User talk:Oilstone: Difference between revisions
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: "halving all parts in order to double their number proves nothing", Elf 1735 isn't exactly considerate or civil either. But I will let him have the final say in the matter. And yes, I should not have posted the comment, and I promise I won't do it again, but I'm not a passionless [[Stoicism|Stoic]]. [[User:Oilstone|Oilstone]] ([[User talk:Oilstone#top|talk]]) 16:49, 20 August 2012 (UTC) |
: "halving all parts in order to double their number proves nothing", Elf 1735 isn't exactly considerate or civil either. But I will let him have the final say in the matter. And yes, I should not have posted the comment, and I promise I won't do it again, but I'm not a passionless [[Stoicism|Stoic]]. [[User:Oilstone|Oilstone]] ([[User talk:Oilstone#top|talk]]) 16:49, 20 August 2012 (UTC) |
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Any line segment can be divided continuously ad infinitum. At all times, with each division, the length of each part shortens by a half, while at the same time, the number of parts multiplies by two. So, how can an infinite number of parts, no matter how small they are, make up a finite whole? Because for ''every'' division, not just some but all, the lengths of the parts are reducing as fast as the number of parts are increasing. This means that even as the number of divisions tends to infinity, the corresponding halving of each part keeps the original line segment's length intact. |
Any line segment can be divided continuously ad infinitum. At all times, with each division, the length of each part shortens by a half, while at the same time, the number of parts multiplies by two. So, how can an infinite number of parts, no matter how small they are, make up a finite whole? Because for ''every'' division, not just some but all, the lengths of the parts are reducing as fast as the number of parts are increasing. This means that even as the number of divisions tends to infinity, the corresponding halving of each part keeps the original line segment's length intact. |
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Revision as of 00:49, 21 August 2012
Welcome
Welcome!
August 2012
Hello, I'm Mysterytrey. I noticed that you made a comment on the page User talk:Machine Elf 1735 that didn't seem very civil, so I removed it. Wikipedia needs people like you and me to collaborate, so it’s one of our core principles to interact with one another in a polite and respectful manner. If you think I made a mistake, or if you have any questions, you can leave me a message on my talk page. Thanks, Mysterytrey 16:07, 20 August 2012 (UTC)
- "halving all parts in order to double their number proves nothing", Elf 1735 isn't exactly considerate or civil either. But I will let him have the final say in the matter. And yes, I should not have posted the comment, and I promise I won't do it again, but I'm not a passionless Stoic. Oilstone (talk) 16:49, 20 August 2012 (UTC)
Any line segment can be divided continuously ad infinitum. At all times, with each division, the length of each part shortens by a half, while at the same time, the number of parts multiplies by two. So, how can an infinite number of parts, no matter how small they are, make up a finite whole? Because for every division, not just some but all, the lengths of the parts are reducing as fast as the number of parts are increasing. This means that even as the number of divisions tends to infinity, the corresponding halving of each part keeps the original line segment's length intact.