The concept of negation

Don Faust



Using Evidence Logic (EL), a logic which is conceptually to Classical Logic and which is equipped with both gradational confirmatory predications and gradational refutatory predications, further investigation of some of the persistent problematic aspects of negation is facilitated. This perspective helps to illuminate distinction of “absence of evidence”, and may help further understanding of the semantics of negation.

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Aristotle, Prior Analytics, The Loeb Classical Library: Harvard University Press, 1967.

Boole, G, An Investigation of the Laws of Thought, Dover Publications.

Carnap, R., Logical Foundations of Probability, University of Chicago Press, 1950.

Dubois, D., and H. Prade, “An Introduction to possibilistic and fuzzy logics”, Non-standard Logics for Automated Reasoning, Academic Press, 1988, 287–326.

Faust, D., “The Boolean algebra of formulas of first-order logic”, Annals of Mathematical Logic 23 (1982), 27–53 (MR84f:03007).

Faust, D.,“The representation and processing of uncertain information: status report and prospectus for information technology applications”, Procedings of the International Conference on Information Technology (ICIT 1990 – Malaysia), E275–E295.

Faust, D., “Observations on the construction of a foundation for the handling of uncertainty’, Proceedings of the Asian Mathematical Conference 1990 (Singapore: World Scientific, 1992), 140–143.

Faust, D., “The concept of evidence” (1993), submitted (preprint available from the author).

Faust, D., “The concept of evidence” (abstract), The Journal of Symbolic Logic 59 (1994), 347–348.

Faust, D., “Evidence and negation” (abstract), The Bulletin of Symbolic Logic 3 (1997), 364.

Matilal, B. K., The Navya-Nyaya Doctrine of Negation, Harvard University Press, 1968.

Russell, B., “Vagueness”, Australasian Journal of Philosophy 1 (1923), 84–92.

Sharma, D., The Differentiation Theory of Meaning in Indian Logic, Mouton, 1969.

Tarski, A., Logic, Semantics, and Metamathematics: Papers from 1923 to 1938, translated by J. H. Woodger, Oxford University Press, 1956.

Financed by MNiSW on the basis of agreement no. 706/P-DUN/2018 (dated 10/05/18). Project 1: “Preparation of articles in English for eight editions of the journal Logic and Logical Philosophy over the period 2018–19; Vol. 27, No. 1–4 (2018), Vol. 28, No. 1–4 (2019)”; amount from the DUN grant: 64800 zł. Project 4: “Digitalisation of eight editions of the journal Logic and Logical Philosophy over the period 2018-19; Vol. 27, No. 1–4 (2018), Vol. 28, No. 1–4 (2019)”; amount from the DUN grant: 18600 zł.

ISSN: 1425-3305 (print version)
ISSN: 2300-9802 (electronic version)

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