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Wittgenstein, Finitism, and the Foundations of Mathematics

Wittgenstein, Finitism, and the Foundations of Mathematics

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"Wittgenstein, Finitism, and the Foundations of Mathematics" by Mathieu Marion is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.

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Best For: Readers interested in the intersection of philosophy and mathematics, especially those studying Wittgenstein's work.
Focus: The development of Wittgenstein's philosophy of mathematics with attention to finitism and foundational issues.
Covers: Historical and philosophical analysis of Wittgenstein's contributions to the foundations of mathematics.
Why It Matters: It highlights an often overlooked but central aspect of Wittgenstein's thought, providing insight into his influence on mathematical logic and philosophy.

"Wittgenstein, Finitism, and the Foundations of Mathematics" by Mathieu Marion 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: Mathieu Marion

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.

Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.

AuthorMathieu Marion
PublisherOxford University Press
Published1998
ISBN-139780198235163
BindingHardcover
Pages281
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesOxford Philosophical Monographs

Format: Hardcover

Length: 281 pages

Language: English

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