A Genuine Question In Mathematical Philosophy
 hanahana
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Re: A Genuine Question In Mathematical Philosophy
this is a very useful post...well done
Graduated from Soran University with First Class Degree with Honours in Computer Science
Graduated from Soran University with First Class Degree with Honours in Computer Science
 Steve3007
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 Joined: June 15th, 2011, 5:53 pm
 Favorite Philosopher: Eratosthenes
 Location: UK
Re: A Genuine Question In Mathematical Philosophy
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?
"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?

 Posts: 1347
 Joined: April 19th, 2016, 2:53 pm
Re: A Genuine Question In Mathematical Philosophy
And could he imagine what a half of a hydrogen atom looks like?Steve3007 wrote: ↑December 10th, 2018, 6:53 amThere'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?

 Posts: 66
 Joined: March 27th, 2011, 8:03 am
Re: A Genuine Question In Mathematical Philosophy
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, logicallyperfect entity that the layperson tends to assume it is. There are many mutuallyinconsistent areas. I thank especially Steve3007, Nameless, Mathman, and Halc for their inputs.
The balance of responses, by and large, appear to support my thesis that the science of mathematics is NOT the monolithic, logicallyperfect entity that the layperson tends to assume it is. There are many mutuallyinconsistent areas. I thank especially Steve3007, Nameless, Mathman, and Halc for their inputs.
 Felix
 Posts: 3090
 Joined: February 9th, 2009, 5:45 am
Re: A Genuine Question In Mathematical Philosophy
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.
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.
"We do not see things as they are; we see things as we are."  Anaïs Nin

 Posts: 66
 Joined: March 27th, 2011, 8:03 am
Re: A Genuine Question In Mathematical Philosophy
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
h
0.0...1
1/(whatever symbol for infinity can be copied accurately to this message box)
The Planck Number

 Posts: 48
 Joined: July 19th, 2016, 11:25 am
 Location: Koenigsberg (7 bridges problem)
Re: A Genuine Question In Mathematical Philosophy
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.
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.
 detail
 Posts: 62
 Joined: June 1st, 2019, 1:39 pm
Re: A Genuine Question In Mathematical Philosophy
The problem is that easy is not measurable in numbers, thats why he didn't finish via total induction.Tamminen wrote: ↑December 10th, 2018, 8:45 amAnd could he imagine what a half of a hydrogen atom looks like?Steve3007 wrote: ↑December 10th, 2018, 6:53 amThere'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?