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What is a proof in math?

"In mathematics, a proof is a demonstration that if some fundamental statements (axioms) are assumed to be true, then some mathematical statement is necessarily true." (from Wikipedia)


What is a mathematical statement that can be shown to be true using previously proven statements?

Such a statement is called a theorem.true


True or false A theorem is a statement that is deductively proven to be true.?

False. It is proven to be true IF some axioms are assumed to be true. A mathematical statement can be proven to be true only after some axioms have been assumed.


What is a mathematical statement that can be shown to be true by using previous statements?

pascals theory


What are statements that always or never hold true called?

Statements that always or never hold true are called "tautologies."


What are the postulates and theorems?

Postulates are statements that are assumed to be true without proof. Theorums are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.


Does a postulate need to be proved?

yes no. ( a second opinion) A postulate is assumed without proof. Postulate is a word used mostly in geometry. At one time, I think people believed that postulates were self-evident . In other systems, statements that are assumed without proof are called axioms. Although postulates are assumed when you make mathematical proofs, if you doing applied math. That is, you are trying to prove theorems about real-world systems, then you have to have strong evidence that your postulates are true in the system to which you plan to apply your theorems. You could then say that your postulates must be "proved" but this is a different sense of the word than is used in mathematical proving.


What does a true statement that follows from other two statements mean In math terms?

In mathematical terms, a true statement that follows from two other statements indicates a logical implication or deduction. This means that if the two initial statements (premises) are true, then the resulting statement (conclusion) is also necessarily true. This relationship is often expressed using logical operators, such as "if...then," and is foundational in proofs and theorems. Essentially, it highlights the consistency and validity of reasoning within a mathematical framework.


Why are the statements in the body of a loop called conditionally executed statements?

These statements are called conditionally executed statements because the may or may not be executed. They will be executed while the boolean (true/false) statement in the beginning of the loop is true, but will not be executed when statement is false.


Postulates need to be proven?

Such statements are called postulates in geometry and axioms in other areas. Definitions are also accepted without proof, but technically they are abbreviations rather than statements.


What is a diamond called in mathematical language?

It is actually mathematical TERMS but I'm sure the true answer for that is a rhombus.


Can modules be called from a statements in the body of any loop?

true