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I would like to read about the epistemology of logic, preferably at a undergraduate level (not being a philosopher myself). What (text)book should I read for a good introduction on these topics?

The background of my question is that I tend to be quite skeptical about what we can know, but I haven't found ways to poke holes in logic itself. However I do know there exist things like logical pluralism, though I do not know exactly what it means (yet).

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There is work on how we can (can we ?) justify deduction. Justification is in this context an epistemological notion : on what grounds can we reasonably believe that deductive inference is valid ? Michael Dummett's 'The Justification of Deduction' in Truth and Other Enigmas addresses these matters.

As for logical pluralism, the following is not entirely easy reading but it does convey the basic thrust of logical pluralism :

"Crudely put, a pluralist maintains that there is more than one relation of logical consequence," say Beall and Restall (p.25). The less crude statements of their position involve a general principle, GTT (short for Generalised Tarski Thesis) which they advocate as providing the correct account of logical consequence.

GTT: An argument is VALIDx if and only if, in every CASEx in which the premises are true, so is the conclusion.

Different logical consequence relations will result from employing different notions of a case or a different understanding of "every case"; and by spelling out the notion of a case, you produce an instance of GTT. Beall and Restall then state that "Logical pluralism is the claim that at least two different instances of GTT provide admissible precisifications of logical consequence" (p. 29). There are additional conditions on admissible precisifications corresponding to crucial features of the notion of logical consequence, namely the requirements that the relations display features of necessity, formality and normativity. Beall and Restall argue that various different logical consequence relations each meet all the criteria and are all true logical consequence relations. In particular classical logic, intuitionistic logic and relevance logic are all defended as providing admissible instances of GTT, with cases captured by Tarskian models, stages of constructions and situations (including incomplete and complete ones), respectively. (Rosanna Keefe, 'What logical pluralism cannot be', Synthese, Vol. 191, No. 7 (May 2014), pp. 1375-1390 : 1376; Beall, J. C., & Restall. G. (2006). Logical pluralism. Oxford: Clarendon Press.

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Reading

Dummett, M. Truth and Other Enigmas, ISBN 10: 0715616501 / ISBN 13: 9780715616505 Published by Gerald Duckworth & Co Ltd, 1998.

Beall, J. C., & Restall, G. (2000). Logical pluralism. Australasian Journal of Philosophy, 78, 475-93

Beall, J. C., & Restall, G. (2001). Defending logical pluralism. In Logical Consequence: Rival Approaches. In J. Woods, & B. Brown (Eds.), Proceedings of the 1999 conference of the society of exact philosophy (pp. 1-22). Stanmore: Hermes.

Beall, J. C., & Restall. G. (2006). Logical Pluralism. Published by Oxford University Press, United Kingdom (2006) ISBN 10: 0199288410 ISBN 13: 9780199288410

Note.

'VALIDx' and 'CASEx' : in their text B & G type 'valid' and 'case' in lower case and subscript 'x'. I am unable to insert subscripts here.

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