To the original question, simply put, you're wrong, 0/0 <> 1.
Anything divided by zero is undefined - by definition of the laws that define a field. To the rest of your logic - shudder... If its a paradoy of logic - well it's too subtle for it to be easily accessible to most folk here, if you're sincere - guess you have a early understanding of number theory and fields.
So some simple advice to you - stay away from zero and infinities for awhile
@guigus,
Zero by itself has no value.
@cicerone imposter,
cicerone imposter wrote:
Zero by itself has no value.
true
but in accounting , which is where Zero originated from
and Zero was created in the Sanskrit of accounting
meaning that you having nothing or not of a thing
now we have juxta-position this accounting idea onto other mathematics
@g day,
g day wrote:
To the original question, simply put, you're wrong, 0/0 <> 1.
Anything divided by zero is undefined - by definition of the laws that define a field. To the rest of your logic - shudder... If its a paradoy of logic - well it's too subtle for it to be easily accessible to most folk here, if you're sincere - guess you have a early understanding of number theory and fields.
So some simple advice to you - stay away from zero and infinities for awhile
Anything
but zero divided by zero is
undefined (has no value).
Zero divided by zero is
indeterminate (has any value):
1. No number multiplied by zero results in a nonzero value (? * 0 = 1), so no nonzero value divided by zero has a quotient (1 / 0 = ?).
2. Any number multiplied by zero results in a zero value (0 * 0 = 0), so zero divided by zero equals any number (0 / 0 = [1, 2, 3, ... x].
This is elementary arithmetics.
@north,
Having worked as an accountant, if the balance is zero, it means it has no value. It doesn't affect the balance sheet, income statement, accounts receivable, accounts payable, or anything else listed. It has no value, and is not part of the computation to arrive at balancing the financial statements.
@guigus,
guigus - still not correct
Zero divided by zero doesn't equal any number it equals every number meaning 0/0 value is indeterminate; as a number field is isomorphic (one to one and onto) zero has to be treated with a special definition. Sorry but this rule takes precedent.
Treating it any other way is chicanery - its like saying infinity times zero equals one and hoping folks won't know the slight of hand that was just pulled.
Sorry but if you're using the rules of a field - you have to use all the rules and know which has precedent and why!
@g day,
g day wrote:
guigus - still not correct
Zero divided by zero doesn't equal any number it equals every number meaning 0/0 value is indeterminate; as a number field is isomorphic (one to one and onto) zero has to be treated with a special definition. Sorry but this rule takes precedent.
Treating it any other way is chicanery - its like saying infinity times zero equals one and hoping folks won't know the slight of hand that was just pulled.
Sorry but if you're using the rules of a field - you have to use all the rules and know which has precedent and why!
You are saying precisely the same as I am: that zero divided by zero is any number -- by which it is every number, since there is no mathematical reason for giving any preference for some particular number as being that quotient. Which is precisely the meaning of the word "indeterminate."
@cicerone imposter,
cicerone imposter wrote:
Having worked as an accountant, if the balance is zero, it means it has no value. It doesn't affect the balance sheet, income statement, accounts receivable, accounts payable, or anything else listed. It has no value, and is not part of the computation to arrive at balancing the financial statements.
To say that something being zero means it has no value is the same as to say that someone being dead means he/she is not alive: the balance being zero means it is
correct, so it affects that balance by means of its validation.
@guigus,
Wrong analogy; accounting and "being dead" has no relationship whatsoever.
@cicerone imposter,
cicerone imposter wrote:
Wrong analogy; accounting and "being dead" has no relationship whatsoever.
This is not the analogy I made, which was rather between zero as meaning to have no value and being dead as meaning to be not alive -- an analogy that not even refers to accounting.
@guigus,
I'm not sure where you learned English, but you wrote
. How is that not an analogy?
@cicerone imposter,
cicerone imposter wrote:
I'm not sure where you learned English, but you wrote
. How is that not an analogy?
Did I say it was not an analogy? Here is what I said:
guigus wrote:This is not the analogy I made, which was rather between zero as meaning to have no value and being dead as meaning to be not alive -- an analogy that not even refers to accounting.
Which, as far as I can tell, means it
is an analogy, but one between "zero as meaning to have no value and being dead as meaning to be not alive" -- hence by no means involving accounting.
@guigus,
Sneaky! Making clarity endings to statements already made is read and understood differently. Good try, but no cuppy doll.
@cicerone imposter,
cicerone imposter wrote:
Sneaky! Making clarity endings to statements already made is read and understood differently. Good try, but no cuppy doll.
Sorry, but I didn't quite get your point.
@cicerone imposter,
cicerone imposter wrote:
You wouldn't.
Or perhaps you have no point at all (as I secretly know you haven't, but don't tell anyone).
Enough gibberish, back to the point:
Zero divided by zero has any quotient (0 / 0 = 1, 0 / 0 = 2, ...), since any number multiplied by zero equals zero (1 * 0 = 0, 2 * 0 = 0, ...). The division of zero by zero has the opposite behavior of the division of any other number by zero (1 / 0 = ?, 2 / 0 = ?, ...), which has no quotient, since no number multiplied by zero equals a nonzero number (? * 0 = 1, ? * 0 = 2, ...).
The mathematical fact that zero divided by zero has any quotient makes that division indeterminate, while the mathematical fact that the division of any nonzero number by zero has no quotient makes that division undefined.
(This is not yet my point, made at the beginning of this thread -- this is not yet philosophy, but only mathematics.)
@cicerone imposter,
cicerone imposter wrote:
Having worked as an accountant, if the balance is zero, it means it has no value. It doesn't affect the balance sheet, income statement, accounts receivable, accounts payable, or anything else listed. It has no value, and is not part of the computation to arrive at balancing the financial statements.
exactly
but back to the origination of why zero was introduced into accounting , was the person to understand his own position as far as assets
zero sheep , cattle , certain crops etc.
not that the above didn't exist , they do , but rather you don't possess any of them
@north,
north wrote:
cicerone imposter wrote:
Having worked as an accountant, if the balance is zero, it means it has no value. It doesn't affect the balance sheet, income statement, accounts receivable, accounts payable, or anything else listed. It has no value, and is not part of the computation to arrive at balancing the financial statements.
exactly
but back to the origination of why zero was introduced into accounting , was the person to understand his own position as far as assets
zero sheep , cattle , certain crops etc.
not that the above didn't exist , they do , but rather you don't possess any of them
Zero is quantitative nothingness, not simple nothingness. Here is the difference between zero and simple nothingness:
1. No number (simple nothingness) multiplied by zero results in one.
2. Zero (quantitative nothingness) multiplied by zero results in zero.
Quantitative nothingness is a number -- zero -- while simple nothingness is no number.
