Relevant Robinson's arithmetic

Studia Logica 38 (4):407 - 418 (1979)
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.
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DOI 10.1007/BF00370478
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References found in this work BETA
Entailment. Vol. 1.Alan Ross Anderson & Nuel D. Belnap - 1977 - Canadian Journal of Philosophy 7 (2):405-411.

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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.

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