An aristotelian realist philosophy of mathematics

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. Geo...

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. Geo...

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. Geo...

Mathematics is as much a science of the real world as biology is. It is the science of the worlds 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.

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. Geo...

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. Geo...

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. Geo...

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. Geo...

Mathematics is as much a science of the real world as biology is. It is the science of the worlds 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.