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A STRUCTURAL AND FOUNDATIONAL ANALYSIS OF EUCLID’S PLANE GEOMETRY: THE CASE STUDY OF CONTINUITY
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Pierluigi Graziani
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Chapters in this book
- Frontmatter i
- Contents v
- EDITORS’ INTRODUCTION 1
- ON RUSSELL’S METAPHYSICS OF TIME 7
- WEAK DISCERNIBILITY AND THE IDENTITY OF SPACETIME POINTS 43
- A STRUCTURAL AND FOUNDATIONAL ANALYSIS OF EUCLID’S PLANE GEOMETRY: THE CASE STUDY OF CONTINUITY 63
- CAN THE MATHEMATICAL STRUCTURE OF SPACE BE KNOWN A PRIORI? A TALE OF TWO POSTULATES 107
- GUNKOLOGY AND POINTILISM: TWO MUTUALLY SUPERVENING MODELS OF THE REGION–BASED AND THE POINT-BASED THEORY OF THE INFINITE TWODIMENSIONAL CONTINUUM 137
- THIS MOMENT AND THE NEXT MOMENT 171
- T×W EPISTEMIC MODALITY 195
- TOWARDS A THEORY OF MULTIDIMENSIONAL TIME TRAVEL 209
- GÖDELIAN TIME TRAVEL AND WEYL’S PRINCIPLE 237
- About the authors 273
Chapters in this book
- Frontmatter i
- Contents v
- EDITORS’ INTRODUCTION 1
- ON RUSSELL’S METAPHYSICS OF TIME 7
- WEAK DISCERNIBILITY AND THE IDENTITY OF SPACETIME POINTS 43
- A STRUCTURAL AND FOUNDATIONAL ANALYSIS OF EUCLID’S PLANE GEOMETRY: THE CASE STUDY OF CONTINUITY 63
- CAN THE MATHEMATICAL STRUCTURE OF SPACE BE KNOWN A PRIORI? A TALE OF TWO POSTULATES 107
- GUNKOLOGY AND POINTILISM: TWO MUTUALLY SUPERVENING MODELS OF THE REGION–BASED AND THE POINT-BASED THEORY OF THE INFINITE TWODIMENSIONAL CONTINUUM 137
- THIS MOMENT AND THE NEXT MOMENT 171
- T×W EPISTEMIC MODALITY 195
- TOWARDS A THEORY OF MULTIDIMENSIONAL TIME TRAVEL 209
- GÖDELIAN TIME TRAVEL AND WEYL’S PRINCIPLE 237
- About the authors 273