What Are the Top Resources for Learning to Prove True Statements?

  • MHB
  • Thread starter bwpbruce
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In summary, the best resource for learning how to do problems that ask you to "Show that this is true" or "Prove that this is true" may vary for each individual. However, a good place to start would be by searching online for techniques for writing math proofs. Additionally, the website proofwiki.org offers a comprehensive collection of math proofs and techniques, while books on proof writing can also be found through resources such as Math.StackExchange.
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bwpbruce
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What is the best resource for learning how to do problems that ask you to "Show that this is true" or Prove that is this is true"?
 
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bwpbruce said:
What is the best resource for learning how to do problems that ask you to "Show that this is true" or Prove that is this is true"?

Don't know what would be considered a "best" resource in general ... have a look at the entries from this Google search.

techniques for math proofs

 
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Some books that teach proof writing are mentioned in this and linked questions on Math.StackExchange.
 

FAQ: What Are the Top Resources for Learning to Prove True Statements?

How do you prove a statement is true?

To prove a statement is true, you need to provide evidence or logical reasoning that supports the statement. This can include using mathematical equations, scientific experiments, or logical deductions.

Can a statement be proven true without evidence?

No, a statement cannot be proven true without evidence. Evidence is necessary to support the validity of a statement and without it, the statement remains unproven.

What is the difference between a true statement and a valid argument?

A true statement is a factual statement that can be supported by evidence. A valid argument, on the other hand, is a logical sequence of statements that leads to a conclusion. A statement can be true, but an argument can only be valid if the statements within it are logically connected.

What is the role of counterexamples in proving a statement true?

Counterexamples can be used to disprove a statement. If one counterexample can be found, it shows that the statement is not true in all cases. However, the absence of counterexamples does not necessarily prove a statement to be true.

Is it possible to prove a statement to be true beyond a doubt?

It is not possible to prove a statement to be true beyond a doubt. In science, all statements are subject to change and revision based on new evidence or discoveries. However, with enough evidence and support, a statement can be considered highly probable or widely accepted as true.

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