 |
| →→→→ |
 |
TOPIC: TORTOISE'S PARADOX |
|
|
|
Posted on Mar.08.2007 @ 09:27PM EDT by boymonk
In the paradox of Achilles and the Tortoise, we imagine the Greek hero Achilles in a footrace with the plodding reptile. Because he is such a fast runner, Achilles graciously allows the tortoise a head start of a hundred feet. If we suppose that each racer starts running at some constant speed (one very fast and one very slow), then after some finite time, Achilles will have run a hundred feet, bringing him to the tortoise's starting point; during this time, the tortoise has "run" a (much shorter) distance, say one foot. It will then take Achilles some further period of time to run that distance, in which said period the tortoise will advance farther; and then another period of time to reach this third point, while the tortoise moves ahead. Thus, whenever Achilles reaches somewhere the tortoise has been, he still has farther to go. Therefore, Zeno says, swift Achilles can never overtake the tortoise. Thus, while common sense and common experience would hold that one runner can catch another, according to the above argument, he cannot; this is the paradox.
The moral of the story is, of course, don't run a foot race with a tortoise if you're an imbecile.
|
|
↓Go to Latest Reply
|
→Reply to this Topic
|
|
| |
|
|
Reply from 77 zen ror
Mar.08.2007
09:34PM EDT
→Email 77 zen ror
|
|
How are you . I have not seen any one on for a very long time RORY |
|
|
|
→Quote & Reply
→Post Reply
69474
|
|
| |
|
|
Reply from boymonk
Mar.08.2007
10:10PM EDT
|
|
You get a big hugy, (((((77 zen ror))))). |
|
|
|
→Quote & Reply
→Post Reply
69477
|
|
| |
|
|
Reply from ______
Mar.09.2007
05:46AM EDT
|
|
I comes home when the lights are out on
I puts my key in the door
I's particular brand of neurosis means
I's not around no, not no more
It's a modern romance
The streets are bright and shiny
The wind whistles up my favourite tree
When the trees whistle
The wind come running
|
|
|
|
→Quote & Reply
→Post Reply
69478
|
|
| |
|
|
Reply from ______
Mar.09.2007
06:14AM EDT
|
|
Aim long shot and no hitty target
Arrow fly through first half distance
Then through second half distance
Then through third half distance
Arrow can not hitty target
A flight in paradox |
|
|
|
→Quote & Reply
→Post Reply
69480
|
|
| |
|
|
Reply from boymonk
Mar.09.2007
02:05PM EDT
|
|
Ok folks, in effort to boost popularity I promise a hug to anyone who posts in this thread, starting with myself. (((boymonk))) |
|
|
|
→Quote & Reply
→Post Reply
69498
|
|
| |
|
|
Reply from -----0
Mar.09.2007
02:08PM EDT
|
|
Zeno's point is that subject can never attain the object of its desire. Achilles can overtake the tortoise, because is faster, but he can never get to it.
|
|
|
|
→Quote & Reply
→Post Reply
69499
|
|
| |
|
|
Reply from boymonk
Mar.09.2007
02:10PM EDT
|
|
Except for -----0 |
|
|
|
→Quote & Reply
→Post Reply
69500
|
|
| |
|
|
Reply from -----0
Mar.09.2007
02:19PM EDT
|
|
:( |
|
|
|
→Quote & Reply
→Post Reply
69502
|
|
| |
|
|
Reply from lehish
Mar.09.2007
03:25PM EDT
→Email lehish
|
|
hehehehehehe
( ( ( -----0 ) ) ) |
|
|
|
→Quote & Reply
→Post Reply
69503
|
|
| |
|
|
Reply from boymonk
Mar.09.2007
05:27PM EDT
|
|
(((Leheheheheish!))) |
|
|
|
→Quote & Reply
→Post Reply
69504
|
|
| |
|
|
Reply from Woodsman
Mar.09.2007
10:20PM EDT
|
|
Begin, as the beginning. |
|
|
|
→Quote & Reply
→Post Reply
69506
|
|
| |
|
|
Reply from lehish
Mar.10.2007
12:55AM EDT
→Email lehish
|
|
(((b(o(y(m)o)n)k))) |
|
|
|
→Quote & Reply
→Post Reply
69514
|
|
| |
|
|
Reply from Woodsman
Mar.10.2007
07:44AM EDT
|
|
Pet monkey. Word junkie. |
|
|
|
→Quote & Reply
→Post Reply
69521
|
|
| |
|
|
Reply from Lynnoh
Mar.10.2007
11:41AM EDT
→Email Lynnoh
|
|
but is this so true... that they should not ever meet? no matter where the distance ran... still in one place....? |
|
|
|
→Quote & Reply
→Post Reply
69527
|
|
| |
|
|
Reply from boymonk
Mar.10.2007
01:36PM EDT
|
|
WOW, you're a great hugger, Lehish!
