Philosophy Dictionary of ArgumentsHome
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| Modal Operators: modal operators are symbols for expressing possibility and necessity. These operators do not belong to classical logic, but fall into the field of modal logic. Their placement at the beginning or in the course of formulas determines the relative strength of statements that can be obtained from the interpretation of these formulas. See also range, stronger/weaker, modal logic, 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. | |||
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Hartry Field on Modal Operators - Dictionary of Arguments
I 205 Modal operator/problem of actuality/Field: E.g. it is possible that a distance is twice or half as big as it actually is. - That cannot be done by the possibility operator alone. >Modal operator, >Contingency, >Facts. Incorrect solution: "actuality operator": which is to refer back to the actual world. >Actual world. Modality: is used by the relationism to express that double distance is possible, even if there is no matter point. - The Substantivalism does not need that. >Relationism, >Substantivalism. I 253 Modality/possibility/physics/Field: a prefixed modal operator would change the content of a physical law. - ((s) Which goes beyond the purely logical case p > Mp.) >Natural laws._____________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. |
Field I H. Field Realism, Mathematics and Modality Oxford New York 1989 Field II H. Field Truth and the Absence of Fact Oxford New York 2001 Field III H. Field Science without numbers Princeton New Jersey 1980 Field IV Hartry Field "Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67 In Theories of Truth, Paul Horwich, Aldershot 1994 |
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> Counter arguments against Field
> Counter arguments in relation to Modal Operators
Ed. Martin Schulz, access date 2024-04-28