Anacletus, I. Ogbunkwu (2025) APPRAISAL OF LOGICISM IN GOTTLOB FREGE. Pope John Paul II Journal of Philosophy, 5 (1). pp. 53-76.
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Abstract
This paper gives a critical evaluation of the logicist programme of Gottlob Frege where Frege insists that the truths of arithmetic can be reduced to, and derive out of, the laws of pure logic. This paper, via the exposition and critical analysis of the literary texts, recreates the philosophical inspirations, formal structure, and eventual destiny of the logicism of Frege as it was manifested in his three main publications: Begriffsschrift of 1879 (Frege’s Concept Script), Die Grundlagen der arithmetik of 1884 (Foundation of Arithmetic) and Grundgestze der arithmetik of 1903 (Basic Laws of Arithmetic).This paper includes an analysis of how Russell paradox was devastating to the Frege system, it also evaluates the neo-Fregean revival that followed, involving Crispin Wright and Bob Hale, and also reviews the modern importance of the logicist ambitions of Frege due to the contributions of George Boolos, Richard Heck, John Burgess, and Øystein Linnebo. This paper claims, was the failure of the original logicist programme of Frege, not its strict form, which continues to offer some of the most fruitful and far-reaching conceptualizations of the nature of number, the analytic-syntactic distinction, the connexions between the field of mathemetics and the world of logic in philosophy.
| Item Type: | Article |
|---|---|
| Subjects: | B Philosophy. Psychology. Religion > B Philosophy (General) |
| Divisions: | Faculty of Arts > Faculty of Law > Faculty of Management and Social Sciences |
| Depositing User: | mrs chioma hannah |
| Date Deposited: | 11 Jun 2026 07:28 |
| Last Modified: | 11 Jun 2026 07:28 |
| URI: | http://eprints.gouni.edu.ng/id/eprint/5784 |
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