(((Lynn, oh Lynn!)))
I'm a little homophobic so a little shoulder pat is the best I can do, Woodsman ' ' ' |
|
|
|
→Quote & Reply
→Post Reply
69529
|
|
| |
|
|
Reply from -----0
Mar.10.2007
01:41PM EDT
|
|
{{{{{lehish}}}}} |
|
|
|
→Quote & Reply
→Post Reply
69530
|
|
| |
|
|
Reply from -----0
Mar.10.2007
01:47PM EDT
|
|
Sometimes, in our dreams, the object of our desire is at hand, but still we can't reach it, no matter how much we try, it always escapes us by some puzzling miracle . . . |
|
|
|
→Quote & Reply
→Post Reply
69531
|
|
| |
|
|
Reply from ______
Mar.10.2007
03:38PM EDT
|
|
Ok here it is: I give Tortoise a head start of 100 feet in a race of 99 feet, so she's already over the finish line before the race starts. Then I give Tortoise a head start of 100 feet in a marathon. When I catch up with Tortoise, I stop, bend down, pick her up and we play BullShit Bingo on the way. |
|
|
|
→Quote & Reply
→Post Reply
69532
|
|
| |
|
|
Reply from boymonk
Mar.10.2007
07:02PM EDT
|
|
(((Rustic!))) |
|
|
|
→Quote & Reply
→Post Reply
69533
|
|
| |
|
|
Reply from 77 zen ror
Mar.10.2007
08:59PM EDT
→Email 77 zen ror
|
|
How are you doi'ng MONK |
|
|
|
→Quote & Reply
→Post Reply
69534
|
|
| |
|
|
Reply from ______
Mar.11.2007
04:57AM EDT
|
|
Changing illusory pace and direction, misfit underdogtortoises, outsiders in a church of outsiders, we play I-spy. (I know a chicken called Penguin who won't compete-race either. She just wants to eat corn, drink, scratch in the earth, take dust-baths, doze and sleep on a perch, day and night.) Anyway, Tortoise's legs come out and start moving and those big limpid tortoise eye-pools eventually demand, "Put me down!" So returning her to clover she meets Hare. She points to a book of Buddhist scriptures and asks, "How much of their content was Buddha's and how much came from demons?" Hare immediately replies, "They are all the demons." "Excellent," says Tortoise, in between succulent bites of purple-red-white flowers, "now no one will be able to pull the wool over your eyes." |
|
|
|
→Quote & Reply
→Post Reply
69538
|
|
| |
|
|
Reply from boymonk
Mar.11.2007
12:03PM EDT
|
|
Not bad, 77, lots of work to do, all of which was due last week but other than that it's all good. Thanks for asking.
How you dew'n? |
|
|
|
→Quote & Reply
→Post Reply
69543
|
|
| |
|
|
Reply from Lynnoh
Mar.11.2007
05:39PM EDT
→Email Lynnoh
|
|
Quote: "Ok here it is: I give Tortoise a head start of 100 feet in a race of 99 feet, so she's already over the finish line before the race starts. Then I give Tortoise a head start of 100 feet in a marathon. When I catch up with Tortoise, I stop, bend down, pick her up and we play BullShit Bingo on the way."
.........
hahaha |
|
|
|
→Quote & Reply
→Post Reply
69545
|
|
| |
|
|
Reply from Lynnoh
Mar.11.2007
05:53PM EDT
→Email Lynnoh
|
|
Quote: "Not bad, 77, lots of work to do, all of which was due last week but other than that it's all good. Thanks for asking.
How you dew'n?"
.........
due last week ! then it will never get done oh...no..... I suppose you could go back to where it was due tomorrow?..oh...no.... then enough time...
vending machine |
|
|
|
→Quote & Reply
→Post Reply
69549
|
|
| |
|
|
Reply from Lynnoh
Mar.11.2007
06:01PM EDT
→Email Lynnoh
|
|
nope... that will never due |
|
|
|
→Quote & Reply
→Post Reply
69551
|
|
| |
|
|
Reply from Woodsman
Mar.11.2007
10:37PM EDT
|
|
Ah do herr!
