
Theorem
Logical Proof
Theorems are not just ideas; they're proven by clear logical steps.
After rigorous proof, the researcher established the theorem.
Misconceptions
Theorems are often mistaken for theories; theorems are proven, theories are not.
Unlike scientific theories, theorems in mathematics are irrefutable.
Academic Usage
'Theorem' suggests a formal context, common in textbooks, lectures, and research.
The professor discussed the theorem in today's lecture.