Theorem vs. 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.
Theoremnoun
A mathematical statement that is expected to be true
Theoremnoun
(logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
Theoremverb
(transitive) To formulate into a theorem.
Theoremnoun
That which is considered and established as a principle; hence, sometimes, a rule.
Theoremnoun
A statement of a principle to be demonstrated.
Theoremverb
To formulate into a theorem.
Theoremnoun
a proposition deducible from basic postulates
Theoremnoun
an idea accepted as a demonstrable truth
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
(obsolete) Mental conception; reflection, consideration.
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.
Theorynoun
(uncountable) The underlying principles or methods of a given technical skill, art etc., as opposed to its practice.
Theorynoun
(mathematics) A field of study attempting to exhaustively describe a particular class of constructs.
Theorynoun
A hypothesis or conjecture.
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).
Theorynoun
A doctrine, or scheme of things, which terminates in speculation or contemplation, without a view to practice; hypothesis; speculation.
Theorynoun
An exposition of the general or abstract principles of any science; as, the theory of music.
Theorynoun
The science, as distinguished from the art; as, the theory and practice of medicine.
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;
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;
Theorynoun
a belief that can guide behavior;
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.
