Philosophy of Mathematics: Structure and Ontology

Valutazione media 4
( su 15 valutazioni fornite da GoodReads )
 
9780195139303: Philosophy of Mathematics: Structure and Ontology

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic.

As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences.

Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

Extremely interesting and deserves the attention of anyone with a serious interest in the field ... a careful study of the book will be enormously rewarding to anyone with some prior exposure to the field. ( Philosophia Mathematica)

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Shapiro, Stewart
Editore: Oxford University Press 2000-03 (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Quantità: 5
Print on Demand
Da
Chiron Media
(Wallingford, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press 2000-03, 2000. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06871141

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 18,78
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,46
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

Stewart Shapiro
Editore: Oxford University Press Inc, United States (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Paperback Quantità: 10
Print on Demand
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press Inc, United States, 2000. Paperback. Condizione libro: New. 228 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an object and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro s work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians. Codice libro della libreria AAV9780195139303

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,67
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Stewart Shapiro
Editore: Oxford University Press Inc, United States (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Paperback Quantità: 10
Print on Demand
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press Inc, United States, 2000. Paperback. Condizione libro: New. 228 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an object and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro s work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians. Codice libro della libreria AAV9780195139303

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,92
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Stewart Shapiro
Editore: Oxford University Press Inc
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Paperback Quantità: 5
Print on Demand
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press Inc. Paperback. Condizione libro: new. BRAND NEW PRINT ON DEMAND., Philosophy of Mathematics: Structure and Ontology, Stewart Shapiro, Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians. Codice libro della libreria B9780195139303

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 18,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 6,87
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Shapiro, Stewart
Editore: Oxford University Press (2016)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780195139303_lsuk

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 23,33
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,86
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

6.

Shapiro, Stewart
Editore: OUP USA (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro OUP USA, 2000. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780195139303

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 19,80
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,40
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Shapiro, Stewart
Editore: Oxford University Press (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Paperback Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Oxford University Press, 2000. Paperback. Condizione libro: New. book. Codice libro della libreria 0195139305

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 35,95
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

8.

Stewart Shapiro
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Quantità: 1
Da
Castle Rock
(Pittsford, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97801951393031.0

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 43,49
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

9.

Shapiro, Stewart
Editore: OUP USA (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Quantità: > 20
Print on Demand
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro OUP USA, 2000. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria I2-9780195139303

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 47,64
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

10.

Stewart Shapiro
Editore: Oxford University Press, USA (2000)
ISBN 10: 0195139305 ISBN 13: 9780195139303
Nuovi Paperback Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Oxford University Press, USA, 2000. Paperback. Condizione libro: New. Codice libro della libreria DADAX0195139305

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 47,95
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro