Download Initiatives in Logic by Wolfgang Lenzen (auth.), Jan Srzednicki (eds.) PDF
By Wolfgang Lenzen (auth.), Jan Srzednicki (eds.)
` .., the reviewed assortment will be prompt as a tremendous contribution to the background in addition to an outline of a few contemporary logical investigations. '
Studia Logica 12 (1) 1990
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262; the bar of course does not mean a second negation, but only serves Leibniz as a bracket. 10 Compare M. 198; also cf. 484, where Leibniz is blamed for the following: •... having analyzed 'some A's are B's' as 'AB exists' [hel does not go on to interpret this as 'AB contains existence' which would be symbolized as 'AB '" AB (Existence)'. 489 ff) do not refute the system of Leibnitian logic but only the miscarried reconstruction of it by Castaneda. That 'Ens' should not be viewed as a conceptual-constant has first been noticed by L.
I. Lewis in this century for a second time. If Lewis had viewed the Leibnitian logic with somewhat less scepticism, then perhaps he would have noticed that the question he left open: which calculus of strict implication corresponds to the Boolean Algebra? - has been answered by Leibniz in an interesting and rather obvious way. 20 Cf. lV, §3; also Kauppi, "Zur Analyse der hypothetischen Aussage bei Leibniz·, in A. Heinekamp 6: F. sionale Logik bei Leibniz und in der Gegenwart, Wiesbaden 1979, 1-9; H.
Let t(A" ... ,A,,) be a term. Then: (a) 1-, UA" ... ,A,,) ~ 1 ~ t*(A,~1, ... ,A,,~1) (b) 1-, UA" ... ,A,,) = 0 ~ t*(A,=O, ... ,A,,=O), where t*(a" ... ,an ) (resp. t*(a" ... ,an » denotes the modal rator that arises from the term t by indexing with the (resp. upper) asterisk each symbol of Boolean operation on t. opelower In the above-mentioned fragment of GI Leibniz introduces a very interesting method of notation of formulas of the calculus of concepts. In this notation the meaning of an expression depends on the context in which it occurs.