2010
DOI: 10.1007/s11225-010-9259-1
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An Alternative Propositional Calculus for Application to Empirical Sciences

Abstract: The purpose of the paper is to show that by cleaning Classical Logic (CL) from redundancies (irrelevances) and uninformative complexities in the consequence class and from too strong assumptions (of CL) one can avoid most of the paradoxes coming up when CL is applied to empirical sciences including physics. This kind of cleaning of CL has been done successfully by distinguishing two types of theorems of CL by two criteria. One criterion (RC) forbids such theorems in which parts of the consequent (conclusion) c… Show more

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Cited by 3 publications
(2 citation statements)
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“…In a number of papers [8][9][10], Weingartner introduces the matrix-based logics RM Q − and RM Q * . He presents only their semantics though, and leaves the question of its axiomatizability open (see [9, p. 241] for details).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In a number of papers [8][9][10], Weingartner introduces the matrix-based logics RM Q − and RM Q * . He presents only their semantics though, and leaves the question of its axiomatizability open (see [9, p. 241] for details).…”
Section: Introductionmentioning
confidence: 99%
“…He claims that by cleaning Classical Logic (CL) from redundancies (irrelevances) and uninformative complexities in the consequence class and from too strong assumptions (of CL) one can avoid most of the paradoxes coming up when CL is applied to empirical sciences including physics. [9, p. 233] In [9,10] and [8] such a concept of relevant consequence is defined and studied in more detail. Weingartner further claims that his logic approximates this notion of relevant consequence.…”
Section: Introductionmentioning
confidence: 99%