Jeremiah

I am asking what specifically is impossible. It is an easy enough question. If you can't tell me what is impossible, then how can you say it is imposs...

What is it you think is impossible?

It is not even the right application for Occam's Razor.

If the paradox has been resolved, as you said, then you should be able to fully and clearly answer the question. Unless of course the paradox was neve...

Great, then tell me, does the barber shave himself?

No one here is claiming statistics are facts and in no respectable statistics text book is anyone rightfully claiming statistics are facts. In fact, t...

You have no clue what I am even talking about.

Did you even follow my meaning when I said delta x?

Yes it did, you are trying to do calculus without a delta x. You are doing it wrong, that is not a paradox just an error.

Because your understanding of calculus is very poor and incorrect.

The FTC is the total change F(b) - F(a) equal to the sum of small changes F(x of i) - F(x of i -1) and that is equal to the sum of the areas of rectan...

0+0 is not a change in x.

We went over this already, when you read the whole thread let me know.

I plan on posting more of these paradoxes, these are exactly the type of content mathematically incline philosophers should be turning their skills to...

Gabriel's Horn is a mathematical paradox, and, like I said before, this is the math section for discussion of math topics. Any mathematician of any so...

Not interested, stay on topic.

If you could, would that resolve the paradox?

I am sorry, but I answered your question, the fact that it went over your head is not something I care about. Now you are dragging this thread off top...

You might as well be asking Star Trek fans why they talk about Star Trek.

I'll give you a hint, it has nothing to do with a platypus.

Let me know if you figure it out.

It really does not matter the discrete being discussed here is really effectively discrete.

You don't have any empirical proof that movement is either discrete or continuous; however, mathematically, calculus can show net change and rate of s...

And I am sure that was your only take away.

Maybe this one is harder for people to sink their teeth into. Gabriel's horn is an object that exist in math which has finite volume, but infinite sur...

I don't really see you as an authority on what is and what is not a paradox. I mean all you have here is an assertion and a false one at that. On the ...

Well this is not my paradox, I didn't invent it. It is a well known paradox, and widely recognized as such. Also the mathematical proof is posted in t...

Claiming it is abstract does't prove that Gabriel's horn is not a mathematical conundrum.

Abstract things exist in reality, as reality is a very very very broad term.

Gabriel's horn exist in reality, the math was posted in the OP.

Any container or solid object that has an endless surface area, but a finite volume is paradoxical, abstractly or otherwise. Volume is the amount of s...

If you recall I never said or agreed to any such notion in the last thread. I avoid that line of thought for a reason. There is nothing which says we ...

The paradox, seems clear to me, we have a container that stretches on forever, yet it has a finite volume. The horn both converges and diverges, so it...

So you are suggesting if it was filled with paint, you could use a finite amount of paint to paint an endless surface. It seems to me, that you'd run ...

This one is a bit trickier and as far as I know it has not been resolved. So if we can't get it off the ground, I have others waiting.

Any thoughts on the horn?

Paradox or not, I think this one passed the mathematical conundrum standard, and it generated far more discussion than I expected.

I am not sure what you are referring to , perhaps you are thinking about one of the test for convergence. I would have to review them to be sure. I do...

You are describing infinite partial sums and if your series converges then you have net change, aka movement.

You have math degrees, but you never saw any of this in class?

It explains how we can have a finite net change from a to b with infinite partial sums, which is what the paradox was. How does Achilles achieve a net...

It's neat what I can do that with three little dots, right? Math is very cool.

I know they are a real thing, but then they are backed by real evidence.

I am sorry, but this is where I lose respect for philosophy. Zeno's paradox certainly doesn't prove such theories "must be correct". That is a very bo...

Because in math ". . ." means the pattern repeats forever and that was easier to type. You know shorthand.

That's the flawed assumption of Zeno's Paradox, that is what sequence and series resolved, a finite being can converge an infinite partial sums. Watch...

Real numbers are all whole numbers, rational numbers and irrational numbers and they are absolutely on the number line. Distance is definitely mapped ...

I said in that very post you qouted it converges to a finite number.

Infinitesimal infinite parts. There are more parts than I can count without approximating somehow or using calculus.

The paradox was solved by partial sums a long time ago.