Mathematics and Experience

Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (2):146-182 (2009)
  Copy   BIBTEX

Abstract

Mathematics was considered by the members of the Vienna Circle an a priori discipline consisting of analytic propositions. The aim of the present paper is to draw attention to the experiential dimension of mathematical knowledge. Following the interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to interpret also mathematical knowledge as knowledge based on instrumental experience. This interpretation opens a new perspective on the place of the logicist program in philosophy of mathematics. The aim of the present paper is to argue that mathematics is based on experience and that mathematical experience is instrumental. The difference between mathematics and physics is that in the case of mathematics the instruments are not measuring devices but tools of symbolic representation. In order to distinguish the mathematical experience from the physical one , I will call the instrumental experience in mathematics as symbolic experience. In analogy with the measuring devices of physics I will interpret the tools of symbolic representation as tools constituting symbolic experience

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,923

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The companion guide to The mathematical experience, study edition.Philip J. Davis - 1995 - Boston: Birkhäuser. Edited by Reuben Hersh, Elena Marchisotto & Philip J. Davis.
The mathematical experience.Philip J. Davis - 1981 - Boston: Birkhäuser. Edited by Reuben Hersh & Elena Marchisotto.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Mathematics and Reality.Ladislav Kvasz - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):302-330.
Why is there Philosophy of Mathematics AT ALL?Ian Hacking - 2011 - South African Journal of Philosophy 30 (1):1-15.
Reflections on mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Changes of language in the development of mathematics.Ladislav Kvasz - 2000 - Philosophia Mathematica 8 (1):47-83.
Reason, Habit, and Applied Mathematics.David Sherry - 2009 - Hume Studies 35 (1-2):57-85.
Mathematics and the mind of God.Louk Fleischhacker - 1997 - Foundations of Science 2 (1):67-72.
An introduction to the philosophy of mathematics.Mark Colyvan - 2012 - Cambridge: Cambridge University Press.
Mathematics and mind.Alexander George (ed.) - 1994 - New York: Oxford University Press.

Analytics

Added to PP
2013-12-25

Downloads
11 (#1,163,565)

6 months
6 (#585,724)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references