What is the definition of a tautology in math?
Understand the Problem
The question is asking for the definition of a tautology in the context of mathematics. A tautology is a statement that is true in every possible interpretation. It is often discussed in logic and propositional calculus.
Answer
A compound statement that is always true
The final answer is a compound statement that is always true
Answer for screen readers
The final answer is a compound statement that is always true
More Information
A tautology ensures that no matter the individual truth values of its components, the overall statement remains true. This concept is critical in logic and mathematical proofs.
Tips
Common mistakes include confusing a tautology with a contradiction or a logical statement that may be conditionally true.
Sources
- Tautology in Maths - Definition, Truth Table and Examples - BYJU'S - byjus.com
- Tautology Math | Definition, Truth Table & Examples - Study.com - study.com
- Tautology (logic) - Wikipedia - en.wikipedia.org
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