By definition, a theorem is a proven statement- until a proof is made for a statement, it is not a theorem but rather a conjecture. Whether you need to be able to reproduce the proof of a known theorem is another matter. If you trust the prover, I think you can make use of a theorem without knowing the proof. However, studying the proof can give you valuable insights into what the theorem really means and how it might be used. Also, reading proofs made by other people can help you prove you own theorems and write them up coherently.
Theorems
LL , La , HL and Ha
Malkiel's theorems summarize the relationship between bond prices, yields, coupons, and maturity. Malkiel's Theorems paraphrased (see text for exact wording); all theorems are ceteris paribus: · Bond prices move inversely with interest rates. · The longer the maturity of a bond, the more sensitive is its price to a change in interest rates. · The price sensitivity of any bond increases with its maturity, but the increase occurs at a decreasing rate. · The lower the coupon rate on a bond, the more sensitive is its price to a change in interest rates. · For a given bond, the volatility of a bond is not symmetrical, i.e., a decrease in interest rates raises bond prices more than a corresponding increase in interest rates lower prices.
He created a formula and mathematically proved his theory.
An axiomatic system in mathematics is a system of axioms that can be used together to derive a theorem. Axiomatic systems help prove theorems in mathematics.
Yes, theorems - once they have been proved - are valid evidence.
They are propositions that have been proved to be true.
Must Be Proved Before They Can Be Accepted As True
Axioms and logic (and previously proved theorems).
a branch of mathematics in which theorems on geometry are proved through logical reasoning
A theorem is a statement that has been proven by other theorems or axioms.
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.
Postulates are accepted as true without proof, and theorems have been proved true. Kudos on the correct spelling/punctuation/grammar, by the way.
A theorem is a statement or proposition which is not self-evident but which can be proved starting from basic axioms using a chain of reasoned argument (and previously proved theorems).
Theorems are important statements that are proved.
No. A postulate need not be true.
There are whole classes of theorems that can be proved to be unable to be proved "True" or "False" . I know it sounds like gibberish but think of the sentence"This statemant is False." . Have a search for "Kurt Godel".Hope this helps.