OR if you're at all familiar with the concept of a limit, they're not at all a problem.jean-luc wrote:Zeno's paradox becomes really, really nasty, actually.blue_tetris wrote:Zeno's paradoxes, I think.
For each 1 meters that the tortoise goes, Hercules can go 10. The tortoise gets a 10 meter headstart. Hercules catches up with the tortoise at 10 meters, the tortoise moves to 11 meters. Hercules catches up with the tortoise at 11 meters, the tortoise moves to 11.1 meters. OH NO THE TORTOISE CAN NEVER CATCH UP.
Without CALCULUS! that is.
11.(1)
You see, the matter you brought up is Zeno's Paradox of Achilles and the Tortoise, just one of his paradoxes. More interesting is Zeno's Paradox of the Dichotomy of Motion.
I'll use travel as an example. Lets say you want to move from Point A to Point B. You start walking. You get 1/2 of the way there. then 1/3. then 1/4. then 1/5. then 1/6. then 1/7. then 1/8. this goes right on to 1/∞. Although in reality we can go ahead and say that 1/∞ is 0, from a theoretical standpoint it isn't, which means that in reality we never really get to point B. we get infinitely near point B, but never actually there.
This applies to everything, basically meaning that everything is impossible (it gets infinitely close to occurring, but never actually does).
Calculus seems (claims) to have done away with both of these, but there is a large section of philosophers that believe that calculus cannot sufficiently resolve these paradoxes, particularly the Dichotomy of Motion, and so they still hang over mathematical philosophy.
How many 'frames' is real life?
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Of course, sometimes we can process things faster, or slower - but is it happening any faster? I don't think so.




<&Yanni> I've had an ambient song like this playing for a couple hours,
<&Yanni> Oh no wait that is MY AIR CONDITIONER
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<@Animator> :::: Techno was killed by a better music genre.
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<SouthyMcGee> Music is auditory art. What art is a different argument.
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<&sforzando> Alright, no 247MHz for you.
Previous Custom Member Titles: Cross-Country Sticker King 2k10, Doing Out the Girls, Outdoing the Girls, Lenny Laser-Tits, King Sanchez De La Cruz Magnifico IV: Return of Lenny Laser-Tits (current).
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See the last paragraph. A significant group of philosophers think that Zeno's Paradox of the Dichotomy of Motion has not been resolved.Tsukatu wrote:OR if you're at all familiar with the concept of a limit, they're not at all a problem.jean-luc wrote:Zeno's paradox becomes really, really nasty, actually.blue_tetris wrote:Zeno's paradoxes, I think.
For each 1 meters that the tortoise goes, Hercules can go 10. The tortoise gets a 10 meter headstart. Hercules catches up with the tortoise at 10 meters, the tortoise moves to 11 meters. Hercules catches up with the tortoise at 11 meters, the tortoise moves to 11.1 meters. OH NO THE TORTOISE CAN NEVER CATCH UP.
Without CALCULUS! that is.
11.(1)
You see, the matter you brought up is Zeno's Paradox of Achilles and the Tortoise, just one of his paradoxes. More interesting is Zeno's Paradox of the Dichotomy of Motion.
I'll use travel as an example. Lets say you want to move from Point A to Point B. You start walking. You get 1/2 of the way there. then 1/3. then 1/4. then 1/5. then 1/6. then 1/7. then 1/8. this goes right on to 1/∞. Although in reality we can go ahead and say that 1/∞ is 0, from a theoretical standpoint it isn't, which means that in reality we never really get to point B. we get infinitely near point B, but never actually there.
This applies to everything, basically meaning that everything is impossible (it gets infinitely close to occurring, but never actually does).
Calculus seems (claims) to have done away with both of these, but there is a large section of philosophers that believe that calculus cannot sufficiently resolve these paradoxes, particularly the Dichotomy of Motion, and so they still hang over mathematical philosophy.
When it comes to the limits of perception, I've generally been told that frame rates above 30fps are not differentiable to humans.

