The meaning of infinity

[steve_bank]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

 

[steve_bank]

A short book I used to have on infinite series and sequences. It is an easy read. Chep Dover reprint, or EBOOK. Dover is a source of cheap math and science paperbacks that went out of print. Cheap way to build a library.

https://www.amazon.com/Infinite-Sequences-Dover-Books-Mathematics/dp/0486601536

 

[untermensche]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

 

[Phil Scott]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

So you don't need calculus for pharmacy, fine. You do need calculus if you want to understand why posts such as yours here consist of a bunch of illiterate non-sequiturs.

 

[Speakpigeon]

it was discovered that the existence of hyperreals are equiconsistent with reals, and that they were the basis for a differential calculus with out need for limits, and a model to legitimise the logic you find in Newton and Leibniz' genuine infinitesimal calculus.
(...)
They are worth talking about here.

As I understand it, transcendental numbers can only be defined as limits of infinite series in the Reals. If the Hyperreals can do away with limits in the case of differential calculus, can they do the same trick for transcendentals? Including perhaps the non-computable ones?
EB

 

[Speakpigeon]

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

So you don't need calculus for pharmacy, fine. You do need calculus if you want to understand why posts such as yours here consist of a bunch of illiterate non-sequiturs.

That is "a colossal waste of time".
EB

 

[steve_bank]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

There are people who pursue math as entertainment. You keep repeating infinity is impossible, infinite must have a beginning, and other statements over and over. You are not up to and open minded enough to discuss.I think you are exhibiting math envy syndrom.

 

[untermensche]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

There are people who pursue math as entertainment. You keep repeating infinity is impossible, infinite must have a beginning, and other statements over and over. You are not up to and open minded enough to discuss.I think you are exhibiting math envy syndrom.

I never said infinity must have a beginning.

I have said a series can only progress from a defined element. It cannot progress from infinity.

I have said a directional progression must begin in order to progress. You cannot progress from "no beginning". If the beginning can slip away to infinity then there is no beginning and there can be no progression.

I have said a real infinity is impossible, not infinity.

Infinity is a mathematical concept.

And of course there are many people interested in math.

And many interested in stamp collecting.

And many interested in knitting.

At least with knitting you get something out of the exercise.

 

[bilby]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

So you don't need calculus for pharmacy, fine. You do need calculus if you want to understand why posts such as yours here consist of a bunch of illiterate non-sequiturs.

 

[untermensche]

There are areas in math that could be called esoteric, useful to a relative few.

The rest of it is hardly esoteric, it is common. Business students take calculus, statistics, and linear algebra. Economic and manufacturing models are mathematical. Logistics problems.

untermench is practicing wilful ignorance to justify avoiding the effort to learn. High school kids do calculus.Walk into a bookstore and see the math/science section. Online tutorials.

It is comforting to be ignorant and dismiss knowledge. I can not imagine not knowing how technology works and being a blind consumer relying on technology. That would scare the hell out of me. Knowledge is power.

Engineers use calculus.

Pharmacists do not. Ever.

For most people it is completely esoteric.

There is absolutely no need to know it. They have no use for it.

Saying calculus is necessary knowledge is like saying everybody needs a crane.

It is just a tool.

And only a few people actually use it.

So you don't need calculus for pharmacy, fine. You do need calculus if you want to understand why posts such as yours here consist of a bunch of illiterate non-sequiturs.

Another snipe I see.

Your rant empty of any argument is noted.

How do you have infinite slices of some finite space without also having the smallest possible slice?

If you can never have the smallest possible slice you of course prove my point.

A real infinity is impossible.

All that is possible is the definition of an infinite operation.

You do know what the word "real" means?

It means you can observe it.

 

[untermensche]

So you don't need calculus for pharmacy, fine. You do need calculus if you want to understand why posts such as yours here consist of a bunch of illiterate non-sequiturs.

View attachment 16688

You don't read very well. I said algebra is very useful knowledge for most people.

They will use their grades in calculus to get into a good university where their grades in calculus might get them into a grad school where their knowledge of calculus might be needed and then use their degrees to get a good job.

Then for most never need calculus again.

Like doctors and pharmacists and podiatrists.

 

[steve_bank]

There are people who pursue math as entertainment. You keep repeating infinity is impossible, infinite must have a beginning, and other statements over and over. You are not up to and open minded enough to discuss.I think you are exhibiting math envy syndrom.

I never said infinity must have a beginning.

I have said a series can only progress from a defined element. It cannot progress from infinity.