Riceball...
|
|
|
|
→Quote & Reply
→Post Reply
69559
|
|
| |
|
|
Reply from lehish
Mar.12.2007
04:34AM EDT
→Email lehish
|
|
danc -----0 ing
|
|
|
|
→Quote & Reply
→Post Reply
69561
|
|
| |
|
|
Reply from lehish
Mar.12.2007
04:35AM EDT
→Email lehish
|
|
boy :) monk! |
|
|
|
→Quote & Reply
→Post Reply
69562
|
|
| |
|
|
Reply from boymonk
Mar.12.2007
04:34PM EDT
|
|
Ok I'm all hugged out for this thread so anyone who wants to post further paradoxes around our good friend Achilles may do so without fear of pseudo personal space invasion from yours truly (that would be me). Cheers! |
|
|
|
→Quote & Reply
→Post Reply
69577
|
|
| |
|
|
Reply from Woodsman
Mar.12.2007
04:37PM EDT
|
|
Don't be hugging the glass... you said. |
|
|
|
→Quote & Reply
→Post Reply
69579
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
04:37PM EDT
→Email Lynnoh
|
|
((())) is space psedo space invasion? |
|
|
|
→Quote & Reply
→Post Reply
69580
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
04:38PM EDT
→Email Lynnoh
|
|
ha! just the question was wanting to ask ! |
|
|
|
→Quote & Reply
→Post Reply
69581
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
04:49PM EDT
→Email Lynnoh
|
|
hello? |
|
|
|
→Quote & Reply
→Post Reply
69582
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
04:52PM EDT
→Email Lynnoh
|
|
hm... good day |
|
|
|
→Quote & Reply
→Post Reply
69583
|
|
| |
|
|
Reply from boymonk
Mar.12.2007
04:52PM EDT
|
|
(((W(o(o(d(s(m(a(n(&)L)y)n)n)o)h))) Haha! tricked you guys again, when will you ever learn. Me moonwalking like only a tortoise can, hehe! |
|
|
|
→Quote & Reply
→Post Reply
69584
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
04:54PM EDT
→Email Lynnoh
|
|
to be tricked one has to know they have been tricked don't they? |
|
|
|
→Quote & Reply
→Post Reply
69586
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
04:55PM EDT
→Email Lynnoh
|
|
I haven't a clue what you mean |
|
|
|
→Quote & Reply
→Post Reply
69587
|
|
| |
|
|
Reply from boymonk
Mar.12.2007
05:01PM EDT
|
|
I don't think Achilles ever knew he was tricked either, if that's any consolation, Lynnoh. |
|
|
|
→Quote & Reply
→Post Reply
69594
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:04PM EDT
→Email Lynnoh
|
|
oh... the consulation is in being the same with another |
|
|
|
→Quote & Reply
→Post Reply
69597
|
|
| |
|
|
Reply from boymonk
Mar.12.2007
05:13PM EDT
|
|
Me not moonwalking anymore :( |
|
|
|
→Quote & Reply
→Post Reply
69602
|
|
| |
|
|
Reply from Woodsman
Mar.12.2007
05:14PM EDT
|
|
That's ok. |
|
|
|
→Quote & Reply
→Post Reply
69603
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:15PM EDT
→Email Lynnoh
|
|
ok :) |
|
|
|
→Quote & Reply
→Post Reply
69604
|
|
| |
|
|
Reply from ______
Mar.12.2007
05:19PM EDT
|
|
ok, yeah, just back from the vet surgery. |
|
|
|
→Quote & Reply
→Post Reply
69606
|
|
| |
|
|
Reply from boymonk
Mar.12.2007
05:25PM EDT
|
|
How'd that go, Rustic? |
|
|
|
→Quote & Reply
→Post Reply
69611
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:26PM EDT
→Email Lynnoh
|
|
please do tell |
|
|
|
→Quote & Reply
→Post Reply
69612
|
|
| |
|
|
Reply from ______
Mar.12.2007
05:37PM EDT
|
|
It's all my fault. I tried cutting some goose-grass burrs that had got all matted up in our cat Willow's fur and ended up cutting a hole in her skin. |
|
|
|
→Quote & Reply
→Post Reply
69617
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:38PM EDT
→Email Lynnoh
|
|
oh... |
|
|
|
→Quote & Reply
→Post Reply
69618
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:40PM EDT
→Email Lynnoh
|
|
had a cyst on my face removed years ago...and it just felt like that.... the cutting after numbing..... I could hear it..... |
|
|
|
→Quote & Reply
→Post Reply
69620
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:42PM EDT
→Email Lynnoh
|
|
like a ripple. and oh |
|
|
|
→Quote & Reply
→Post Reply
69621
|
|
| |
|
|
Reply from ______
Mar.12.2007
05:54PM EDT
|
|
No complaints or reproaches even as I cut her skin - she made only the smallest of sounds when I did it - of course this made me feel even worse. The vet gave her antibiotic and painkiller injections and wants to see her again tomorrow, possibly to put a couple of stitches in the wound. Couldn't do that tonight because she had just eaten and would need a general anaesthetic. |
|
|
|
→Quote & Reply
→Post Reply
69626
|
|
| |
|
|
Reply from Lynnoh
Mar.12.2007
05:57PM EDT
→Email Lynnoh
|
|
um... I have to go gassho |
|
|
|
→Quote & Reply
→Post Reply
69627
|
|
| |
|
|
Reply from boymonk
Mar.12.2007
09:35PM EDT
|
|
Send love to Willow, your stoic cat for me, Rustic, and best wishes for a speedy recovery. |
|
|
|
→Quote & Reply
→Post Reply
69632
|
|
| |
|
|
Reply from -----0
Mar.13.2007
01:39PM EDT
|
|
In another of his paradoxes Zeno says that in order to come to the end of the path we must first cover half of it, and to cover half, we must first cover one quarter of it and so on.
