| Table of Contents | 5 |
|---|
| Acknowledgements | 9 |
|---|
| Preface | 11 |
|---|
| Introduction | 13 |
|---|
| Beginning: Universals | 19 |
|---|
| The Start | 21 |
| On the Simplicity of Universals | 25 |
| On the Complexity of Universals | 26 |
| The Phenomenological Argument for the Simplicity of Universals | 27 |
| The Scientific Argument for the Complexity of Universals | 28 |
| Objections | 30 |
| A Reply to Objections | 31 |
| A Legacy: Gustav Bergman | 33 |
| A Legacy: John Anderson | 34 |
| The Nature of Universals | 35 |
| A Reply | 51 |
| 1. Grossmann on Exemplification | 52 |
| 2. Are there Conjunctive Properties? | 55 |
| 3. Structural Properties | 58 |
| 4. Ontology and the Physical Universe | 59 |
| Objections | 63 |
| A Reply to Objections | 69 |
| Universals and Classes: A Question | 72 |
| Universals and Classes: An Answer | 73 |
| Objections | 74 |
| A Reply to Objections | 75 |
| Middle: Laws of Nature | 77 |
|---|
| Laws of Nature as Quantified Facts | 79 |
| Laws of Nature as Connectionsbetween Universals | 80 |
| An Objection | 82 |
| A Reply | 84 |
| An Epistemological Problem:The Synthetic A Priori Truths | 85 |
| A Solution: Causation | 87 |
| An Objection: Induction | 89 |
| End:The Nature of Numbers | 91 |
|---|
| A Coincidence | 93 |
| Numbers Tied to Aggregates | 94 |
| An Objection: On Mereological Categories | 95 |
| A Reply: On Mereological Categories | 98 |
| Aggregates and Sets: A Question | 99 |
| Aggregates and Sets: An Answer | 101 |
| A Problem: Wholes and Mereological Sums | 103 |
| A Solution: The Identity Conditions for Mereological Sums | 105 |
| Concluding Remarks on Numbers andMereology | 107 |
| Appendices | 109 |
|---|
| 1. Reinhardt Grossmann’s Ontology | 111 |
| 2. Comments on Armstrong’s “Universals” | 127 |
| 3. Comments on Grossmann’s“The Existence of the World” | 131 |
| Bibliography | 137 |