Language/Multiple-languages/Vocabulary/Mathematical-Logic

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

* 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

Related Free Educational Resources

branch	name	link	language	public license

Unmaintained! Moved to a Codeberg repository. Use Foam with VSCodium to visualise the content.

Sci–Tech Index

Introduction

---

Philosophy

Logic

Metaphysics

---

Mathematics Mathematical Logic Category Theory Number Theory Algebra Geometry Probability Theory Statistics Information Theory Mathematical Analysis Topology Discrete Mathematics Computational Science Physics Mechanics └ Structural Analysis └ Tribology Thermodynamics Optics Acoustics Electromagnetism Electronic Component Metrology └ Unit of Measurement Particle Physics Biology Cell Biology Chemistry Chemical Element Material Science └ Metallurgy Computer Science Technical Drawing Mechanical Engineering Mechanism Machine Element Metalworking Hydraulics and Pneumatics Theory of Inventive Problem Solving Software Engineering Computer Language Systems Science Chaos Theory Cybernetics └ Control Theory Robotics

Anthropology Psychology Linguistics

Sci–Tech Index is under the CC BY 4.0 license