The Ambition of Absolute Agreement in Mathematics, and Deviations from It

Constructivist Foundations 18 (2):279-281 (2023)
  Copy   BIBTEX

Abstract

I claim that mathematics is constructed with the ambition of allowing for absolute agreement. Dealing with students’ thinking that deviates from the supposedly absolute agreement is a key problem for mathematics teaching. Some sources for such deviant thinking include the relationship between mathematics and modelled reality, and the “imaginary” nature of probability.

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,323

External links

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

Through your library

My notes

Similar books and articles

Mathematical models and reality: A constructivist perspective. [REVIEW]Christian Hennig - 2010 - Foundations of Science 15 (1):29-48.
Varieties of Maverick Philosophy of Mathematics.Carlo Cellucci - 2017 - In B. Sriraman (ed.), Humanizing Mathematics and its Philosophy. Birkhäuser. pp. 223-251.
From the Languages of Art to mathematical languages, and back again.Caroline Jullien - 2012 - Enrahonar: Quaderns de Filosofía 49:91-106.
Mathematics and the real world: the remarkable role of evolution in the making of mathematics.Zvi Artstein - 2014 - Amherst, New York: Prometheus Books. Edited by Aland Hercberg.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Toward a Model of Constructivist Mathematics Teaching.L. P. Steffe - 2016 - Constructivist Foundations 12 (1):75-77.
The Argument from Agreement and Mathematical Realism.Pieranna Garavaso - 1992 - Journal of Philosophical Research 17:173-187.
Ideas and processes in mathematics: A course on history and philosophy of mathematics.Charalampos Toumasis - 1993 - Studies in Philosophy and Education 12 (2):245-256.
Reflections on mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Rigor and Structure.John P. Burgess - 2015 - Oxford, England: Oxford University Press UK.
From absolute to local mathematics.J. L. Bell - 1986 - Synthese 69 (3):409 - 426.
Absolute Ethics, Mathematics and the Impossibility of Politics.R. F. Holland - 1977 - Royal Institute of Philosophy Lectures 11:172-188.
Absolute Ethics, Mathematics and the Impossibility of Politics.R. F. Holland - 1977 - Royal Institute of Philosophy Lectures 11:172-188.
Depth — A Gaussian Tradition in Mathematics.Jeremy Gray - 2015 - Philosophia Mathematica 23 (2):177-195.
Mathematical Knowledge and the Interplay of Practices.José Ferreirós - 2015 - Princeton, USA: Princeton University Press.

Analytics

Added to PP
2023-09-27

Downloads
5 (#1,545,183)

6 months
4 (#798,384)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references