PENGARUH PEMIKIRAN WITTGENSTEIN TERHADAP MATEMATIKA

https://doi.org/10.22146/jf.23087

Hardi Suyitno(1*)

(1) FMIPA Universitas Negeri Semarang
(*) Corresponding Author

Abstract


Wittgenstein is a unique philosopher. He criticizes his own opinion. Philosophers divide his views in two periods that are early and later. The early of Wittgentein’s view set by Tractatus Logico Philosophicus and the later set by Philosophical Investigations. Wittgenstein's conceptions of mathematics fall in three periods, that are early, midle and later. The early period Wittgenstein's conception of mathematics set by Tractatus Logico Philosophicus, the midle period set by Philosophical Grammar dan Philosophical Remarks, and the later period set by Remarks on the Foundations of Mathematics. The Wittgenstein’s view on mathematics is not belonging to logicism, formalism, or intuitionism. The later Wittgenstein on mathematics is that “Mathematics as a human invention”. He maintains his rejection for infinitely in mathematics.

Keywords


mathematics, infinitely, logicism, formalism, intuitionism

Full Text:

PDF


References

Apostol, Tom M.. 1979. Mathematical Analysis. Massachusetts: Addison-Wesley Publishing Company

Bertens, K. 2002. Filsafat Barat Kontemporer: Inggris–Jerman. .Jakarta: PT Gramedia Pustaka Utama.

Collinson, Diane. 2001. Lima Puluh Filosof Dunia yang menggerakan. (Pent. Ilzamudin Ma’mur dan Mufti Ali). Jakarta: PT RajaGrafindo Persada.

Finch, Henry Le Roy. 1977. Wittgenstein–The Later Philosophy. Atlantic Highlands, N.J.: Humanities Press.

Floyd, Juliet. 2002. “Number and Ascriptions of Number in Wittgenstein's Tractatus,” in Perspectives on Early Analytic Philosophy: Frege, Russell, Wittgenstein, E. Reck (ed.). New York: Oxford University Press: 308-352.

Fraleigh, John B. 1974. A First Course in Abstract Algebra. London: Addfison-Wesley Publishing Company

Frascolla, Pasquale. 1994. Wittgenstein's Philosophy of Mathematics. London and New York: Routledge.

Hardy, G.H and Wright, E.M.. 1938. “An Introduction to the

Theory of Number” New York: Oxford University Press. Hers, Reuben. 1997. What is Mathematics, Really? London:

Jonathan Cape.

Hintikka, Jaakko. 1993. “The Original Sinn of Wittgenstein's Philosophy of Mathematics,” in Wittgenstein's Philosophy of Mathematics. K. Puhl, (ed.). Vienna: Verlag Hölder-Pichler-Tempsky: 24-51.

Kaelan. 2003. Filsafat Analitik Menurut Ludwig Wittgenstein: Relevansinya bagi Pengembangan Filsafat Bahasa. Disertasi Fakultas Filsafat UGM.

Kremer, Michael. 2002. ”Mathematics and Meaning in the Tractatus,” Philosophical Investigations.

Matar, http://www.tau.ac.il/humanities/philos/segel/matar.html

Monk, Ray. 1990. Ludwig Wittgenstein: The Duty of Genius.

New York: The Free Press.

Moore, A. W.. 2003. “On the Right Track” , Mind. Vol. 112, No. 446: 307-321.

Mudhofir, Ali.2001. Kamus Filsuf Barat. Yogyakarta: Pustaka Pelajar.

Munitz Milton K. 1981. Contemporary Analytic Philosophy. New York: Macmillan Publishing Co.

Purcell, Edwin J.. 1984. Kalkulus dan Geometri Analitis (Pent. Rawuh dan Bana Kartasasmita). Jakarta: Erlangga.

Richter, Duncan J. 2006,

http://www.utm.ed/research/jep/w/witgens.htm

Rodych, Victor. 2007. Wittgenstein's Philosophy of Mathematics. First published Fri 23 2007. http:// Plato.stanford.edu/entries/Wittgenstein.mathematics

Rudin, Walter. 1986. Principles of Mathematical Analysis.

London: McGraw-Hill Book Company

Sluga, Hans and Stern, David G.. 1996. The Cambridge Companion to Wittgenstein. New York: Cambridge University Press.

Waismann, Friedrich. 1979. Wittgenstein and the Vienna Circle, edited by B.F. McGuinness; translated by Joachim Schulte and B.F. McGuinness. Oxford: Basil Blackwell.

Wittgenstein, L. 1951. Tractacus Logico Philosophicus. London: Routledge & Kegan Paul Ltd.

Wittgenstein, L. 1953. Philosophical Investigation ( transled by G.E.M. Anscombe). Oxford: Basil Blackwell.

Wittgenstein, L, 1974, Philosophical Grammar, (Rush Rhees, ed., translated by Anthony Kenny. Oxford: Basil Blackwell.

Wittgenstein, Ludwig. 1975. Philosophical Remarks. Rush Rhees, (ed.); translated by Raymond Hargreaves and Roger White. .Oxford: Basil Blackwell.

Wittgenstein, L. 1978. Remarks on the Foundation of Mathematics (Revised Edition). Cambridge: Massahusetts Institute of Technology Press

Biletzki Anat and Anat Matar, 2006, http://plato.standford.edu/fundraising

Rodych, Victor, 2007, http://plato.stnford.edu/entiries/Wittgenstein.mathematics/.



DOI: https://doi.org/10.22146/jf.23087

Article Metrics

Abstract views : 2790 | views : 4029

Refbacks

  • There are currently no refbacks.


Bookmark and Share


Copyright (c) 2017 Jurnal Filsafat

Jurnal Filsafat Indexed by:

Google ScholarSinta (Science and Technology Index)


Jurnal Filsafat ISSN 0853-1870 (print), ISSN 2528-6811 (online)