The Space of Mathematics
eBook - PDF

The Space of Mathematics

Javier Echeverria, Andoni Ibarra, Thomas Mormann, Javier Echeverria, Andoni Ibarra, Thomas Mormann

  1. 438 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Space of Mathematics

Javier Echeverria, Andoni Ibarra, Thomas Mormann, Javier Echeverria, Andoni Ibarra, Thomas Mormann

Book details
Table of contents
Citations

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Information

Publisher
De Gruyter
Year
2012
ISBN
9783110870299
Edition
1
Topic
Mathematik
Subtopic
Mathematik Allgemein

Table of contents

  1. Acknowledgments
  2. Introductory afterthoughts
  3. 1. Structural Dimensions
  4. The Protean Character of Mathematics
  5. Categories of Space and of Quantity
  6. Structural Analogies Between Mathematical and Empirical Theories
  7. Reduction and Explanation: Science vs. Mathematics
  8. Reality, Truth, and Confirmation in Mathematics ā€“ Reflections on the Quasi-empiricist Programme
  9. Tacit Knowledge in Mathematical Theory
  10. Structure-similarity as a Cornerstone of the Philosophy of Mathematics
  11. 2. Dimensions of Applicability
  12. Applying Mathematics and the Indispensibility Argument
  13. Mathematical Structures and Physical Necessity
  14. The Role of Mathematics in Physical Science
  15. The Status of Set-theoretic Axioms in Empirical Theories
  16. Suppes Predicates for Classical Physics
  17. Mathematics in Philosophy
  18. 3. Historical Dimensions
  19. Are There Revolutions in Mathematics?
  20. Observations, Problems, and Conjectures in Number Theory ā€“ The History of the Prime Number Theorem
  21. Historical Aspects of the Foundations of Error Theory
  22. A Structuralist View of Lagrangeā€™s Algebraic Analysis and the German Combinatorial School
  23. Constructivism and Objects of Mathematical Theory
  24. Turingā€™s ā€œOracleā€: From Absolute to Relative Computability ā€“ And Back
  25. Computers and Mathematics: The Search for a Discipline of Computer Science
  26. 4. Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations
  27. Theories and the Flow of Information
  28. Structuralism and Scientific Discovery
  29. Towards a Typology of Intertheoretical Relations
  30. Index of Names
Citation styles for The Space of Mathematics

APA 6 Citation

[author missing]. (2012). The Space of Mathematics ([edition unavailable]). De Gruyter. Retrieved from https://www.perlego.com/book/652503/the-space-of-mathematics-pdf (Original work published 2012)

Chicago Citation

[author missing]. (2012) 2012. The Space of Mathematics. [Edition unavailable]. De Gruyter. https://www.perlego.com/book/652503/the-space-of-mathematics-pdf.

Harvard Citation

[author missing] (2012) The Space of Mathematics. [edition unavailable]. De Gruyter. Available at: https://www.perlego.com/book/652503/the-space-of-mathematics-pdf (Accessed: 14 October 2022).

MLA 7 Citation

[author missing]. The Space of Mathematics. [edition unavailable]. De Gruyter, 2012. Web. 14 Oct. 2022.