Difference between revisions of "Language/Multiple-languages/Vocabulary/Logic"

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| formal language ||  
| formal language ||  
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| 形式语言 ||  
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| xíngshì yǔyán ||  
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| formale Sprache ||  
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| langage formel ||  
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| 形式言語 ||  
|  ||  
| け↑いしきげ↓んご ||  
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| форма́льный язы́к ||  
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|-
| necessary condition || necessity
| necessary condition || necessity
| 必要条件 ||
| bìyào tiáojiàn ||
| notwendige Bedingung ||
| condition nécessaire ||
| 必要条件 ||
| ひ↑つようじょ↓うけん  ||
| необходи́мое усло́вие ||
|-
| necessary and sufficient condition || necessary condition; sufficient condition
|  ||  
|  ||  
|  ||  
|  ||  
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| sufficient condition || sufficiency
| sufficient condition || sufficiency
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| 充分条件 ||  
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| chōngfèn tiáojiàn ||  
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| hinreichende Bedingung ||  
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| condition suffisante ||  
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| 十分条件 ||  
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| じゅ↑うぶんじょ↓うけん ||  
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| доста́точное усло́вие ||  
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| syntax ||  
| syntax ||  

Revision as of 13:16, 14 March 2022

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On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
logic 逻辑学 luóji xué Logik [f] logique [f] 論理学 ろ↑んり↓がく ло́гика
formal logic 形式逻辑 xíngshì luóji formale Logik logique [f] formelle 形式論理 け↑いしきろ↓んり форма́льная ло́гика
classical logic, standard logic 经典逻辑,标准逻辑 jǐngdiǎn luóji, biǎozhǔn luóji klassischen Logik logique [f] classique 古典論理,標準論理 こ↑てんろ↓んり,ひょ↑うじゅんろ↓んり класси́ческая ло́гика
non-classical logic, alternative logic 非经典逻辑,替代逻辑 fēi jīngdiǎn luóji, tìdài luóji nichtklassische Logik logique non classique [f] 非古典論理 ひ↑こてんろ↓んり некласси́ческие ло́гики
informal logic 非形式逻辑 fēi xíngshì luóji informelle Logik logique [f] informelle 非形式論理 ひ↑けいしきろ↓んり неформа́льная ло́гика

Main

Formal Logic

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
contradiction proposition 矛盾 máodùn Kontradiktion [f] contradiction [f], antilogie [f] 矛盾 む↑じゅん противоре́чие
interpretation symbol; formal language 解释 jiěshì Interpretation [f] interprétation [f] 解釈 か↓いしゃく толкова́ние
formal language 形式语言 xíngshì yǔyán formale Sprache langage formel 形式言語 け↑いしきげ↓んご форма́льный язы́к
necessary condition necessity 必要条件 bìyào tiáojiàn notwendige Bedingung condition nécessaire 必要条件 ひ↑つようじょ↓うけん необходи́мое усло́вие
necessary and sufficient condition necessary condition; sufficient condition
necessity statement; material implimentation
proposition
sufficiency statement; material implimentation
sufficient condition sufficiency 充分条件 chōngfèn tiáojiàn hinreichende Bedingung condition suffisante 十分条件 じゅ↑うぶんじょ↓うけん доста́точное усло́вие
syntax
tautology well-formed formula Tautologie [f]

Classical Logic, Standard Logic

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
antedent hypothetical proposition
conclusion
consequence, entailment statement
consequent hypothetical proposition
explanation statement; causality; consequence
hypothesis [pl:hypotheses] explanation; phenomenon
hypothetical proposition hypothesis; proposition
phenomenon [pl:phenomena]
premise argument; conclusion
principle of sufficient reason reason; causality
proposition
soundness validity
validity premise; tautology
law of thought
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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
law of thought
law of identity, principle of identity
law of non-contradiction, principle of non-contradiction
law of excluded middle, principle of excluded middle
Propositional Calculus, Propositional Logic, Statement Logic, Sentential Calculus, Sentential Logic
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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
logical connective
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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
logical connective, logical operator, sentential connective, sentential operator connecteur [m] logique
alternative denial negation; conjunction
conjunction set <mathematical logic> conjonction [f]
converse statement implication [f] réciproque
disjunction set <mathematical logic> disjonction [f]
exclusive disjunction, exclusive or disjonction [f] exclusive, ou [m] exclusif
joint denial non-ou [m]
biconditional, material biconditional biconditionnel [m], biconditionnel [m] matériel
conditional, material conditional, material implication conditionnel [m], implication [f] matérielle
negation set <mathematical logic> négation [f]
statement
rule of inference
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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
rule of inference
affirming the antecedent, modus ponens, modus ponendo ponens
denying the consequent, modus tollens, modus tollendo tollens

Non-Classical Logic, Alternative Logic

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Informal Logic

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Appendix

Sentence

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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Symbol

Formal Logic

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
logical connective
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 pes-Aran-IR: مَفهوم rus-Cyrl-RU: конце́пция
≔, ≡, :⇔ definition
⊤, T, 1, ■ tautology
⊥, F, 0, □ contradition
¬, ~, ! negation
∧, &, · conjunction
∨, ∥, + disjunction
converse
↑, | alternative denial
→, ⇒, ⊃ material implication
joint denial
↔, ⇔, ≡, ⟷, ⟺ material equivalence
converse nonimplimencation
nonimplimencation
↮, ⊻, ⩒, ⩛, ⊕, ≢ exclusive disjunction

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

Resource under a Public License

name language link
forall x: Calgary. An Introduction to Formal Logic English https://forallx.openlogicproject.org/
Logic Primer Files English https://tellerprimer.ucdavis.edu/pdf
Modus ponens.png

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