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[TheoriaApophasis]

He thinks that it is a Ratio

Golden ratio is a ratio?  Yes, how crazy of me. 

You can take _any_ Fibonacci sequence starting with _any two numbers

Tell that fucking shit to mother nature, "she" started out with 1
idiot   

exact value of PHI, because it is an irrational number.

Its not a number dumbass, its a ratio.     Specifically of 1 in extrapolation.


How drunk are you tonight son?

[TinselKoala]

So you want to play, do you Kenny? 

[TinselKoala]

Golden ratio is a ratio?  Yes, how crazy of me. 


Tell that fucking shit to mother nature, "she" started out with 1
idiot   



Its not a number dumbass, its a ratio.     Specifically of 1 in extrapolation.


How drunk are you tonight son?

A ratio of WHAT, Kenny? State the two numbers that form the RATIO that equals PHI exactly. You cannot !

[MarkE]

How could someone claim that, indeed. But Kenny Wheeler did. He also thinks that the decimal expansion of Phi stops at 1.618, apparently. He thinks that it is a Ratio, but he can't say a ratio of what. Let him tell us the two numbers that comprise the ratio of PHI, _exactly_.  He cannot.

Phi is a ratio as defined by Euclid.  It is not a ratio of two finite integers.

Here is the actual value of PHI computed to 200 decimal places:
1·61803 39887 49894 84820 45868 34365 63811 77203 09179 80576 [/pre]  28621 35448 62270 52604 62818 90244 97072 07204 18939 11374 [/pre]  84754 08807 53868 91752 12663 38622 23536 93179 31800 60766[/pre]  72635 44333 89086 59593 95829 05638 32266 13199 28290 26788... [/pre]http://jwilson.coe.uga.edu/emt668/emat6680.2003.fall/kirkham/emat6700/phi/phi.htm

I hope there isn't going to be a test later asking me what the 169th digit of phi is.

You can take _any_ Fibonacci sequence starting with _any two numbers_ and the farther out you go, the closer to this NUMBER above will be the RATIO of the last two numbers in your Fibonacci sequence. But there are NO two integers that will give the exact value of PHI, because it is an irrational number. You can only APPROXIMATE Phi by any ratio of natural numbers.

Yes, I agree.

(Caps so that the apparently blind Kenny can read them more easily.)

I, of course am using the terms "Ratio", "Irrational", "Natural" and "Number" in their actual mathematical meanings, not some made-up "definitions" that Kenny uses to bolster his ego.

I have no comment on what drives Mr. Wheeler to believe it is acceptable to attach his own unique personal meanings that conflict with well-accepted terms.   It does not facilitate education or communication.  IMO it is basically counterproductive.

[TheoriaApophasis]

blah blah, im an idiot

the FUNNY thing, ...honestly, ............is that your enemies hold you in HIGH regard.   


Of the 12 or more people that messaged me that your an "disinformation agent"


They're actually giving you credit that you're smart enough to pull that job off.



I hold no such delusion that even your enemies have as regards yourself.