Language/Multiple-languages/Vocabulary/Mathematical-Logic

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eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
set theory		集合论		jíhé lùn		Mengenlehre [f]		théorie [f] des ensembles		集合論		しゅうごうろん		тео́рия мно́жеств
proof theory		证明论		zhèngmíng lùn		Beweistheorie [f]		théorie [f] de la démonstration, théorie [f] de la preuve		証明論		しょうめいろん		тео́рия доказа́тельств
model theory		模型论		móxíng lùn		Modelltheorie [f]		théorie [f] des modèles		モデル理論		モデルりろん		тео́рия моде́лей
computability theory, recursion theory		可计算性理论		kějìsuànxìng lǐlùn		Berechenbarkeitstheorie [f], Rekursionstheorie [f]		théorie [f] de la calculabilité		計算可能性理論		けいさんかのうせいりろん		тео́рия вычисли́мости

Set Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
absolute complement	complement (set theory); subset
binary operation	element (mathematics)
cardinality	set (set theory)
codomain, set of destination	function (set theory); set (set theory)
complement (set theory)	set (set theory)
continuum (set theory)	real number <arithmetic>
countable set	subset; cardinality
domain (set theory), set of departure	function (set theory); set (set theory)
element (set theory)	object (mathematics)
empty set	set (set theory)
enumeration	set (set theory)
extensionality, extensional equality	object (mathematics)
finite set	element (set theory)
image (set theory)	function (set theory); set (set theory)
intersection (set theory)	set (set theory)
inverse image (set theory), preimage	codomain; subset
map (set theory)	function (set theory)
ordered pair	object (mathematics)
power set, powerset	subset; empty set
proper subset	subset
range (set theory)	codomain; image (set theory)
relative complement	complement (set theory); subset
set (set theory)	element (set theory)
subset	set (set theory)
superset	set (set theory)
tuple	element (mathematics); sequence (mathecatics)
union (set theory)	set (set theory)
unordered pair, pair set	set (set theory)

Proof Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Model Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Computability Theory / Recursion Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

* Appendix *

Adjective & Adjective Phrase

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Verb & Verb Phrase

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: がいねん	jpn-Hrkt-JP: ぜんたい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Symbol

symbol	eng-Latn-US: concept	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]	jpn-Jpan-JP: 概念	jpn-Hrkt-JP: がいねん	rus-Cyrl-RU: конце́пция
∈	element of
∉	not element of
∋	contain member
∌	not contain member
⊂	subset of; proper subset of
⊃	superset of; proper superset of
⊆	subset of
⊇	superset of
⊄	not subset of; not proper subset of
⊅	not superset of; not proper superset of
⊈	not subset of
⊉	not superset of
⊊	subset and not proper subset of
⊋	superset and not proper superset of
A, B, C, ...	set (set theory)
a, b, c, ...	element (set theory)

Process

eng-Latn-US: process	eng-Latn-US: constituent	cmn-Hans-CN: 过程	cmn-Hans-CN: 构件	cmn-Latn.Pinyin-CN: guòchéng	cmn-Latn.Pinyin-CN: gòujiàn	deu-Latn-DE: Prozess [m]	deu-Latn-DE: Bestandteil [m]	fra-Latn-FR: procès [m]	fra-Latn-FR: composant [m]	jpn-Jpan-JP: 過程	jpn-Jpan-JP: 構材	jpn-Hrkt-JP: かてい	jpn-Hrkt-JP: こうざい	rus-Cyrl-RU: проце́сс	rus-Cyrl-RU: соста́вная часть

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