All innovators - HELP!

Dr.Brain
All innovators --- HELP!

I have to think of some drawing/painting resembling the TOPIC "NIX PERIPHERA" which means "No Boundaries"

"NIX PERIPHERA" is the theme for our annual cultural fest in my tech-skool , and I have to think of some innovatory ideas regarding the paintings that we can make resembling the topic , also please tell ideas about structures that we can make which resemble the given topic in a way (like a 6" tall structure of Bird with open wings---> resembling no boundaries...blah blah) ...

ANything scientific/cool/wierd , anything that you can think of ...anythinggg..

BJ

zoobyshoe
An extreme closeup of Charles Manson's face would vividly illustrate the concept of "No Boundaries," I think.

Townsend
zoobyshoe said:
An extreme closeup of Charles Manson's face would vividly illustrate the concept of "No Boundaries," I think.

That's brilliant, I never would have thought of that.

Townsend
How about something to do with the tower of babel?

Staff Emeritus
Gold Member
$$(-\infty,\infty)$$

mattmns
Math Is Hard said:
$$(-\infty,\infty)$$
pfff!

This is more like it $$[-\infty, \infty ]$$

Knavish
But that makes no sense. :tongue: Besides, it adds a boundary, which isn't what we want.

mattmns
True, they both have boundaries, but at least mine includes infinity :tongue2:

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Townsend
mattmns said:
True, they both have boundaries, but at least mine includes infinity :tongue2:

Really? So what then is $$[-\infty, \infty ] - (-\infty,\infty)$$ = ?

mattmns
I am not sure about the definition of infinity, but I would guess that the subtraction would be $$\{-\infty, \infty\}$$

Townsend
mattmns said:
I am not sure about the definition of infinity, but I would guess that the subtraction would be $$\{-\infty, \infty\}$$

We are talking about two distinct sets... one set is a subset of the other set. If you take away all the elements of the subset what are we left with?

In other words...using brackets for your set does not seem to make any sense. At least not up to any of the math classes I have taken.

mattmns
I am no math expert, but this is what I was thinking, I may have misunderstood you.

If we have a set that contains all the elements up to infinity and down to negative infinity, we have $$\{ x | -\infty < x < \infty \}$$ which is denoted by $$( -\infty, \infty )$$

If we then look at the set including infinty and negative infinity we have $$\{ x | -\infty \leq x \leq \infty \}$$ which is denoted by $$[ -\infty, \infty ]$$

If we then subtract the latter set by the former (what I am guessing you meant by the - sign, set difference of the two sets), we will get a set with 2 elements: $$-\infty, \infty$$
Which I wrote as the set: $$\{ -\infty, \infty \}$$

Keep in mind I am no math expert, so I could easily be wrong.

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Townsend
mattmns said:
I am no math expert, but this is what I was thinking, I may have misunderstood you.

If we have a set that contains all the elements up to infinity and down to negative infinity, we have $$\{ x | -\infty < x < \infty \}$$ which is denoted by $$( -\infty, \infty )$$

If we then look at the set including infinty and negative infinity we have $$\{ x | -\infty \leq x \leq \infty \}$$ which is denoted by $$[ -\infty, \infty ]$$

If we then subtract the latter set by the former (what I am guessing you meant by the - sign, set difference of the two sets), we will get a set with 2 elements: $$-\infty, \infty$$

Keep in mind I am no math expert, so I could easily be wrong.

Well that's just it...infinity is not an element of the set but a symbol that means it just goes on and on...

For example $$(- \infty,\infty)$$ could be written as the real number line. Where on that number line is infinity? It is nowhere on the line that I can think of...

So how could it be included in the set? Which makes writing infinity with the closed bracket kind of non-sense.

Do you see what I mean?

mattmns
Ohh, you did not like my use of square brackets. Pff, math standards I was using it more of as a joke

Townsend
mattmns said:
Ohh, you did not like my use of square brackets. Pff, math standards I was using it more of as a joke

I don't know if they're standards so much...more like conventions so people understand what is meant by symbols...

Dr.Brain
ok I want more ideas.

Townsend
Dr.Brain said:
ok I want more ideas.

Try concentrating harder then...

Gold Member
how about just plain $$\infty$$?

or $$\overline{\infty}$$