Theorem
ˈθɪərəm
Definitions
A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
ˈθɪərəm
A statement that can be proved from previously established statements.
Pythagoras' theorem is fundamental in geometry.
💡 Simply: It's like a really solid, proven fact in math or science. Someone figured it out by starting with other known facts and then showing why this new thing *has* to be true. Like, if you know A and B, and you can prove C using A and B, then C is a theorem!
👶 For kids: It's like a rule that scientists and math people figured out is always true, and they showed it with a lot of steps, not just by guessing!
More Examples
The proof of the theorem took several years to complete.
Mathematicians often strive to discover new theorems.
How It's Used
"Euclid's theorem is a fundamental result in geometry."
"The Gödel incompleteness theorem has profound implications for the foundations of mathematics."
From Greek *theōrēma* (a thing to be seen, a sight, a speculation), from *theōrein* (to look at, to contemplate). It entered English in the 16th century, initially referring to a general statement offered for consideration.
The term has been used in mathematics and logic for centuries, evolving in meaning as these fields advanced. Early usage was more general, referring to any proposition put forward for discussion, but its focus narrowed over time.
Memory tip
Think of it as a mathematical truth that's been earned through proof.