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Earn +20 ptsQ: What is the math conjectures?
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Why do you need conjectures in math?
Because mathematics is a axiomatic system so that every new statement remains a conjecture until it is proved.
Are conjectures allowed in proofs?
Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.
How do you use the ideas of logic with conditional if-then statements to verify valid conjectures and refute invalid conjectures?
By creating a strong inference, you can then put your ideas to the test. After close observation, you can then rule-out any incorrect guesses.
What is a reasoning process that involves looking for patterns and making conjectures?
Inductive Reasoning
What kind of statement is a conjecture?
A conjecture is a statement that is believed to be true, but has yet to be proven. Conjectures can often be disproven by a counter example and are then referred to as false conjectures.
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