Standard crank division by zero thread - Page 50

Don Blazys · 2012-11-08, 09:01

Apparently, the moderator has been "protecting" you by erasing
my posts whenever I write something that might hurt your feelings.

Doesn't that make you happy?

science_man_88 · 2012-11-08, 13:40

Quote:

Originally Posted by Don Blazys

The foundations of mathematics are its axioms,

which are defined as "self evident truths".

Consider the "symmetric axiom of equality"

which states that if $c=T$ , then $T=c$

and the "substitution axiom of equality"
which states that we can always substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ .

Well, if

$\left(\frac{c}{c}\right)*c^3= \left(\frac{T}{T}\right)*c^3$ where $T=c$

and the properties of logarithms allow the identity:

$ \left(\frac{T}{T}\right)*c^{3}=T*\left(\frac{c}{T}\right)^{\frac{\frac{3*\ln(c)}{\ln(T)}-1}{\frac{\ln(c)}{\ln(T)}-1}}$ where $T\not=c$

then clearly, those so called

"symmetric and substitution axioms of equality"

are neither self evident, nor always true.

Think about it. If we can't always substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ,
then we must conclude that $\left(\frac{c}{c}\right)=\left(\frac{T}{T}\right)$ is not always true,
and that there do exist some identities in which $\left(\frac{c}{c}\right)\not=\left(\frac{T}{T}\right)$
which of course shakes the very foundations of mathematics.

x/x for x = any value except 0 is asking how many groups of x go into x the answer is always 1, so t/t=1=c/c even if t!=c the reason it doesn't work with 0 is because as wikipedia has shown a/0 = x with a=0 any number of groups of 0 can give you 0 so it can take on any value, and so the value is undefined.

rogue · 2012-11-08, 13:45

Quote:

Originally Posted by Don Blazys

Quoting "rogue":

If c != T, then clearly, (T/T) != (c/c).

Don, do you understand your mistake on this post yet?

Assuming you do, then you need to respond to post #533.

Don Blazys · 2012-11-09, 09:37

Of course I understand my "mistake".
I am using that "mistake" to illustrate
the flaws in our axioms, and
the flaws in your reasoning.

Now, here's a simple yes or no question.

Given the identity:

$ \left(\frac{T}{T}\right)*c^{3}=T*\left(\frac{c}{T}\right)^{\frac{\frac{3*\ln(c)}{\ln(T)}-1}{\frac{\ln(c)}{\ln(T)}-1}} $

can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ?

Please, just answer yes or no
without any commentary whatsoever.

xilman · 2012-11-09, 09:38

Quote:

Originally Posted by Don Blazys

Of course I understand my "mistake".
I am using that "mistake" to illustrate
the flaws in our axioms, and
the flaws in your reasoning.

Now, here's a simple yes or no question.

Given the identity:

$ \left(\frac{T}{T}\right)*c^{3}=T*\left(\frac{c}{T}\right)^{\frac{\frac{3*\ln(c)}{\ln(T)}-1}{\frac{\ln(c)}{\ln(T)}-1}} $

can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ?

Please, just answer yes or no
without any commentary whatsoever.

No

Don Blazys · 2012-11-09, 10:44

Thanks xilman,

I agree.

On a side note, and in case you are curious,
I did make some progress on that polygonal number counting function.
A good fellow named Lars Blomberg was able to determine
the actual count w(x) all the way to x=10^15. It took him about a month
on what he said was a "state of the art processor" but it was well worth it
because with that information, I was able to greatly improve
the counting function.

Our results are posted below, and if you would like to see what the
counting function looks like at this point, then I would be happy to
post that here as well. It's really quite interesting, and as you can see,
the accuracy is remarkable.

x_______________________Actual Count____________Counting Function______Difference
10_______________________3______________________5___________________2
100______________________57_____________________60__________________3
1,000____________________622____________________628_________________6
10,000___________________6,357__________________6,364________________7
100,000__________________63,889_________________63,910_______________21
1,000,000________________639,946________________639,963______________17
10,000,000_______________6,402,325______________6,402,362_____________37
100,000,000______________64,032,121_____________64,032,273____________152
1,000,000,000____________640,349,979____________640,350,090____________111
10,000,000,000___________6,403,587,409__________6,403,587,408__________-1
100,000,000,000__________64,036,148,166_________64,036,147,620_________-546
1,000,000,000,000________640,362,343,980________640,362,340,975________-3005
10,000,000,000,000_______6,403,626,146,905______6,403,626,142,352_______-4554
100,000,000,000,000______64,036,270,046,655_____64,036,270,047,131_______476
200,000,000,000,000______128,072,542,422,652____128,072,542,422,781______129
300,000,000,000,000______192,108,815,175,881____192,108,815,178,717______2836
400,000,000,000,000______256,145,088,132,145____256,145,088,130,891_____-1254
500,000,000,000,000______320,181,361,209,667____320,181,361,208,163_____-1504
600,000,000,000,000______384,217,634,373,721____384,217,634,374,108______387
700,000,000,000,000______448,253,907,613,837____448,253,907,607,119_____-6718
800,000,000,000,000______512,290,180,895,369____512,290,180,893,137_____-2232
900,000,000,000,000______576,326,454,221,727____576,326,454,222,404______677
1,000,000,000,000,000____640,362,727,589,917____640,362,727,587,828_____-2089

LaurV · 2012-11-09, 10:55

Now, here's a simple yes or no question.

