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Expansion for Formal Logic

828 1. Philosophy
523 2. Reason
561 3. Truth

762 4. Formal Logic
A. Syllogistic Logic
11 1. Aristotelian Logic
13 2. Syllogistic Logic
5 3. Term Logic
B. Propositional Logic PL
12 1. Propositional Logic
9 2. Tools of Propositional Logic a. Symbols of PL
16 b. Terminology of PL
14 c. Derivation rules of PL
18 d. Basic theorems of PL
17 e. Axioms of PL
9 3. Truth Tables
2 4. Soundness of PL
1 5. Completeness of PL
C. Predicate Calculus PC
2 1. Predicate Calculus PC
4 2. Tools of Predicate Calculus a. Symbols of PC
1 b. Terminology of PC
6 c. Derivations rules of PC
4 d. Universal quantifier ∀
4 e. Existential quantifier ∃
1 3. Completeness of PC
D. Modal Logic ML
18 1. Modal Logic
4 2. Tools of Modal Logic a. Symbols of ML
6 b. Terminology of ML
15 c. Derivation rules of ML
6 3. Modal Logic Systems a. Systems of modal logic
2 b. System K
6 c. System D
4 d. System T
1 e. System K4
5 f. System B
7 g. System S4
18 h. System S5
11 4. Alethic Modal Logic
3 5. Epistemic Logic
3 6. Temporal Logic
25 7. Barcan Formula
E. Nonclassical Logics
2 1. Nonclassical Logics
15 2. Intuitionist Logic
6 3. Many-Valued Logic
4 4. Fuzzy Logic
8 5. Relevant Logic
8 6. Free Logic
5 7. Paraconsistency
3 8. Intensional Logic
1 9. Awareness Logic
1 10. Justification Logics
1 11. Dynamic Logics
6 12. Non-Monotonic Logic
F. Set Theory ST
30 1. Set Theory
19 2. Mechanics of Set Theory a. Symbols of ST
40 b. Terminology of ST
4 c. Basic theorems of ST
4 3. Types of Set a. Types of set
29 b. Empty (Null) Set
12 c. Unit (Singleton) Set
10 d. Infinite Sets
7 e. Equivalence classes
33 4. Axioms for Sets a. Axioms for sets
9 b. Axiom of Extensionality I
5 c. Axiom of Pairing II
3 d. Axiom of Unions III
1 e. Axiom of the Empty Set IV
12 f. Axiom of Infinity V
5 g. Axiom of Powers VI
5 h. Axiom of Replacement VII
6 i. Axiom of Foundation VIII
34 j. Axiom of Choice IX
2 k. Axiom of Existence
2 l. Axiom of Specification
3 m. Axiom of Separation
3 n. Axiom of Comprehension
6 o. Axiom of Constructibility V = L
6 p. Axiom of Reducibility
8 5. Conceptions of Set a. Sets as existing
1 b. Combinatorial sets
5 c. Logical sets
6 d. Na´ve logical sets
14 e. Iterative sets
7 f. Limitation of Size
10 6. Ordering in Sets
9 7. Natural Sets
23 8. Critique of Set Theory
G. Formal Mereology
23 1. Mereology
11 2. Terminology of Mereology
9 3. Axioms of Mereology
3 4. Groups

1154 5. Theory of Logic
1134 6. Mathematics
911 7. Existence
820 8. Modes of Existence
1464 9. Objects
759 10. Modality
372 11. Knowledge Aims
598 12. Knowledge Sources
561 13. Knowledge Criteria
617 14. Science
454 15. Nature of Minds
383 16. Persons
466 17. Mind and Body
685 18. Thought
767 19. Language
128 20. Action
109 21. Aesthetics
641 22. Metaethics
698 23. Ethics
148 24. Applied Ethics
569 25. Society
979 26. Natural Theory
335 27. Natural Reality
377 28. God
220 29. Religion