What is the difference between a statement and a hypothesis?

In mathematics, really logic a hypothesis is "If P then Q".

 

A statement is a sentence that is declared true or false.

I see. I had the impression that a hypothesis was more like "P" and a theorem was "If P then Q".

 

What is a theorem?

 

A side note. A statement is sort of a binary axiom?

Edited May 10, 201015 yr by hobz

In logic, a statement is something that has a truth value (True or False). Statements can be put together to make other statements.

 

In science, a hypothesis is a claim that, if assumed to be true, can be used to make specific predictions about the real world.

 

In math, a theorem is something that has been proven true (granted certain axioms).

Excellent!

Is there a different meaning to hypothesis in maths?

---

Merged post follows:

Consecutive posts merged

Wikipedia http://en.wikipedia.org/wiki/Theorem equates a theorem to a statement proven true and says that the theorem consists of hypotheses and a conclusion which is a necessary consequence of the hypothesis.

---

Merged post follows:

Consecutive posts merged

Suggesting that the definitions are different depending on which topic they are used in.

Yeah, there's another meaning of Hypothesis when you are doing statistics.

A theorem is a statement that has been proven to be true.

 

A proof is a series of logical, irrefutable steps/arguments from one collection of statements to another.

---

Merged post follows:

Consecutive posts merged

Suggesting that the definitions are different depending on which topic they are used in.

 

This is often true of many things, even within different branches of the same science.