It is being on the path that matters, not reaching the end of it. |
|
|
|
→Quote & Reply
→Post Reply
69640
|
|
| |
|
|
Reply from ______
Mar.13.2007
03:00PM EDT
|
|
Thank you boymonk. The vet did a good job and she's back home with us now. |
|
|
|
→Quote & Reply
→Post Reply
69641
|
|
| |
|
|
Reply from boymonk
Jun.28.2011
11:40PM EDT
|
|
Hey,
I posted this paradox FOUR YEARS AGO. I would think that that was enough time for you all to think it over.
So... how did you resolve the paradox?
|
|
|
|
→Quote & Reply
→Post Reply
126775
|
|
| |
|
|
Reply from Woodsman
Jun.28.2011
11:43PM EDT
|
|
acausality |
|
|
|
→Quote & Reply
→Post Reply
126777
|
|
| |
|
|
Reply from boymonk
Jun.28.2011
11:53PM EDT
|
|
001011111011010111111011011100100010000100100000010110100100110100000100101001001010110100010001100000000010011110111001000110001100000010011001101110
010011110010111110001101000101010010010111110000000111001111010011111010010110110101001101111000010000111100011010010111011100010010011011011111110011
000100000100100001111010001110111001101111000110111001110011100100110110101110011001100110100100111110101100011001000011010110000110010010100001011000
111100011001000000111000101100011001001111010110001101101101001111101000000010000101011001011000111001110011011010011101011000001001110010110111011100
000100000110010100011111011010101111100000100010010111011000011001001101001000110010000001000010101101101010110111101000100011111111110010000110111000
010110000110011101011011011101101001100001110001011100001110100000011100100110110111000011001000011101000110100100010101100010010100101110110101001011
101101010010001111101111001110000100001010000001010111011111011101000110111001000111010001011000001001101100111011011001111111010011010000101110011000
011010101011111100001011101011111101011100101011001111100001111001100001000001101000110000010101100011010010010011110001000110100010010101011011000110
001000100010010101000110111011110110100000111001011010111100100001101111110000001011000000010101111011111000110001111000011010111101011110101010011101
111010010101001110110011011000010111000110011101011010101101000010111010011011010001010111000011000111100100000110010111001100000100101111010000001010
111001011011110000100100000010010100110010111100111010001011010000110010110001111111000010110001001011001001100110000010101101000100100110011000100010
100001101010001111001001111111100011001011101011001111001010011111001010111111101010101011001001110010101001011111010111111000101101100000001111100111
100101111100111010000100111011100101010110011101010101110101100001011101001001000111000000101100011111001101010010000011100010010010001101010010010000
010011001110101100001100100010000000011111001101100100001001110110110110101010001110000101011101100111111101100011110100000001111111111111001011110111
001110100011100100010000110100011111111011011101011101111011111110111011011000111000011110100101111110100000100100010000111101110111111000100010001111
100100111011111001011100001011000111001110011101110000101001111000001011000000111100001000000000101000111110101100010110101101101110111011111100001001
010000110000110000001100111011011000001001111001111111001101010000011011110000111110100010001101111001100110001101010000011101011011000011011000111101
000100100001100001001011011000110001101111001101011010010000110010000100110001001111111110011111101001110010101001000011011000110101111011100000001111
011000111001001000110100000101110111110001011100110100011110100101100111111100010011111110011110111010000111001110011111101011001100011010111101001110
101110001010001110110011101010000001110010011000000100111110001000110010000001001000011101110111101101011010010111011110001001110100001000101100000110
100000101011100000000010100001000001101010111011001111101101111111101110100101110010000101001001010001101010010011001010000000001001000010101001010100
