The Logic of Conditionals
Updated 2026-09-10
INTRODUCTION
English translation pending.
CORE DEFINITION
The logic of conditionals studies the inference patterns of sentences of the form if A then B. It first examines the difficulties of a two-valued analysis, then surveys logics based on richer semantic frameworks, including three-valued semantics, possible-worlds semantics, premise semantics, and probabilistic semantics, and discusses theories of conditionals that draw on belief revision.
SCAFFOLDING EFFECT
Reduce cognitive load
- Reason counterfactually: imagine the world closest to actual in which the antecedent holds and see whether the consequent holds. - Evaluate hypotheses: judge what a conditional means even when the antecedent is false, avoiding vacuous truth. - Substitute probability: replace truth judgments with conditional probability when inference is uncertain.
Anchor fast decisions
If a conditional were the material implication, it would be true whenever its antecedent is false, which conflicts with intuition. Possible-worlds semantics instead compares worlds: whether the consequent holds in the worlds closest to actual where the antecedent holds; probabilistic semantics requires the conditional probability to be high enough. Both explain how a conditional with a false antecedent can still be meaningfully true or false.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- plato.stanford.eduhttps://plato.stanford.edu/entries/logic-conditionals/verified
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