## Philosophy Lexicon of Arguments | |||

Author | Item | Excerpt | Meta data |
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Peano, G. Books on Amazon |
Induction | A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967 46 Peano, unlike Poincaré, explicitly states the principle of induction as one of his postulates, with the aid of which he defines the integers. He is therefore in a position to prove the consistency of his postulate system. Poincaré agrees with Peano that a group of postulates must be proved as consistent before the system is given a real meaning. He claims, however, that Peano's attempt to prove the contradiction has failed because it is circular. --- 47 Peano actually uses the induction principle in two ways: as a postulate and then as a rule. |
Peano, G. |

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Ed. Martin Schulz, access date 2017-04-28