# The Practical Turn in Philosophy of Mathematics: A Portrait of a Young Discipline

@article{Giardino2017ThePT, title={The Practical Turn in Philosophy of Mathematics: A Portrait of a Young Discipline}, author={Valeria Giardino}, journal={Phenomenology and Mind}, year={2017}, pages={18-28} }

In the present article, the current situation of the so-called philosophy of mathematical practice is discussed. First, its emergence is evaluated in relation to the “practical” turn in philosophy of science and in philosophy of mathematics. Second, the variety of approaches concerned with the practice of mathematics and the new topics being now object of research are introduced. Third, the possible replies to the question about what counts as mathematical practice are taken into account… Expand

#### 3 Citations

Philosophy of mathematical practice: a primer for mathematics educators

- 2020

In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice . In this paper we… Expand

On Euclidean diagrams and geometrical knowledge

- Philosophy
- THEORIA. An International Journal for Theory, History and Foundations of Science
- 2019

We argue against the claim that the employment of diagrams in Euclidean geometry gives rise to gaps in the proofs. First, we argue that it is a mistake to evaluate its merits through the lenses of… Expand

Type and Token in the Prehistoric Origins of Numbers

- History
- Cambridge Archaeological Journal
- 2020

The type–token distinction and the notion of ‘tokenization’ are proposed as analytical tools that may help us understand better the emergence of numbers and mathematical thinking from the… Expand

#### References

SHOWING 1-10 OF 18 REFERENCES

Mathematical Practice and Conceptual Metaphors: On cognitive studies of historical developments in mathematics

- 2011

The aim of this paper is to look at recent work in cognitive science on mathematical cognition from the perspective of philosophy of mathematical practice. The discussion is focused on the work of… Expand

Philosophy or Not? The Study of Cultures and Practices of Mathematics

- Sociology
- 2016

The most commonly accepted name of our research field is Philosophy of Mathematical Practice, giving philosophy a prioritized role among the many disciplines involved in the field. We explore the… Expand

TOWARDS A PHILOSOPHY OF REAL MATHEMATICS

- 2011

David Corfield starts his interesting book with a radical rejection of much that has been written about the philosophy of mathematics. He has no interest in ontology, epistemology, logicism,… Expand

The Unreasonable Richness of Mathematics

- Psychology
- 2004

The paper gives an impression of the multi-dimensionality of mathematics as a human activity. This 'phenomenological' exercise is performed within an analytic framework that is both an expansion and… Expand

Diagrammatic Reasoning in Mathematics

- Mathematics
- 2017

The objective of the present chapter will be to review the most recent studies about diagrammatic reasoning in mathematics. Section 22.3 will focus on the very much discussed topic of the role and of… Expand

The Growth of Mathematical Knowledge

- Mathematics
- 2000

Acknowledgments. Introduction. Notes on Contributors. Part I: The Question of Empiricism. The Role of Scientific Theory and Empirical Fact in the Growth of Mathematical Knowledge. 1. Knowledge of… Expand

Where mathematics comes from : how the embodied mind brings mathematics into being

- Mathematics
- 2002

This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in… Expand

Plato's Problem: An Introduction to Mathematical Platonism

- Philosophy
- 2013

Preface Terminological Conventions Introduction The Origins From Frege to Godel (through Hilbert) Benacerraf's Arguments Non-conservative Responses to Benacerraf's Dilemma Conservative Responses to… Expand

Visual thinking in mathematics

- 2007

Visual thinking — visual imagination or perception of diagrams and symbol arrays, and mental operations on them — is omnipresent in mathematics. Is this visual thinking merely a psychological aid,… Expand

Science After the Practice Turn in the Philosophy, History, and Social Studies of Science

- Sociology
- 2016

cultivated plants from the West into China, which enriched the diversity of local crops in China. This book devotes much effort to discussing why traditional Chinese science and technology took a… Expand