logical proofs
Rigorous argument chains
Logical proofs are chains of reasoning that establish a conclusion from premises using accepted rules of inference.
In mathematics and formal logic, a proof demonstrates that a statement must be true given certain axioms: The proof shows that no largest prime number exists.
Proofs proceed step by step, each move justified by logical principles.
Beyond technical contexts, proof suggests evidence strong enough to compel belief: Where's your proof that he was involved?
- premiseFoundation for logical argument
- first principlesBasic truths underlying reasoning
- lemmaBase form, or helper theorem
- mathematicsScience of quantity and structure
- conclusionEnd or deduction
corollary · axiom · theorem · hypothesis · QED · computer science · inference · philosophy · if and only if · truth table · artificial intelligence · set theory · epistemology · cryptography · argument · validity · sound argument · reductio ad absurdum
logical proofsguesses
Estimates without certainty
hunches · intuitions · gut feelings · assumptions · leaps of faith
logical proofslogical fallacies
Defects in reasoning structure
non sequiturs · circular reasoning · sophistry · fallacies · contradictions
logical proofssensory experience
Awareness through bodily senses
divine revelation · mystical insight · personal testimony · tradition · dogma
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