I have said a directional progression must begin in order to progress. You cannot progress from "no beginning". If the beginning can slip away to infinity then there is no beginning and there can be no progression.

I have said a real infinity is impossible, not infinity.

Infinity is a mathematical concept.

And of course there are many people interested in math.

And many interested in stamp collecting.

And many interested in knitting.

At least with knitting you get something out of the exercise.

Why are you here? Obviously not to learn or explore. You post a lot but say it is boring. What's up with that?

 

[untermensche]

There are people who pursue math as entertainment. You keep repeating infinity is impossible, infinite must have a beginning, and other statements over and over. You are not up to and open minded enough to discuss.I think you are exhibiting math envy syndrom.

I never said infinity must have a beginning.

I have said a series can only progress from a defined element. It cannot progress from infinity.

I have said a directional progression must begin in order to progress. You cannot progress from "no beginning". If the beginning can slip away to infinity then there is no beginning and there can be no progression.

I have said a real infinity is impossible, not infinity.

Infinity is a mathematical concept.

And of course there are many people interested in math.

And many interested in stamp collecting.

And many interested in knitting.

At least with knitting you get something out of the exercise.

Why are you here? Obviously not to learn or explore. You post a lot but say it is boring. What's up with that?

I said there are specialists that use it and people that find it interesting.

What I find interesting are the problems when you try to force invented imaginary concepts, like infinity, onto reality.

You need to look harder.

You are not responding to my words.

 

[steve_bank]

Why are you here? Obviously not to learn or explore. You post a lot but say it is boring. What's up with that?

I said there are specialists that use it and people that find it interesting.

What I find interesting are the problems when you try to force invented imaginary concepts, like infinity, onto reality.

You need to look harder.

You are not responding to my words.

As has been said, to understand the concepts probably requires calculus, it deals with infinities in a few ways. Without a foundation all you can do is throw stones and dig your heels in. Infinity describes a real occurence in math, and as asymptotes infinities manifest in real physical systems. Poles and zeros in Complex Variables.

Any more an we go round and round without progress.

Again why are you here? For me my views on science, philosophy, and religion have evolved here over time. Exposure to people I would not have met. I am better for it.

 

[phands]

Pharmacists do not. Ever.

Depends on what kinds of Pharmacist you mean....

https://prezi.com/8nhyp8o2arh-/pharmacy-using-calculus/

Most drugstore pill pushers don't use it, but the basis of pharmacokinetics and pharmacodynamics is both Integral and Differential Calculus.

 

[untermensche]

[
Pharmacists do not. Ever.

Depends on what kinds of Pharmacist you mean....

https://prezi.com/8nhyp8o2arh-/pharmacy-using-calculus/

Most drugstore pill pushers don't use it, but the basis of pharmacokinetics and pharmacodynamics is both Integral and Differential Calculus.

Sure.

 

[phands]

[
Pharmacists do not. Ever.

Depends on what kinds of Pharmacist you mean....

https://prezi.com/8nhyp8o2arh-/pharmacy-using-calculus/

Most drugstore pill pushers don't use it, but the basis of pharmacokinetics and pharmacodynamics is both Integral and Differential Calculus.

Sure.

Your image doesn't show up. Neither does whatever point you were attempting to make with that one-word "reply". You stated that pharmacists NEVER used calculus...I refuted that statement.

 

[untermensche]

Sure.

Your image doesn't show up. Neither does whatever point you were attempting to make with that one-word "reply". You stated that pharmacists NEVER used calculus...I refuted that statement.

It means there is nothing you can tell me about the real practice of pharmacy.

Working pharmacists, clinical pharmacists never use it.

Only researchers use it. And only a fraction of them.

 

[phands]

Sure.

Your image doesn't show up. Neither does whatever point you were attempting to make with that one-word "reply". You stated that pharmacists NEVER used calculus...I refuted that statement.

It means there is nothing you can tell me about the real practice of pharmacy.

Working pharmacists, clinical pharmacists never use it.

Only researchers use it. And only a fraction of them.

Are those researchers the REAL pharmacists?

 

[untermensche]

It means there is nothing you can tell me about the real practice of pharmacy.

Working pharmacists, clinical pharmacists never use it.

Only researchers use it. And only a fraction of them.

Are those researchers the REAL pharmacists?

You don't need to be a pharmacist to do pharmaceutical research.

Most of the pharmaceutical research is done by pharmacologists not pharmacists.

What else do you want to learn?