logical consequence
What must follow
A logical consequence is a conclusion that necessarily follows from a set of premises or assumptions—if the premises are true, the conclusion must be true.
In formal logic, this relationship is the backbone of valid reasoning and proof.
The term appears in philosophy, mathematics, and computer science to describe what can be legitimately inferred.
Given that all mammals are warm-blooded and dogs are mammals, the logical consequence is that dogs are warm-blooded.
- entailmentLogical necessity from premises
- truth tableChart of logical possibilities
- truthAccordance with reality
- if and only ifBiconditional logical connective
- reductio ad absurdumDisproof by absurd consequence
proof by contradiction · soundness · tautology · contradiction · reasoning · first principles · counterfactuals · causality · axioms · domino · domino effect · slippery slope · deduction · therefore · inference · validity · hence · follows
logical consequencecoincidence
Unplanned matching of events
accident · random occurrence · chance · happenstance · fluke
logical consequencelogical fallacy
Error in reasoning
non sequitur · fallacy · wishful thinking · faulty reasoning · circular reasoning
logical consequencepremise
Foundation for logical argument
antecedent · cause · precondition · presupposition · axiom
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