J. Franklin
Palgrave Macmillan UK
e druk, 2014
9781349486182
An Aristotelian Realist Philosophy of Mathematics
Mathematics as the Science of Quantity and Structure
Specificaties
Paperback, blz.
|
Engels
Palgrave Macmillan UK |
e druk, 2014
ISBN13: 9781349486182
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Specificaties
ISBN13:9781349486182
Taal:Engels
Bindwijze:paperback
Uitgever:Palgrave Macmillan UK
Inhoudsopgave
Preface PART I: THE SCIENCE OF QUANTITY AND STRUCTURE 1. The Aristotelian Realist Point of View 2. Uninstantiated Universals and 'Semi-Platonist' Aristotelianism 3. Elementary Mathematics: Quantity and Number 4. Higher Mathematics: Science of the Purely Structural 5. Necessary Truths about Reality 6. The Formal Sciences Discover the Philosophers' Stone 7. Comparisons and Objections 8. Infinity 9. Geometry: Mathematics or Empirical Science? PART II: KNOWING MATHEMATICAL REALITY 10. Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure 11. Knowing Mathematics: Visualization 12. Knowing Mathematics: Understanding and Proof 13. Explanation in Mathematics 14. Idealization: An Aristotelian View 15. Non-Deductive Logic in Mathematics Epilogue: Mathematics, Last Bastion of Reason Notes Select Bibliography Index