THE INTUITIVE CALCULUS
Differential Calculus, (Part I.)
Calculus is stupid. Calculus is for extroverts. It’s either totally
easy, or you learn calculus. Calculus is about thinking —-wait
that’s for philosophers.
The origin is a variable. The derivative is the angle of a line —-
that’s a small thing somehow, however, isn’t it? The process
might be unlimited. Even the opposite mathematics has its limits.
It also may have no function. There are no opposites in calculus:
there are only functions. Structures are imaginary. Applied
calculus is the tough part—for which you have your handy
You can’t be on the side of calculus—- Calculus just IS. One thing
to know is that calculus always has a power. If you input zero you
get zero, just like in algebra.
Advanced concepts in calculus:
1. Everything of value is outside calculus.
2. Maybe +3.
3. Calculus for all integers.
That’s just an idea.
It’s arbitrary in God’s logic is one of the first things I learned.
Even now in calculus there is a division between professors who
teach calculus as intuition and those that teach it as pure
mathematics. Ultimately there may be more than one way to do
calculus but remember, calculus is stupid , or you’re a genius.
Towards the end of his life, Leibniz lamented: what’s human
about calculus? So, calculus does have a downside. I’ll leave that
as a puzzle.
Concluding Remarks of the First Lesson
Sometimes we think calculus is a disease. Sometimes we think it
is not logical at all. But mostly we think it is a highly useful
thinking tool. Perhaps you’ll side with the Leibniz who thought it
was inhuman, or perhaps you’ll side with the Leibniz who brought
it upon himself to invent calculus.
Integral Calculus (Part II.)
Wrong! Doubly wrong! Specifics don't matter. Form a hypothesis,
then throw it away! Apply the existing hypothesis, be
conventional. Get it right! It concerns science! Be scientific!
Clouds are clocks! Simplify always! Stay distanced from your
work. Or pull an Einstein. Know. Philosophy is contraband. The
rest is history.
Posterior Calculus (Part III.)
Now, I told you it wasn't about philosophy, but it is! All you need
to know at first is Delta V. Whatever you interpret from is
analytic a posteriori. Because you know you will get what
results—- You have to begin somewhere, so you begin with the
effect of an unseen cause. The cause is analytic. Delta V. is when
you attach an effect to a cause—-And you call it —- what do you
call it? Analytic. The rest is logic… I’m sure you can figure it out.
It depends on the case.
Applied Calculus (Part IV.)
Advanced calculus, also called applied calculus, is summarized by
a particular range of modes or conceptual functions:
Range: "And other languages besides English" (extending the
Importance: Bounded or Unbounded, Finite or Infinite.
Definition or No Definition.
Conditions or Laws (parameters).
Identity: special function or no special function.
Creativity: "Unless we change the function".
Now a concluding remark we might owe to Immanuel Kant:
"For every dupe there is something doubtful...
For every doubt there is something dutiful."
Note: The above pieces can be seen as contributions to the
'simple calculus' or intuitive calculus
---Nathan Larkin Coppedge, 2016 (some materials based on lectures by Edmund Scarpa and one of Michael J. Coppedge's advanced studies professors).