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Q: Why It is true or false the an indirect proof is a type of proof in which a statement to be proof is assumed false?

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It is a type of indirect proof: more specifically, a proof by contradiction.

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".

It is true.

false

False

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It is a type of indirect proof: more specifically, a proof by contradiction.

An indirect proof is another name for a proof by contradiction. This is where the original premise is assumed to be false and then attempted to be proven. Because this proof turns out to be false, the original premise is then true.

Assume a statement true and then show it must be false

TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.

TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.

There cannot be a proof because the statement is not true. Nowhere does the statement say that the sides are straight.

false

false

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".

It means to proof with a statement that is assumed true and if the assumption leads to an impossibility, then the statement is false and you have to create a new one. You use variables, its not necessary to use numbers and make a real equation. -ccs

False...A postulate is a statement that does not require proof! P.S.: I know this is late, but I hope it helps!

False (Apex)