|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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Unintended models/not intended/interpretation/Simons: arise e.g. when one axioms 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: do then exist necessary as well as non-technical terms equally (indistinguishable). - Solution/Simons: We can embed a non-modal theory in a modal. - Problem: the modalized theory cannot deal then with facts and actual existence.
To connect mathematics and world, you need the relations of modal and non-modal truths._____________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.
Parts Oxford New York 1987