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|Berka I 154
Definition Strict Implication/CI. I. Lewis/Berka: (1918): C'pq = NMKpNq - "It is not the case that p is true and q is false" - paradox of material implication: the for it responsible statement "p is true and q is false" is not free of self-contradiction - Implication: if it should have the meaning "q derivable from p", the above statement is obviously a contradiction.
Paradox of strict implication: 1. An impossible statement implies any statement - 2. A necessary is implied by each statement. - It also follows that all impossibilities and all necessities are strictly equivalent. - Solution: enhanced propositional calculus.
_____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Die Identität von Körper und Geist Frankfurt 1989
Konventionen Berlin 1975
Philosophical Papers Bd I New York Oxford 1983
Philosophical Papers Bd II New York Oxford 1986
Cl. I. Lewis
Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991
K. Berka/L. Kreiser
Logik Texte Berlin 1983