Another Paradox In Naive Set-Theory

Studia Logica 85 (1):33-39 (2007)
  Copy   BIBTEX

Abstract

Reasonning in naive set theory (with unlimited comprehension), we derive a paradox (a formal contradiction) which can be seen as a variant of the Burali-Forti paradox.

Categories

Keywords

Reprint years

DOI

10.1007/s11225-007-9025-1

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

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

Curry's paradox.Jc Beall - manuscript
The Importance of Developing a Foundation for Naive Category Theory.Marcoen J. T. F. Cabbolet - 2015 - Thought: A Journal of Philosophy 4 (4):237-242.
New Grounds for Naive Truth Theory.Stephen Yablo - 2004 - In J. C. Beall (ed.), Liars and Heaps: New Essays on Paradox. Clarendon Press. pp. 312-330.
Naive Structure, Contraction and Paradox.Lionel Shapiro - 2015 - Topoi 34 (1):75-87.
Disarming a Paradox of Validity.Hartry Field - 2017 - Notre Dame Journal of Formal Logic 58 (1):1-19.
Higher-Order Sorites Paradox.Elia Zardini - 2013 - Journal of Philosophical Logic 42 (1):25-48.
A model of tolerance.Elia Zardini - 2008 - Studia Logica 90 (3):337-368.
Not every object of thought has being: A paradox in naive predication theory.Romane Clark - 1978 - Noûs 12 (2):181-188.
The Simple Consistency of Naive Set Theory using Metavaluations.Ross T. Brady - 2014 - Journal of Philosophical Logic 43 (2-3):261-281.
Non-deterministic Conditionals and Transparent Truth.Federico Pailos & Lucas Rosenblatt - 2015 - Studia Logica 103 (3):579-598.
On Russell's vulnerability to Russell's paradox.James Levine - 2001 - History and Philosophy of Logic 22 (4):207-231.
Paradoxes of Logical Equivalence and Identity.Andrew Bacon - 2013 - Topoi (1):1-10.
The conflict between naive and sophisticated choice as a form of the?liberal paradox?Gary Anthony Gigliotti - 1988 - Theory and Decision 24 (1):35-42.
The Two Envelope 'Paradox'.Frank Jackson, Peter Menzies & Graham Oppy - 1994 - Analysis 54 (1):43 - 45.
Naïve set theory is innocent!A. Weir - 1998 - Mind 107 (428):763-798.

Analytics

Added to PP
2009-01-28

Downloads
85 (#195,050)

6 months
22 (#119,049)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

Begriffsschrift, a Formula Language, Modeled upon that of Arithmetic, for Pure Thought [1879].Gottlob Frege - 1879 - From Frege to Gödel: A Source Book in Mathematical Logic 1931:1--82.
Letter to Dedekind.George Cantor - 1899 - In J. Van Heijenoort (ed.), From Frege to Gödel: A Source Book in Mathematical Logic, 1879--1931. Harvard University Press. pp. 113--117.

Add more references