What does Logical consequence mean?
Definitions for Logical consequence
log·i·cal con·se·quence
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Logical consequence.
Wikipedia
Logical consequence
Logical consequence (also entailment) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically follows from one or more statements. A valid logical argument is one in which the conclusion is entailed by the premises, because the conclusion is the consequence of the premises. The philosophical analysis of logical consequence involves the questions: In what sense does a conclusion follow from its premises? and What does it mean for a conclusion to be a consequence of premises? All of philosophical logic is meant to provide accounts of the nature of logical consequence and the nature of logical truth.Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using only logic (i.e., without regard to any personal interpretations of the sentences) the sentence must be true if every sentence in the set is true.Logicians make precise accounts of logical consequence regarding a given language L {\displaystyle {\mathcal {L}}} , either by constructing a deductive system for L {\displaystyle {\mathcal {L}}} or by formal intended semantics for language L {\displaystyle {\mathcal {L}}} . The Polish logician Alfred Tarski identified three features of an adequate characterization of entailment: (1) The logical consequence relation relies on the logical form of the sentences: (2) The relation is a priori, i.e., it can be determined with or without regard to empirical evidence (sense experience); and (3) The logical consequence relation has a modal component.
Wikidata
Logical consequence
Logical consequence is one of the most fundamental concepts in logic. It is the relationship between statements that holds true when one logically "follows from" one or more others. Valid logical arguments are ones in which the conclusions follow from its premises, and its conclusions are consequences of its premises. The philosophical analysis of logical consequence involves asking, 'in what sense does a conclusion follow from its premises?' and 'what does it mean for a conclusion to be a consequence of premises?' All of philosophical logic can be thought of as providing accounts of the nature of logical consequence, as well as logical truth. Logical consequence is taken to be both necessary and formal with examples explicated using models and proofs. A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using logic alone the sentence must be true if every sentence in the set were to be true. Logicians make precise accounts of logical consequence with respect to a given language by constructing a deductive system for, or by formalizing the intended semantics for . Alfred Tarski highlighted three salient features for which any adequate characterization of logical consequence needs to account: 1 that the logical consequence relation relies on the logical form of the sentences involved, 2 that the relation is a priori, i.e. it can be determined whether or not it holds without regard to sense experience, and 3 that the relation has a modal component.
Numerology
Chaldean Numerology
The numerical value of Logical consequence in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of Logical consequence in Pythagorean Numerology is: 9
Translations for Logical consequence
From our Multilingual Translation Dictionary
Get even more translations for Logical consequence »
Translation
Find a translation for the Logical consequence definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"Logical consequence." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/Logical+consequence>.
Discuss these Logical consequence definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In