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Expansion for Mathematics

1051 1. Philosophy
623 2. Reason
626 3. Truth
784 4. Formal Logic
1242 5. Theory of Logic
1188 6. Mathematics
A. Nature of Mathematics
30 1. Mathematics
31 2. Geometry
26 3. Nature of Numbers a. Numbers
25 b. Types of number
19 c. Priority of numbers
6 d. Natural numbers
30 e. Ordinal numbers
8 f. Cardinal numbers
29 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 4. Using Numbers a. Units
4 b. Quantity
32 c. Counting procedure
12 d. Counting via concepts
8 e. Counting by correlation
10 f. Arithmetic
11 g. Applying mathematics
26 5. The Infinite a. The Infinite
3 b. Mark of the infinite
5 c. Potential infinite
11 d. Actual infinite
1 e. Countable infinity
5 f. Uncountable infinities
15 g. Continuum Hypothesis
9 h. Ordinal infinity
10 i. Cardinal infinity
6 j. Infinite divisibility
9 k. Infinitesimals
6 l. Limits
B. Foundations for Mathematics
15 1. Foundations for Mathematics
7 2. Proof in Mathematics
21 3. Axioms for Geometry
20 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
21 g. Incompleteness of Arithmetic
3 5. Definitions of Number a. Defining numbers
10 b. Greek arithmetic
46 c. Fregean numbers
19 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
14 b. Mathematics is not set theory
34 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
34 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
19 c. Against mathematical empiricism
14 5. Numbers as Adjectival
33 6. Logicism a. Early logicism
23 b. Type theory
15 c. Neo-logicism
40 d. Logicism critique
24 7. Formalism
5 8. Finitism
11 9. Fictional Mathematics
16 10. Constructivism a. Constructivism
18 b. Intuitionism
8 c. Conceptualism
19 d. Predicativism
3 e. Psychologism
1041 7. Existence
881 8. Modes of Existence
1528 9. Objects
799 10. Modality
484 11. Knowledge Aims
711 12. Knowledge Sources
633 13. Knowledge Criteria
674 14. Science
546 15. Nature of Minds
492 16. Persons
495 17. Mind and Body
857 18. Thought
835 19. Language
312 20. Action
264 21. Aesthetics
960 22. Metaethics
987 23. Ethics
912 24. Political Theory
750 25. Social Practice
992 26. Natural Theory
713 27. Natural Reality
428 28. God
296 29. Religion