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A BIGGER BLARGH THAN BEFORE A BIGGER BLARGH THAN BEFORE
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that being said, I can definitely tell a difference between 60fps and 30fps, so either I'm abnormal or scientists lie

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Then a significant group of philosophers have no grasp of mathematics. I suppose it's to be expected, given that philosophy is an Arts subject.jean-luc wrote:See the last paragraph. A significant group of philosophers think that Zeno's Paradox of the Dichotomy of Motion has not been resolved.
Even without calculus, if you know that Hercules will pass the turtle after ten seconds, there is a flaw in looking at the positions at 9 seconds, then 9.9 seconds and so on, and yelling "Hey! If I only look at points in time before Hercules passes the turtle, I only see points in time where Hercules hasn't passed the turtle! Paradox! Paradox!"
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I kind of understand all of that, but by the time the tortoise hits 12 meters, wouldn't hercules be at 20? I know the paradox involves infinatly large decimals, but still.Atilla wrote:Then a significant group of philosophers have no grasp of mathematics. I suppose it's to be expected, given that philosophy is an Arts subject.jean-luc wrote:See the last paragraph. A significant group of philosophers think that Zeno's Paradox of the Dichotomy of Motion has not been resolved.
Even without calculus, if you know that Hercules will pass the turtle after ten seconds, there is a flaw in looking at the positions at 9 seconds, then 9.9 seconds and so on, and yelling "Hey! If I only look at points in time before Hercules passes the turtle, I only see points in time where Hercules hasn't passed the turtle! Paradox! Paradox!"

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Yup. Like I said, that's why this paradox isn't all that convincing even without fancy mathematics - it's pretty obvious that there is a clearly-defined time when Hercules passes the tortoise, it's just that the way the paradox is framed prevents you from looking at that point in time.BionicCryonic wrote:I kind of understand all of that, but by the time the tortoise hits 12 meters, wouldn't hercules be at 20? I know the paradox involves infinatly large decimals, but still.
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fps. or however fast your brain is.
Stop that with the friggin' zeroes!
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come ON adrenaline...start up already.
Can somebody grab a chainsaw and try to kill me?
Please?
I just want to see faster!
That sentence didnt make sense.

