Language/Multiple-languages/Vocabulary/Mathematical-Logic

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This is a part of the Sci–Tech Index, a project for science and technology learners.

In progress.

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; subset
binary operation element
cardinality set
codomain, set of destination function; set
complement set 补集 bǔ jí Komplement [n] complémentaire [m] 差集合 さしゅうごう ра́зность мно́жеств
continuum real number <arithmetic>
countable set subset; cardinality
domain, set of departure function; set
element object
empty set set
enumeration set
extensionality, extensional equality object
finite set element
function binary relation; set 函数 hán shù Funktion [f] fonction [f]
image function; set
intersection set
inverse image, preimage codomain; subset
object
map function
ordered pair object
power set, powerset subset; empty set
proper subset subset
range codomain; image
relation set 关系 guānxi Relation [f]
relative complement complement; subset
set element
subset set
superset set
tuple element; sequence
union set
unordered pair, pair set set

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

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* Appendix *

Adjective & Adjective Phrase; 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

Set Theory

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
a, b, c, ... element

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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