How do you show that something exists with math? | Intro to Math Structures VS1.5

Existence arguments are fundamental in proof based mathematics, and often they require one of two things, construction of the thing you say exists, or showing that you would break math if that thing did not exist. In this video we go through some ideas about and examples of existence arguments for someone just learning to write proofs.

My Kofi Page:
_____________________
_____________________

WHAT GEAR I USED FOR THIS VIDEO:

DISCLAIMER: Links included in this description may be affiliate links. If you purchase a product or service with the links that I include here, I may receive a small commission. There is no additional charge to you! Thank you for supporting my channel and for helping me create these free videos!

[Vt]

Bro your videos are really amazing 👍🏻❤.
Love from India

[susanafaciolince]

there is another one, which i’ve only seen in one context. a professor was talking about some results in descriptive set theory, and they were trying to do some proof, of the kind of “for all things with this property, they have this other property”. but then… it turned out it was false. someone showed the existence of a counter example by showing that the class of objects that satisfy the hypothesis and the class of objects that satisfy the conclusion are different. so there must be something that contradicted that hypothesis. to this day, no one knows how to get to a concrete counter example.