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my rhinestone math hat is still in the laundry this morning;
so, my coffee and i will attempt to merely wax philosophical

it is true that pi and √2 (etc.)
will appear in their exact form
(naturally slash ...automatically)
when happened upon accidentally
such as using the length of a square's diagonal for anything further
(regardless of anyone's current understanding of irrationality, etc.)
but if an irrational number is used
without being brought to naturally,
we rationally suspect foreknowledge,
wandering unarmoured into a gauntlet,
and shielded only by our calculators, but:

without consulting my notes, i can recount (like a TNG epidose)
that the poor bloke who discovered that √2 is indeed irrational
...did not end well (though history is ...divided, as to ...specifics)
the ancient greeks were convinced that, since:
there are infinite fractions between 1 and 0,
there should be no such thing as irrationals;
the fractions should account for all infinity
...ah, but there are many flavors of infinity

for instance, in our modern infinite appreciation, we now know that
if you count to infinity using only 1's, it will take you twice as long
vs counting to infinity using 2's, which gets there twice as fast
but there is no "there" to get to, it just keeps going forever...
(so, infinity is kinda only as far as your own personal horizon)
sorta like how dividing by zero, etc. produces DNE (does not exist) errors
but as a denominator approaches zero, the limit/result approaches infinity
i used to like to say "anything divided by nothing equals infinity"
(thinking myself simultaneously clever, and clever, and clever...)
but our now modern math is very careful about such dealio thingies
cuz so many things go to infinity
many roads lead in that direction

(so, the original name was sposedta be Roam... y’know, like, to “roam”?
n we were thinkin maybe: all roads could lead, like, away from there...)
as i say: coffee + vacation = qed

a curve known as Gabriel's Horn
has infinite area in 2 dimensions
(as x approaches infinity, y approaches 0)
but in 3 dimensions, the volume is pi (aha, hehe)
- probably... infinite thingies... like that... one imagines?

...anyways, using humble 22/7 (etc) in place of proud pi (etc)
easily seems like known ancient historic mere muggle attempts
...as per their limited understanding...
and our limited understanding of that

"no one expects the spanish inquisition"

Satire is a little like proof by contradiction
which first assumes a false estimate is true
and plugs that into the equation in question...
which then naturally produces erroneous results
...such as saying wanton silly things like 2 + 2 = 5
so, now we know the presumption is indeed false
and may more easily track down the actual truth

so, just because you have someone using 22/7 in place of pi
doesn't necessarily mean that they (obviously) didn't know
that proud pi wasn't equal to humble 22/7 exactly
...it may have just been more ...convenient... (hmm)
(which may have been the impetus for inventing math)
...for example; pi squared is kinda approximately 9.8
...which is also coincidentally approximately "little g"
or Earth's gravitational effect at or near the surface
9.8 meters per second squared
(or 32 feet per second squared)
my favorite math professor likes to joke
that one can be substituted for the other
which, of course, is true if you're in a hurry
and exactitude is unnecessary, such as his tests/exams
where proof of understanding is the whole/only point
(ironically, higher math sheds a need for calculators)

(...the scientific mode of the windows 10 calculator
goes out to like 20 digits past decimal or something)

in this fashion, political satire works by giving your opponent the benefit of the doubt
(let's say the world is flat, now let's see what else would have to be true... aha, hehe)
and often points out blatant hypocrisy or willful ignorance
due to the inherent hilarity of the erroneousness produced
thus, often very effective at exposing disingenuousness, etc.
(or at least saving poor saps from wandering off alleged edges)

"on second thought, let's not go to camelot, it is a silly place"
=o)

so, how does one prove anything, mathematically,
by other than a meticulous process of elimination,
using proof by contradiction, all out into ...infinity?
aha - proof by induction - hehe
(we will induce the truth from it)
to prove that some equation containing n is true for all n
- basically, you start with n=1, then plug in n+1... for fun...
if still true, we then substitute n+1 for n, giving us (n+1)+1
and usually end up with some version of the original premise
n both sides being equal, we pat our and each other's shoulders
seemingly relaxed now that we have evidence of our own cleverness
...perhaps oblivious to our own obliviousness
regarding ancient awareness of irrationality

so, if we want to prove that the ancient builders/architects...
had knowledge of the inherent irrationality of some numbers,
we just hafta catch em in the act
of actually being that irrational
'o.

