Philosophy of Mathematics
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"Philosophy of Mathematics" by Stewart Shapiro is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Shapiro argues that both realist and anti-realist accounts of mathematics are problematic. To resolve this dilemma, he articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
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"Philosophy of Mathematics" by Stewart Shapiro is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Core Mathematics
Author: Stewart Shapiro
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
Shapiro argues that both realist and anti-realist accounts of mathematics are problematic. To resolve this dilemma, he articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
| Author | Stewart Shapiro |
| Publisher | Oxford University Press on Demand |
| Published | 2000 |
| ISBN-13 | 9780195139303 |
| Binding | Paperback |
| Pages | 279 |
| Language | English |
| Subjects | Mathematics |
| Topic | Core Mathematics |
Format: Paperback
Length: 279 pages
Language: English
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