Orange- N cannot be spoken, or even thought about in my household. If my parents ever found out that I have played N since the cleansing, my life would be ruined. I keep the game in a multi-passworded .rar on a USB flash drive inside a locked boron alloy container that requires two keys to open (I keep one under the 64th hammer in my piano, and the other one in a small section of removable ceiling in the corner of the attic) hidden in a wall compartment lined with aluminium foil to prevent sonar detection behind my 375 kg cupboard, which is bolted to the floor - the only way to reach it is to abseil outside the fourth floor window and use a screwdriver to unfasten the screws holding the secret brick in place on the opposite side of the wall, but the screwdriver must be a specific type like the one I own, since if any other screwdriver comes into contact with the screws, the entire building will explode, as will a seperate charge placed inside the boron alloy container, rendering the USB useless. Even once the container is retrieved, attemping to open it without the arming pin in place (which is kept inside the battery compartment of my Maglite) will cause the water reservoirs lining the container to burst and react with the caesium lining, causing the container to burst into flames - the only way to prevent this is to use the arming pins to shut off the reservoirs with a sliding steel door. The USB itself contains an accelerometer linked to an explosive charge, meaning that if the USB detects its own movement speed as being greater than 5 cm/s, it will explode - any person attempting to steal it would have to move at a uselessly slow speed. Once plugged into a computer, the USB will upload a ghost virus onto it, leaving no traces. Only the right password can deactivate this virus, and if it is left on the computer for more than six hours, it will format all drives.
As you can see, I take my N playing very seriously.
Guiseppi- I'd much rather watch animals get boned in the ass.
Yanni- If it's glad, it's not rape.
Tsukatu- I refuse to use throw-away bags for such a frequent purpose as buying groceries. Instead, I've collected the hair of my two pet dogs and have woven them together into an all-natural, 100% environmentally friendly bag that I bring with me everywhere. And when I buy products that come in glass and plastic containers, I track down the company that packages them and ship back their containers so that they don't take up space in landfills.
Yeah, I use plastic.
Tsukatu- I hear Ebony Online is great, too. Cum save your princess, my lord!
Ska- UR MUM LIKE IS SPICY
Ska- why d i get the feeling what i typed will end up in the quote depository; or worse: someone's sig.
KinGAleX- I did it on the couch a little while ago.
Zeph- I got too pissed at the knife in the end so I just broke the wood on my knee
[13:50:29] |<-- Zeph has left irc.mountai.net (Quit: Zeph)
[13:50:53] <Zeph> omfg 1950s jazz
[13:50:57] <WorldCupE> ZEPH
[13:51:01] <WorldCupE> WHAT
[13:51:11] <WorldCupE> hpw
[13:51:12] <WorldCupE> how
[13:51:12] <Zeph> everyone wears out halfway through the match
[13:51:15] <WorldCupE> ._.
[13:51:17] <WorldCupE> you
[13:51:19] <WorldCupE> aren't
[13:51:20] <WorldCupE> here
[13:51:24] <WorldCupikaze> I think the broadcasters lowered the volume for certain frequencies
[13:51:35] <WorldCupikaze> WOAH
[13:51:38] <WorldCupikaze> STOP IT ZEPH
[13:51:46] <WorldCupE> he's in #n
[13:51:49] <WorldCupE> but not here
[13:51:58] <Zeph> that nz guy wasn't fouled
[13:52:05] <WorldCupikaze> DUBBLE YOO. TEE. EFF.
[13:52:05] <WorldCupikaze> STOPIT
[13:52:29] <WorldCupE> I don't think Zeph can read what we say
[13:52:38] <WorldCupikaze> No
[13:52:41] <WorldCupikaze> But it still happens
[13:52:46] <WorldCupE> xD
[13:52:47] <Zeph> holy shot I'm vibrating to 1950s relaxing jazz
[13:52:58] <WorldCupE> ZEPH
[13:53:01] <WorldCupE> CAN YOYU HEAR ME
[13:53:20] <WorldCupE> donfuy
[13:53:23] <WorldCupE> have you seen this
[13:53:35] <Donfuy> i can't
[13:53:43] <WorldCupE> can't what
[13:53:47] <WorldCupE> Zeph isn't here
[13:53:48] <WorldCupikaze> WHAT's GOING ON
[13:53:51] <WorldCupE> but is speaking
[13:53:51] <WorldCupE> D:
[13:53:58] <Donfuy> can't see what huh?
[13:54:06] <WorldCupikaze> IT'S THE APOCALYPSE
[13:54:10] <Donfuy> where's zeph o_o
[13:54:18] <WorldCupE> precisely
[13:54:21] <WorldCupikaze> Exactly
[13:55:21] <WorldCupikaze> call wide
[13:55:24] <Zeph> Pooh
[13:55:28] <WorldCupikaze> EH?
[13:55:37] <WorldCupikaze> OOOOOOOOoh
[13:55:38] <Zeph> amazing slide tackle saves day
[13:55:48] <WorldCupikaze> WHY ARE YOU TALKING YOU AREN'T HERE
[13:56:53] <WorldCupikaze> call wide
[13:57:02] -->| Zeph ([email protected]) has joined #Worldcup
[13:32:33] |<-- Zeph has left irc.mountai.net (Quit: Zeph)
[13:32:43] <WorldCupE> ZEPH D:<
[13:32:44] <Zeph> fucking irc app
[13:32:47] <WorldCupE> O_O
[13:32:50] -->| Zeph ([email protected]) has joined #Worldcup
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