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List of mathematical logic topics : ウィキペディア英語版
List of mathematical logic topics
This is a list of mathematical logic topics, by Wikipedia page.
For traditional syllogistic logic, see the
list of topics in logic
. See also the
list of computability and complexity topics
for more theory of
algorithm
s.
==Working foundations==
*
Peano axioms
*
*
Giuseppe Peano
*
Mathematical induction
*
*
Structural induction
*
*
Recursive definition
*
Naive set theory
*
*
Element (mathematics)
*
*
*
Ur-element
*
*
Singleton (mathematics)
*
*
Simple theorems in the algebra of sets
*
*
Algebra of sets
*
*
Power set
*
*
Empty set
*
*
Non-empty set
*
*
Empty function
*
Universe (mathematics)
*
Axiomatization
*
Axiomatic system
*
*
Axiom schema
*
Axiomatic method
*
Formal system
*
Mathematical proof
*
*
Direct proof
*
*
Reductio ad absurdum
*
*
Proof by exhaustion
*
*
Constructive proof
*
*
Nonconstructive proof
*
Tautology
*
Consistency proof
*
Arithmetization of analysis
*
Foundations of mathematics
*
Formal language
*''
Principia Mathematica
''
*
Hilbert's program
*
Impredicative
*
Definable real number
*
Algebraic logic
*
*
Boolean algebra (logic)
*
Dialectica space
*
categorical logic
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