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Conditional logic (also: the logic of conditionals) refers to a family of formal systems for reasoning with statements of the form "if A, (then) B". Conditional logics are intended to capture the meaning and patterns of inference associated with natural language conditionals more faithfully than the classical material conditional, which gives rise to…
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conditional logics conditionals logic systems displaystyle semantics reasoning system worlds selection lewis ck nonmonotonic mathbin principles possible vdash antecedent many
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| modus ponens | instance of | These systems are designed to validate basic principles | 0.80 | text |
| while restricting or invalidating classical schemas like strengthening the antecedent | instance of | These systems are designed to validate basic principles | 0.80 | text |
| transitivity | instance of | These systems are designed to validate basic principles | 0.80 | text |
| and contraposition | instance of | These systems are designed to validate basic principles | 0.80 | text |
| which are not always correct for ordinary | instance of | These systems are designed to validate basic principles | 0.80 | text |
| Burgess's B | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
| Lewis's V | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
| VW | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
| VC | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
| or Stalnaker's C2 | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
| which validate different structural principles for the conditional connective | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
| are often related by soundness | instance of | Corresponding proof-theoretic systems range from Chellas's basic logics Ck and CK to stronger systems | 0.80 | text |
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