everyone watch a vid
on Pascal's Triangle

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Subject Views Written By Posted
Pi or no Pi ?????????????? 3220 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 565 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 528 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 431 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 490 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 417 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 415 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 417 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 418 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 352 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 355 DavidK 08-Feb-18 13:58
cubit of 20.25? 323 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 357 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 413 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 375 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 373 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 392 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 571 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 405 drew 09-Feb-18 00:33
Re: Oh...what a shame... 404 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 423 drew 09-Feb-18 06:02
Re: Oh...what a shame... 490 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 410 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 347 drew 22-Jun-18 09:54
Re: Oh...what a shame... 428 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 505 drew 22-Jun-18 22:27
Re: Oh...what a shame... 377 Sirfiroth 23-Jun-18 01:48
Re: well put 348 drew 23-Jun-18 08:08
To put it bluntly! 390 Sirfiroth 23-Jun-18 12:40
Re: well put 368 Manu 23-Jun-18 18:33
Re: extensions of numbers 322 drew 24-Jun-18 00:40
Re: extensions of numbers 382 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 334 drew 24-Jun-18 08:36
Re: extensions of numbers 325 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 329 drew 24-Jun-18 20:53
Re: extensions of numbers 329 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 305 DavidK 25-Jun-18 16:13
Re: extensions of numbers 313 Sirfiroth 25-Jun-18 16:46
the primitive calculator 310 drew 25-Jun-18 23:23
Re: the primitive calculator 365 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 296 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 413 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 364 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 266 drew 27-Jun-18 05:18
Re: the primitive calculator 352 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 330 drew 27-Jun-18 00:01
Re: the primitive calculator 328 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 301 drew 27-Jun-18 01:56
Re: well put 287 cloister 24-Jun-18 09:43
Re: well put 329 Manu 24-Jun-18 12:59
Re: well put 317 cloister 24-Jun-18 18:14
Re: well put 386 cloister 29-Jun-18 08:48
Re: well put 305 drew 27-Jun-18 05:11
Re: Oh...what a shame... 369 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 399 molder 23-Jun-18 00:24
Re: Oh...what a shame... 379 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 337 DavidK 24-Jun-18 07:41
Understanding the differences! 356 Sirfiroth 24-Jun-18 12:50
No pie for jacob 375 DavidK 24-Jun-18 08:54
Re: No pie for jacob 314 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 338 DavidK 25-Jun-18 20:21
Re: No pie for jacob 347 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 301 molder 26-Jun-18 00:51
Re: what value for pi? 303 drew 26-Jun-18 14:11
Re: what value for pi? 350 molder 26-Jun-18 21:30
Re: what value for pi? 305 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 291 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 345 molder 26-Jun-18 21:18
Re: No pie for jacob 341 DavidK 26-Jun-18 10:34
Re: No pie for jacob 301 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 300 DavidK 26-Jun-18 16:46
Re: No pie for jacob 310 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 335 DavidK 26-Jun-18 18:58
Re: No pie for jacob 346 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 295 DUNE 26-Jun-18 19:52
Re: No pie for jacob 300 DavidK 26-Jun-18 21:18
Re: No pie for jacob 303 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 311 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 353 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 312 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 327 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 370 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 343 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 313 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 334 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 330 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 325 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 376 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 323 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 352 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 374 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 356 DavidK 28-Jun-18 20:00
Tripping over museum rods 351 drew 28-Jun-18 23:52
Museum rods 317 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 343 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 333 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 406 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 339 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 285 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 280 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 417 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 356 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 273 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 296 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 288 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 399 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 316 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 359 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 486 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 340 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 393 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 274 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 379 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 313 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 335 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 308 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 619 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 328 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 274 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 265 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 301 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 363 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 373 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 423 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 334 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 454 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 337 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 310 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 312 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 321 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 349 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 377 DavidK 09-Aug-18 08:00
ROTFLMAO! 270 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 276 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 401 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 262 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 270 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 283 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 308 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 321 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 376 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 382 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 167 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 153 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 168 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 140 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 139 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 150 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 167 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 157 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 155 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 147 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 150 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 144 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 144 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 135 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 183 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 142 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 187 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 160 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 168 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 162 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 148 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 152 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 151 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 165 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 155 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 147 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 164 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 147 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 190 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 154 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 155 molder 03-Jan-20 06:56
Re: Pi vs Pudding 156 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 151 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 149 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 193 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 138 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 148 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 167 molder 04-Jan-20 11:03
Re: Pi vs Pudding 157 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 146 molder 06-Jan-20 02:55
Re: Pi vs Pudding 177 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 143 molder 06-Jan-20 05:26
Re: Pi vs Pudding 145 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 134 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 148 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 162 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 131 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 145 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 144 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 137 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 137 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 164 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 159 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 159 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 147 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 148 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 149 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 207 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 172 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 154 spaceyhippie 04-Jan-20 00:42


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