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Expansion for Theory of Logic

874 1. Philosophy
537 2. Reason
571 3. Truth
763 4. Formal Logic

1161 5. Theory of Logic
A. Overview of Logic
33 1. Overview of Logic
15 2. History of Logic
21 3. Value of Logic
17 4. Pure Logic
18 5. First-Order Logic
26 6. Classical Logic
32 7. Second-Order Logic
8 8. Logic of Mathematics
2 9. Philosophical Logic
B. Logical Consequence
27 1. Logical Consequence
6 2. Types of Consequence
6 3. Deductive Consequence |-
15 4. Semantic Consequence |=
9 5. Modus Ponens
2 6. Entailment
5 7. Strict Implication
7 8. Material Implication
C. Ontology of Logic
16 1. Ontology of Logic
5 2. Platonism in Logic
10 3. If-Thenism
8 4. Logic by Convention
D. Assumptions for Logic
13 1. Bivalence
24 2. Excluded Middle
4 3. Contradiction
16 4. Identity in Logic
E. Structures of Logic
35 1. Logical Form
27 2. Logical Connectives a. Logical connectives
3 b. Basic connectives
9 c. not
6 d. and
7 e. or
2 3. Constants in Logic
19 4. Variables in Logic
12 5. Functions in Logic
9 6. Relations in Logic
6 7. Predicates in Logic
9 8. Theories in Logic
F. Referring in Logic
31 1. Naming a. Names
31 b. Names as descriptive
20 c. Names as referential
15 d. Singular terms
13 e. Empty names
6 f. Names eliminated
4 2. Descriptions a. Descriptions
21 b. Definite descriptions
22 c. Theory of definite descriptions
5 3. Property (λ-) Abstraction
G. Quantification
21 1. Quantification
16 2. Domain of Quantification
9 3. Objectual Quantification
22 4. Substitutional Quantification
11 5. Second-Order Quantification
25 6. Plural Quantification
9 7. Unorthodox Quantification
H. Proof Systems
4 1. Proof Systems
6 2. Axiomatic Proof
7 3. Proof from Assumptions
13 4. Natural Deduction
8 5. Tableau Proof
5 6. Sequent Calculi
I. Semantics of Logic
21 1. Semantics of Logic
6 2. Formal Truth
23 3. Logical Truth
12 4. Satisfaction
4 5. Extensionalism
4 6. Intensionalism
J. Model Theory in Logic
34 1. Logical Models
13 2. Isomorphisms
24 3. Löwenheim-Skolem Theorems
K. Features of Logics
30 1. Axiomatisation
10 2. Consistency
12 3. Soundness
14 4. Completeness
10 5. Incompleteness
17 6. Compactness
7 7. Decidability
10 8. Enumerability
2 9. Expressibility
6 10. Monotonicity
L. Paradox
5 1. Paradox
20 2. Aporiai
7 3. Antinomies
7 4. Paradoxes in Logic a. Achilles paradox
1 b. König's paradox
4 c. Berry's paradox
1 d. Richard's paradox
2 e. The Lottery paradox
4 5. Paradoxes in Set Theory a. Set theory paradoxes
1 b. Cantor's paradox
4 c. Burali-Forti's paradox
5 d. Russell's paradox
2 e. Mirimanoff's paradox
16 6. Paradoxes in Language a. The Liar paradox
5 b. The Heap paradox ('Sorites')
2 c. Grelling's paradox
1 d. The Preface paradox
2 7. Paradoxes of Time

1136 6. Mathematics
936 7. Existence
823 8. Modes of Existence
1471 9. Objects
766 10. Modality
391 11. Knowledge Aims
621 12. Knowledge Sources
583 13. Knowledge Criteria
624 14. Science
469 15. Nature of Minds
409 16. Persons
472 17. Mind and Body
693 18. Thought
763 19. Language
208 20. Action
191 21. Aesthetics
711 22. Metaethics
794 23. Ethics
169 24. Applied Ethics
841 25. Society
1003 26. Natural Theory
391 27. Natural Reality
398 28. God
245 29. Religion