Re: Interesting math

Oleg Lego wrote:

blmblm wrote:
Purl Gurl wrote:
blmblm wrote:

Multiply any number by zero. What is your answer? This answer
we know. Multiple by an even number. Multiple by an odd number.
Answer remains the same. Multiplication by zero is both even
and odd. When we multiple by zero, we violate the rule of
even and odd. Zero must be both or must be neither. Zero
cannot be something between even and odd. Zero must be both
even and odd to not violate our even and odd rule.

What rule is that? Please state it as carefully as you can.
I'm unable to imagine any "rule of even and odd" that
is consistent with how integers operate in the world of
mathematics as I know it but is violated by multiplication
by zero.

Why, it's the rule that states the obvious fact that an even number
multiplied by another number will always produce an even number, and
that an odd number multiplied by another number will always produce an
odd number.

Proof:
2 * 3 = 6
3 * 7 = 21

See?

Simple, really. You just have to look at it in the right way, sort of
through a peyote fog.


Hey! Now some progress in communication is being made!

2 * 0 = 0
3 * 0 = 0

Is zero even or odd?

Many say zero is neither even nor odd. This is precisely
the same as saying zero is both even and odd.

Using a definition of zero not being even nor odd, multiplication
by zero will violate our rule of even and odd.

Using a definition of zero being both even and odd, multiplication
by zero will not violate our rule of even and odd.


2 * 3 = 6
2 = 6 / 3

2 * 0 = 0
2 = 0 / 0

Which is true? Zero is neither even nor odd. Zero is both even and odd.

If neither, our rule of even and odd is violated.
If both, our rule of even and odd is not violated.


6 / 3 = 2
6 = 2 * 3

6 / 0 = [infinite number set]
6 = [infinite number set] * 0

Division by zero is defined as undefined. This is not true.

Division by zero yields an infinite number set. An infinite
number set cannot be defined although many claim infinity
is where parallel lines meet, which is rather humorous.

You say white. I say presence of all colors.
You say black. I say absence of all colors.

Which of us is right?

English language "rules" are the same. Some are of a
prescriptivist camp, some are of a descriptivist camp.

Who is right? Neither? Both?

I do not align myself with either camp.

My point is you can imprison your mind within a tiny little box,
or you can free your mind to think both inside the box and all
around, outside the box.

This comes down to either making yourself a prisoner of convention or
making yourself a wild savage of imagination. This comes down to living
within a high white Ivory Tower, or living within boundless wilds. This
comes down to being ignorantly arrogant or wisely humble.

Einstein and others like him are wise humble savages.

Reminds me of a giant of a scientist who came near to losing his
head for being wild enough to suggest we are not the center of
our universe.


--
Purl Gurl
--
So many are stumped by what slips right off the top of my mind
like a man's bad fitting hairpiece.
.

Relevant Pages

  • Re: Interesting math
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  • Re: Interesting math
    ... Multiple by an even number. ... Multiple by an odd number. ... Multiplication by zero is both even ... even and odd to not violate our even and odd rule. ...
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