true
Which of the following are accepted without proof
True
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.
True
false
An indirect proof is a proof by contradiction.
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.
true
False
False
True
false
An indirect proof is a proof by contradiction.
contradiction
Given a proposition X, a regular proof known facts and logical arguments to show that X must be true. For an indirect proof, you assume that the negation of X is true. You then use known facts and logical arguments to show that this leads to a contradiction. The conclusion then is that the assumption about ~X being true is false and that is equivalent to showing that X is true.
Proof by contradiction is also known by its Latin equivalent, reductio ad absurdum.
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.