Strict conditional

In logic, a strict conditional (symbol: , or ⥽) is a conditional governed by a modal operator, that is, a logical connective of modal logic. It is logically equivalent to the material conditional of classical logic, combined with the necessity operator from modal logic. For any two propositions p and q, the formula p → q says that p materially implies q while says that p strictly implies q. Strict conditionals are the result of Clarence Irving Lewis's attempt to find a conditional for logic that can adequately express indicative conditionals in natural language. They have also been used in studying Molinist theology.

Comment
enIn logic, a strict conditional (symbol: , or ⥽) is a conditional governed by a modal operator, that is, a logical connective of modal logic. It is logically equivalent to the material conditional of classical logic, combined with the necessity operator from modal logic. For any two propositions p and q, the formula p → q says that p materially implies q while says that p strictly implies q. Strict conditionals are the result of Clarence Irving Lewis's attempt to find a conditional for logic that can adequately express indicative conditionals in natural language. They have also been used in studying Molinist theology.
Has abstract
enIn logic, a strict conditional (symbol: , or ⥽) is a conditional governed by a modal operator, that is, a logical connective of modal logic. It is logically equivalent to the material conditional of classical logic, combined with the necessity operator from modal logic. For any two propositions p and q, the formula p → q says that p materially implies q while says that p strictly implies q. Strict conditionals are the result of Clarence Irving Lewis's attempt to find a conditional for logic that can adequately express indicative conditionals in natural language. They have also been used in studying Molinist theology.
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Strict conditional
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Arrow (computer science)
Category:Conditionals
Category:Formal semantics (natural language)
Category:Linguistic modality
Category:Logical connectives
Category:Modal logic
Category:Necessity
Clarence Irving Lewis
Classical logic
Consequent
Constructive logic
Conversational implicature
Corresponding conditional
Counterfactual conditional
Dynamic semantics
Graham Priest
Heyting arithmetic
Import-Export (logic)
Indicative conditional
Interpretability
Jonathan Bennett (philosopher)
Logic
Logical connective
Logical consequence
Logical equivalence
Logical truth
Mark Sainsbury (philosopher)
Material conditional
Modal logic
Modal operator
Molinism
Paradoxes of material implication
Paul Grice
Proposition
Recursion (computer science)
Relevance logic
Transitive relation
Well-formed formula
SameAs
3Tpaj
Condicional estricto
Condicional estrito
Implication stricte
m.030wxt
Q375520
Strict conditional
Строга импликация
شرطی اکید
严格条件
Subject
Category:Conditionals
Category:Formal semantics (natural language)
Category:Linguistic modality
Category:Logical connectives
Category:Modal logic
Category:Necessity
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Strict conditional?oldid=1123124120&ns=0
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