reductio Synonyms
No Synonyms and anytonyms found
reductio Meaning
reductio (n)
(reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd; or a proof of a proposition by showing that its negation leads to a contradiction
reductio Sentence Examples
- The reductio ad absurdum argument leads to a contradictory result, disproving the initial claim.
- The proof by reductio involves assuming the negation of the theorem and deriving a logical contradiction.
- The reductio assumption is made temporarily and is later shown to lead to an absurdity.
- The reductio technique is commonly used in mathematics and logic to establish the validity of propositions.
- By reductio, we can indirectly prove a statement by assuming its opposite and showing its impossibility.
- The reductio method allows us to conclude a theorem by deducing a contradiction from its negation.
- In reductio proofs, the contradiction often involves logical paradoxes or inconsistencies.
- The reductio approach is highly effective in disproving claims by exposing their flaws.
- The use of reductio in philosophy has a long history, dating back to ancient Greek thinkers.
- Reductio arguments are powerful tools for establishing the truth or falsity of assertions in various disciplines.
FAQs About the word reductio
(reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd; or a proof of a proposition by showing that its negation le
No synonyms found.
No antonyms found.
The reductio ad absurdum argument leads to a contradictory result, disproving the initial claim.
The proof by reductio involves assuming the negation of the theorem and deriving a logical contradiction.
The reductio assumption is made temporarily and is later shown to lead to an absurdity.
The reductio technique is commonly used in mathematics and logic to establish the validity of propositions.
