Theorem (Noun)
Meaning 1
A proposition deducible from basic postulates.
Classification
Nouns denoting communicative processes and contents.
Examples
- The Pythagorean theorem is a fundamental concept in geometry that describes the relationship between the lengths of the sides of a right-angled triangle.
- Euler's theorem states that for any positive integer n and any integer a that is coprime to n, a^(φ(n)) ≡ 1 (mod n).
- Fermat's last theorem was famously proved by Andrew Wiles in 1994 after working on it in secrecy for seven years.
- Once the basic postulates were established, it was possible to derive a number of important theorems that describe the behavior of gravitational fields.
- This mathematical model relies on several key theorems from calculus and statistical mechanics to make predictions about complex systems.
Meaning 2
An idea accepted as a demonstrable truth.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The fundamental theorem of calculus is a cornerstone of mathematical analysis.
- Darwin's theory of evolution was initially met with skepticism but eventually became a widely accepted theorem in the scientific community.
- The concept that all mammals give birth to live young is a well-established theorem in biology.
- Newton's laws of motion were widely accepted as a theorem in physics for centuries before being refined.
- The idea that humans are responsible for climate change has become a widely accepted theorem in environmental science.