# Can a postulate be used to prove a theorem?

## Can a postulate be used to prove a theorem?

A postulate is a statement that is assumed to be true without a proof. It is considered to be a statement that is “obviously true”. Postulates may be used to prove theorems true. A theorem is a statement that can be proven to be true based upon postulates and previously proven theorems.

## What is the difference between a theorem and an axiomatic postulate?

Axioms or postulates are universal truths. They cannot be proved. Theorem are statements which can be proved.

Is postulate the same as theory?

As nouns the difference between postulate and theory is that postulate is something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument while theory is (obsolete) mental conception; reflection, consideration.

### Why are postulates or theorems important in geometry?

Postulates and theorems are the building blocks for proof and deduction in any mathematical system, such as geometry, algebra, or trigonometry. By using postulates to prove theorems, which can then prove further theorems, mathematicians have built entire systems of mathematics.

### How is a corollary related to a theorem?

In mathematics, a corollary is a theorem connected by a short proof to an existing theorem. In many cases, a corollary corresponds to a special case of a larger theorem, which makes the theorem easier to use and apply, even though its importance is generally considered to be secondary to that of the theorem.

What is the difference between corollary and theorem?

a theorem is a more important statement than a proposition which says something definitive on the subject, and often takes more effort to prove than a proposition or lemma. A corollary is a quick consequence of a proposition or theorem that was proven recently.

#### Why are postulates not proven in geometry?

A postulate (also sometimes called an axiom) is a statement that is agreed by everyone to be correct. Postulates themselves cannot be proven, but since they are usually self-evident, their acceptance is not a problem. Here is a good example of a postulate (given by Euclid in his studies about geometry).

#### How do postulates work?

A postulate is an assumption, that is, a proposition or statement that is assumed to be true without any proof. Postulates are the fundamental propositions used to prove other statements known as theorems. Once a theorem has been proven it is may be used in the proof of other theorems.

Are postulates accepted without proof?

Postulates are accepted as true without proof. A logical argument in which each statement you make is supported by a statement that is accepted as true. In a conditional statement, the statement that immediately follows the word if.

## What are other differences of postulate and theorem?

Postulates and theorems are two common terms that are often used in mathematics. A postulate is a statement that is assumed to be true, without proof. A theorem is a statement that can be proven true. This is the key difference between postulate and theorem. Theorems are often based on postulates.

## What is a real world example of postulate?

An example of postulate is the fact that the world is not flat to support the argument of strong scientific development over the centuries. Postulate is defined as to claim, demand or assert something as truth. An example of postulate is to require equality. An example of postulate is to defend the existence of God.

Does a postulate need to be proved?

Postulate is a true statement, which does not require to be proved. More About Postulate Postulate is used to derive the other logical statements to solve a problem. Postulates are also called as axioms.

### What is the different between postulate and theory?

Postulate is a see also of theory. As nouns the difference between postulate and theory is that postulate is something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument while theory is (obsolete) mental conception; reflection, consideration. As a verb postulate is to assume as a truthful or accurate premise or axiom, especially