Difference between revisions of "Template:Mathematical logic"
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imported>Sardanaphalus (category) |
imported>Edokter (Normalize) |
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{{Navbox | {{Navbox | ||
| name = Mathematical logic | | name = Mathematical logic | ||
| − | | state = {{{state| | + | | state = {{{state|autocollapse}}} |
| title = [[Mathematical logic]] | | title = [[Mathematical logic]] | ||
| listclass = hlist | | listclass = hlist | ||
| + | | image= | ||
| − | | group1 = General | + | | group1 = General |
| − | | list1 = | + | | list1 = |
| − | + | * [[Formal language]] | |
| − | + | * [[Formation rule]] | |
| + | * [[Formal system]] | ||
| + | * [[Deductive system]] | ||
| + | * [[Formal proof]] | ||
| + | * [[Formal semantics (logic)|Formal semantics]] | ||
| + | * [[Well-formed formula]] | ||
| + | * [[Set (mathematics)|Set]] | ||
| + | * [[Element (mathematics)|Element]] | ||
| + | * [[Class (set theory)|Class]] | ||
| + | * [[Classical logic]] | ||
* [[Axiom]] | * [[Axiom]] | ||
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* [[Natural deduction]] | * [[Natural deduction]] | ||
| + | * [[Rule of inference]] | ||
* [[Finitary relation|Relation]] | * [[Finitary relation|Relation]] | ||
| − | * [[ | + | * [[Theorem]] |
| − | * [[ | + | * [[Logical consequence]] |
| + | * [[Axiomatic system]] | ||
| + | * [[Type theory]] | ||
* [[Symbol (formal)|Symbol]] | * [[Symbol (formal)|Symbol]] | ||
* [[Syntax (logic)|Syntax]] | * [[Syntax (logic)|Syntax]] | ||
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* [[Theory (mathematical logic)|Theory]] | * [[Theory (mathematical logic)|Theory]] | ||
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| − | + | | group2 = [[Term logic|Traditional logic]] | |
| − | + | | list2 = | |
| − | |||
| − | | | ||
* [[Proposition]] | * [[Proposition]] | ||
* [[Inference]] | * [[Inference]] | ||
| Line 48: | Line 42: | ||
* [[Venn diagram]] | * [[Venn diagram]] | ||
| − | | | + | | group3 = {{longitem|[[Propositional calculus|Propositional <br/>calculus]]<br/>[[Boolean algebra|Boolean logic]]}} |
| − | | | + | | list3 = |
* [[Boolean function]]s | * [[Boolean function]]s | ||
| + | * [[Propositional calculus]] | ||
* [[Propositional formula]] | * [[Propositional formula]] | ||
* [[Logical connective]]s | * [[Logical connective]]s | ||
* [[Truth table]]s | * [[Truth table]]s | ||
| − | | | + | | group4 = [[Predicate logic]] |
| − | | | + | | list4 = |
* [[First-order logic|First-order]] | * [[First-order logic|First-order]] | ||
* [[Quantifier (logic)|Quantifiers]] | * [[Quantifier (logic)|Quantifiers]] | ||
| Line 63: | Line 58: | ||
* [[Monadic predicate calculus]] | * [[Monadic predicate calculus]] | ||
| − | + | | group5 = [[Naive set theory]] | |
| − | | | + | | list5 = |
| − | + | * [[Set (mathematics)|Set]] | |
| − | + | * [[Empty set]] | |
| − | |||
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| − | * [[ | ||
* [[Enumeration]] | * [[Enumeration]] | ||
* [[Extensionality]] | * [[Extensionality]] | ||
| + | * [[Finite set]] | ||
| + | * [[Infinite set]] | ||
| + | * [[Subset]] | ||
| + | * [[Power set]] | ||
| + | * [[Countable set]] | ||
| + | * [[Uncountable set]] | ||
| + | * [[Recursive set]] | ||
| + | * [[Domain of a function|Domain]] | ||
| + | * [[Range (mathematics)|Range]] | ||
| + | * [[Map (mathematics)|Map]] | ||
* [[Function (mathematics)|Function]] | * [[Function (mathematics)|Function]] | ||
| − | * [[ | + | * [[Binary operation|Relation]] |
* [[Ordered pair]] | * [[Ordered pair]] | ||
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| − | + | | group6 = [[Set theory]] | |
| − | + | | list6 = | |
| − | + | * [[Foundations of mathematics]] | |
| − | + | * [[Zermelo–Fraenkel set theory]] | |
* [[Axiom of choice]] | * [[Axiom of choice]] | ||
| − | + | * [[General set theory]] | |
| − | + | * [[Kripke–Platek set theory]] | |
| − | + | * [[Von Neumann–Bernays–Gödel set theory]] | |
| − | + | * [[Morse–Kelley set theory]] | |
| − | * [[ | + | * [[Tarski–Grothendieck set theory]] |
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| − | | | + | | group7 = [[Model theory]] |
| − | | | + | | list7 = |
* [[Structure (mathematical logic)|Model]] | * [[Structure (mathematical logic)|Model]] | ||
* [[Interpretation (logic)|Interpretation]] | * [[Interpretation (logic)|Interpretation]] | ||
| Line 120: | Line 98: | ||
* [[Validity]] | * [[Validity]] | ||
| − | | | + | | group8 = [[Proof theory]] |
| − | | | + | | list8 = |
* [[Formal proof]] | * [[Formal proof]] | ||
* [[Deductive system]] | * [[Deductive system]] | ||
| Line 130: | Line 108: | ||
* [[Syntax (logic)|Syntax]] | * [[Syntax (logic)|Syntax]] | ||
| − | | | + | | group9 = [[Computability theory|Computability <br/>theory]] |
| − | | | + | | list9 = |
* [[Recursion]] | * [[Recursion]] | ||
* [[Recursive set]] | * [[Recursive set]] | ||
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* [[Primitive recursive function]] | * [[Primitive recursive function]] | ||
| − | | below = | + | <!--| below = ...--> |
| − | |||
}}<noinclude> | }}<noinclude> | ||
| − | {{ | + | {{documentation|content= |
| − | + | {{collapsible option}} | |
| − | {{ | ||
| + | ==See also== | ||
| + | *{{tl|Set theory}} | ||
{{Logic templates}} | {{Logic templates}} | ||
[[Category:Mathematics navigational boxes]] | [[Category:Mathematics navigational boxes]] | ||
| − | [[Category: | + | [[Category:Philosophy and thinking navigational boxes]] |
| − | }} | + | |
| + | }} | ||
</noinclude> | </noinclude> | ||
Revision as of 08:22, 3 March 2015
File:Test Template Info-Icon - Version (2).svg Template documentation
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See also
- {{Set theory}}
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