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# Questions that make you think...

## The entirety of mathematics is a hologram.

In this forum, questions are asked which are really tough to answer. Some philosophical, some regarding morality and many others. Have fun, and post your own personal tough questions!

## The entirety of mathematics is a hologram.

Pick the conjunction of all axioms ever to be employed. This set can be broken down into finitely many groups of axioms where two axioms/statements are in the same group if they imply each other.

Take the consequence hull (or closure) of that set of statements. (The smallest set of all consequences of those statements, say)

That is all of mathematics.

Thus, mathematics is a hologram.
"it is easy to grow crazy"

at1with0

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## Re: The entirety of mathematics is a hologram.

Is that break-down-able into more simple terms?
"George Bush says he speaks to god every day, and christians love him for it. If George Bush said he spoke to god through his hair dryer, they would think he was mad. I fail to see how the addition of a hair dryer makes it any more absurd."
Tairaa

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Joined: Thu Apr 09, 2009 11:54 am

## Re: The entirety of mathematics is a hologram.

The axioms math is based on generates all of math.

The axioms are akin to the film and the "all of math" is like the image, in a hologram.

Or, at least, there is some self-similarity like a fractal.

Could be wrong though. It's happened before numerous times!
"it is easy to grow crazy"

at1with0

Posts: 9183
Joined: Thu Apr 09, 2009 5:55 pm
Location: the coproduct of the amalgam of all structures

## Re: The entirety of mathematics is a hologram.

by self-similar, I mean like an image that contains a smaller part of itself and that smaller part is the whole image.

http://en.wikipedia.org/wiki/Self-similarity

"it is easy to grow crazy"

at1with0

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Joined: Thu Apr 09, 2009 5:55 pm
Location: the coproduct of the amalgam of all structures

## Re: The entirety of mathematics is a hologram.

If reality is mathematical, then it too is akin to a hologram.
"it is easy to grow crazy"

at1with0

Posts: 9183
Joined: Thu Apr 09, 2009 5:55 pm
Location: the coproduct of the amalgam of all structures

## Re: The entirety of mathematics is a hologram.

Trippy.

Math isn't my thing, but my graphics program uses it a LOT.
"George Bush says he speaks to god every day, and christians love him for it. If George Bush said he spoke to god through his hair dryer, they would think he was mad. I fail to see how the addition of a hair dryer makes it any more absurd."
Tairaa

Posts: 2940
Joined: Thu Apr 09, 2009 11:54 am

## Re: The entirety of mathematics is a hologram.

Which program, one traveler to another?
"it is easy to grow crazy"

at1with0

Posts: 9183
Joined: Thu Apr 09, 2009 5:55 pm
Location: the coproduct of the amalgam of all structures

## Re: The entirety of mathematics is a hologram.

3ds max.

Tinkering away right now as a matter of fact. Can you tell my why my Boolean commands don't work so hot on complex objects, even if they match one another in general complexity both overall and local?

I've worked ways around this problem (which is probably a problem with the operator) of course, but knowing why... WHY!?! Would be nice.
"George Bush says he speaks to god every day, and christians love him for it. If George Bush said he spoke to god through his hair dryer, they would think he was mad. I fail to see how the addition of a hair dryer makes it any more absurd."
Tairaa

Posts: 2940
Joined: Thu Apr 09, 2009 11:54 am

## Re: The entirety of mathematics is a hologram.

Tairaa wrote:3ds max.

Tinkering away right now as a matter of fact. Can you tell my why my Boolean commands don't work so hot on complex objects, even if they match one another in general complexity both overall and local?

I've worked ways around this problem (which is probably a problem with the operator) of course, but knowing why... WHY!?! Would be nice.

My guess would be that a subtle exclusion (like NAND or XOR) is there when it shouldn't be or not there when it should be. Something in the complex object is not getting caught correctly by the boolean operator so I would think that the only way to fix it is to take a look at which boolean expression you're using and what is hanging it up in the complex object, though I'm sure that would be time consuming. Exactly how to do that would take knowledge of your program environment, your code, and the complex object.

It's probably similar to how on this board you used to not be able to write union without your post getting screwed up and eaten. Some clause in the boolean expression wasn't tweaked perfectly and union is a common phrase (at least in meaning) in programming.
"it is easy to grow crazy"

at1with0

Posts: 9183
Joined: Thu Apr 09, 2009 5:55 pm
Location: the coproduct of the amalgam of all structures

## Re: The entirety of mathematics is a hologram.

I would think that the only way to fix it is to take a look at which boolean expression you're using and what is hanging it up in the complex object, though I'm sure that would be time consuming.

I used to do this, and it works. I perform the boolean and it doesn't work properly, I take note of the problem area, undo the boolean, and tweak the area(s) prior to the boolean and that typically works after some effort. Alas, I have much more efficient methods now. Procedurally speaking I like to keep my boolean commands to a minimum after I add complexity to my objects. Instead I find it easier, for unions of complex objects anyway, to simply attach and weld manually. Works exactly how I want it every time.

Do you use a graphics program?
"George Bush says he speaks to god every day, and christians love him for it. If George Bush said he spoke to god through his hair dryer, they would think he was mad. I fail to see how the addition of a hair dryer makes it any more absurd."
Tairaa

Posts: 2940
Joined: Thu Apr 09, 2009 11:54 am

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