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Expansion for Mathematics

900 1. Philosophy
550 2. Reason
576 3. Truth
763 4. Formal Logic
1166 5. Theory of Logic

1139 6. Mathematics
A. Nature of Mathematics
30 1. Mathematics
31 2. Geometry
23 3. Nature of 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
19 4. Using Numbers a. Units
4 b. Quantity
29 c. Counting procedure
12 d. Counting via concepts
8 e. Counting by correlation
9 f. Arithmetic
10 g. Applying mathematics
26 5. 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
10 i. Cardinal infinity
5 j. Infinite divisibility
9 k. Infinitesimals
5 l. Limits
B. Foundations for Mathematics
15 1. Foundations for Mathematics
7 2. Proof in Mathematics
20 3. Axioms for Geometry
19 4. 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 5. 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 6. Mathematics as Set Theory a. Mathematics is set theory
13 b. Mathematics is not set theory
33 7. 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

926 7. Existence
839 8. Modes of Existence
1474 9. Objects
768 10. Modality
403 11. Knowledge Aims
631 12. Knowledge Sources
584 13. Knowledge Criteria
627 14. Science
472 15. Nature of Minds
424 16. Persons
474 17. Mind and Body
696 18. Thought
765 19. Language
210 20. Action
197 21. Aesthetics
726 22. Metaethics
824 23. Ethics
179 24. Applied Ethics
973 25. Society
934 26. Natural Theory
584 27. Natural Reality
393 28. God
267 29. Religion