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Anti-exceptionalism about logic

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Read_2019_Anti_exceptionalism_AJL_298.pdf (312.2Kb)
Date
18/11/2019
Author
Read, Stephen Louis
Keywords
a posteriori
Analytic
Necessary
Aristotle
Lakatos
Williamson
B Philosophy (General)
BC Logic
T-NDAS
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Abstract
Anti-exceptionalism about logic is the doctrine that logic does not require its own epistemology, for its methods are continuous with those of science. Although most recently urged by Williamson, the idea goes back at least to Lakatos, who wanted to adapt Popper's falsificationism and extend it not only to mathematics but to logic as well. But one needs to be careful here to distinguish the empirical from the a posteriori. Lakatos coined the term 'quasi-empirical' for the counterinstances to putative mathematical and logical theses. Mathematics and logic may both be a posteriori, but it does not follow that they are empirical. Indeed, as Williamson has demonstrated, what counts as empirical knowledge, and the role of experience in acquiring knowledge, are both unclear. Moreover, knowledge, even of necessary truths, is fallible. Nonetheless, logical consequence holds in virtue of the meaning of the logical terms, just asconsequence in general holds in virtue of the meanings of the concepts involved; and so logic is both analytic and necessary. In this respect, it is exceptional. But its methodology and its epistemology are the same as those of mathematics and science in being fallibilist, and counterexamples to seemingly analytic truths are as likely as those in any scientific endeavour. What is needed is a new account of the evidential basis of knowledge, one which is, perhaps surprisingly, found in Aristotle.
Citation
Read , S L 2019 , ' Anti-exceptionalism about logic ' , The Australasian Journal of Logic , vol. 16 , no. 7 , 6 , pp. 298-318 . https://doi.org/10.26686/ajl.v16i7.5926
Publication
The Australasian Journal of Logic
Status
Peer reviewed
DOI
https://doi.org/10.26686/ajl.v16i7.5926
ISSN
1448-5052
Type
Journal article
Rights
Copyright © 2019 the Author. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the final published version of the work, which was originally published at https://doi.org/10.26686/ajl.v16i7.5926
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/18946

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