Philosophy Lexicon of Arguments

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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.

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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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Books on Amazon
Berka I 161
Modal logic/Undecidability: Kripke (1962) (S.A. Kripke, The Undecidability of Monadic Modal Quantification Theory in Zeitschrift für mathematische Logik und Grundlagen der Mathematik, Vol. 8, pp. 113-116, 1962) proved the undecidability of modal digit prediacte calculus - (functions with one argument).


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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.

K I
S.A. Kripke
Name und Notwendigkeit Frankfurt 1981

K III
S. A. Kripke
Outline of a Theory of Truth (1975)
In
Recent Essays on Truth and the Liar Paradox, R. L. Martin (Hg), Oxford/NY 1984

Brk I
K. Berka/L. Kreiser
Logik Texte Berlin 1983


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> Counter arguments against Kripke
> Counter arguments in relation to Modal Logic

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Ed. Martin Schulz, access date 2017-11-17