# Set theory: Trending topics

The following are the current most viewed articles on Wikipedia within Wikipedia's Set theory category. Think of it as a What's Hot list for Set theory. More info »

This is a beta release and so the figures may be a day or two out of date. We'd love to get your thoughts.

Rank Topic Wikipedia views
1 Set theory 2,742
2 Set (mathematics) 2,232
3 Cantor's diagonal argument 691
4 Total order 509
5 Naive set theory 422
6 Support (mathematics) 406
7 Multiplicity (mathematics) 314
8 Set-builder notation 303
9 Class (set theory) 265
10 Cantor's theorem 249
11 Set notation 244
12 Cardinality of the continuum 198
13 Mathematical structure 173
14 Goodstein's theorem 139
15 Controversy over Cantor's theory 120
16 Cantor's first uncountability proof 94
17 Extensionality 92
18 Almost 91
19 List of set theory topics 81
20 Paradoxes of set theory 74
21 Definable real number 73
22 Primitive notion 66
23 Transitive set 64
24 Continuum (set theory) 58
25 List of statements undecidable in ZFC 57
26 Reflection principle 57
27 Ordinal arithmetic 51
28 Tree (set theory) 48
29 Metamath 42
30 Hume's principle 39
31 Diamond principle 39
32 Set-theoretic topology 39
33 Ideal (set theory) 38
34 Equaliser (mathematics) 37
35 Solovay model 36
36 Stationary set 35
37 Fiber (mathematics) 35
38 Stratification (mathematics) 34
39 Hereditary set 33
40 Transitive reduction 31
41 Cofinality 30
42 Near sets 29
43 Infinitary combinatorics 27
44 Morass (set theory) 27
45 Vicious circle principle 26
46 Hereditarily finite set 25
47 Limit cardinal 25
48 Successor cardinal 24
49 Quasi-set theory 24
50 Pairing function 23
51 PCF theory 23
52 Diagonal intersection 23
53 Kuratowski's free set theorem 23
54 Ontological maximalism 22
55 Ω-logic 21
56 Normal function 19
57 Club set 17
58 Easton's theorem 17
59 Admissible set 17
60 Paradoxical set 17
61 Information diagram 17
62 Hartogs number 16
63 Ordinal definable set 16
64 Jónsson function 16
65 Scott's trick 16
66 Cardinal assignment 13
67 Continuous function (set theory) 13
68 Tail sequence 12
69 Recursive ordinal 11
70 Cabal (set theory) 10
71 Inductive set (axiom of infinity) 10
72 Suslin representation 9
74 Separating set 8
75 Set-theoretic limit 7
76 Clubsuit 7
77 N-set 7
78 Fodor's lemma 7
79 Uniformization (set theory) 7
80 Global square 7
81 Set theory of the real line 7
82 Hereditarily countable set 7
83 Dimensional operator 7
84 Chang's conjecture 7
85 Club filter 6
86 Categorical set theory 6
87 Preordered class 6
88 Diaconescu's theorem less than 5 views
89 Mengenlehreuhr less than 5 views
90 Superstrong cardinal less than 5 views
91 Statements undecidable in ZFC less than 5 views
92 Set theory topics less than 5 views
93 Delta lemma less than 5 views
94 Exceptional set concepts less than 5 views
95 Code (set theory) less than 5 views
96 Laver function less than 5 views
97 Condensation lemma less than 5 views
98 Jensen's covering theorem less than 5 views
99 Soft set less than 5 views

# Encyclopedia

The main article for this category is Set theory.

Set theory is any of a number of subtly different things in mathematics:

• Naive set theory is the original set theory developed by mathematicians at the end of the 19th century, treating sets simply as collections of things.
• Axiomatic set theory is a rigorous axiomatic theory developed in response to the discovery of serious flaws (such as Russell's paradox) in naive set theory. It treats sets as "whatever satisfies the axioms", and the notion of collections of things serves only as motivation for the axioms.
• Internal set theory is an axiomatic extension of set theory that supports a logically consistent identification of illimited (enormously large) and infinitesimal elements within the real numbers.
• Various versions of logic have associated sorts of sets (such as fuzzy sets in fuzzy logic).

## Subcategories

This category has the following 17 subcategories, out of 17 total.

## Pages in category "Set theory"

The following 108 pages are in this category, out of 108 total. This list may not reflect recent changes (learn more).

# Wiktionary

Up to date as of January 15, 2010

### Definition from Wiktionary, a free dictionary

Articles on this topic in other Wikimedia projects can be found at: Wikimedia Commons Category Set theory
Wikipedia has a category on:

Wikipedia

The following is a list of words related to set theory.

## Subcategories

This category has the following 8 subcategories, out of 8 total.

## Entries in category “Set theory”

The following 76 pages are in this category, out of 76 total.