Krimel,

Excellent!  But I seem to be in a labyrinth, and can't get there from 
here.  No, actually I think Ron has got my number.

Marsha



At 10:07 AM 6/12/2007, you wrote:
>[Marsha]
>Is there any difference in Value between zero (0) and one (1)?
>
>[Krimel]
>Such a marvelously vague question sparking, such marvelously strange
>answers. Of course my personal favorite so far is Platt's visions of
>politically subversive numerology.
>
>It is tempting to offer the smart aleck answer that the difference is
>precisely 1. (0 - 1 = 1) What the heck I will offer that, because it points
>to something interesting. Both 0 and 1 have properties no other numbers
>have. Many mathematical theorems begin by specifying the exceptions they
>create.
>
>Zero multiplied by any number equals zero.
>Zero added to any number equals that number
>Zero subtracted from any number is that number
>Zero divided by any number is undefined.
>
>One shares some similar properties:
>
>One multiplied by and number is that number
>One divided by any number is that number.
>
>Other interesting points:
>
>One was the first number put to use in mathematics.
>Zero was the last. (Ok almost the last, there are the negatives, i, infinity
>and no doubt a few more)
>
>All of mathematics can be expressed with just these two numbers.
>
>But there is also the hint of the classic unanswered question of life the
>universe and everything: Why is there something instead of nothing?
>
>In probability theory they are the extremes of certainty: Always and never.
>
>Numbers, any numbers, are symbols. They are abstractions that can be applied
>to the real world in a host of ways. Their chief advantage as symbols is
>that they offer precision. They allow us to specify certain unambiguous
>properties in the relationship of things.
>
>They are unambiguous metaphors in that when two persons share a mathematical
>understanding of particular relationships they achieve a unity of mind not
>possible through other forms of communication.
>
>Two shepherds can count their flocks and agree with precision on who has
>more sheep. Builders can construct edifices large and small based on their
>common understanding of the mathematical relationships specified in an
>architect's plans. Football fans can agree on which team won a game based on
>the number of point each team accumulates.
>
>Number is Value. As Pirsig said in a letter to Bo:
>
>"Arguments that value is unreal can be reduced to absurdity by the question,
>'Do you think a five dollar bill has the same value as an one dollar bill?
>If so, are you willing to trade some bills?'"
   


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