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Statement vs. Theorem — What's the Difference?

Statement vs. Theorem — What's the Difference?

Difference Between Statement and Theorem

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Statement

The act of stating or declaring
The attorney's statement took an hour.

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.

Statement

Something stated; a declaration
The witness made many false statements.

Theorem

An idea that has been demonstrated as true or is assumed to be so demonstrable.

Statement

A formal oral or written declaration, especially with regard to facts or claims
In a statement, the firm denied any wrongdoing.
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Theorem

(Mathematics) A proposition that has been or is to be proved on the basis of explicit assumptions.

Statement

An abstract of a commercial or financial account showing an amount due; a bill.

Theorem

(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.

Statement

A monthly report sent to a debtor or bank depositor.

Theorem

A mathematical statement that is expected to be true
Fermat's Last Theorem'' was known thus long before it was proved in the 1990s.

Statement

(Computers) An elementary instruction in a programming language.

Theorem

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

Statement

An overall impression or mood intended to be communicated, especially by means other than words
Glass, exposed beams, and antiques created a strong decorative statement.

Theorem

(transitive) To formulate into a theorem.

Statement

Having a striking appearance, often because of large size, unusual design, or extensive ornamentation
A statement necklace.
Statement furniture.

Theorem

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.

Statement

A declaration or remark.
Make a statement
Publish a statement
Utter a statement

Theorem

A statement of a principle to be demonstrated.

Statement

A presentation of opinion or position.

Theorem

To formulate into a theorem.

Statement

(finance) A document that summarizes financial activity.
A bank statement

Theorem

A proposition deducible from basic postulates

Statement

(computing) An instruction in a computer program, especially one that returns no value, as opposed to a function call.

Theorem

An idea accepted as a demonstrable truth

Statement

(transitive) To provide an official document of a proposition, especially in the UK a Statement of Special Educational Needs.

Statement

The act of stating, reciting, or presenting, orally or on paper; as, to interrupt a speaker in the statement of his case.

Statement

That which is stated; a formal embodiment in language of facts or opinions; a narrative; a recital.

Statement

A message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc;
According to his statement he was in London on that day

Statement

A fact or assertion offered as evidence that something is true;
It was a strong argument that his hypothesis was true

Statement

(music) the presentation of a musical theme;
The initial statement of the sonata

Statement

A nonverbal message;
A Cadillac makes a statement about who you are
His tantrums are a statement of his need for attention

Statement

The act of affirming or asserting or stating something

Statement

(computer science) a line of code written as part of a computer program

Statement

A document showing credits and debits

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