Pythagorean theorem

Yeah.

Yeah, thank God I learned Pythagoras' Theorem.

Thank God, that's really helped me

out.

Uh, there are mathematical theorem-proving programs.

Now, you know, some of these things can prove things that, you know, mathematically way over my head, but let's take something simple like the Pythagorean Theorem, which we all learned in high school, and we learned how to prove the Pythagorean Theorem in Euclidean geometry, starting with the various axioms of Eucl- Eu- Euclidean geometry.

You know, bum, bum, bum, bum, bum, bum, bum, bum, bum.

This proves the Pythagorean Theorem.

And it turns out there's a variety of proofs of the Pythagorean Theorem, and in fact, computer program has come up with a proof that, as far as was known, nobody in the world had ever come up with before.

Well, other than prejudice, what would stop us from saying the program was being creative? Not just in the sort of mathematical things like chess or, or math.

Uh, there are, as you know, programs that can write music, and I don't just mean throw out some random assortment of notes.

Calculating something e no pass further maths.

Hypotenuse of my Pythagoras.

Mister mister turn down the bass.

Shey maker I maker I turn up the pace.

And, um, When you look at the geometric earthworks in Ohio and central Indiana, West Virginia, Kentucky, they were constructed using advanced mathematics where we knew that they were squaring circles, that they would have a circle and a square with a circumference of the circle would match the perimeter of the square.

And they were using Pythagorean triangles in building rectangles.

And at Newark, the actual earthworks were spaced as a Pythagorean triangle.

Isosceles triangles being used.

Trigonometry, square roots of numbers, pi, they're using that.

They recently found a tablet, a Babylonian tablet.

And this tablet was like a workbook, but it was triangles.

And it was the mathematics in the Pythagorean Triangles.

That was a question mark.

We'd ask you to tell us what the 15-point denominator was of Pythagoras' Theorem.

So, three.

So, three or more.

We are teaching these models how to design even, you know, for content.

So if you wanna teach Pythagoras theorem or a circle geometry tomorrow, as a teacher, these models are being designed on productive failure principles to actually do that, so that it can support the work of the teacher in the classroom.

So again, we, we, we, we are, especially for learning situations, we are doing a lot of work on training the models to both design and facilitate learning in the right way, uh, because now we do have data to train them.

Uh, whereas in the...

God's Word has everything, the Bible says, everything we need to live a life that is pleasing to God according to God's plan.

The Word of God will not tell you what the Pythagorean Theorem is, but the Word of God will tell you, if you lack wisdom, ask God, and He will give it generously without finding fault.

The Bible has what is essential to every situation in life, essential according to the plan of God for you and for me.

It has everything, therefore, it is a buffet.

You can triangulate it on the map using your distance or whatever.

Like, the easiest way you could do Pythagoras or something like that.

There are, like, artillery calculators out there where you can, like, put your coordinates in and put the, like...

I can't be bothered with that, like, doing that in-game.