Logica Universalis

, Volume 6, Issue 3–4, pp 477–483 | Cite as

Frege’s Ancestral and Its Circularities

Article

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.

Mathematics Subject Classification

03A05 

Keywords

Ancestral analysans analysandum Frege Kerry 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.Philosophy DepartmentThe University of Texas at AustinAustinUSA

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