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Wikipedia:WikiProject Mathematics/Wikipedia 1.0/Foundations, logic, and set theory

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This page lists articles that have been assigned to the field Foundations, logic, and set theory using the {{maths rating}} template. To include articles on this page, use the following wiki code (in which newlines are optional).

{{maths rating
  |class = quality grading (FA, A, GA, Bplus, B, Start, or Stub)
  |importance = priority level (Top, High, Mid, or Low)
  |field = Foundations
}}

Description

This field is for articles which on foundational aspects of mathematics, including:

mathematical logic, model theory, set theory, some general topology and category theory.

Some articles in these areas might instead be rated under algebra or topology, depending on their content. This field does not include articles on elementary set theory or arithmetic, which are rated under basics.

Foundations, logic, and set theory article ratings
Priority Quality
Featured article FA A-Class article A Good article GA A-BB+ B Start Stub UA Total
Top 0 0 0 3 11 5 0 0 19
High 0 0 1 3 20 33 4 0 61
Mid 0 1 0 7 42 87 43 0 180
Low 0 0 0 1 15 72 100 0 188
UA 0 0 0 0 0 0 0 0 0
Total 0 1 1 14 88 199 147 0 450
Last updated: Tue Jan 6 01:20:02 UTC 2009

The articles in this field are sorted by importance (or priority) and listed in the tables below. These tables are updated automatically by VeblenBot.

Foundations, logic, and set theory articles by priority
Top-Priority High-Priority Mid-Priority Low-Priority Unassessed priority

Top-Priority

Article Grade Comments
  Category theory (talk) A-BB+
  Logic (talk) A-BB+
  Mathematical induction (talk) A-BB+
  Axiom of choice (talk) B
  Boolean algebra (logic) (talk) B
  Category (mathematics) (talk) B
  Computable function (talk) B
  Equivalence relation (talk) B
  Gödel's incompleteness theorems (talk) B
  Mathematical logic (talk) B
  Propositional calculus (talk) B
  Russell's paradox (talk) B
  Set (mathematics) (talk) B
  Set theory (talk) B
  Commutative diagram (talk) Start
  Conjecture (talk) Start
  Foundations of mathematics (talk) Start
  Function composition (talk) Start
  Mathematical proof (talk) Start
Last updated: Tue Jan 6 01:20:02 UTC 2009

High-Priority

Article Grade Comments
  Ordinal number (talk) A-Good article GA
  Constructible universe (talk) A-BB+
  Fibred category (talk) A-BB+
  Turing machine (talk) A-BB+
  Adjoint functors (talk) B
  Axiomatic set theory (talk) B
  Cantor's diagonal argument (talk) B
  Cantor's theorem (talk) B
  Cardinal number (talk) B
  Cardinality of the continuum (talk) B
  Cofinality (talk) B
  Complete lattice (talk) B
  Continuum hypothesis (talk) B
  Epimorphism (talk) B
  First-order logic (talk) B
  Functor (talk) B
  Hom functor (talk) B
  Inverse function (talk) B
  Lattice (order) (talk) B
  Löwenheim–Skolem theorem (talk) B
  Morphism (talk) B
  Proof theory (talk) B
  Structure (mathematical logic) (talk) B
  Well-order (talk) B
  Aleph number (talk) Start
  Axiom (talk) Start
  Bijection (talk) Start
  Cardinality (talk) Start
  Cartesian closed category (talk) Start
  Church–Turing thesis (talk) Start
  Closure (mathematics) (talk) Start
  Completeness (talk) Start
  Countable set (talk) Start
  Descriptive set theory (talk) Start
  Determinacy (talk) Start
  Equality (mathematics) (talk) Start
  Equivalence class (talk) Start
  Gödel number (talk) Start
  Indicator function (talk) Start
  Intersection (set theory) (talk) Start
  Intuitionistic logic (talk) Start
  Kleene's recursion theorem (talk) Start
  Large cardinal property (talk) Start
  Logical conjunction (talk) Start
  Metamathematics (talk) Start
  Naive set theory (talk) Start
  Natural transformation (talk) Start
  Negation (talk) Start
  Partially ordered set (talk) Start
  Partition of a set (talk) Start
  Relation (mathematics) (talk) Start
  Subset (talk) Start
  Topos (talk) Start
  Transfinite induction (talk) Start
  Universal property (talk) Start
  Zermelo–Fraenkel set theory (talk) Start
  Zorn's lemma (talk) Start
  Formal proof (talk) Stub
  Power set (talk) Stub
  Set-theoretic topology (talk) Stub
  Soundness (talk) Stub
Last updated: Tue Jan 6 01:20:02 UTC 2009

Mid-Priority

Article Grade Comments
  Peano axioms (talk) A-Class article A
  Allegory (category theory) (talk) A-BB+
  Boolean algebra (structure) (talk) A-BB+
  Implementation of mathematics in set theory (talk) A-BB+
  Kolmogorov complexity (talk) A-BB+
  Method of analytic tableaux (talk) A-BB+
  Second-order logic (talk) A-BB+
  Turing degree (talk) A-BB+
  Abelian category (talk) B
  Analytical hierarchy (talk) B
  Arithmetical hierarchy (talk) B
  Axiom schema of replacement (talk) B
  Banach–Tarski paradox (talk) B
  Binary relation (talk)