# Theorem vs. Theory

## Difference Between Theorem and Theory

#### Theoremnoun

(mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.

#### Theorynoun

(obsolete) Mental conception; reflection, consideration.

#### Theoremnoun

A mathematical statement that is expected to be true

*''Fermat's Last Theorem was known thus long before it was proved in the 1990s.*

#### Theorynoun

(sciences) A coherent statement or set of ideas that explains observed facts or phenomena and correctly predicts new facts or phenomena not previously observed, or which sets out the laws and principles of something known or observed; a hypothesis confirmed by observation, experiment etc.

#### Theoremnoun

(logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.

#### Theorynoun

(uncountable) The underlying principles or methods of a given technical skill, art etc., as opposed to its practice.

#### Theoremverb

(transitive) To formulate into a theorem.

#### Theorynoun

(mathematics) A field of study attempting to exhaustively describe a particular class of constructs.

*Knot theory classifies the mappings of a circle into 3-space.*

#### Theoremnoun

a proposition deducible from basic postulates

#### Theorynoun

A hypothesis or conjecture.

#### Theoremnoun

an idea accepted as a demonstrable truth

#### Theorynoun

A set of axioms together with all statements derivable from them. Equivalently, a formal language plus a set of axioms (from which can then be derived theorems).

*A theory is consistent if it has a model.*

#### Theorynoun

a well-substantiated explanation of some aspect of the natural world; an organized system of accepted knowledge that applies in a variety of circumstances to explain a specific set of phenomena;

*theories can incorporate facts and laws and tested hypotheses*

*true in fact and theory*

#### Theorynoun

a tentative theory about the natural world; a concept that is not yet verified but that if true would explain certain facts or phenomena;

*a scientific hypothesis that survives experimental testing becomes a scientific theory*

*he proposed a fresh theory of alkalis that later was accepted in chemical practices*

#### Theorynoun

a belief that can guide behavior;

*the architect has a theory that more is less*

*they killed him on the theory that dead men tell no tales*