A FILOSOFIA DA MATEMÁTICA DE CARNAP
Abstract
The paper discusses Carnap's view that mathematics should be seen as a part of logic, and attempts to show in what ways
Carnap’s version of this logicist view of mathematics differs from that of Frege. Particular attention is given to his account
of logical truth in terms of linguistic convention. Certain problems with Carnap’s version of conventionalism are discussed
and some suggestions are made concerning the possibility of developing a more satisfactory conventionalist account of logical necessity.
Downloads
References
AYER, A. J. (ed) 1959 Logical Positivism (Glencoe, Free Press)
BOHNERT, H. 1975 Carnap’s Logicism, em J. Hintikka ed. Rudolf Carnap: Logical Empiricist (Reidel, Dodrecht)
CARNAP, R. 1928 The Logical Structure of the World (tradução inglesa, University of California Press, Berkeley, 1967)
The Old and the New Logic, tradução inglesa em Ayer 1959.
The Logical Syntax of Language, tradução inglesa Kegan Paul, London 1937.
The Foundations of Logic and Mathematics, University of Chicago Press, Chicago.
a Intellectual Autobiography, in P. Schilpp ed. The Philosophy of Rudolf Carnap (Open Court, LaSalle)
b E. W.Beth on Constructed Language Systems, em Schilpp ed.
c P. F. Strawson on Linguistic Naturalism, em Schilpp ed.
CRAIG, E. J. 1975 The Problem of Necessary Truth, em S.Blackburn ed. Meaning, Reference and Necessity (Cambridge University Press) 1986 Arithmetic and Fact, em. l.Hacking ed. Exercíses in Analysis (Cambridge University Press).
CREATH,R. 1987. The Initial Reception of Carnap’s Doctrine of Analyticity, Nous vol.21.
Dear Carnap - Dear Van: The Carnap-Quine Correspondence and Related Texts (University of California Press).
DUMMETT, M. 1959 Wittgenstein's Philosophy of Mathematics, reimpresso em Dummett 1978.
Truth and Other Enigmas (Harvard University Press).
The Interpretaüon of Frege’s Philosophy (Harvard University Press).
FRIEDMAN. M. 1988 Logical Truth and Analyticity in Carnap’s Logical Syntax of language em Aspray & Kitcher eds. History and Philosophy of Modern Mathematics (University of Minnesota Press).
FREGE,G. 1884 The Foundations of Arithmetic , tradução inglesa 1950, Blackwell, Oxford.
Function and Concept, em Frege 1984.
The Basic laws of Arithmetic , vol. 1. tradução inglesa, University of California Press, 1964.
FREGE, G. 1984 Collected Papers ed. B. McGuinness (Blackwell, Oxford).
GABRIEL, G. 1986 Frege als Neukantianer, Kantstudion.
HALE, B. 1989 Necessity, Caution and Scepticism, Proceedings of the Aristotelian Society , Supplementray Volume.
PUTN AM, H. 1976 “Two Dogmas" Revisited, em Contemporary Aspects of Philosophy (Oxford) ed. G. Ryle, reimpresso em Putnam 1983.
Analyticity and Apriority: Beyond Wittgenstein and Quine.
Convention: A Theme in Philosophy, em Putnam 1983.
Realism and Reason {Cambridge University Press).
QUINE, W. V. 1936 Truth by Convention, em Quine 1976
Ways of Paradox and Other Essays edição revisada
WITTGENSTEIN, L. 1976 lectures on the Foundations of Mathematics, 1939.
Remarks on the Foundations of Mathematics
WRIGHT, C. 1980 Wittgenstein on the Foundations of Mathematics (Harvard University Press).
Inventing Logical Necessity, em J. Butterfield ed. Logic, Mind and language (Cambridge University Press)
Necessity, Caution and Scepticism, Proceedings of the Aristotelian Society, Supplementary Volume (resposta a Hale 1989).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Michael Wrigley
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.