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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 ?????????????? 3194 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 548 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 510 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 414 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 475 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 398 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 398 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 399 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 398 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 336 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 338 DavidK 08-Feb-18 13:58
cubit of 20.25? 305 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 338 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 396 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 354 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 355 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 374 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 517 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 386 drew 09-Feb-18 00:33
Re: Oh...what a shame... 387 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 407 drew 09-Feb-18 06:02
Re: Oh...what a shame... 410 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 395 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 332 drew 22-Jun-18 09:54
Re: Oh...what a shame... 411 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 488 drew 22-Jun-18 22:27
Re: Oh...what a shame... 360 Sirfiroth 23-Jun-18 01:48
Re: well put 332 drew 23-Jun-18 08:08
To put it bluntly! 373 Sirfiroth 23-Jun-18 12:40
Re: well put 352 Manu 23-Jun-18 18:33
Re: extensions of numbers 307 drew 24-Jun-18 00:40
Re: extensions of numbers 363 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 318 drew 24-Jun-18 08:36
Re: extensions of numbers 309 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 312 drew 24-Jun-18 20:53
Re: extensions of numbers 312 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 289 DavidK 25-Jun-18 16:13
Re: extensions of numbers 296 Sirfiroth 25-Jun-18 16:46
the primitive calculator 293 drew 25-Jun-18 23:23
Re: the primitive calculator 349 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 280 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 346 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 348 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 248 drew 27-Jun-18 05:18
Re: the primitive calculator 322 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 313 drew 27-Jun-18 00:01
Re: the primitive calculator 309 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 283 drew 27-Jun-18 01:56
Re: well put 272 cloister 24-Jun-18 09:43
Re: well put 312 Manu 24-Jun-18 12:59
Re: well put 297 cloister 24-Jun-18 18:14
Re: well put 356 cloister 29-Jun-18 08:48
Re: well put 286 drew 27-Jun-18 05:11
Re: Oh...what a shame... 352 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 382 molder 23-Jun-18 00:24
Re: Oh...what a shame... 363 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 320 DavidK 24-Jun-18 07:41
Understanding the differences! 319 Sirfiroth 24-Jun-18 12:50
No pie for jacob 358 DavidK 24-Jun-18 08:54
Re: No pie for jacob 297 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 323 DavidK 25-Jun-18 20:21
Re: No pie for jacob 327 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 284 molder 26-Jun-18 00:51
Re: what value for pi? 287 drew 26-Jun-18 14:11
Re: what value for pi? 332 molder 26-Jun-18 21:30
Re: what value for pi? 285 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 274 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 328 molder 26-Jun-18 21:18
Re: No pie for jacob 325 DavidK 26-Jun-18 10:34
Re: No pie for jacob 284 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 284 DavidK 26-Jun-18 16:46
Re: No pie for jacob 292 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 319 DavidK 26-Jun-18 18:58
Re: No pie for jacob 331 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 280 DUNE 26-Jun-18 19:52
Re: No pie for jacob 284 DavidK 26-Jun-18 21:18
Re: No pie for jacob 285 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 296 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 322 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 295 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 309 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 352 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 326 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 295 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 317 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 313 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 308 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 360 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 305 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 336 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 323 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 339 DavidK 28-Jun-18 20:00
Tripping over museum rods 336 drew 28-Jun-18 23:52
Museum rods 302 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 326 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 317 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 387 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 322 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 270 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 264 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 400 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 338 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 256 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 280 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 273 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 381 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 296 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 343 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 466 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 324 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 376 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 258 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 362 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 296 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 317 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 291 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 441 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 309 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 257 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 248 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 286 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 348 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 354 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 408 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 318 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 439 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 318 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 293 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 297 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 302 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 333 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 360 DavidK 09-Aug-18 08:00
ROTFLMAO! 254 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 259 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 307 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 247 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 253 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 268 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 292 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 308 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 362 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 370 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 153 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 140 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 154 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 128 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 127 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 137 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 150 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 145 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 143 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 134 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 138 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 131 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 129 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 122 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 171 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 128 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 174 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 147 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 155 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 147 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 135 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 136 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 137 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 151 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 141 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 133 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 149 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 132 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 176 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 140 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 140 molder 03-Jan-20 06:56
Re: Pi vs Pudding 142 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 135 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 133 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 175 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 124 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 132 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 152 molder 04-Jan-20 11:03
Re: Pi vs Pudding 143 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 133 molder 06-Jan-20 02:55
Re: Pi vs Pudding 165 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 127 molder 06-Jan-20 05:26
Re: Pi vs Pudding 131 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 120 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 135 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 149 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 118 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 131 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 130 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 124 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 124 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 152 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 147 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 147 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 135 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 134 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 136 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 193 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 159 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 141 spaceyhippie 04-Jan-20 00:42


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