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Contradictions have not only a negative role as a limiter of logical reasoning, they are a necessary element of the cognitive process at paradigmatic and philosophical levels. Reverse logic offers the mechanism of correct including of contradictory proposals in the structure of reasoning at these levels. At the base of the reverse logic lies the principle of demarcation between the procedure of obtaining the new propositions and the mechanism of transferring truth between propositions.(original abstract)
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- St.Petersburg, Russia
Bibliografia
- 1. Hilbert, D., Bernays, P., Grundlagen der Mathematik I - Foundations of Mathematics, London: College Publications, 1934/68.
- 2. Gódel, K., On formally undecidable propositions of the Principia Mathematica and related systems, I. Trans. by Elliot Mendelson. In The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions, Martin Davis, ed., Raven Press, Hewlett, New York, 1965.
- 3. Wittgenstein L., Wittgenstein's lectures on the foundations of mathematics. Cambridge, 1939: From the notes of ... Ed. by C. Diamond. Hassocks, 1976.
- 4. da Costa N.C.A., On the theory of inconsisten formal system. Notre Dame Journal of Formal Logic, 1974, vol. 15.
- 5. Batens D., Paraconsistent extensional prepositional logics. Logique et Analyse, 1980, vol. 23.
- 6. G. W. F. Hegel, Science of Logic, trans. A. V. Miller, London, George Allen & Unwin, 1969.
- 7. Peirce C.S., The essential Peirce. Vol. 2. Bloomington, Ill., 1998
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Bibliografia
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