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Is Incompatibilism Compatible with Fregeanism?

Kurbis, N; (2018) Is Incompatibilism Compatible with Fregeanism? European Journal of Analytic Philosophy , 14 (2) pp. 27-46. 10.31820/ejap.14.2.3. Green open access

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Abstract

This paper considers whether incompatibilism, the view that negation is to be explained in terms of a primitive notion of incompatibility, and Fregeanism, the view that arithmetical truths are analytic according to Frege’s definition of that term in §3 of Foundations of Arithmetic, can be held together. Both views are attractive in their own right, in particular for a certain empiricist mind-set. They promise to account for two philosophical puzzling phenomena: the problem of negative truth and the problem of epistemic access to numbers. For an incompatibilist, proofs of numerical non-identities must appeal to primitive incompatibilities. I argue that no analytic primitive incompatibilities are forthcoming. Hence incompatibilists cannot be Fregeans.

Type: Article
Title: Is Incompatibilism Compatible with Fregeanism?
Open access status: An open access version is available from UCL Discovery
DOI: 10.31820/ejap.14.2.3
Publisher version: https://doi.org/10.31820/ejap
Language: English
Additional information: Copyright © The Author 2018. OpenAIRE (Open Access Infrastructure for Research in Europe) is H2020 project of the European Commission (EC) to promote the implementation of open access to scientific publications and research data and build a European scientific research infrastructure for the storage, retrieval and re-use of research results, thus improving visibility results of the research projects of the European Commission.
Keywords: analyticity; arithmetic; falsity; incompatibility; negation
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy
URI: https://discovery.ucl.ac.uk/id/eprint/10071970
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