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High School
Geometry
High school geometry
Indirect Proof

Paloma Sanford

Answered question

2022-10-26

Why are direct proofs often considered better than indirect proofs?

Answer & Explanation

Momellaxi

Beginner2022-10-27Added 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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