Frege’s Ancestral and Its Circularities

Logica Universalis 6 (3-4):477-483 (2012)
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Abstract

After presenting the ordinary and the Fregean formulations of the ancestral, I raise the question of what is their relationship, the natural candidate being that the Fregean version is an analysans intended to improve upon, and replace, the common notion of ancestral (the analysandum). Next, two types of circles that arise in connection with the Fregean ancestral are presented, and it is claimed that one of the circles makes it impossible to maintain the just described (“replacement”) interpretation. A reference is made to Kerry, who was the first to point out a circularity in Frege’s ancestral. Some of Frege’s remarks are examined in order to tentatively sketch, an answer to the issue of the relationship between ordinary and Fregean ancestral; the latter, if not as an analysans replacing the common notion, can still be seen as a profound enrichment of the former

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Ignacio Angelelli
University of Texas at Austin

Citations of this work

Is Frege's Definition of the Ancestral Adequate?Richard G. Heck - 2016 - Philosophia Mathematica 24 (1):91-116.

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References found in this work

The logical syntax of language.Rudolf Carnap - 1937 - London,: K. Paul, Trench, Trubner & co.. Edited by Amethe Smeaton.
Russell's Notes on Frege for Appendix A of The Principles of Mathematics.Bernard Linsky - 2004 - Russell: The Journal of Bertrand Russell Studies 24 (2):133-172.

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