could you explain?
2006-11-16 08:51:53 · 7 answers · asked by girlie [♥] 3 in Education & Reference ➔ Homework Help
no laws require proofs
theorems get proved to become laws
2006-11-16 08:53:42 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Everyone is getting their terms mixed up.
An axiom is an assumed law -- no proof required or given.
A hypothesis is an unproven theory, aka postulate.
A theorem is a proven hypothesis.
Once proven and accepted, a theorem doesn't require proof. It already has a proof.
The question is equivalent to asking if driving requires a driving test. Yes, to be legal, you need to take and successfully pass a driving test before you can drive. However, you don't need to take a driving test every time you get behind the wheel. You do it once (prove), it gets accepted (becomes a theorem), and you can drive from that point on (can be used as a proof for another hypothesis).
2006-11-16 17:33:48 · answer #2 · answered by George C 3 · 0⤊ 0⤋
Yes! I can assure you that they require proofs.
A theorem is a statement that HAS to be proven, based on logic and previous knowledge that has been already proven to be true.
Axioms are those that are considered true without proof, and there are the fundamental basis in proving other things like theorems.
For example Pythagoras' theorem about the relations between the sides of a right triangle had to be proven before being used in geometry. And infact, it can be proven in different ways.
The fact that you don't have to prove it every time you use it means just that it has been proven once and accepted as true. But no theorem is valid without being proved true.
2006-11-16 17:07:06 · answer #3 · answered by Insignificant Other 1 · 0⤊ 0⤋
Yes, they do. Laws must be proved before they become laws, or else we couldn't be positive of their accuracy.
Think of a theorem (let's call it theorem 4.8) as something small you learn to solve bigger problems. Well, certain theorems, postulates, and rules numerically prior to theorem A (4.7, 4.6...) may be used to prove 4.8. That's how theorems come to be, it's all about using what we know to find out what we don't know. Hope this helped, at least a bit.
2006-11-16 17:00:37 · answer #4 · answered by *Pulchra_Puella* 2 · 0⤊ 0⤋
not at all coz theorems are ideas that have been accepted or proposed as true
.
2006-11-16 17:01:46 · answer #5 · answered by ~nothing^^~ 2 · 0⤊ 0⤋
in India,the students are required to prove theorems.I donot know if it is required in USA
2006-11-16 17:10:34 · answer #6 · answered by alpha 7 · 0⤊ 0⤋
Yes.
2006-11-16 17:08:36 · answer #7 · answered by Stacye S 3 · 0⤊ 0⤋