Why are direct proofs often considered better than indirect proofs?

Paloma Sanford 2022-10-26 Answered
Why are direct proofs often considered better than indirect proofs?
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Momellaxi
Answered 2022-10-27 Author has 14 answers
A direct proof often provides more information: if, for example, you want to show that there exists a number with some property, then a direct proof is much more likely than an indirect proof to tell you what that number actually is. This is also true for more complicated statements: if you want to prove "For all x there is some y such that [stuff]," you probably also want to know a particular function spitting out such a y for each given x. Again, a direct proof is much more likely to provide that information to you.
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