Direct Proofs

In this first video in our mathematical proof series, (the slightly injured) Ben discusses direct proofs and shows two examples.

[@tlhomotsemoteme2423]

You just made my life a little bit easier! Thank you.

[@wendya2309]

That last part of the 2nd example after we are at -a(n+m). i dont get how that shows a|b+c

[@centerofmath]

Hi Hwen Dee,
We are able to conclude that a divides b+c since we have shown b+c is of the form a(n+m), i.e., it is an integer multiple of a. Any integer multiple of a must also be divisible by a, so we conclude that a|b+c.

[@wendya2309]

Worldwide Center of Mathematics thanks!

[@johnbake9304]

so science is inductive?

[@pauloat]

Excellent video! proofs are my favorite part of maths!

[@chopped4skin620]

Excellent - thanks! I see they've just started introducing this into A'level maths edexcel