Frege’s Ancestral and Its Circularities

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

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

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 103,449

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Is Frege's Definition of the Ancestral Adequate?Richard G. Heck - 2016 - Philosophia Mathematica 24 (1):91-116.
A Fregean Solution to the Paradox of Analysis.Dale Jacquette - 1990 - Grazer Philosophische Studien 37 (1):59-73.
A Fregean Solution to the Paradox of Analysis.Dale Jacquette - 1990 - Grazer Philosophische Studien 37 (1):59-73.
Kripke's Fregean Argument Against Materialism.Paul Inman Coppock - 1982 - Dissertation, Princeton University
Formal Arithmetic Before Grundgesetze.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg, Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 497-537.
Primitive Recursion and Isaacson’s Thesis.Oliver Tatton-Brown - 2019 - Thought: A Journal of Philosophy 8 (1):4-15.
Frege on Indexicals: Sense and Context Sensitivity.Richard Charles Devidi - 1996 - Dissertation, The University of Western Ontario (Canada)
The Ancestral Sin is not Pelagian.Parker Haratine - 2023 - Journal of Analytic Theology 11:1-13.
The middle ground-ancestral logic.Liron Cohen & Arnon Avron - 2019 - Synthese 196 (7):2671-2693.

Analytics

Added to PP
2013-03-10

Downloads
137 (#166,382)

6 months
1 (#1,572,794)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

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.

Add more citations

References found in this work

Logical Syntax of Language.Rudolf Carnap - 1937 - London,: Routledge. 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.

View all 7 references / Add more references