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Topic: Reviewing whether the Ancient Greek Proof that sqrt2 is irrational,
whether it is mired in flaws, thus, invalid

Replies: 37   Last Post: Oct 9, 2017 9:09 AM

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plutonium.archimedes@gmail.com

Posts: 17,505
Registered: 3/31/08
Reviewing whether the Ancient Greek Proof that sqrt2 is irrational,
whether it is mired in flaws, thus, invalid

Posted: Oct 7, 2017 1:15 AM
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Now, it was several years back, that I discovered a Logical error in current mathematics of representation of Reals. Several years ago I insisted that the Reals have a "suffix". So I was saying some years ago that 1/3 had to be .3333...33(+1/3).

Why did I come to that conclusion?

I came it because the truthful way of writing
_______
3| 1000 = 333+1/3

And any math teacher would find an answer as 333 as incorrect, for it fails to include the remainder of +1/3.

So, the logical reasoning is, why stop with whole numbers of inclusion of a remainder. Why not continue the practice of COMPLETING the DIVISION.

And I was happy to find out that Newton did the same way back in 1687 with his Compleat Quotient.

Unfortunately for mathematics after Newton, we seem to not have any one with enough logic in their mind, to demand rigor to the Reals.

And where we find fruitcakes saying 1/3 = .33333.... where they never Complete the Quotient, never fill in the remainder.

So, several years back, I do not remember exactly where I wrote that 1/3 = .3333....33(+1/3)

This way of writing Reals was sorely needed in the 1800s for if Reals had been written like this, then Cantor would not have been able to flood the world with his nonsense Diagonal argument, since there is no way of diagonaling .3333....33(+1/3) of its suffix.

And the silly ages old argument of .9999....=1 would never have gotten off the ground, because when you realize that 1 = .99999...99(+9/9) and never is it the case that 1 is the same as .9999....

So, here, now, today, we examine if the Greek ancient proof that sqrt2 is irrational, holds up to scrutiny once we include the suffix onto Reals.

Remember the Ancient Greeks never had the Reals, never had a decimal representation of numbers. They did however have whole numbers and fractions.

But let us see if their proof holds up, when rationals have a suffix.

AP


Date Subject Author
10/7/17
Read Reviewing whether the Ancient Greek Proof that sqrt2 is irrational,
whether it is mired in flaws, thus, invalid
plutonium.archimedes@gmail.com
10/7/17
Read my history of Fraction increment goes back to 2015 at least, where
1/3 = .3333...33(+1/3) Re: Reviewing whether...
plutonium.archimedes@gmail.com
10/7/17
Read analyzing why the Ancient Greek proof that sqrt2 is irrational is a
flawed and fake proof// Rationals are the only numbers that exist
plutonium.archimedes@gmail.com
10/7/17
Read primitive understanding cannot yield a proof Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/7/17
Read definition of Lowest Terms in Rationals is the error Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/7/17
Read Old Math, although don't tell them-- proved that 1/2 is irrational
Re: analyzing why the Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/7/17
Read a proof that Irrationals cannot exist Re: analyzing why the Ancient
Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/7/17
Read Proof that no Irrationals exist Re: analyzing why the Ancient Greek
proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/8/17
Read nice proof that no irrationals exist, simple fact that all numbers
are Decimal represented and thus a denominator of power of 10 Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/8/17
Read nice proof that no irrationals exist, simple fact that all numbers
are Decimal represented and thus a denominator of power of 10 Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/8/17
Read Re: nice proof that no irrationals exist, simple fact that all
numbers are Decimal represented and thus a denominator of power of 10 Re:
analyzing why the Ancient Greek proof that sqrt2 is irrational is a flawed
zelos.malum@gmail.com
10/8/17
Read Why only one indirect proof launched a billion ships of "no head on
shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is irrational
is a flawed
plutonium.archimedes@gmail.com
10/8/17
Read Re: Why only one indirect proof launched a billion ships of "no head
on shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is
irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Why only one indirect proof launched a billion ships of "no head
on shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is
irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Why only one indirect proof launched a billion ships of "no head
on shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is
irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Why only one indirect proof launched a billion ships of "no head
on shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is
irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Why only one indirect proof launched a billion ships of "no head
on shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is
irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Why only one indirect proof launched a billion ships of "no head
on shoulder" Re: analyzing why the Ancient Greek proof that sqrt2 is
irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: a proof that Irrationals cannot exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
Don Redmond
10/8/17
Read Re: a proof that Irrationals cannot exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/8/17
Read Re: a proof that Irrationals cannot exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: a proof that Irrationals cannot exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: a proof that Irrationals cannot exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: a proof that Irrationals cannot exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Stillwell gave another phony proof sqrt2 irrational Re: analyzing why
the Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/8/17
Read Re: Stillwell gave another phony proof sqrt2 irrational Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Stillwell gave another phony proof sqrt2 irrational Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Stillwell gave another phony proof sqrt2 irrational Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Stillwell gave another phony proof sqrt2 irrational Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/8/17
Read Re: Stillwell gave another phony proof sqrt2 irrational Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/9/17
Read Re: Stillwell gave another phony proof sqrt2 irrational Re: analyzing
why the Ancient Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/9/17
Read review of why No Irrationals ever exist Re: analyzing why the Ancient
Greek proof that sqrt2 is irrational is a flawed
plutonium.archimedes@gmail.com
10/9/17
Read Re: review of why No Irrationals ever exist Re: analyzing why the
Ancient Greek proof that sqrt2 is irrational is a flawed
bursejan@gmail.com
10/9/17
Read New MOVIE:: titled PYTHAGOREANS Come Full Circle to PLUTONIUM
plutonium.archimedes@gmail.com
10/9/17
Read Re: New MOVIE:: titled PYTHAGOREANS Come Full Circle to PLUTONIUM
zelos.malum@gmail.com
10/8/17
Read Re: Reviewing whether the Ancient Greek Proof that sqrt2 is
irrational, whether it is mired in flaws, thus, invalid
zelos.malum@gmail.com
10/8/17
Read Re: Reviewing whether the Ancient Greek Proof that sqrt2 is
irrational, whether it is mired in flaws, thus, invalid
bursejan@gmail.com
10/9/17
Read Lies, lies and more lies (AP brain farto)
Jan Burse

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