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The Seeming Interdependence Between the Concepts of Valid Inference and Proof
Stockholm University, Faculty of Humanities, Department of Philosophy.
Number of Authors: 12019 (English)In: Topoi (Dordrecht), ISSN 0167-7411, E-ISSN 1572-8749, Vol. 38, no 3, p. 493-503Article in journal (Refereed) Published
Abstract [en]

We may try to explain proofs as chains of valid inference, but the concept of validity needed in such an explanation cannot be the traditional one. For an inference to be legitimate in a proof it must have sufficient epistemic power, so that the proof really justifies its final conclusion. However, the epistemic concepts used to account for this power are in their turn usually explained in terms of the concept of proof. To get out of this circle we may consider an idea within intuitionism about what it is to justify the assertion of a proposition. It depends on Heyting's view of the meaning of a proposition, but does not presuppose the concept of inference or of proof as chains of inferences. I discuss this idea and what is required in order to use it for an adequate notion of valid inference.

Place, publisher, year, edition, pages
2019. Vol. 38, no 3, p. 493-503
Keywords [en]
Valid inference, Proof, Epistemic ground, Intuitionism
National Category
Philosophy, Ethics and Religion
Identifiers
URN: urn:nbn:se:su:diva-173091DOI: 10.1007/s11245-017-9506-4ISI: 000481853300002OAI: oai:DiVA.org:su-173091DiVA, id: diva2:1358433
Available from: 2019-10-07 Created: 2019-10-07 Last updated: 2019-10-07Bibliographically approved

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