how is a theorem different from a postulate?
2007-01-27 09:14:01 · 3 answers · asked by Felicia F 1 in Science & Mathematics ➔ Mathematics
A postulate is a statement that is so obvious it is accepted as true without proof. Example "A straight line can be drawn between any two given points." is a postulate. It has never been formally proven, but it is accepted as true wuthout proof.
A theorem is a statement that has been proven using nothing but axioms, postulates, and definitions. Example "If two lines intersect, then the vertical angles are equal." This is a theorem as it is has been and can be easily proven.
2007-01-27 09:28:05 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
You accept that a postulate is true as a rule of a game
A theorem must be proven using all the postulates you put at start
Example Take the chess game:
The way pieces move are rules(postulates)
The way you play a party is a theorem using those rules(postulates)
2007-01-27 17:58:32 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋
A theorem is a statement that is proven to be a true.
A postulate is an assumption accepted without proof.
2007-01-27 17:20:09 · answer #3 · answered by Ali 2 · 0⤊ 0⤋