www.piclist.com/techref/index.htm?key=brain+burp+rounding

----- Original Message -----

From: "David VanHorn" <@spam@dvanhornEraseMECEDAR.NET>

To: <@spam@PICLIST.....@spam@MITVMA.MIT.EDU>

Sent: Saturday, June 02, 2001 9:57 PM

Subject: Re: [OT]: Brain Burp Rounding??

{Quote hidden}

patience.

> As you expand the sequence, the difference becomes small, but it is never

zero.

>

> You claim 1 = 0.9...

> Is it then true that 1(inf) = 0.9...(inf)?

>

> There may be a rule which says so (Which I suspect exists to avoid ugly

> problems in calculation), but you're not going to convince me that a

number

> which is "less than 1 by an infinitely small amount" is equal to 1.

>

>

> Next, you'll want to sell me 5 pounds of potatoes multiplied by the Sqrt

of

> -1 :)

I'm with Dave on this one. Sqrt of -1 = i "i" - that amazingly

ridiculous, non-existant value that allows mathematicians to continue on

creating even more ridiculous mathematics coming up with answers that don't

(can't) exist. Sort of like "e" the fascinating irational number that

somehow ocupies an exact position on a number line. Where as pi is a

supposedly "irrational" number easily represented as a fraction (which by

definition makes it rational) as in pi = C/D where C is some number

representing circumfrence and D representing diameter of a circle. You

cannot use infinity in an equation and expect any sanity in the result.

However, we are supposed to accept these things and then also believe that

you cannot divide by 0 (answer is undefined even though the real answer

should be infinity). Since division is nothing but repetive subtraction,

you can easily prove (using a pic ;-D ) that dividing by 0 is infinite and

not "undefined". Look Dave its true 1=2 ;-)

a = x [true for some a's and x's]

a+a = a+x [add a to both sides]

2a = a+x [a+a = 2a]

2a-2x = a+x-2x [subtract 2x from both sides]

2(a-x) = a+x-2x [Factor left side]

2(a-x) = a-x [Simplify right side]

2 = 1 [divide both sides by a-x]

Of course we can't divide by zero, which is precisely what happens in the

last step. Back to the .999 rpt.=1 arithmetic with infinity is NOT allowed,

because infinity is not a number. And, just like our little puzzle, we get

answers that make no sense.

>

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