>"On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos"

>PLUNGED INTO CHAOS

Were the Jesuits right all along?

We did listen for about 300 years.

If .999... = 1 doesn't that mean that an infinitesimal is exactly equal to 0 since 1-.999...=0?

they never equal

Then why does 1/3 (ie .333..) + 1/3 + 1/3 equal exactly 3/3 ie 1?

.333... is not exactly 1/3

it is tho

Yeah 2+2 isn't 4 but 0.333 is 1/3

Welcome to r/math friendo!

4 is divisible by 2, 10 is not divisible by 3

It doesn't, it's just one of the kinks of the base 10

1/3 and 0.333 arent equal dumbass

x = 0.9999999...

10x = 9.9999999...

10x - x = 9

9x = 9

x = 1

0.99999... has to equal 1 for arithmetic to work. Its okay if you don't believe in it or like it, its practically inconsequential, like cardinality of infinites.

Does this proof work in reverse, or if either of the terms are substituted at any time?

>Does this proof work in reverse

Yes, because 0.999... = 1

>An interesting thread immediately derailed by the same old stupid shit

an infinitesimal can cause 0 to read negative. this approximation is called... negative zero.

step 1) 9 * -infinitesimal = 0 + nine negative infinitesimals

step 2) -0 * infinity = -9

owO where did that come from

well infinitesimals are just another number plane, much like i, one that bonds to four different places: infinity, zero, negative zero, and negative infinity. when a number disappears from the number plane, maybe it isn't infinitely large, or infinitely small... maybe the multiplier it was hit with was so forceful it sent the number hurdling into a different dimension....... spooooky

amir alexander seems to be rather stupid. he starts the book presenting church resistance to atomism as resistance to the notion of infinitesimals, since he cannot tell the difference.

BTFOd: https://www.amazon.com/review/R27I6QBFOZKF38

lawlz

Without infinitesimal infinity there's no such thing as free will. One would think christcucks would have been all over the idea. Or maybe they thought only the soul could be infinitely divisible while the world was mechanistic.

They were 100% right. Infinitesimals are to math as smartphones are to the internet. It's too much power for normies.

Why do you expect serious answers on a board which is 99% inhabited by schizos, morons, ESLs and pajeets? The only reason for the 1% of educated and rational English speaking people to post here is to troll and shit on the 99% for their own entertainment.

But yes, they were right. And the day will come when those GOD CURSED INFINITY LOVING SODOMITES are put to the sword in the name of all that is good, decent, and Holy. Amen.

> educated and rational

> native English speakers

Mutt hands typed this

>Im a israelite and not happy with the Status Quo

Many such cases

should i read this?

That's the beauty of citations. You don't have to!