Demonstrative and non-demonstrative reasoning by analogy

Details Demonstrative and non-demonstrative reasoning by analogy Demonstrative and non-demonstrative reasoning by analogy

2008-10-28

arxiv.org/abs/0810.5078v1

in: "Demonstrative and non-demonstrative reasoning in mathematics and natural science", C. Cellucci - P. Pecere (eds), Edizion

Mathematics

History and Overview

24 pages, Conference "Demonstrative and non-demonstrative reasoning in mathematics and natural science", Rome, 15-16 June 2005

Scientific paper

The paper analizes a set of issues related to analogy and analogical reasoning, namely: 1) The problem of analogy and its duplicity; 2) The role of analogy in demonstrative reasoning; 3) The role of analogy in non-demonstrative reasoning; 4) The limits of analogy; 5) The convergence, particularly in multiple analogical reasoning, of these two apparently distinct aspects and its methodological and philosophical consequences. The paper, using example from number theory, argues for an heuristc conception of analogy.

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