Psychology Dictionary of ArgumentsHome
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| Unintended Models, philosophy: a model results from a formula in logic, if its interpretation - the insertion of values instead of the free variables - gives a true statement. For axiom systems, one speaks of the set of models that the system allows to construct. The problem of the unintended models arises when a statement obtained in the system is indeterminate in one respect, so that in turn it allows different interpretations. See also indeterminacy._____________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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Peter M. Simons on Unintended Models - Dictionary of Arguments
I 315 Unintended models/not intended/interpretation/Simons: unintended models arise e.g. when one axiom has a modal term non-modally. Analog: if one interprets a mereological term topologically because topologically all quantities exist (closed as open). Modal/non-modal/(s): non-modal: modal terms do then exist necessary as well as non-technical terms equally (indistinguishable). >Modalities, >Modal logic, >Possibilia. Solution/Simons: we can embed a non-modal theory in a modal. Problem: the modalized theory cannot deal with facts and actual existence. I 318 To connect mathematics and the world, you need the relations of modal and non-modal truths. >Truth, >Truth functions, >Models, >Model theory._____________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. |
Simons I P. Simons Parts. A Study in Ontology Oxford New York 1987 |
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> Counter arguments against Simons
> Counter arguments in relation to Unintended Models
