Alan Ross Anderson

(1925-04-11)April 11, 1925[1]

1973

A Finitary System of Logic  (1955)

Not-A entails v,

Anderson advocated the view that sentences of the form "It ought to be (the case) that A" should be interpreted logically as:


where v means something like a norm has been violated. He developed systems of deontic relevance logic containing a special constant v (notation varies) for this purpose. Such systems have sometimes been characterized as "reductions" of deontic logic to alethic modal logic. This is misleading at best, however, since alethic modal logics generally do not contain anything like Anderson's special v constant.

Philosophy of logic[edit]

Anderson was known for being a Platonist (or realist, or monist) about logic; he believed in "The One True Logic," and he believed that it was a relevance logic.

Anderson, A. R. 1967. Some nasty problems in the formal logic of ethics. Nous I(4): 345-60.

Anderson, A. R. and Belnap, N. D. 1975. Entailment: The Logic of Relevance and Necessity. Vol. 1. Princeton: .

Princeton University Press

Anderson, A. R., Belnap, N. D., and Dunn, J. M. 1992. Entailment: The Logic of Relevance and Necessity. Vol. 2. Princeton: Princeton University Press.  0-691-07339-2

ISBN

Mares, E. D. 1992. Andersonian deontic logic. Theoria 58: 3-20.