Induction and Probability

Humanities Bulletin 7 (2):23-38 (2025)
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Abstract

The present research aims to examine the different accounts of induction given by Aristotle, Leibniz, Hume, Carnap and De Finetti, trying to support that probability calculus offers a sufficient grounding of inductive logic. The term induction had been contrasted to deduction, by Aristotle. The Neoplatonic philosopher Alcinous suggested that dialectic firstly investigates the substances and then the accidents. There are five kinds of dialectic reasoning: division, definition, analysis, induction and syllogistic. The first three concern with substances, the last two with accidents. Although Leibniz regarded probability theory as a basis of inductive logic, Hume’s skepticism was seminal for the reappraisal of the role of induction in modern philosophy. Enhancing Hume’s criticism, Popper and Wittgenstein completely denied that scientists use induction. Hans Reichenbach, however, attempted to build a theory of justification for the use of induction, based on a factual basis of other successful predictive methods that make induction feasible (Earman & Salmon 1999). Moreover, Buchdall (1969) stressed that we must distinguish the inductive process of the scientist from the inductive conclusion, which comes after the completion of observation and experimentation.

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Basil Evangelidis
Fernuniversität Hagen

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An enquiry concerning human understanding.David Hume - 2007 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya, Late modern philosophy: essential readings with commentary. Oxford: Wiley-Blackwell.
Leibniz and the Problem of Induction.Jonathan Westphal - 1989 - Studia Leibnitiana 21:174-187.

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