How long is a piece of string.

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If infinity is classed as an un defined number, then a piece of string is infinatly long:

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an undefined number - an undefined number = an undefined number



an undefined length of string - an undefined length of string = an undefined length of string

Therefore a piece of string is infinatly long.

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Type: Discussion • Score: 1 • Views: 1,909 • Replies: 22

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Might the piece of of string - an equal length piece of string = nothing, and hence infinately nonexistant?

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interesting.

A piece of string then, could be infinately nonexistant.

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Would that lead to a defined length of string though?

a = undefined length of string
b = undefined length of string

a-b= a defined length of string. it is defined as a-b.

Does that work?

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a = undefined length of string
b = undefined length of string

a-b = a
a-b = b
a-b = c (another undefined length of string)

infinity - infinity = infinity

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Logic flaw
If infinity implies undefined, and length of string implies undefined that doesn't necessarily mean that length of string implies infinity since undefined doesn't uniquely imply either infinity or length of string!!

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if length of string = undefined and infinity = undefined then surely:

Length of string = infinity as undefined = undefined.

?

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Kedge wrote:

if length of string = undefined and infinity = undefined then surely:

Length of string = infinity as undefined = undefined.

?

As if.

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Sounds like string theory to me.

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Merlin, why not?

if a = c and b = c then a=b

Simple maths Very Happy

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Simple maths, and overly simplistic logic.

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Just like me Very Happy

Overly Simplistic

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Kedge wrote:

Merlin, why not?

if a = c and b = c then a=b

Simple maths

It is not math.

If you say a ball of yarn = a piece of string and lint in my pocket = a piece of string that doesn't make the lint in my pocket a ball of yarn.

Similarly: $1 = money, $1,000,000 = money, therefore $1 = $1,000,000?

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We are getting away from the point a bit.

Based in the context of my original theory the mathematical property of the String (being of an undefined length) and the mathematical property of infinity (being of an undefined value) hold enough similarities, that I would say that you could define the lenght of a piece of string infinately long.

The equations a = c and b = c then a=b prove this point, (if a b and c are all either undefined lengths of string or infinity) the equations do not work (as you have shown) with finite values : $1 = money, $1,000,000 = money, therefore $1 = $1,000,000. This highlights the limitiation of the equations rather than the limitation of my theory.

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Once again, logic flaws

Quote:

Based in the context of my original theory the mathematical property of the String (being of an undefined length) and the mathematical property of infinity (being of an undefined value) hold enough similarities, that I would say that you could define the lenght of a piece of string infinately long.

The equations a = c and b = c then a=b prove this point, (if a b and c are all either undefined lengths of string or infinity) the equations do not work (as you have shown) with finite values : $1 = money, $1,000,000 = money, therefore $1 = $1,000,000. This highlights the limitiation of the equations rather than the limitation of my theory.

You are talking about logic, not equations. Logic handles your supposition fine. A does not equal B, it implies B. In mathmatics, "equal" means one-to-one correspondance. "Implies" connotates "is a subset of". Cat does not equal animal, cat implies animal. Animal includes cat, but a member of the animal family does not have to be a cat. It's not an equal sign, it's a one way arrow. Likewise, dog implies animal, but we all know that dog is not cat.

There are rules for logic that make for good fun and lots of neat terms like inverse, converse and my favorite, contrapositive.

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There are lot's of mathmatical errors in this thread, including...

1) These two statements "the length of string is undefined" and "Infinity is undefined" does not mean that "the length of string is undefined". This is like saying -- "firetrucks are red" and "apples are red" so "firetrucks are apples".

2) infinity - infinity = 0 is not a mathematically correct statement. There are cases where an infinite value - another infinite value = 3.

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MerlinsGodson wrote:

Kedge wrote:
Merlin, why not?

if a = c and b = c then a=b

Simple maths

It is not math.

If you say a ball of yarn = a piece of string and lint in my pocket = a piece of string that doesn't make the lint in my pocket a ball of yarn.

Similarly: $1 = money, $1,000,000 = money, therefore $1 = $1,000,000?

If I had $1 for every time I heard that....cripes, why do I keep falling for that scam?

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but it's not logic. Logic says if a=>b, and b=>c, then c may or may not imply a depending on where they are in their respective hierarchies. Put that in your pipe and smoke it.

P.S. I have a sharp edge of my pinky nail, and it's killing my fingers right now. Any idea where i could find a clipper?

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Vengoropatubus wrote:

but it's not logic. Logic says if a=>b, and b=>c, then c may or may not imply a depending on where they are in their respective hierarchies. Put that in your pipe and smoke it.

P.S. I have a sharp edge of my pinky nail, and it's killing my fingers right now. Any idea where i could find a clipper?

Why sure. The location of the clipper is undefined. Therefore there are an infinite number of clippers. Check the upper left-hand drawer in your bathroom.

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The most startling thing so far was to find out that fire trucks are apples.

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How long is a piece of string.

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