theo
rem
Plural
theorems
1
a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system
- Mathematicians often prove theorems to establish mathematical truths.
- One fundamental aspect of mathematical reasoning is establishing the validity of theorems.
- The Pythagorean theorem is a well-known principle in geometry.
- A theorem typically requires a rigorous proof to be considered valid.
- Students often encounter various theorems while studying advanced mathematics.
2
an idea or statement widely accepted as demonstrably true
- The engineer relied on the theorem that stress is proportional to strain.
- Economic models propose theorems about market behavior.
- The experiment confirmed a physical theorem regarding energy conservation.
- Philosophical theorems may require logical argument rather than empirical proof.
- Some theorems in physics bridge abstract concepts and measurable results.