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Re: A Genuine Question In Mathematical Philosophy

Posted: December 5th, 2018, 2:24 am
by hanahana
this is a very useful post...well done






Graduated from Soran University with First Class Degree with Honours in Computer Science

Re: A Genuine Question In Mathematical Philosophy

Posted: December 10th, 2018, 6:53 am
by Steve3007
There's an interesting sum of a geometrical series in the song "Take It Easy" by The Eagles. It goes like this:

"I'm running down the road trying to loosen my load,
I got 7 women on my mind,
4 that want to own me,
2 that want to stone me,
1 says she's a friend of mine.
Take it easy. Take is easy.
Don't let the sound of your own wheels drive you crazy."

But the trouble is, The Eagles didn't finish this geometrical progression (in which each number is 0.5 times the previous one). If they had finished it to infinity, would the total number of women on the songwriter's mind by 8, not 7? And would it be acceptable, after the first 3 terms, for him to have an infinite number of women's body parts on his mind?

Re: A Genuine Question In Mathematical Philosophy

Posted: December 10th, 2018, 8:45 am
by Tamminen
Steve3007 wrote:
December 10th, 2018, 6:53 am
There's an interesting sum of a geometrical series in the song "Take It Easy" by The Eagles. It goes like this:

"I'm running down the road trying to loosen my load,
I got 7 women on my mind,
4 that want to own me,
2 that want to stone me,
1 says she's a friend of mine.
Take it easy. Take is easy.
Don't let the sound of your own wheels drive you crazy."

But the trouble is, The Eagles didn't finish this geometrical progression (in which each number is 0.5 times the previous one). If they had finished it to infinity, would the total number of women on the songwriter's mind by 8, not 7? And would it be acceptable, after the first 3 terms, for him to have an infinite number of women's body parts on his mind?
And could he imagine what a half of a hydrogen atom looks like?

Re: A Genuine Question In Mathematical Philosophy

Posted: May 15th, 2019, 9:00 am
by Alan Masterman
Thank you everybody for the privilege of your attention. I deliberately refrained from joining the discussion because I wanted to see how it would develop without my input. But mainly, because I lost the thread and took this long to find it again.

The balance of responses, by and large, appear to support my thesis that the science of mathematics is NOT the monolithic, logically-perfect entity that the layperson tends to assume it is. There are many mutually-inconsistent areas. I thank especially Steve3007, Nameless, Mathman, and Halc for their inputs.

Re: A Genuine Question In Mathematical Philosophy

Posted: May 15th, 2019, 2:56 pm
by Felix
Steve3007: "If they had finished it to infinity..."

That would be contrary to the song's advice: "Take it easy. Take it easy. Don't let the sound of your own wheels drive you crazy."

Happens all the time here, i.e., the sound of people's own cognitive wheels driving them crazy.

Re: A Genuine Question In Mathematical Philosophy

Posted: May 15th, 2019, 11:01 pm
by Alan Masterman
Philosophically speaking, the fundamental question is: what is the smallest possible number? One can represent it various ways, eg:

h

0.0...1

1/(whatever symbol for infinity can be copied accurately to this message box)

The Planck Number

Re: A Genuine Question In Mathematical Philosophy

Posted: June 7th, 2019, 1:30 am
by Sealight
Hi Alan Masterman,
Are you asking about the smallest positive real number? Just want to clarify it for myself before to continue.
And by the way what makes you sure that 1/infinity is a real number?
Thanks.

Re: A Genuine Question In Mathematical Philosophy

Posted: June 22nd, 2019, 10:39 am
by detail
Tamminen wrote:
December 10th, 2018, 8:45 am
Steve3007 wrote:
December 10th, 2018, 6:53 am
There's an interesting sum of a geometrical series in the song "Take It Easy" by The Eagles. It goes like this:

"I'm running down the road trying to loosen my load,
I got 7 women on my mind,
4 that want to own me,
2 that want to stone me,
1 says she's a friend of mine.
Take it easy. Take is easy.
Don't let the sound of your own wheels drive you crazy."

But the trouble is, The Eagles didn't finish this geometrical progression (in which each number is 0.5 times the previous one). If they had finished it to infinity, would the total number of women on the songwriter's mind by 8, not 7? And would it be acceptable, after the first 3 terms, for him to have an infinite number of women's body parts on his mind?
And could he imagine what a half of a hydrogen atom looks like?
The problem is that easy is not measurable in numbers, thats why he didn't finish via total induction.