Abstract
Any deductive system can be defined as a pair (A, R), A being a set of axioms and R being a set of rules of inference. If A is not empty, then axioms and derived theorems are used in proofs as premises; such a system is called axiomatic, and if, in addition, it is formalized, it is called a logistic system. In contradistinction to the traditional axiomatic approach, originated by Frege, the method of natural deduction [natural inference, method of supposition] is defined as yielding a system of logic in which the set of axioms is empty and the only tools of deduction are inferential rules.
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© 1981 Springer Science+Business Media Dordrecht
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Marciszewski, W. (1981). Natural Deduction. In: Marciszewski, W. (eds) Dictionary of Logic as Applied in the Study of Language. Nijhoff International Philosophy Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1253-8_48
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DOI: https://doi.org/10.1007/978-94-017-1253-8_48
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8257-2
Online ISBN: 978-94-017-1253-8
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