Relevant Robinson's arithmetic

Studia Logica 38 (4):407 - 418 (1979)
Abstract
In this paper two different formulations of Robinson's arithmetic based on relevant logic are examined. The formulation based on the natural numbers (including zero) is shown to collapse into classical Robinson's arithmetic, whereas the one based on the positive integers (excluding zero) is shown not to similarly collapse. Relations of these two formulations to R. K. Meyer's system R# of relevant Peano arithmetic are examined, and some remarks are made about the role of constant functions (e.g., multiplication by zero) in relevant arithmetic.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00370478
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,157
Through your library
References found in this work BETA
Entailment. Vol. 1.Alan Ross Anderson & Nuel D. Belnap - 1977 - Canadian Journal of Philosophy 7 (2):405-411.

View all 6 references / Add more references

Citations of this work BETA
Relevant Predication 1: The Formal Theory. [REVIEW]J. Michael Dunn - 1987 - Journal of Philosophical Logic 16 (4):347 - 381.
Relevant Robinson's Arithmetic.J. Michael Dunn - 1979 - Studia Logica 38 (4):407 - 418.
Conditionals, Quantification, and Strong Mathematical Induction.Daniel H. Cohen - 1991 - Journal of Philosophical Logic 20 (3):315 - 326.

Add more citations

Similar books and articles
In Defense of Epistemic Arithmetic.Leon Horsten - 1998 - Synthese 116 (1):1-25.
Quantum Mathematics.J. Michael Dunn - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:512 - 531.
⊃E is Admissible in “True” Relevant Arithmetic.Robert K. Meyer - 1998 - Journal of Philosophical Logic 27 (4):327 - 351.
ŠƒE is Admissible in €œTrue” Relevant Arithmetic.Robert K. Meyer - 1998 - Journal of Philosophical Logic 27 (4):327-351.
Whither Relevant Arithmetic?Harvey Friedman & Robert K. Meyer - 1992 - Journal of Symbolic Logic 57 (3):824-831.

Monthly downloads

Added to index

2009-01-28

Total downloads

20 ( #248,526 of 2,171,910 )

Recent downloads (6 months)

1 ( #326,615 of 2,171,910 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums