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Expansion for Mathematics

909 1. Philosophy
553 2. Reason
578 3. Truth
768 4. Formal Logic
1184 5. Theory of Logic

1146 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
18 b. Type theory
13 c. Neo-logicism
36 d. Logicism critique
21 7. Formalism
5 8. Finitism
10 9. Fictional Mathematics
16 10. Constructivism a. Constructivism
18 b. Intuitionism
8 c. Conceptualism
19 d. Predicativism
3 e. Psychologism

937 7. Existence
846 8. Modes of Existence
1493 9. Objects
771 10. Modality
399 11. Knowledge Aims
636 12. Knowledge Sources
602 13. Knowledge Criteria
629 14. Science
473 15. Nature of Minds
424 16. Persons
474 17. Mind and Body
713 18. Thought
767 19. Language
210 20. Action
196 21. Aesthetics
725 22. Metaethics
824 23. Ethics
179 24. Applied Ethics
986 25. Society
934 26. Natural Theory
585 27. Natural Reality
393 28. God
268 29. Religion