doronshadmi
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oppsss..
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Deeper than primes
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Of course it is. Doron's imagination by far excels over everyone else's. In fact he should probably change "OM" to "IM" for "Imaginary Math".
It must be so "clear" that the writer who contributed to the unrelated topic in Wiki didn't bother to support your assertion. The truth of the matter is though that the writer didn't get infected by OM, and so the concurrence is missing from the text. Obviously, you don't have the slightest idea what the text is all about, otherwise you wouldn't use it as a supporting argument for one of your declaration of independence.Wrong.
Let us take, for example 3() and 2():
You can’t comprehend that 3() exists independently of any 2() spaces w.r.t it, as clearly seen in the following diagram:
http://en.wikipedia.org/wiki/Euclidean_subspace
It has to be stressed that this diagram is a piece of 3() space, which has a form of a cube, where a cube is a complex w.r.t 3() exactly as a line segment is a complex w.r.t 1().
The shape of a 3-dim object depends on
f(x,y) = z
where x and y are the independent variables and z, which makes the 3rd dimension, is the dependent variable. Since we live in 3-dim space, you can crumple a sheet of paper. The way the crumpled sheet looks like depends exactly on f(x,y) = z. How do you think I made this "stool?"
Note that the shape is enclosed in a cube. Does it ring a bell? Do you know what happens when you stack up 2-dim spaces?
http://www.mytechinterviews.com/wp-content/uploads/2010/06/ryanlerch_deck_of_cards.png
The manipulation of a matrix can be considered a 2-dim algebra, and so there can be a natural extension:
http://en.wikiversity.org/wiki/Investigating_3D_geometric_algebra
There is something that 3-dim algebra and OM have in common:
There is also a profound difference and we all know what it is: Clifford knew what he was doing.
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Your reference is a poor excuse bag staffed with irrelevancy and it can't avert the disaster OM is heading for, e.g. it is becoming obvious that OM cannot manipulate very small but finite numbers, coz it doesn't have the means to express them.
Here it is once again:
You better start inventing, if you want that 'M' in the acronym stand for "Mathematics," and not for "Miscarriage" (of reason).
If you had used other letters than x and y, which are letters reserved for points that lie on the x and y coordinates, I wouldn't have to be that descriptive. You put anything that you call 1() object into one bag and make far-reaching conclusions . . .
Btw, the description of a point "moving" isn't something that would wreak havoc with some math ideas put forward:
"Conversely, if a point moves continuously on the sphere, then the ray through it also rotates continuously, and therefore the point X at which the ray..."
So, there is no reason to GET EXCITED,
x = ?
x = the thief, he kindly spoke.
????? ??????x
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doronshadmi
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epix, all of your last posts have a common failure.
They can't comprehend the independence of different things w.r.t each other, such that no thing is defined by any other thing, accept itself.
As a result you can't distinguish between the non-complexity of , for example 3() (3-dim space) and 0(x,y) or 0(x,y,z) w.r.t to 3(), where 3() holds even if there are no 0(x,y) or 0(x,y,z) w.r.t to it.
This notion is true for any given thing, whether it is strict (like PI()) or non-strict ( like 3.14...[base 10() ), and according to this notion 3.14...[base 10](PI()) is an example of false expression, and PI(3.14...[base 10()) is an example of true expression, even if 3.14...[base 10] and PI() are independent w.r.t each other under the given complex false and true examples.
By understanding the independent of Emptiness (that has no predecessor) and Fullness (that has no successor) w.r.t each other, one immediately understands that any thing between some predecessor and some successor, is independent of any given predecessor or any given successor exactly as Emptiness is defined independently of any successor and Fullness is defined independently of any predecessor.
So even if we are dealing with several things and get a complex, this complex does not change the fact that any thing of that complex is independent of the other things that share this complex.
For example, your notion of a line segment can't comprehend the following notions:
1) No line segment, which is at most 1(0(x)≠0
) w.r.t 1(), is 1().
2) No line segment, which is at least 1(0(x)≠0) w.r.t 0(), is 0().
A diagram of (1) and (2) facts is:
..._____________________.__________.__________________________________ ...
where 1(), which is represented by ..._______________..., is at AND beyond any given 0(), which is represented by . along 1().
By understanding (1) and (2), it is immediately understood that .__________. is non-extendible to ..._______________... AND irreducible to .
Let us take again the example of 3() and 2():
You can’t comprehend that 3() exists independently of any 2() spaces w.r.t it, as clearly seen in the following diagram:
http://en.wikipedia.org/wiki/Euclidean_subspace
Moreover, each given 2() in this diagram is independent of any other 2().
