### Abstract

The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion.

Original language | English (US) |
---|---|

Publisher | Springer International Publishing |

Number of pages | 379 |

ISBN (Print) | 9783319214733, 9783319214726 |

DOIs | |

State | Published - Jan 1 2015 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Arts and Humanities(all)

### Cite this

*Mathematics, substance and surmise: Views on the meaning and ontology of mathematics*. Springer International Publishing. https://doi.org/10.1007/978-3-319-21473-3

**Mathematics, substance and surmise : Views on the meaning and ontology of mathematics.** / Davis, Ernest; Davis, Philip J.

Research output: Book/Report › Book

*Mathematics, substance and surmise: Views on the meaning and ontology of mathematics*. Springer International Publishing. https://doi.org/10.1007/978-3-319-21473-3

}

TY - BOOK

T1 - Mathematics, substance and surmise

T2 - Views on the meaning and ontology of mathematics

AU - Davis, Ernest

AU - Davis, Philip J.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion.

AB - The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion.

UR - http://www.scopus.com/inward/record.url?scp=84956731975&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84956731975&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-21473-3

DO - 10.1007/978-3-319-21473-3

M3 - Book

AN - SCOPUS:84956731975

SN - 9783319214733

SN - 9783319214726

BT - Mathematics, substance and surmise

PB - Springer International Publishing

ER -