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With an indirect proof, you temporarily assume that the opposite of what you're trying to prove is true. For example, let's say I'm trying to prove that the sky is blue. With an indirect proof, I would first say: "Assume temporarily that sky is not blue..." and go from there. Eventually, I will reach a contradiction and with this contradiction I can assume that this route of thinking is false, therefore my proof must be true.

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Q: How does an indirect proof lead to the desired conclusion?
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Related questions

What is indirect approach?

The indirect approach is a communication strategy that involves presenting information in a roundabout or subtle way rather than directly stating it. This approach is often used to soften negative feedback, address sensitive topics, or persuade others without being confrontational. It can involve using questions, stories, analogies, or examples to lead the audience to a desired conclusion.


When you begin an indirect proof do you assume the inverse of what you intend to prove is true?

Yes, that's how it is done. Assuming the contrary should eventually lead you to some contradiction.


What is antidotal?

A grammatical mistake. It is meant to say "anecdotal evidence" which is evidence that may be true but could be unreliable and may or may not lead to the desired conclusion. It is as opposed to "scientific evidence" which may be held as reliable.


What does data analysis lead to?

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What is antidotal evidence?

A grammatical mistake. It is meant to say "anecdotal evidence" which is evidence that may be true but could be unreliable and may or may not lead to the desired conclusion. It is as opposed to "scientific evidence" which may be held as reliable.


What does Finding an answer to a question often lead to?

a conclusion/result


A valid argument can have a false conclusion True or False?

True. A valid argument can have a false conclusion if the premises logically lead to that conclusion even though it is not true. Validity in logic refers to the structure of the argument, regardless of the truth or falsity of the premises or conclusion.


What is scientific investigation?

A scientific observation is data , a hypothesis , and well a conclusion. Your observing or testing something that can lead you to your conclusion


What is the difference between direct and indirect taxes?

A direct tax is one that is taken directly from the individual, such as income tax. Indirect taxes, such as sales tax, are collected by merchants and taken from the consumer. Indirect taxes also lead to inequalities while direct taxes do not.


What mistake is the reason that lead to an invalid conclusion?

One mistake that can lead to an invalid conclusion is using faulty logic, such as making hasty generalizations or relying on anecdotal evidence. It's important to ensure that the reasoning process is sound and based on reliable information and logical arguments to reach a valid conclusion.


What refers to identifying and choosing solutions that lead to a desired end result?

creativity


What term defined as anything that can distort data and lead to inaccurate conclusion?

error