Difference between revisions of "Template:Mathematical logic"
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imported>Hyacinth (*{{tl|Set theory}}) |
imported>Biogeographist (removed red link) |
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{{Navbox | {{Navbox | ||
| name = Mathematical logic | | name = Mathematical logic | ||
| − | |||
| title = [[Mathematical logic]] | | title = [[Mathematical logic]] | ||
| + | | state = {{{state<includeonly>|autocollapse</includeonly>}}} | ||
| listclass = hlist | | listclass = hlist | ||
| image= | | image= | ||
| − | | | + | | group0 = General |
| − | | | + | | list0 = |
* [[Formal language]] | * [[Formal language]] | ||
* [[Formation rule]] | * [[Formation rule]] | ||
| − | |||
| − | |||
* [[Formal proof]] | * [[Formal proof]] | ||
* [[Formal semantics (logic)|Formal semantics]] | * [[Formal semantics (logic)|Formal semantics]] | ||
| Line 20: | Line 18: | ||
* [[Classical logic]] | * [[Classical logic]] | ||
* [[Axiom]] | * [[Axiom]] | ||
| − | |||
* [[Rule of inference]] | * [[Rule of inference]] | ||
* [[Finitary relation|Relation]] | * [[Finitary relation|Relation]] | ||
* [[Theorem]] | * [[Theorem]] | ||
* [[Logical consequence]] | * [[Logical consequence]] | ||
| − | |||
* [[Type theory]] | * [[Type theory]] | ||
* [[Symbol (formal)|Symbol]] | * [[Symbol (formal)|Symbol]] | ||
* [[Syntax (logic)|Syntax]] | * [[Syntax (logic)|Syntax]] | ||
* [[Theory (mathematical logic)|Theory]] | * [[Theory (mathematical logic)|Theory]] | ||
| + | |||
| + | | group1= Systems | ||
| + | | list1 = | ||
| + | * [[Formal system]] | ||
| + | * [[Deductive system]] | ||
| + | * [[Axiomatic system]] | ||
| + | * [[Hilbert system|Hilbert style systems]] | ||
| + | * [[Natural deduction]] | ||
| + | * [[Sequent calculus]] | ||
| group2 = [[Term logic|Traditional logic]] | | group2 = [[Term logic|Traditional logic]] | ||
| Line 36: | Line 41: | ||
* [[Inference]] | * [[Inference]] | ||
* [[Argument]] | * [[Argument]] | ||
| − | * [[Validity | + | * [[Validity (logic)|Validity]] |
| − | |||
* [[Syllogism]] | * [[Syllogism]] | ||
* [[Square of opposition]] | * [[Square of opposition]] | ||
* [[Venn diagram]] | * [[Venn diagram]] | ||
| − | | group3 = {{longitem|[[Propositional calculus|Propositional | + | | group3 = {{longitem|[[Propositional calculus|Propositional calculus]]<br/>and [[Boolean algebra|Boolean logic]]}} |
| list3 = | | list3 = | ||
* [[Boolean function]]s | * [[Boolean function]]s | ||
| Line 49: | Line 53: | ||
* [[Logical connective]]s | * [[Logical connective]]s | ||
* [[Truth table]]s | * [[Truth table]]s | ||
| + | * [[Many-valued logic]] | ||
| group4 = [[Predicate logic]] | | group4 = [[Predicate logic]] | ||
| Line 58: | Line 63: | ||
* [[Monadic predicate calculus]] | * [[Monadic predicate calculus]] | ||
| − | | group5 = [[ | + | | group5 = [[Naive set theory]] |
| list5 = | | list5 = | ||
* [[Set (mathematics)|Set]] | * [[Set (mathematics)|Set]] | ||
* [[Empty set]] | * [[Empty set]] | ||
| + | * [[Element (mathematics)|Element]] | ||
* [[Enumeration]] | * [[Enumeration]] | ||
* [[Extensionality]] | * [[Extensionality]] | ||
* [[Finite set]] | * [[Finite set]] | ||
| − | * [[ | + | * [[Infinite set]] |
* [[Subset]] | * [[Subset]] | ||
* [[Power set]] | * [[Power set]] | ||
* [[Countable set]] | * [[Countable set]] | ||
| + | * [[Uncountable set]] | ||
* [[Recursive set]] | * [[Recursive set]] | ||
* [[Domain of a function|Domain]] | * [[Domain of a function|Domain]] | ||
| − | * [[ | + | * [[Codomain]] |
| + | * [[Image (mathematics)|Image]] | ||
| + | * [[Map (mathematics)|Map]] | ||
| + | * [[Function (mathematics)|Function]] | ||
| + | * [[Binary operation|Relation]] | ||
* [[Ordered pair]] | * [[Ordered pair]] | ||
| − | |||
| − | | group6 = [[ | + | | group6 = [[Set theory]] |
| list6 = | | list6 = | ||
| + | * [[Foundations of mathematics]] | ||
| + | * [[Zermelo–Fraenkel set theory]] | ||
| + | * [[Axiom of choice]] | ||
| + | * [[General set theory]] | ||
| + | * [[Kripke–Platek set theory]] | ||
| + | * [[Von Neumann–Bernays–Gödel set theory]] | ||
| + | * [[Morse–Kelley set theory]] | ||
| + | * [[Tarski–Grothendieck set theory]] | ||
| + | |||
| + | | group7 = [[Model theory]] | ||
| + | | list7 = | ||
* [[Structure (mathematical logic)|Model]] | * [[Structure (mathematical logic)|Model]] | ||
* [[Interpretation (logic)|Interpretation]] | * [[Interpretation (logic)|Interpretation]] | ||
| Line 82: | Line 103: | ||
* [[Finite model theory]] | * [[Finite model theory]] | ||
* [[Truth value]] | * [[Truth value]] | ||
| − | * [[Validity]] | + | * [[Validity (logic)|Validity]] |
| − | | | + | | group8 = [[Proof theory]] |
| − | | | + | | list8 = |
* [[Formal proof]] | * [[Formal proof]] | ||
* [[Deductive system]] | * [[Deductive system]] | ||
| Line 94: | Line 115: | ||
* [[Syntax (logic)|Syntax]] | * [[Syntax (logic)|Syntax]] | ||
| − | | | + | | group9 = [[Computability theory|Computability <br/>theory]] |
| − | | | + | | list9 = |
* [[Recursion]] | * [[Recursion]] | ||
* [[Recursive set]] | * [[Recursive set]] | ||
| Line 110: | Line 131: | ||
==See also== | ==See also== | ||
| − | |||
| − | |||
*{{tl|Set theory}} | *{{tl|Set theory}} | ||
| + | {{Logic templates}} | ||
[[Category:Mathematics navigational boxes]] | [[Category:Mathematics navigational boxes]] | ||
| + | [[Category:Philosophy and thinking navigational boxes]] | ||
}} | }} | ||
</noinclude> | </noinclude> | ||
Latest revision as of 12:28, 24 April 2020
File:Test Template Info-Icon - Version (2).svg Template documentation
Initial visibility: currently defaults to autocollapse
To set this template's initial visibility, the |state= parameter may be used:
|state=collapsed:{{Mathematical logic|state=collapsed}}to show the template collapsed, i.e., hidden apart from its title bar|state=expanded:{{Mathematical logic|state=expanded}}to show the template expanded, i.e., fully visible|state=autocollapse:{{Mathematical logic|state=autocollapse}}
If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to autocollapse.
See also
- {{Set theory}}
| Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages. Subpages of this template. |