Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Mathematics, substance and surmise =...
~
SpringerLink (Online service)
Mathematics, substance and surmise = views on the meaning and ontology of mathematics /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Mathematics, substance and surmise/ edited by Ernest Davis, Philip J. Davis.
Reminder of title:
views on the meaning and ontology of mathematics /
other author:
Davis, Philip J.
Published:
Cham :Imprint: Springer, : 2015.,
Description:
vi, 379 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Philosophy of Science. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-21473-3
ISBN:
9783319214733
Mathematics, substance and surmise = views on the meaning and ontology of mathematics /
Mathematics, substance and surmise
views on the meaning and ontology of mathematics /[electronic resource] :edited by Ernest Davis, Philip J. Davis. - Cham :Imprint: Springer,2015. - vi, 379 p. :ill., digital ;24 cm.
Introduction -- Hardy, Littlewood, and polymath, (Martin and Pease) -- Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein)- Mathematical Products (Davis)-How Should Robots Think about Space? (Azzouni) -- Mathematics and its Applications (Berlinski) -- Nominalism: The Nonexistence of Mathematical Objects (Azzouni) -- An Aristotelian Approach to Mathematical Ontology (Gillies) -- Let G be a Group (Lutzen) -- From the Continuum to Large Cardinals (Stillwell) -- Mathematics at Infinity (Gray) -- Mathematics and Language (Avigad) -- Mathematics as Language (Ross) -- Mathematics as Multimodal Semiotics (O'Halloran) -- Problems in Philosophy of Mathematics: A View from Cognitive Science (Piantadosi) -- Beliefs about the Nature of Numbers (Rips) -- What Kind of Thing Might Number Become? (Sinclair) -- Enumerated Entities in Public Policy and Governance (Verran)
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. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lutzen Ursula Martin Kay L. O'Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair John Stillwell Helen Verran.
ISBN: 9783319214733
Standard No.: 10.1007/978-3-319-21473-3doiSubjects--Topical Terms:
668204
Philosophy of Science.
LC Class. No.: QA8.4
Dewey Class. No.: 510.1
Mathematics, substance and surmise = views on the meaning and ontology of mathematics /
LDR
:03000nam a2200313 a 4500
001
838612
003
DE-He213
005
20160414085425.0
006
m d
007
cr nn 008maaau
008
160616s2015 gw s 0 eng d
020
$a
9783319214733
$q
(electronic bk.)
020
$a
9783319214726
$q
(paper)
024
7
$a
10.1007/978-3-319-21473-3
$2
doi
035
$a
978-3-319-21473-3
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA8.4
072
7
$a
PBX
$2
bicssc
072
7
$a
MAT015000
$2
bisacsh
082
0 4
$a
510.1
$2
23
090
$a
QA8.4
$b
.M426 2015
245
0 0
$a
Mathematics, substance and surmise
$h
[electronic resource] :
$b
views on the meaning and ontology of mathematics /
$c
edited by Ernest Davis, Philip J. Davis.
260
$a
Cham :
$c
2015.
$b
Imprint: Springer,
$b
Springer International Publishing :
300
$a
vi, 379 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
Introduction -- Hardy, Littlewood, and polymath, (Martin and Pease) -- Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein)- Mathematical Products (Davis)-How Should Robots Think about Space? (Azzouni) -- Mathematics and its Applications (Berlinski) -- Nominalism: The Nonexistence of Mathematical Objects (Azzouni) -- An Aristotelian Approach to Mathematical Ontology (Gillies) -- Let G be a Group (Lutzen) -- From the Continuum to Large Cardinals (Stillwell) -- Mathematics at Infinity (Gray) -- Mathematics and Language (Avigad) -- Mathematics as Language (Ross) -- Mathematics as Multimodal Semiotics (O'Halloran) -- Problems in Philosophy of Mathematics: A View from Cognitive Science (Piantadosi) -- Beliefs about the Nature of Numbers (Rips) -- What Kind of Thing Might Number Become? (Sinclair) -- Enumerated Entities in Public Policy and Governance (Verran)
520
$a
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. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lutzen Ursula Martin Kay L. O'Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair John Stillwell Helen Verran.
650
2 4
$a
Philosophy of Science.
$3
668204
650
2 4
$a
History of Mathematical Sciences.
$3
785417
650
0
$a
Mathematics.
$3
527692
650
0
$a
Mathematics
$x
Philosophy.
$3
575254
700
1
$a
Davis, Philip J.
$3
888385
700
1
$a
Davis, Ernest.
$3
1069855
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-21473-3
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login