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What else can I help you with?
Which term best describes in which you assume the opposite of what you want to prove?
Contradiction or indirect proof.
For every line segment there is exactly one midpoint?
Yes. It is a theorem. To prove it, use contradiction.
Which term best describes a proof in which you assume the opposite of what you wan to prove?
Proof by contradiction (APEX)
Which term best describes a proof in which you assume the opposite of what you want to prove?
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
True or false In the body of an indirect proof you must show that the assumption leads to a 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.
What does one begin by assuming to prove a statement by contradiction?
To prove a statement by contradiction one begins by assuming the statement is not true. Contradiction is the act of giving the opposing something that you feel is not right.
To prove a statement by contradiction one begins by assuming the statement?
opposite
What is a contradiction of a statement?
A contradiction of a statement is a statement that proves the previous statement wrong.
Contradiction is proved by what statement?
In general a contradiction cannot be proved.
How can we demonstrate the validity of a statement using proof by absurdity or contradiction?
To demonstrate the validity of a statement using proof by absurdity or contradiction, we assume the opposite of the statement is true and then show that this assumption leads to a logical contradiction or absurdity. This contradiction proves that the original statement must be true.
How do you prove a conjecture is false?
Prove that if it were true then there must be a contradiction.
Can you provide examples of self-contradiction in logic?
Self-contradiction in logic occurs when a statement contradicts itself or leads to a logical inconsistency. One example is the statement "This statement is false." If the statement is true, then it must be false, but if it is false, then it must be true, creating a paradox. Another example is the statement "I always lie," which leads to a similar contradiction.
How do you use contradictin a sentence?
The statement was a contradiction in itself.
What is indirect reasoning?
Indirect reasoning is a method of proving a statement by showing that its negation leads to a contradiction or inconsistency. Instead of proving a statement directly, one assumes the negation of the statement and derives a contradiction to demonstrate that the original statement must be true.
What is the difference between a contradiction and a paradox?
A contradiction is a statement or situation that is logically inconsistent, while a paradox is a statement or situation that seems contradictory but may actually be true or make sense in a different way.
What part of speech does the word contradiction belong in?
The word "contradiction" is a noun. It refers to a statement, situation, or person that is inconsistent or untrue when compared to another.
What does implicitly contradictory mean?
An implicit contradiction, as opposed to an explicit contradiction, is hidden within the logical structure of the statement. If you figure it out, you will discover that there is a contradiction. Explicit contradictions don't have to be figured out, they merely have to be pointed out.
