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Expansion for Mathematics

832 1. Philosophy
524 2. Reason
562 3. Truth
761 4. Formal Logic
1154 5. Theory of Logic

1134 6. Mathematics
A. Nature of Mathematics
30 1. Mathematics
4 2. Quantity
23 3. Numbers a. Numbers
25 b. Types of number
19 c. Priority of numbers
6 d. Natural numbers
29 e. Ordinal numbers
8 f. Cardinal numbers
28 g. Real numbers
5 h. Reals from Cauchy
11 i. Reals from cuts
2 j. Complex numbers
1 k. Imaginary numbers
7 l. Zero
7 m. One
2 n. Pi
20 o. Units
48 p. Counting
8 q. Arithmetic
26 4. The Infinite a. The Infinite
3 b. Mark of the infinite
4 c. Potential infinite
11 d. Actual infinite
1 e. Countable infinity
5 f. Uncountable infinities
15 g. Continuum Hypothesis
8 h. Ordinal infinity
5 i. Cardinal infinity
5 j. Large cardinals
5 k. Infinite divisibility
8 l. Infinitesimals
5 m. Limits
30 5. Geometry
7 6. Proof in Mathematics
9 7. Application of Mathematics
B. Foundations for Mathematics
14 1. Foundations for Mathematics
20 2. Axioms for Geometry
19 3. Axioms for Number a. Axioms for numbers
2 b. Baby arithmetic
2 c. Robinson arithmetic
25 d. Peano arithmetic
9 e. Peano arithmetic 2nd-order
10 f. Mathematical induction
20 g. Incompleteness of Arithmetic
3 4. Definitions of Number a. Defining numbers
10 b. Greek arithmetic
45 c. Fregean numbers
18 d. Hume's Principle
13 e. Caesar problem
3 f. Zermelo numbers
4 g. Von Neumann numbers
36 5. Mathematics as Set Theory a. Mathematics is set theory
13 b. Mathematics is not set theory
33 6. Mathematical Structuralism a. Structuralism
11 b. Varieties of structuralism
13 c. Nominalist structuralism
12 d. Platonist structuralism
23 e. Structuralism critique
C. Sources of Mathematics
33 1. Mathematical Platonism a. For mathematical platonism
21 b. Against mathematical platonism
11 2. Intuition of Mathematics
5 3. Mathematical Nominalism
36 4. Mathematical Empiricism a. Mathematical empiricism
17 b. Indispensability of mathematics
18 c. Against mathematical empiricism
14 5. Numbers as Adjectival
31 6. Logicism a. Early logicism
15 b. Type theory
13 c. Neo-logicism
36 d. Logicism critique
20 7. Formalism
5 8. Finitism
10 9. Fictional Mathematics
16 10. Constructivism a. Constructivism
18 b. Intuitionism
8 c. Conceptualism
16 d. Predicativism
3 e. Psychologism

913 7. Existence
820 8. Modes of Existence
1464 9. Objects
760 10. Modality
383 11. Knowledge Aims
600 12. Knowledge Sources
571 13. Knowledge Criteria
618 14. Science
460 15. Nature of Minds
387 16. Persons
467 17. Mind and Body
686 18. Thought
766 19. Language
200 20. Action
110 21. Aesthetics
680 22. Metaethics
731 23. Ethics
149 24. Applied Ethics
646 25. Society
983 26. Natural Theory
345 27. Natural Reality
377 28. God
222 29. Religion