Socratic proofs

Journal of Philosophical Logic 33 (3):299-326 (2004)

Abstract
Our aim is to express in exact terms the old idea of solving problems by pure questioning. We consider the problem of derivability: "Is A derivable from Δ by classical propositional logic?". We develop a calculus of questions E*; a proof (called a Socratic proof) is a sequence of questions ending with a question whose affirmative answer is, in a sense, evident. The calculus is sound and complete with respect to classical propositional logic. A Socratic proof in E* can be transformed into a Gentzen-style proof in some sequent calculi. Next we develop a calculus of questions E**; Socratic proofs in E** can be transformed into analytic tableaux. We show that Socratic proofs can be grounded in Inferential Erotetic Logic. After a slight modification, the analyzed systems can also be viewed as hypersequent calculi.
Keywords Philosophy
Categories (categorize this paper)
DOI 10.1023/B:LOGI.0000031374.60945.6e
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 40,066
Through your library

References found in this work BETA

First-Order Logic.Raymond M. Smullyan - 1968 - New York [Etc.]Springer-Verlag.
Structural Proof Theory.Sara Negri, Jan von Plato & Aarne Ranta - 2001 - Cambridge University Press.
Multiple-Conclusion Logic.D. J. Shoesmith - 1978 - Cambridge University Press.

View all 13 references / Add more references

Citations of this work BETA

Socratic Proofs for Quantifiers★.Andrzej Wiśniewski & Vasilyi Shangin - 2006 - Journal of Philosophical Logic 35 (2):147-178.

View all 12 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
59 ( #128,321 of 2,236,361 )

Recent downloads (6 months)
4 ( #465,157 of 2,236,361 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature