So what's the derivative here?

It's just the derivative operator.

So let's see, this first one that our differential equation I'll do this one in blue our differential equation is the second derivative, y prime prime plus 4y prime plus 5y is equal to 0.

This right here is our derivative intuition module.

All it really is derivatives is the slope of the tangent line at any point.

What I've done here is what's called a derivation.

like a little squirrely thing is just the antiderivative.

The symbol formula_4 is traditionally used to denote the corresponding derivative formula_5.

What is cool about it is it really helps to conceptualize what a derivative is all about.

Logic Shapes

Same logic.

Deductive reasoning.

It says, ok you have done it right and it then drew the whole slope of the derivative and what the entire derivative is saying, is at any point this is the slope of the tangent line.

Welcome to the presentation on the indefinite integral or the antiderivative.

So y is equal to the antiderivative essentially, or the indefinite integral of the expression 2x.

Because d is the letter used for differential, I guess.

And you often hear another type of reasoning, inductive reasoning.

For example, this differential equation, I don't see an i anywhere here.

The PET covers three areas quantitative reasoning, verbal reasoning and the English language.

Reason and the End of Poverty

Sokoban like Logic Game

Blackbox Logic Game

It's the selective logic.

Same logic right here.

It's just logic.

That's the sense!

So now we'll actually be able to figure out a particular solution, or the particular solution, for this differential equation.

We have our particular solution to this sorry where did I write it to this differential equation with these initial conditions.

This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead.

We'll look at propositional logic and categorical logic, that'll be part two of the course.

But that is a poor rationale.

It makes sense to the audience.

So, in a sense, there's not much new.

Where's the logic?

And same logic over here.

That's inductive reasoning.

And it's the same exact logic.

Realize the cold, calculating logic here.

Now the same logic applies when we roll multiple dice.

I can use the same logic.

That's common sense.

Your mind refuses to face the conclusion.

We don't want reason.

as well as inexorable logic and clarity.

In the name of reason, pull yourself together.