Article ID: CBB001214121

Frege's Ancestral and Its Circularities (2012)

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Angelelli, Ignacio A. (Author)


Logica Universalis
Volume: 6
Pages: 477--483
Publication date: 2012
Language: English


Publication Date: 2012
Edition Details: Part of a special issue, “Perspectives on the History and Philosophy of Modern Logic: Van Heijenoort Centenary”

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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Authors & Contributors
Macbeth, Danielle
Alonso, Enrique
Dathe, Uwe
Eder, Günther
Gordin, Michael D.
Korhonen, Anssi
Journals
History and Philosophy of Logic
Synthese
Logica Universalis
Revue d'Histoire des Sciences
British Journal for the History of Mathematics
Publishers
Princeton University
Cambridge University Press
Harvard University Press
Open Court
Vittorio Klostermann
Concepts
Logic
Mathematics
Philosophy of mathematics
Philosophy
Mathematicians
Commentaries
People
Frege, Gottlob
Russell, Bertrand Arthur William
Peirce, Charles Sanders
Wittgenstein, Ludwig
Boole, George
Carnap, Rudolf
Time Periods
19th century
20th century, early
20th century
Places
Germany
Europe
North America
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