Given the identity:

$ \left(\frac{T}{T}\right)*c^{2}=T*\left(\frac{c}{T}\right)^{\frac{\frac{2*\ln(c)}{\ln(T)}-1}{\frac{\ln(c)}{\ln(T)}-1}} $

can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ?

Please, just answer yes or no
without any commentary whatsoever.

Don Blazys · 2012-11-09, 11:11

No.

Don Blazys · 2012-11-09, 11:22

Now, here's a simple yes or no question.

Given the identity:

$ \left(\frac{T}{T}\right)*c^{1}=T*\left(\frac{c}{T}\right) $
can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ?

Please, just answer yes or no
without any commentary whatsoever.

xilman · 2012-11-09, 17:22

Quote:

Originally Posted by Don Blazys

Now, here's a simple yes or no question.

Given the identity:

$ \left(\frac{T}{T}\right)*c^{1}=T*\left(\frac{c}{T}\right) $
can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ?

Please, just answer yes or no
without any commentary whatsoever.

No

rogue · 2012-11-09, 18:44

Quote:

Originally Posted by xilman

No

Don didn't ask for it, but I will. What commentary do you have for your answer?

2012-11-09, 09:37	#543
Don Blazys Feb 2011 10100011₂ Posts	Of course I understand my "mistake". I am using that "mistake" to illustrate the flaws in our axioms, and the flaws in your reasoning. Now, here's a simple yes or no question. Given the identity: $<br /> \left(\frac{T}{T}\right)c^{3}=T\left(\frac{c}{T}\right)^{\frac{\frac{3*\ln(c)}{\ln(T)}-1}{\frac{\ln(c)}{\ln(T)}-1}}<br />$ can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ? Please, just answer yes or no without any commentary whatsoever.

2012-11-09, 10:55	#546
LaurV Romulan Interpreter Jun 2011 Thailand 5·1,931 Posts	Now, here's a simple yes or no question. Given the identity: $<br /> \left(\frac{T}{T}\right)c^{2}=T\left(\frac{c}{T}\right)^{\frac{\frac{2*\ln(c)}{\ln(T)}-1}{\frac{\ln(c)}{\ln(T)}-1}}<br />$ can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ? Please, just answer yes or no without any commentary whatsoever.

2012-11-09, 11:22	#548
Don Blazys Feb 2011 163₁₀ Posts	Now, here's a simple yes or no question. Given the identity: $<br /> \left(\frac{T}{T}\right)c^{1}=T\left(\frac{c}{T}\right)<br />$ can we substitute $\left(\frac{c}{c}\right)$ for $\left(\frac{T}{T}\right)$ ? Please, just answer yes or no without any commentary whatsoever.

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2012-11-08, 09:01	#540
Don Blazys Feb 2011 163 Posts	Apparently, the moderator has been "protecting" you by erasing my posts whenever I write something that might hurt your feelings. Doesn't that make you happy?

2012-11-09, 10:44	#545
Don Blazys Feb 2011 163 Posts	Thanks xilman, I agree. On a side note, and in case you are curious, I did make some progress on that polygonal number counting function. A good fellow named Lars Blomberg was able to determine the actual count w(x) all the way to x=10^15. It took him about a month on what he said was a "state of the art processor" but it was well worth it because with that information, I was able to greatly improve the counting function. Our results are posted below, and if you would like to see what the counting function looks like at this point, then I would be happy to post that here as well. It's really quite interesting, and as you can see, the accuracy is remarkable. x_______________________Actual Count____________Counting Function______Difference 10_______________________3______________________5___________________2 100______________________57_____________________60__________________3 1,000____________________622____________________628_________________6 10,000___________________6,357__________________6,364________________7 100,000__________________63,889_________________63,910_______________21 1,000,000________________639,946________________639,963______________17 10,000,000_______________6,402,325______________6,402,362_____________37 100,000,000______________64,032,121_____________64,032,273____________152 1,000,000,000____________640,349,979____________640,350,090____________111 10,000,000,000___________6,403,587,409__________6,403,587,408__________-1 100,000,000,000__________64,036,148,166_________64,036,147,620_________-546 1,000,000,000,000________640,362,343,980________640,362,340,975________-3005 10,000,000,000,000_______6,403,626,146,905______6,403,626,142,352_______-4554 100,000,000,000,000______64,036,270,046,655_____64,036,270,047,131_______476 200,000,000,000,000______128,072,542,422,652____128,072,542,422,781______129 300,000,000,000,000______192,108,815,175,881____192,108,815,178,717______2836 400,000,000,000,000______256,145,088,132,145____256,145,088,130,891_____-1254 500,000,000,000,000______320,181,361,209,667____320,181,361,208,163_____-1504 600,000,000,000,000______384,217,634,373,721____384,217,634,374,108______387 700,000,000,000,000______448,253,907,613,837____448,253,907,607,119_____-6718 800,000,000,000,000______512,290,180,895,369____512,290,180,893,137_____-2232 900,000,000,000,000______576,326,454,221,727____576,326,454,222,404______677 1,000,000,000,000,000____640,362,727,589,917____640,362,727,587,828_____-2089