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

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{| class="wikitable sortable"
|+ 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
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| affirming the antecedent, ''modus ponens'', ''modus ponendo ponens'' ||
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| denying the consequent, ''modus tollens'', ''modus tollendo tollens'' ||
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Revision as of 21:49, 21 February 2022

Hello polyglots, 😀


On this page you will find 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↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
logic
formal logic
classical logic, standard logic
non-classical logic, alternative logic
informal logic

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
formal language
proposition
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;
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
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, nor 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

Modus ponens.png

* 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

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