logical consequence

fundamental concept in logic
rdfs:label
"logical consequence"@en
skos:altLabel
"=>"@en
"asserted relation"@en
"entailment"@en
"implies"@en
"logical implication"@en
"logically implies"@en
schema:description
"fundamental concept in logic"@en
schema:dateModified "2026-07-15T05:53:52+00:00"^^xsd:dateTime
schema:version 2517663744
wikibase:identifiers 15
wikibase:sitelinks 33
wikibase:statements 31
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p:P913 wd:statement/Q374182-0cd86b61-4784-f9ef-775d-da9977af0ea1
p:direct-normalized/P227 <https://d-nb.info/gnd/4161414-8>
p:direct-normalized/P6366 <https://makg.org/entity/134752490>
p:direct-normalized/P7033 <http://vocabulary.curriculum.edu.au/scot/15501>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/LogicalConsequence>
wdt:P10283 "C134752490"
wdt:P11514 "umozakliuchenie-c6fdc4"
wdt:P1417 "topic/logic-of-consequences"
wdt:P1889 wd:Q55644676
material implication
wdt:P227 "4161414-8"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x2200;</mi><mi>x</mi><mtext>&#160;</mtext><mo stretchy="false">(</mo><mi>A</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x2192;</mo><mi>B</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">⊨</mo><mo stretchy="false">⟨</mo><mi>ϕ</mi><mo stretchy="false">⟩</mo><mo stretchy="false">)</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>&#x27FA;</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo stretchy="false">(</mo><mi mathvariant="normal">∀</mi><mi>M</mi><mo stretchy="false">⊨</mo><mi>T</mi><mo stretchy="false">:</mo><mi>M</mi><mo stretchy="false">⊨</mo><mo stretchy="false">⟨</mo><mi>ϕ</mi><mo stretchy="false">⟩</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 logic
wdt:P279 consequence
wdt:P31 concept
wdt:P3123 "logical-consequence"
wdt:P361 inference
wdt:P373 "Logical consequence"
wdt:P460 wd:Q116159570
conclusion
wdt:P4746 "139751"
wdt:P487 "⇒"
wdt:P5088 "logcon"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "134752490"
wdt:P6385 "gumanitarnye_nauki/filosofiya/UMOZAKLYUCHENIE.html"
wdt:P646 "/m/0c6np"
wdt:P7033 "scot/15501"
wdt:P7235 "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi><mo stretchy="false">⊨</mo><mi>T</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi><mo stretchy="false">⊨</mo><mo stretchy="false">⟨</mo><mi>ϕ</mi><mo stretchy="false">⟩</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7276 "IMPLIKACE"
wdt:P7293 "9810693501105606"
wdt:P8408 "LogicalConsequence"
wdt:P910 Category:Logical consequence
wdt:P913 implication arrow
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