|Modal logic: the modal logic is an extension of classical logic to systems in which possibility and necessity can also be expressed. Different approaches use operators to express "necessary" and "possible", which, depending on the placement within formulas, can let claims of different strengths win. E.g. there is an object which necessarily has the property F/it is necessary that there is an object with the property F. The introduction of possible worlds makes quantification possible for expressing possibility (There is at least one world in which ...) and necessity (For all worlds is valid ...). See also operators, quantifier, completion, range, possible worlds._____________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. |
|Berka I 161
Modal logic/Undecidability: Kripke (1962) (S.A. Kripke, The Undecidability of Monadic Modal Quantification in: Theory in Zeitschrift für mathematische Logik und Grundlagen der Mathematik, Vol. 8, pp. 113-116, 1962) proved the undecidability of modal bivalent prediacte calculus (functions with one argument)._____________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. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Naming and Necessity, Dordrecht/Boston 1972
Name und Notwendigkeit Frankfurt 1981
Saul A. Kripke
"Speaker’s Reference and Semantic Reference", in: Midwest Studies in Philosophy 2 (1977) 255-276
Eigennamen, Ursula Wolf, Frankfurt/M. 1993
Saul A. Kripke
Is there a problem with substitutional quantification?
Truth and Meaning, G. Evans/J McDowell, Oxford 1976
S. A. Kripke
Outline of a Theory of Truth (1975)
Recent Essays on Truth and the Liar Paradox, R. L. Martin (Hg), Oxford/NY 1984
Logik Texte Berlin 1983