAPTER VII. INDUCTION.

kingly prerogative of the philosopher to search them out by industry and sagacity.

Inductive Problems for Solution by the Reader.

In the first edition (vol. ii. p. 370) I gave a logical problem involving six terms, and requested readers to discover the laws governing the combinations given. I received satisfactory replies from readers both in the United States and in England. I formed the combinations deductively from four laws of correction, but my correspondents found that three simpler laws, equivalent to the four more complex ones, were the best answer; these laws are as follows: a = ac, b = cd, d = Ef.

In case other readers should like to test their skill in the inductive or inverse problem, I give below several series of combinations forming problems of graduated difficulty.

  • A B c
  • A b C
  • a B C
  • A B C
  • A b C
  • a B C
  • a B c
  • A B C
  • A b C
  • a B C
  • a B c
  • a b c
  • A B C D
  • A b c D
  • a B c f
  • a b C f
  • A B C D
  • A B C f
  • A B c f
  • A b C D
  • A b c D
  • a B C D
  • a B c D
  • a B c f
  • a b C f
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