On Analytic a posteriori Statements: are they Possible?
Abstract
Traditionally, the notions of analyticity, aprioricity and necessity have been considered coextensive, and also their counterparts, namely, syntheticity, aposterioricity and contingency. Such coextensiveness has been questioned by philosophers like Kant and Husserl who, on the basis of very different definitions of analyticity, postulated the existence of synthetic a priori statements and, on the other hand, by Kripke, who argued for the existence of contingent a priori and necessary a posteriori statements. In this paper, on the basis of a new definition of analyticity that can be seen as a refinement of Husserl’s, it is argued for the existence of analytic a posteriori instantiations of analytic laws.
References
Chateaubriand, Oswaldo (2005). Logical Forms. Part II: Logic, Language, and Knowledge. Campinas: Editora CLE/UNICAMP.
Chateaubriand, Oswaldo (2001). Logical Forms. Part I: Truth and Description. Campinas: Editora CLE/UNICAMP.
Frege, Gottlob (1884). Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl. Centenarausgabe. Hamburg: F. Meiner, 1986.
Greenberg, Marvin (1980). Euclidean and Non–Euclidean Geometries: Development and History. Second edition. San Francisco: W. H. Freeman.
Husserl, Edmund (1900–1901). Logische Untersuchungen. Hua XVIII & XIX (1/2). Den Haag: Martinus Nijhoff, 1975 & 1984.
Kant, Immanuel (1781). Kritik der reinen Vernunft. Revised edition 1787. Reprint of both editions. Hamburg: Felix Meiner 1990.
Kelley, John L. (1955). General Topology. New York: D. Van Nostrand Reinhold Company.
Kripke, Saul (1972). «Naming and Necessity». In Semantics of Natural Language, edited by D. Davidson and G. H. Harman. Dordrecht: Reidel. Enlarged edition, Blackwell: Oxford, 1980.
Kripke, Saul (1977). «Identity and Necessity». In Naming, Necessity and Natural Kinds, edited by Stephen P. Schwartz. Ithaca: Cornell University Press, pp. 66–101
Quine, Willard van Orman (1951). «Two Dogmas of Empiricism». Reprinted in From a Logical Point of View, pp. 20–46.
Riemann, Bernhard (1867). «Über die Hypothesen, welche der Geometrie zu Grunde liegen». Third edition, 1923. Reprint, New York: Chelsea 1973.
Rosado Haddock, Guillermo E. (1981). «Necessità a posteriori e Contingenze a priori in Kripke: alcune Note Critiche». Nominazione 2. Revised English version in: Against the Current. Selected Philosophical Papers. Frankfurt: Ontos Verlag, 2012, pp. 285–301
Rosado Haddock, Guillermo E. (2007) «Issues in the Philosophy of Logic: a Heterodox Approach». Principia 11, no. 1. Reprinted in: Against the Current. Selected Philosophical Papers. Frankfurt: Ontos Verlag, 2012, pp. 305–325
Rosado Haddock, Guillermo E. (2008). «Husserl on Analyticity and Beyond». Husserl Studies 24. Reprinted in: Against the Current. Selected Philosophical Papers. Frankfurt: Ontos Verlag, 2012, pp. 327–339
Rosado Haddock, Guillermo E. (2010). «Some Uses of Logic in Rigorous Philosophy». Axiomathes 20, no. 2–3. Reprinted in Against the Current. Selected Philosophical Papers. Frankfurt: Ontos Verlag 2012, pp. 365–383
Rosado Haddock, Guillermo E. (2012). Against the Current. Selected Philosophical Papers. Frankfurt: Ontos Verlag
Thron, Wolfgang J. (1966). Topological Structures. New York: Holt, Rinehart and Winston.
Wolenski, Jan (2004). «Analytic vs. Synthetic and A Priori vs. A Posteriori». In Handbook of Epistemology, edited by I. Niniluoto, M. Sintonen and J. Wolenski. Dordrecht: Kluwer, pp. 781–839.
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