The universal set and diagonalization in Frege structures

Review of Symbolic Logic 4 (2):205-218 (2011)
  Copy   BIBTEX

Abstract

In this paper we summarize some results about sets in Frege structures. The resulting set theory is discussed with respect to its historical and philosophical significance. This includes the treatment of diagonalization in the presence of a universal set

Categories

Keywords

Reprint years

DOI

10.1017/s1755020310000407

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,846

External links

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

Through your library

My notes

Similar books and articles

Truth in applicative theories.Reinhard Kahle - 2001 - Studia Logica 68 (1):103-128.
Diagonalization in double frames.Andrzej Wiśniewski & Jerzy Pogonowski - 2010 - Logica Universalis 4 (1):31-39.
Universes over Frege structures.Reinhard Kahle - 2003 - Annals of Pure and Applied Logic 119 (1-3):191-223.
Diagonalization, the liar para-Dox, and the inconsistency of the formal system presented in the appendix to Frege's gr undgese T ze: Vol ume II.R. O. Y. T. Cook - 2009 - In Hieke Alexander & Leitgeb Hannes (eds.), Reduction, Abstraction, Analysis. Ontos Verlag. pp. 11--273.
Is gold-Putnam diagonalization complete?Cory Juhl - 1995 - Journal of Philosophical Logic 24 (2):117 - 138.
Finite sets and Frege structures.John L. Bell - 1999 - Journal of Symbolic Logic 64 (4):1552-1556.
Some Limitations to the Psychological Orientation in Semantic Theory.Richmond H. Thomason - 2011 - Journal of Philosophical Logic 40 (1):1 - 14.
Universal Structures in Power $aleph_1$.Alan H. Mekler - 1990 - Journal of Symbolic Logic 55 (2):466-477.
Frege on definitions.Sanford Shieh - 2008 - Philosophy Compass 3 (5):992-1012.
On the consistency of the Δ11-CA fragment of Frege's grundgesetze.Fernando Ferreira & Kai F. Wehmeier - 2002 - Journal of Philosophical Logic 31 (4):301-311.
Hans Sluga (ed.), The philosophy of Frege. A four-volume collection of scholarly articles on all aspects of Frege's philosophy, vol.1: General assessments and historical accounts of Frege's philosophy, vol.2: Logic and foundations of mathematics in Frege's philosophy, vol.3: Meaning and ontology in Frege's philosophy, vol.4: Sense and reference in Frege's philosophy. [REVIEW]Jan Wolenński - 1997 - Erkenntnis 46 (3):407-410.
Analytic Statements and Mathematical Truth.G. B. Keene - 1955 - Analysis 16 (4):86 - 90.
The Easy Way to Gödel's Proof and Related Matters.Haim Gaifman - unknown
Spectra of Structures and Relations.Valentina S. Harizanov & Russel G. Miller - 2007 - Journal of Symbolic Logic 72 (1):324 - 348.

Analytics

Added to PP
2013-12-23

Downloads
50 (#317,891)

6 months
16 (#156,807)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Reinhard Kahle
University Tübingen

Citations of this work

Truth, Pretense and the Liar Paradox.Bradley Armour-Garb & James A. Woodbridge - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto (eds.), Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer. pp. 339-354.

Add more citations

References found in this work

Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
Implication and analysis in classical frege structures.Robert C. Flagg & John Myhill - 1987 - Annals of Pure and Applied Logic 34 (1):33-85.

View all 14 references / Add more references