## Economics Dictionary of ArgumentsHome | |||

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General validity: within a calculus a formula that is satisfied by any interpretation (variable assignment with expressions for objects) is valid. See also satisfaction, satisfiability, interpretation._____________ 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. | |||

Author | Item | Summary | Meta data |
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VII (f) 116 Validity/Quine: even validity and extension of predicates can be eliminated in favor of truth value tables - validity in the quantifier theory can be eliminated by proof theory. --- VII (i) 161 Validity/Quine: sentences that are valid for a universe, are also valid for a small universe - except for an empty universe. - Therefore, laws for large universes also should consider possible smaller universes. - Test, whether theorems are also valid for empty universes: put all universal quantifiers as true and all existential quantifiers as false. --- X 77 Validity/valid/Quine: There are two definitions of validity, a) (so far) as a property of schemes that refer to insertion. b) uses the set theory: therefore two auxiliary terms: 1. Auxiliary term "set-theoretic analogue": a logical scheme, open sentence of set theory: instead of predications "Fx", "Fy", "Gx" etc., so we write "X ε a" y ε α "x ε β" etc. the values of the variable "α", "β" etc. are amounts. Two-digit predicate letters. For "Hxy" we use ordered pairs Existential quantification: E.g. (Ex)(Fx.Gx): Set-theoretic analogue: the open sentence "Ex(x ε α. x ε β)". N.B.: This sentence talks about quantities and allows quantification about them. E.g. "(α)". Scheme letters "F" etc. on the other hand, only predicates represent and are not variables that take values. Set-theoretic analogue/s.a.: while the scheme is only the logical form of sentences, the set-theoretic analogue is actually a sentence of this form. 2. Auxiliary term for the new definition of validity: Model. _____________ 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. |
Quine I W.V.O. Quine Word and Object, Cambridge/MA 1960 German Edition: Wort und Gegenstand Stuttgart 1980 Quine II W.V.O. Quine Theories and Things, Cambridge/MA 1986 German Edition: Theorien und Dinge Frankfurt 1985 Quine III W.V.O. Quine Methods of Logic, 4th edition Cambridge/MA 1982 German Edition: Grundzüge der Logik Frankfurt 1978 Quine V W.V.O. Quine The Roots of Reference, La Salle/Illinois 1974 German Edition: Die Wurzeln der Referenz Frankfurt 1989 Quine VI W.V.O. Quine Pursuit of Truth, Cambridge/MA 1992 German Edition: Unterwegs zur Wahrheit Paderborn 1995 Quine VII W.V.O. Quine From a logical point of view Cambridge, Mass. 1953 Quine VII (a) W. V. A. Quine On what there is InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (b) W. V. A. Quine Two dogmas of empiricism InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (c) W. V. A. Quine The problem of meaning in linguistics InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (d) W. V. A. Quine Identity, ostension and hypostasis InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (e) W. V. A. Quine New foundations for mathematical logic InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (f) W. V. A. Quine Logic and the reification of universals InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (g) W. V. A. Quine Notes on the theory of reference InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (h) W. V. A. Quine Reference and modality InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VII (i) W. V. A. Quine Meaning and existential inference InFrom a Logical Point of View, , Cambridge, MA 1953 Quine VIII W.V.O. Quine Designation and Existence, in: The Journal of Philosophy 36 (1939) German Edition: Bezeichnung und Referenz InZur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982 Quine IX W.V.O. Quine Set Theory and its Logic, Cambridge/MA 1963 German Edition: Mengenlehre und ihre Logik Wiesbaden 1967 Quine X W.V.O. Quine The Philosophy of Logic, Cambridge/MA 1970, 1986 German Edition: Philosophie der Logik Bamberg 2005 Quine XII W.V.O. Quine Ontological Relativity and Other Essays, New York 1969 German Edition: Ontologische Relativität Frankfurt 2003 Quine XIII Willard Van Orman Quine Quiddities Cambridge/London 1987 |

> Counter arguments against **Quine**