Arithmetic with Satisfaction

Notre Dame Journal of Formal Logic 36 (2):299-303 (1995)
  Copy   BIBTEX

Abstract

A language in which we can express arithmetic and which contains its own satisfaction predicate (in the style of Kripke's theory of truth) can be formulated using just two nonlogical primitives: (the successor function) and Sat (a satisfaction predicate)

Similar books and articles

Classical arithmetic as part of intuitionistic arithmetic.Michael Potter - 1998 - Grazer Philosophische Studien 55 (1):127-41.
In defense of epistemic arithmetic.Leon Horsten - 1998 - Synthese 116 (1):1-25.
Spinoza's theories of value.Andrew Youpa - 2010 - British Journal for the History of Philosophy 18 (2):209 – 229.
Nonstandard arithmetic and reverse mathematics.H. Jerome Keisler - 2006 - Bulletin of Symbolic Logic 12 (1):100-125.
The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.

Analytics

Added to PP
2010-08-24

Downloads
302 (#61,170)

6 months
70 (#55,308)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

James Cain
Oklahoma State University

Citations of this work

No citations found.

Add more citations

References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Semantics and the liar paradox.Albert Visser - 1989 - Handbook of Philosophical Logic 4 (1):617--706.

Add more references