VS.

# Theorem vs. Theory

Published:
Views: 7,242

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

That which is considered and established as a principle; hence, sometimes, a rule.

‘Not theories, but theorems ( ), the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively.’; ‘By the theorems,Which your polite and terser gallants practice,I re-refine the court, and civilizeTheir barbarous natures.’;

Theorynoun

A hypothesis or conjecture.

Theoremnoun

A statement of a principle to be demonstrated.

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.’;

Theoremverb

To formulate into a theorem.

Theorynoun

A doctrine, or scheme of things, which terminates in speculation or contemplation, without a view to practice; hypothesis; speculation.

Theoremnoun

a proposition deducible from basic postulates

Theorynoun

An exposition of the general or abstract principles of any science; as, the theory of music.

Theoremnoun

an idea accepted as a demonstrable truth

Theorynoun

The science, as distinguished from the art; as, the theory and practice of medicine.

Theorem

In mathematics and logic, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system.

Theorynoun

The philosophical explanation of phenomena, either physical or moral; as, Lavoisier's theory of combustion; Adam Smith's theory of moral sentiments.

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’;

Theory

A theory is a rational type of abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking is often associated with such processes as observational study or research.