## Economics Dictionary of ArgumentsHome | |||

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Logic: logic is the doctrine of the admissibility or inadmissibility of relations between statements and thus the validity of the compositions of these statements. In particular, the question is whether conclusions can be obtained from certain presuppositions such as premises or antecedents. Logical formulas are not interpreted at first. Only the interpretation, i. e. the insertion of values, e.g. objects instead of the free variables, makes the question of their truth meaningful._____________ 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 | Concept | Summary/Quotes | Sources |
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W.V.O. Quine on Logic - Dictionary of Arguments II 47ff Bivalence: Problem: Sorites. II 53 Bivalence is still a basic feature of our scientific world. - In the liberal sense there is no problem - Frege: each general term is true or not - all terms are vague by ostension. >Sorites. II 168 Logic, old: deals with properties - new: with relations - Quine: feels implications. II 169 Logic, old: failed with relative terms: drawing figures/drawing circles (Carroll) - new: no problem with that: implication lies precisely in the relative term. II 173 Existence: "all x are y" controversy: does this imply the existence of "x"? medieval logic: yes - Modern Times: No (thus gains in symmetry and simplicity). --- VII (e) 82 Logic/Quine: triple: propositions - classes - relations - logical terms: we only need three "ε" ("element of") - Sheffer stroke and universal quantifier. --- VII (f) 119 ff Class logic/Quine: emerges from quantifier logic if we bind scheme letters (predicate letters) "F" etc. - ((s) 2nd order Logic ). --- IX 8 Logic/Quine: main task: to prove the validity of schemes - 2nd order logic: this is about the validity of the formula schemes of quantifier logic - E.g. substitutability of bi-subjunction: "x1 ..." xn[((AB) and CA) > CB]. --- X 110 Logic/Quine: if you determine the totality of logical truths, you have established the logic. X 110 Different logic/Quine: there is no differing procedure of taking evidence, but rejection of part of the logic as untrue. X 111 "Everything could be different"/translation/different logic/interchanging/and/or/key position/ Gavagai/Quine: assuming a heterodox logic, in which the laws of the adjunction now apply to the conjunction, and vice versa - there is a mere change of phonetics or the designation. - ((s) If he says adjunction, he uses our conjunction.) - Quine: we force our logic on him by translating his different way of expressing himself. It is pointless to ask which one is the right conjunction. - There is also no essence of the conjunction beyond the sounds and signs and the laws for its use. >Gavagai/Quine, >Connectives/Quine, >Schmatic Letters/Quine. _____________ 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. |
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 |