Proving statements false.

We look at strategies for disproving mathematical statements, focusing on universal statements and existential statements.

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Books I like:

Abstract Algebra:

Differential Forms:

Number Theory:

Analysis:

Calculus:

My Filming Equipment:

[marienbad]

These are fun to watch! I love how he proves things. I feel like I am getting smarter just from watching these!

[goodplacetostop]

0:44 Almost a good place to stop
8:55 Good place to stop

[vacuumcarexpo]

This is the toughest question to solve just looking at the thumbnail❗

[deepakgoswami]

Hey ! Please make video on the topic that why sphere has lowest surface area and volume ratio

[RandomBurfness]

At 8:50, Michael says, "We've proven this is a false statment by contradiction", but no what's happened is the statement has been DISPROVEN by negation. Just a tiny detail that doesn't mean much when you already have the hang of writing a proof, but it's worth having that subtle distinction in your head when you learn how to write proofs!

[rockinroggenrola]

At 4:00, you disprove the claim that for all natural numbers, n^2-n+13 is prime. However, you use the counter example n=13. Wouldn't n=2 be a simpler counter example that still works?

[taufiqutomo]

Error: tried this to covidiots, didn't work. Facing much heavier resistance than expected.

[adithyan]

Michael Penn,
Are you an atheist ?

Not that it has anything to do with this video..
I'm just curious 🧐