theorem
Noun
Medium difficulty
What does “theorem” mean?
noun.a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
SAT Usage
this term often appears in mathematics and logic contexts, particularly in discussions of proofs, geometry, or theoretical concepts. It emphasizes the rigor of logical reasoning and the necessity of foundational premises, distinguishing it from similar terms like "hypothesis," which suggests an unproven idea rather than an established truth.
Common Confusions
Theorem implies a conclusively proven statement based on reasoning, while hypothesis usually suggests a tentative assumption awaiting testing or proof.
Do not choose theorem if the context emphasizes a self-evident truth rather than a general proposition proved by a chain of reasoning.
Example Sentences
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The student spent hours trying to prove the geometry theorem.