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Expansion for Mathematics

874 1. Philosophy
537 2. Reason
571 3. Truth
763 4. Formal Logic
1161 5. Theory of Logic

1136 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
21 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
10 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

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