010110100100100011011100001100101100100000000111001000000110100000001100001001000000001011111010010111010000110111010000001011001100010011100001001110
001010010011100101011011110010101100010100011100000110011101001101001001001000100101010101110111101011011100101000001100101001010000101110001001101101
110010000110101011101110110001100010001100001001101110101010110100001001101000011011100000111001100011001100001111110000100101001111000000011100011110
001001000001101001010010101110000100110110010011011000100100000001111111100110011110111111101010101110101001100100101010010010111110001011010011010111
110010100110011010110011010001001000110001111101001000010000110000111110100111001011111100100100001101101000100011110111011101001001001001000011110011
110110100011010001100100010000111101110001000011111000100000010101011101110010100111001001101100110010001110000111010000100100001101101011011001101010
010101011001001111011000011011000001111010001111110010100000100100110011100000011101101001101001011110101010110111000010110000101110101100001001011101
001001001000101110110100010010010011110111001101011100111100111011011110010011011011100000101101011100000011011100101011100100011001100110100011010110
000011000111100101101100010011101000011111001110011101001100000111111001011001100110110101001110010100111111000111100111110010000101111011000110000101
101011001111000000011011010000101101111011000110011001101101001101100101011101010000110011111111111111110100100010101000100001100001111001001100010100
101101001000011100111111100011110100001100001010011110010101110010110100100010010001110011100111101000001000101001000101100001001101111110001110111100
001111110111010001101001101011100010101110101100001101111100011100000110010100001001111000001100010011110001101001011111110111100000100001000111001000
000111101101000110011111010101010010111011111111001111000001000100100100100101111000111001011001101110110010010110111000011010101010000010000011110000
001010011001000011100011111010110000111111001000110111001110000001011011110001000101001111010001010110001100000011011010101000000101011011110001111101
101111001100001110001101000001100100011100100000000010111001010000111111100010000001110010000101110001001001111111011011001111000000011101110011001110
100101011001110100000111001000110111011001000101001111111010001010010110110000011011111111101001111111110011001011100001001100000101111111101011110100
100000101011100011000111001110111100000000111110111011110110101111011010111111011110001010000011000100001100111011011001111100001100100000111010110000 |
|
|
|
→Quote & Reply
→Post Reply
126779
|
|
| |
|
|
Reply from boymonk
Jun.28.2011
11:54PM EDT
|
|
... and well worth the wait. |
|
|
|
→Quote & Reply
→Post Reply
126780
|
|
| |
|
|
Reply from Joe Chip
Jun.29.2011
07:40PM EDT
|
|
Nyom nyom nyom nyom nyom. |
|
|
|
→Quote & Reply
→Post Reply
126808
|
|
| |
|
|
Reply from genericzen
Jun.30.2011
05:34PM EDT
→Email genericzen
|
|
when turtle combines with rabbit
women laugh
|
|
|
|
→Quote & Reply
→Post Reply
126840
|
|
| |
|
|
Reply from lazena
Jun.30.2011
05:55PM EDT
|
|
nah, I just googled it ;)
http://www.mathacademy.com/pr/prime/articles/zeno_tort/index.asp
"Now, since motion obviously is possible, the question arises, what is wrong with Zeno?"
|
|
|
|
→Quote & Reply
→Post Reply
126841
|
|
| |
|
|
Reply from lazena
Jun.30.2011
06:02PM EDT
|
|
So the moral of the story would be:
If you a running, just run. If you are thinking, just think. Don't try to do both :P
|
|
|
|
→Quote & Reply
→Post Reply
126842
|
|
| |
|
|
Reply from Chryseis
Jul.02.2011
01:44AM EDT
|
|
The tortoise is 'the way' |
|
|
|
→Quote & Reply
→Post Reply
126868
|
|
| |
|
|
Reply from Chryseis
Jul.02.2011
02:02AM EDT
|
|
capital W, rather |
|
|
|
→Quote & Reply
→Post Reply
126869
|
|
| |
| ←Back To Topic List |
|
↑Go to Top of Page |
MEIJI SHRINE