Philosophy Dictionary of ArgumentsHome
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| Implication: Implication in logic is a relationship between two statements, where the second statement follows from the first statement. It is symbolized by the arrow symbol (→). See also Konditional, Inference, Conclusion, Logic._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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H. Wessel on Implication - Dictionary of Arguments
I 124 Subjunction/Wessel .: ">": statement-forming operator, refers to states of affairs. >Operators, >States of affairs. Inference (= implication)/Wessel: 2-digit predicate, relates to linguistic structures. ((s) in "p>q" we do not conclude anything, but take note that a claim exists. Consequence relationship/Wessel: = implication (no operator but predicate). >paradoxes because content can be contradictory, even if the form is valid. Conditional: (E.g. scientific statement) would be false for the same reason (because the content does not form a connection). I 175 Formal implication/Russell/Principia Mathematica(1)/Wessel: "P (x)> x Q(x)": "for all x applies" corresponding "> a1a2a3..an" - binary quantifiers. >Quantifiers, >Quantification. I 297 Conditional/Wessel: subjunction follows from conditional statement - ((s) but not vice versa.) >Conditional. 1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Wessel I H. Wessel Logik Berlin 1999 |
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> Counter arguments against Wessel
> Counter arguments in relation to Implication
Ed. Martin Schulz, access date 2024-04-27