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Index
Translators’ Introduction: The Categorial Imperative
PART ONE TOPOS, OR LOGICS OF ONTO-LOGY: AN INTRODUCTION FOR PHILOSOPHERS
1 General Aim
2 Preliminary Definitions
3 The Size of a Category
4 Limit and Universality
5 Some Fundamental Concepts
6 Duality
7 Isomorphism
8 Exponentiation
9 Universe, 1: Closed Cartesian Categories
10 Structures of Immanence, 1: Philosophical Considerations
11 Structures of Immanence, 2: Sub-Object
12 Structures of Immanence, 3: Elements of an Object
13 ‘Elementary’ Clarification of Exponentiation
14 Central Object (or Sub-Object Classifier)
15 The True, the False, Negation and More
16 The Central Object as Linguistic Power
17 Universe, 2: The Concept of Topos
18 Ontology of the Void and Difference
19 Mono., Epi., Equ., and Other Arrows
20 Topoi as Logical Places
21 Internal Algebra of 1
22 Ontology of the Void and Excluded Middle
23 A Minimal Classical Model
24 A Minimal Non-Classical Model
PART TWO BEING THERE: MATHEMATICS OF THE TRANSCENDENTAL
Introduction
A. Transcendental Structures
B. Transcendental Connections
B.1. Connections between the transcendental and set-theoretic ontology: Boolean algebras
B.2. Connections between the transcendental and logic in its ordinary sense (propositional logic and first order predicate logic)
B.3. Connection between the transcendental and the general theory of localizations: Topology
C. Theory of Appearing and Objectivity
D. Transcendental Projections: Theory of Localization
E. Theory of Relations: Situation as Universe
Appendix: On Three Different Concepts of Identity Between Two Multiples or Two Beings
Translator’s Endnotes
Index
Copyright
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