Facebook Twitter YouTube Frictional Games | Forum | Privacy Policy | Dev Blog | Dev Wiki | Support | Gametee


1 = 0,99........
Ghieri Offline
Posting Freak

Posts: 2,374
Threads: 8
Joined: May 2012
Reputation: 60
#31
RE: 1 = 0,99........

Quote: 3) Infinitely small, not non-existent.
You cannot measure something that's infinitely small. Infinitely small does not denote any kind of value, because it never stops getting smaller. Therefore it's the same thing.

In other words, you cannot measure the distance between .99~ and 1, because there isn't one.

[Image: tumblr_n6m5lsQThQ1qc99nxo1_250.gif]
10-07-2012, 02:06 PM
Find
Robby Offline
Posting Freak

Posts: 2,549
Threads: 38
Joined: Jun 2009
Reputation: 47
#32
RE: 1 = 0,99........

(10-07-2012, 10:24 AM)Bridge Wrote: 3) Infinitely small
Da hell? How can something infinite be small?

Confusing topic is indeed confusing.

Infrequently active. Don't expect an immediate response. Best to contact me at a different locale. If I create a thread, expect me to be quite active.
10-07-2012, 02:26 PM
Website Find
Kreekakon Offline
Pick a god and pray!

Posts: 3,063
Threads: 70
Joined: Mar 2012
Reputation: 124
#33
RE: 1 = 0,99........

(10-07-2012, 02:26 PM)Nemet Robert Wrote: Da hell? How can something infinite be small?
The definition of "infinity" basically means "anything", however big, or small that may be, which is also why it is mostly regarded as un-calculable.

[Image: Tv0YgQb.gif]
Image by BandyGrass
10-07-2012, 02:28 PM
Find
Robby Offline
Posting Freak

Posts: 2,549
Threads: 38
Joined: Jun 2009
Reputation: 47
#34
RE: 1 = 0,99........

After re-reading it, I somehow got it.

Infrequently active. Don't expect an immediate response. Best to contact me at a different locale. If I create a thread, expect me to be quite active.
10-07-2012, 02:35 PM
Website Find
Bridge Offline
Posting Freak

Posts: 1,971
Threads: 25
Joined: May 2012
Reputation: 128
#35
RE: 1 = 0,99........

When I say "infinitely small" I don't actually mean with an infinite amount of decimal places, I mean unmeasurable at this point.

Here is the Wikipedia definition of "infinitesimal":

"In common speech, an infinitesimal object is an object which is
smaller than any feasible measurement, but not zero in size; or, so
small that it cannot be distinguished from zero by any available means.
Hence, when used as an adjective, "infinitesimal" in the vernacular
means "extremely small". An infinitesimal object by itself is often
useless and not very well defined; in order to give it a meaning it
usually has to be compared to another infinitesimal object in the same
context (as in a derivative) or added together with an extremely large (an infinite) amount of other infinitesimal objects (as in an integral)."

All the proof you have is based around the flawed assertion that 1-0.9~ is 0. All of your calculations depend on this, and you provided no proof for this assertion. Occam's Razor dictates that the explanation that makes the least amount of unnecessary assumptions is the most efficient and most likely correct. I am not making any assumptions by saying 1-0.9~ > 0 because 0.9~ < 1. Prove without making any assumptions how it is not.
(This post was last modified: 10-07-2012, 02:41 PM by Bridge.)
10-07-2012, 02:40 PM
Find
Ghieri Offline
Posting Freak

Posts: 2,374
Threads: 8
Joined: May 2012
Reputation: 60
#36
RE: 1 = 0,99........

Until we find a way to measure an infinitely small number(Which in practical mathematics is an absurd concept) then the definition holds true.

[Image: tumblr_n6m5lsQThQ1qc99nxo1_250.gif]
10-07-2012, 02:44 PM
Find
Bridge Offline
Posting Freak

Posts: 1,971
Threads: 25
Joined: May 2012
Reputation: 128
#37
RE: 1 = 0,99........

(10-07-2012, 02:44 PM)Aldighieri Wrote: Until we find a way to measure an infinitely small number(Which in practical mathematics is an absurd concept) then the definition holds true.
EXACTLY. Because there exist no rules for these types of operations at this point, the math falls apart.
10-07-2012, 02:45 PM
Find
BAndrew Offline
Senior Member

Posts: 732
Threads: 23
Joined: Mar 2010
Reputation: 20
#38
RE: 1 = 0,99........

(10-07-2012, 02:40 PM)Bridge Wrote: All the proof you have is based around the flawed assertion that 1-0.9~ is 0. All of your calculations depend on this, and you provided no proof for this assertion. Occam's Razor dictates that the explanation that makes the least amount of unnecessary assumptions is the most efficient and most likely correct. I am not making any assumptions by saying 1-0.9~ > 0 because 0.9~ < 1. Prove without making any assumptions how it is not.
I didn't make any assumptions.

[Image: 828c09a467c87cf4f6823d11d1121d2c.png]

Tell me where the assumption is.

•I have found the answer to the universe and everything, but this sign is too small to contain it.

[Image: k2g44ae]



10-07-2012, 02:55 PM
Find
Ghieri Offline
Posting Freak

Posts: 2,374
Threads: 8
Joined: May 2012
Reputation: 60
#39
RE: 1 = 0,99........

(10-07-2012, 02:45 PM)Bridge Wrote:
(10-07-2012, 02:44 PM)Aldighieri Wrote: Until we find a way to measure an infinitely small number(Which in practical mathematics is an absurd concept) then the definition holds true.
EXACTLY. Because there exist no rules for these types of operations at this point, the math falls apart.
How do you equate "Absurd concepts" with "no rules"?


Besides, it's been mathematically proven(See the limit above.)

[Image: tumblr_n6m5lsQThQ1qc99nxo1_250.gif]
(This post was last modified: 10-07-2012, 03:01 PM by Ghieri.)
10-07-2012, 03:00 PM
Find
Bridge Offline
Posting Freak

Posts: 1,971
Threads: 25
Joined: May 2012
Reputation: 128
#40
RE: 1 = 0,99........

Quote:
Quote:All
the proof you have is based around the flawed assertion that 1-0.9~ is
0. All of your calculations depend on this, and you provided no proof
for this assertion. Occam's Razor dictates that the explanation that
makes the least amount of unnecessary assumptions is the most efficient
and most likely correct. I am not making any assumptions by saying
1-0.9~ > 0 because 0.9~ < 1. Prove without making any assumptions how it is not.
I didn't make any assumptions.

[Image: 828c09a467c87cf4f6823d11d1121d2c.png]

Tell me where the assumption is.
lim n->nf {0.00 … 01} (n-1) …

(10-07-2012, 03:00 PM)Aldighieri Wrote:
(10-07-2012, 02:45 PM)Bridge Wrote:
(10-07-2012, 02:44 PM)Aldighieri Wrote: Until we find a way to measure an infinitely small number(Which in practical mathematics is an absurd concept) then the definition holds true.
EXACTLY. Because there exist no rules for these types of operations at this point, the math falls apart.
How do you equate "Absurd concepts" with "no rules"?


Besides, it's been mathematically proven(See the limit above.)
Because we have no way of measuring numbers that small at this point in time. The difference between 0.9~ and 1 is immeasurably small, but it still exists. I don't consider it proven because the arithmetic operators +, -, * and / are designed to work with measurable numbers. As soon as you start using numbers that have no definite value the math stops working.
10-07-2012, 05:08 PM
Find




Users browsing this thread: 2 Guest(s)