Regressive Analysis

History of Philosophy & Logical Analysis 5 (2002)
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Abstract

The paper deals with the regressive analytical method understood as "the way backward". In the first section the paper gives a historical survey concentrating on three paradigmatic examples: Pappus's definition of analysis and synthesis, the definition of method to be found in the so_called "Logic of Port Royal", and David Hilbert's definition of the axiomatic method as a procedure for setting up axiomatic systems. In the second section the scepticism of traditional philosophy of science concerning the regressive method is reflected

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Axioms in Mathematical Practice.Dirk Schlimm - 2013 - Philosophia Mathematica 21 (1):37-92.
Is Mathematics Problem Solving or Theorem Proving?Carlo Cellucci - 2017 - Foundations of Science 22 (1):183-199.

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