You have missed this important part:
It has to be stressed that this diagram is a piece of 3() space, which has a form of a cube, where a cube is a complex w.r.t 3() exactly as a line segment is a complex w.r.t 1(), as can be seen by the following diagram:
..._____________________.__________.__________________________________ ...
"moving" ≠ moving
They can't comprehend the independence of different things w.r.t each other, such that no thing is defined by any other thing, accept itself.
As a result you can't distinguish between the non-complexity of , for example 3() (3-dim space) and 0(x,y) or 0(x,y,z) w.r.t to 3(), where 3() holds even if there are no 0(x,y) or 0(x,y,z) w.r.t to it.
This notion is true for any given thing, whether it is strict (like PI()) or non-strict ( like 3.14...[base 10() ), and according to this notion 3.14...[base 10](PI()) is an example of false expression, and PI(3.14...[base 10()) is an example of true expression, even if 3.14...[base 10] and PI() are independent w.r.t each other under the given complex false and true examples.
By understanding the independent of Emptiness (that has no predecessor) and Fullness (that has no successor) w.r.t each other, one immediately understands that any thing between some predecessor and some successor, is independent of any given predecessor or any given successor exactly as Emptiness is defined independently of any successor and Fullness is defined independently of any predecessor.
So even if we are dealing with several things and get a complex, this complex does not change the fact that any thing of that complex is independent of the other things that share this complex.
For example, your notion of a line segment can't comprehend the following notions:
1) No line segment, which is at most 1(0(x)≠0
) w.r.t 1(), is 1().2) No line segment, which is at least 1(0(x)≠0
) w.r.t 0(), is 0().A diagram of (1) and (2) facts is:
..._____________________.__________.__________________________________ ...
where 1(), which is represented by ..._______________..., is at AND beyond any given 0(), which is represented by . along 1().
By understanding (1) and (2), it is immediately understood that .__________. is non-extendible to ..._______________... AND irreducible to .
You are right epix, because he\she and you suffering of the same misunderstanding that does not comprehend the independence of different things w.r.t each other.epix said:
Let us take again the example of 3() and 2():
You can’t comprehend that 3() exists independently of any 2() spaces w.r.t it, as clearly seen in the following diagram:
http://en.wikipedia.org/wiki/Euclidean_subspace
Moreover, each given 2() in this diagram is independent of any other 2().
You have missed this important part:
It has to be stressed that this diagram is a piece of 3() space, which has a form of a cube, where a cube is a complex w.r.t 3() exactly as a line segment is a complex w.r.t 1(), as can be seen by the following diagram:
..._____________________.__________.__________________________________ ...
epix said:
"moving" ≠ moving
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doronshadmi
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sympathic it simply avoids the contradiction that is derived from the imagination which claims that distinct and different 0-dim spaces completely cover 1-dim space.
The claim that 0-dim spaces completely cover 1-dim space is equivalent to the claim that
an arbitrary pair of different and distinct 0-space are = AND ≠ w.r.t each other.
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Let's consider a cube with axis U, S and A that has volume 1776 units. Independence is rendered with those 2-dim spaces OUTSIDE the cube, NOT INSIDE. as you demonstrate, coz the modification of a 2-dim subspace affects the property of a 3-dim space, coz both differently dimensioned spaces share the same coordinates 'x' and 'y'. Independence is about apart and not together. You need to quote from any related text so the quote would directly address the issue of independency between an n-dim object and its subspace.
You shouldn't worry about that anyway, coz you still need to demonstrate that OM is capable of multiplying very small but finite numbers.
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there was once a local point
that decided to smoke a joint
as its lungs got really busy
the point became really dizzy
with no value, with no sign
it fell quickly off the line
that's what happened, now you prove
that the point just couldn't move.
doronshadmi
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Wrong, any given space is essentially independent of any other space.
You are talking about the dependency under the complex results among independent spaces.
Let me give you an example:
The existence of 1-dim and 0-dim spaces are independent of each other, such that if one of them is missing, the other one still exists.
Now let's observe a complex like line-segment, which is the result of the linkage among 1() and 0().
Even if the length of 1() space under the complex, called line-segment, depends on the values of 0() spaces, it does not mean the 1() or 0() existence depend on each other.
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doronshadmi
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0.000...1[base 10], for example, is not a finite number, but it is the irreducibility of 1() to 0() upon infinitely many scales.
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doronshadmi
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Yet "moving" ≠ moving.
The Man
Unbanned zombie poster
Doron a space is not independent of its sub-space. Though you have made it quite clear that you simply do not understand the meaning of the word independent or the concept of sub-spaces.
Again, stop simply trying to posit aspects of your own failed reasoning onto others.
