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Conjectures and statements differ primarily in their nature and certainty. A statement is a declarative sentence that can be classified as true or false, while a conjecture is a proposition that is believed to be true based on observations or patterns but has not yet been proven. Essentially, all conjectures are statements, but not all statements are conjectures; some may be established facts. Conjectures often serve as hypotheses in mathematical and scientific contexts that require further investigation or proof.

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1mo ago

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How do you use the ideas of logic with conditional if then statements to verify valid conjectures and refute 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.


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.


Do conjectures explain a proof?

No. Conjectures are "good" guesses.


What are good conjectures?

Good conjectures are statements or propositions that are testable and based on observed patterns or evidence. They should be specific enough to allow for investigation, yet broad enough to warrant exploration and potential generalization. A strong conjecture often leads to further questions and research, encouraging deeper inquiry into a subject. Additionally, good conjectures should be falsifiable, meaning they can be proven true or false through experimentation or logical reasoning.


In geometry you can use deductive rules to?

In geometry, deductive rules can be used to prove conjectures.


What is the largest integer that is not the sum of two or more different primes?

This is not known for sure, but if Goldbach's conjectures are true, then 2.


Fill in the blank In geometry youll often be able to use deductive rules to conjectures?

prove conjectures


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.


What rhymes with lectures?

Some words that rhyme with "lectures" are textures, conjectures, and ruptures.


How do you use the ideas of direct and indirect proof along with algebraic properties to verify valid conjectures and refute invalid conjectures?

14


What word is closely related to conjectures?

surmises


What type of thinking do you use to make conjectures?

inductive