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Expansion for Mathematics

852 1. Philosophy
527 2. Reason
566 3. Truth
761 4. Formal Logic
1160 5. Theory of Logic

1135 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
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

920 7. Existence
821 8. Modes of Existence
1469 9. Objects
761 10. Modality
383 11. Knowledge Aims
605 12. Knowledge Sources
573 13. Knowledge Criteria
619 14. Science
462 15. Nature of Minds
394 16. Persons
467 17. Mind and Body
690 18. Thought
757 19. Language
206 20. Action
190 21. Aesthetics
686 22. Metaethics
758 23. Ethics
153 24. Applied Ethics
666 25. Society
988 26. Natural Theory
353 27. Natural Reality
379 28. God
224 29. Religion