Logicism and Analyticity. Frege and Carnap, two Logicians Proposals
DOI:
https://doi.org/10.29092/uacm.v11i26.205Keywords:
Semantics, Analyticity, Apriority, Logicism, Frege, CarnapAbstract
Different research programs in philosophy have defined the notions of analyticity and apriority. Contemporary perspectives: Boghossian (2000), Peacocke (2000), Kitcher (1980, 2000), Horwich (2000) —just to mention some cases— face the problem of defining the extension of such concepts. The purpose of this paper is: to offer the reader, in a single useful article, a fine and delimited analysis of the paradigmatic logicist definition of analyticity that cause the contemporary discussions: Frege (1879, 1874) and ii. Carnap (1935, 1947). In this way, the reader will have the conceptual tools to follow properly the classical and contemporary controversy available on this matter, in philosophy of language, philosophy of logic and the epistemology
Downloads
References
Boghossian, P., Peacocke, C. (eds.) (2000), New Essays on the A Priori, Oxford-Nueva York: Oxford University Press (OUP).
Carnap, R. (1996) [1935], “Logical Syntax of Language”, en Philosophy and Logical Syntax, Bristol, uk: Thoemmes [fascímil de la edición original publicada en Londres: Kegan Paul, Trench, Trubner & Co., 100 pp.].
____(1967) [1934], Logical Syntax of Language, Londres: Routledge & Kegan Paul [versión original: Logische Syntax der Sprache, Viena, ulius Springer].
____(1947), Meaning and Necessity: A Study in Semantics and Modal Logic, Chicago: University of Chicago Press.
Frege, G. (1986) [1884], Die Grundlagen der Arithmetik. Eine logisch mathematische Untersuchung über den Begriff der Zahl, Centenar Ausgabe, Christian Thiel (ed.), Hamburgo: Felix Meiner
[edición original en Breslau: Wilhelm Koebner].
____(1972a) [1879], “Conceptografía”, en Conceptografía. Los fundamentos de la aritmética. Otros estudios filosóficos, México: Instituto de Investigaciones Filosóficas (IIF)-UNAM.
____(1972b) [1884], “Los fundamentos de la aritmética”, en Conceptografía. Los fundamentos de la aritmética. Otros estudios filosóficos, México: Instituto de Investigaciones Filosóficas (IIF)-UNAM.
Gödel, K. (1986) [1931], “Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme i” (“On formally undecidable propositions of Principia mathematica and related Systems i”), versión bilingüe en Solomon Feferman (ed.), Kurt Gödel. Collected Works, vol. i: Publications 1929–1936, Nueva York: oup, pp. 144–195.
Hilbert, D. (1931), “Die Grundlegung der Elementaren Zahlenlehre”, en Mathematische Annalen, vol. 104, Berlín-Heidelberg: Springer, pp. 485-494 [versión en inglés: “The Grounding of Elementary Number Theory”, en Paolo Mancosu (ed.) (1998), From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920’s, Nueva York: Oxford University Press, pp. 266-273].
Hintikka, J. (2009), “Logicism” en Andrew D. Irvine (ed.), Handbook of the Philosophy of Mathematics, Amsterdam: Elsevier, pp. 271-290.
Horwich, P. (2000), “Stipulation, Meaning, and Apriority”, en Paul Boghossian y Christopher Peacocke (eds.), New Essays on the A Priori, Oxford-Nueva York: oup, pp. 150-169.
Kant, I. (1978), Crítica de la razón pura, 3a ed., Madrid: Alfaguara.
Kitcher, P. (2000), “A priori Knowledge Reviseted”, en Paul Boghossian y Christopher Peacocke (eds.), New Essays on the A Priori, Oxford-Nueva York: oup, pp. 65-91.
____(1980), “Apriority and Necessity”, en Australiasan Journal of Philosophy, vol. 58, núm. 2, junio, Tasmania, au/Londres: The Australasian Association of Philosophy/Routledge, pp. 89-101.
Kripke, S. (1980) [1972], Naming and necessity, Cambridge, Massachusetts, Oxford: Harvard University Press [originalmente publicado en Donald Davidson y Gilbert Harman, (eds.), Semantics of Natural Language, Dordrecht, hol-Boston, ma: Dordrecht Reidel, pp. 253-355].
Morado, R. (1987), “Frege, Hempel and Dedekin: Definition of Number and Correferentiality”, en Ergo, vol. i, núm. 2, agosto, Xalapa: Facultad de Filosofía y Letras-Universidad Veracruzana, pp. 45-56.
Quine, W. O. (1951), “Two Dogmas of Empiricism”, en The Philosophical Review, vol. 60, núm. 1, enero-marzo, pp. 20-43 [version castellana: “Dos dogmas del empirismo”, en Willard van Orman
Quine, Desde un punto de vista lógico, 2a ed., Barcelona, Paidós, 2002, pp. 61-91].
Russell, B. (1983) [1919], “Mathematics and Logic”, en Paul Benacerraff e Hilary Putnam (eds.), Philosophy of Mathematics. Selected Readings, 2a ed., Cambridge, UK: Cambridge University Press
(CUP), pp. 173-182 [publicado originalmente como el capítulo xviii de Bertrand Russell, introduction to Mathematical Philosophy, Londres-Nueva York: George Allen & Unwin/The Macmillan Co., pp. 194-206].
Russell, B., Whitehead, A. N. (1910-1913), Principia Mathematica, 3 vols., Cambridge-Londres: CUP.
Tarski, A. (1956) [1936], “On the Concept of Logical Consequence”, en Logic, Semantics, Metamathematics. Papers from 1923 to 1938, Oxford: Clarendon Press, pp. 409-420 [apareció originalmente en polaco como “O pojciu wynikania logicz-nego”, en Przeglad Filozoficzny, vol. 89, 1936, pp. 58-68 y en alemán con el título “Úber den Begriff der logischen Folgerung”, en Actes du Congrès International de Philosophie Scientifique, vol. 7, París, Actualités Scientifiques et Industrielles, 1936, pp. 1-11].
____(1994) [1941], Introduction to Logic and to the Methodology of Deductive Sciences, 4a ed., edición preparada por Jan Tarski, Nueva York-Oxford: oup [traducción inglesa que expande y actualiza la version original en alemán: Einfürung in die matematische Logik un in die Methodologie der Mathematik, Viena: Julius Springer].
Published
Issue
Section
License
This Journal is licensed under Creative Commons Mexico 2.5. It is allowed to reproduce and disseminate the contents of the Journal for educational or research purposes, not for profit, as long as they are not mutilated and cite the source (Andamios, Revista de Investigación Social) and the author.
The copyright of the articles published in Andamios, Revista de Investigación Social are transferred by the author(s) to Universidad Autónoma de la Ciudad de México when the originals have been accepted, so that they are published and distributed both in the printed and electronic versions of the Journal. However, as established by law, the author(s) retains their moral rights. The author(s) will receive a form of assignment of copyright that they must to sign when their original has been accepted. In the case of collective articles, the signature of one of the authors will suffice, provided that the latter has obtained the consent of the others.
Authors may use the material of their article in other works or books published by themselves, with the condition of quoting Andamios as the original source of the texts.
The articles contained in this publication are the responsibility of their authors and do not compromise the official position of Andamios, Revista de Investigación Social of the Universidad Autónoma de la Ciudad de México.