So your non-zero infinitesimal is your “point” and your “point” is not zero dimensional having that non-zero infinitesimal extent, as asserted before.
Again, stop simply trying to posit aspects of your own failed reasoning onto others.
OK so “improvement” is evidently another word you simply do not understand.
Again, stop simply trying to posit aspects of your own failed reasoning onto others.
Again a space is not independent of its sub-spaces nor are those sub-spaces independent of that space.
Again try actually reading the article. As explained to you before the sub-spaces of a line segment can be represented as line segments. This “limited to 0-only elements” fantasy of yours is, well, just yours and you simply want to continue unapologetically trying to ascribe it to others.
Which once again makes your “1()” dependent on there being more than one “distinct 0()”. That they depend upon each other ( your “1()” and your “another distinct 0()”) does not make them independent but mutually dependent.
Again identify any location or locations in a “a 1-dim space” that is not and can not be covered by a zero dimensional point or points.
Doron you simply can not comprehend if “no thing is defined by any other thing, accept itself” then there is no definable relation to “any other thing”.
Once again Doron the contradiction remains simply yours as “The claim that 0-dim spaces completely cover 1-dim space is” certainly not “equivalent to the claim that an arbitrary pair of different and distinct 0-space are = AND ≠ w.r.t each other”
Simply changing your “equivalent” claim to some other contradiction still does not make it equivalent to “The claim that 0-dim spaces completely cover 1-dim space” or any less simply your own deliberately contradictory claim that you simply want to try to ascribe it to others.
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Originally Posted by epix
You shouldn't worry about that anyway, coz you still need to demonstrate that OM is capable of multiplying very small but finite numbers.
Whom do you reply to?
You shouldn't worry about that anyway, coz you still need to demonstrate that OM is capable of multiplying very small but finite numbers.
Whom do you reply to?
Of course there are cases where the independency holds. Suppose that the pic you've presented as a "proof"
http://en.wikipedia.org/wiki/File:Secretsharing-3-point.png
shows a plastic box with three sheets of cardboard paper as the 2-dim subspaces. You can rearrange the sheets any way you wish but that shuffling around wouldn't affect the size and the shape of the plastic box, the same way stirring goulash will not affect the size and shape of the cooking pot. This is an observation that may intrigue a one-year old baby, but can we like move along ahead on the timeline?
doronshadmi
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To one called epix.
doronshadmi
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Your reply is wrong, as clearly shown in http://www.internationalskeptics.com/forums/showpost.php?p=6510718&postcount=12190.
And I bet that you don't type that. That's a copy/paste job START -> MY DOCUMENTS -> DORON_REPLIES.
doronshadmi
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epix, your transparent box is another collection of 2() spaces that there existence is independent of each other, and so is the 3() space that is used as their common environment, the 3() space exists whether it is used as a common environment of infinity many independent 2() spaces, or not.
If a timeline is what you call development, then in your case the time has 0() size.
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This is the problem OM has: that number that you express as 0.999... is not what you call a "local number." That number is approaching its limit 1, as the ellipses (...) indicate. The particular problem lies in the non-algebraic rendition of the number, which is "destined" to approach its limit "from the beginning":
0.9
0.99
0.999
0.9999
0.99999...
This number has its complementary value w.r.t. its limit that you can express only this way:
1 - 0.999... = 0.000...1
If you let p = 0.999... and q = 0.000...1, then also p = {0.9, 0.99, 0.999, 0.9999, 0.99999, ...}, coz p is a number whose value is approaching its limit -- number 1. Your weird intuition tells you that 0.9 is just too far away from 1 for p to be approaching its limit number 1. Since OM doesn't use functions, you can't convince yourself that p starts approaching its limit much sooner than you think it does. Since you claim that there is no point between q and 1, there can't be any point between 0.9 and 1 as well:
0___________________________0.9______1
In other words, there can't be point 0.95
0___________________________0.9__0.95__1
which divides the length of the line segment m = 1 - 0.9 = 0.1 in half.
You just couldn't comprehend the simple proof of you being wrong when it was rendered through a standard math language, coz you can't speak it nor can you read it. I bet that you won't again comprehend what was repeated to you by others, namely that the lenghth of a line segment no matter how short is represented by number a where a > 0, and any such number is divisible by any number b where b ≠ 0. The result of such a division appears as an additional point on a given line segment.
You claim that point p is an immediate predecessor of point z = 1, but elsewhere in the thread you agreed that there is no such a thing as immediate successor and predecessor. (Go and stir the goulash.)
Conclusion: There can't be a "line (with no points along it) between 0.999...[base 10] and 1," unless the line segment is the phantasmagorical segment
O___________M
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