0
False
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True or false A theorem is a statement that is deductively proven to be true.?
False. It is proven to be true IF some axioms are assumed to be true. A mathematical statement can be proven to be true only after some axioms have been assumed.
If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true?
No
If the statement If I am hungry then I am not happy is assumed to be true is its converse If I am not happy then I must be hungry also always true?
The Answer: NO
If the statement if i am not hungry then im not happy assumed to be true then its inverse if i am not hungry then i must be happy also true?
No. In fact, it cannot be true.
If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true A. No B. Yes?
No
If the statement If it is midnight then the sun is not shining is assumed to be true is its negation If it is not midnight then the sun is shining also always true?
No, it is not.
If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true A.No B.Yes?
It’s no
Is every statement a theorem why?
There are many kinds of statement that are not theorems: A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be. A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication. A statement can be false. A statement can be self-contradictory for example, "This statement is false".
What is a proof in math?
"In mathematics, a proof is a demonstration that if some fundamental statements (axioms) are assumed to be true, then some mathematical statement is necessarily true." (from Wikipedia)
If the statement if I am hungry then I am not hungry is assumed to be true is its inverse if I am not hungry then I must be happy also always true?
No
If the statement If it is midnight then the sun is not shining is assumed to be true is its reverse If the sun is not shining then it is midnight also always true and nbspA.No and nbspB.Yes?
No, it is not necessarily true
What is the difference between an axiom and a theorem?
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
