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Expansion for Theory of Logic

1058 1. Philosophy
633 2. Reason
629 3. Truth
784 4. Formal Logic

1243 5. Theory of Logic
A. Overview of Logic
34 1. Overview of Logic
15 2. History of Logic
23 3. Value of Logic
18 4. Pure Logic
23 5. First-Order Logic
27 6. Classical Logic
33 7. Second-Order Logic
8 8. Logic of Mathematics
2 9. Philosophical Logic
B. Logical Consequence
28 1. Logical Consequence
6 2. Types of Consequence
7 3. Deductive Consequence |-
16 4. Semantic Consequence |=
9 5. Modus Ponens
2 6. Entailment
5 7. Strict Implication
7 8. Material Implication
C. Ontology of Logic
22 1. Ontology of Logic
5 2. Platonism in Logic
13 3. If-Thenism
8 4. Logic by Convention
D. Assumptions for Logic
18 1. Bivalence
28 2. Excluded Middle
5 3. Contradiction
16 4. Identity in Logic
E. Structures of Logic
36 1. Logical Form
31 2. Logical Connectives a. Logical connectives
3 b. Basic connectives
13 c. not
7 d. and
8 e. or
2 3. Constants in Logic
19 4. Variables in Logic
13 5. Functions in Logic
11 6. Relations in Logic
6 7. Predicates in Logic
9 8. Theories in Logic
F. Referring in Logic
32 1. Naming a. Names
33 b. Names as descriptive
22 c. Names as referential
16 d. Singular terms
13 e. Empty names
6 f. Names eliminated
4 2. Descriptions a. Descriptions
21 b. Definite descriptions
25 c. Theory of definite descriptions
5 3. Property (λ-) Abstraction
G. Quantification
23 1. Quantification
16 2. Domain of Quantification
9 3. Objectual Quantification
23 4. Substitutional Quantification
11 5. Second-Order Quantification
24 6. Plural Quantification
9 7. Unorthodox Quantification
H. Proof Systems
4 1. Proof Systems
7 2. Axiomatic Proof
7 3. Proof from Assumptions
14 4. Natural Deduction
8 5. Tableau Proof
5 6. Sequent Calculi
I. Semantics of Logic
23 1. Semantics of Logic
6 2. Formal Truth
24 3. Logical Truth
12 4. Satisfaction
5 5. Extensionalism
4 6. Intensionalism
J. Model Theory in Logic
35 1. Logical Models
13 2. Isomorphisms
24 3. Löwenheim-Skolem Theorems
K. Features of Logics
31 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
21 2. Aporiai
9 3. Antinomies
9 4. Paradoxes in Logic a. Achilles paradox
1 b. König's paradox
4 c. Berry's paradox
2 d. Richard's paradox
2 e. The Lottery paradox
4 5. Paradoxes in Set Theory a. Set theory paradoxes
2 b. Cantor's paradox
5 c. Burali-Forti's paradox
7 d. Russell's paradox
2 e. Mirimanoff's paradox
19 6. Paradoxes in Language a. The Liar paradox
6 b. The Heap paradox ('Sorites')
2 c. Grelling's paradox
1 d. The Preface paradox
3 7. Paradoxes of Time

1191 6. Mathematics
1049 7. Existence
897 8. Modes of Existence
1529 9. Objects
800 10. Modality
489 11. Knowledge Aims
716 12. Knowledge Sources
635 13. Knowledge Criteria
679 14. Science
552 15. Nature of Minds
496 16. Persons
495 17. Mind and Body
860 18. Thought
835 19. Language
323 20. Action
272 21. Aesthetics
985 22. Metaethics
999 23. Ethics
941 24. Political Theory
767 25. Social Practice
998 26. Natural Theory
726 27. Natural Reality
429 28. God
309 29. Religion