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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 ?????????????? 3067 Sirfiroth 06-Feb-18 03:26
Re: Pi or no Pi ?????????????? 480 drew 06-Feb-18 04:18
Re: Pi or no Pi ?????????????? 443 Sirfiroth 06-Feb-18 17:37
Re: Pi or no Pi ?????????????? 348 drew 06-Feb-18 23:32
Re: Pi or no Pi ???????????????? 406 Dr. Troglodyte 07-Feb-18 14:44
Re: Pi or no Pi ?????????????? 323 molder 08-Feb-18 05:09
Re: Pi or no Pi ?????????????? 332 Sirfiroth 08-Feb-18 06:43
Re: Pi or no Pi ?????????????? 323 DavidK 08-Feb-18 10:48
Re: Pi or no Pi ?????????????? 322 molder 08-Feb-18 11:56
linking egyptian Pi to imperial Pi 268 DavidK 08-Feb-18 15:10
Re: Pi or no Pi ?????????????? 274 DavidK 08-Feb-18 13:58
cubit of 20.25? 236 DavidK 08-Feb-18 14:12
where does Fibonacci Pi come from? 262 DavidK 08-Feb-18 14:49
Re: cubit of 20.25? 323 Sirfiroth 08-Feb-18 15:08
Re: cubit of 20.25? 285 DavidK 08-Feb-18 15:15
Re: cubit of 20.25? 284 molder 09-Feb-18 03:58
Mod Note > Off-Topic Posts 307 Dr. Troglodyte 09-Feb-18 16:38
Re: cubit of 20.25? 434 Sirfiroth 09-Feb-18 21:02
Oh...what a shame... 316 drew 09-Feb-18 00:33
Re: Oh...what a shame... 313 Sirfiroth 09-Feb-18 04:47
Re: Oh...what a shame... 339 drew 09-Feb-18 06:02
Re: Oh...what a shame... 332 Sirfiroth 09-Feb-18 13:28
Re: Oh...what a shame... 320 DavidK 22-Jun-18 05:58
Re: Oh...what a shame... 262 drew 22-Jun-18 09:54
Re: Oh...what a shame... 326 Sirfiroth 22-Jun-18 13:32
Re: Oh...what a shame... 301 drew 22-Jun-18 22:27
Re: Oh...what a shame... 287 Sirfiroth 23-Jun-18 01:48
Re: well put 263 drew 23-Jun-18 08:08
To put it bluntly! 300 Sirfiroth 23-Jun-18 12:40
Re: well put 287 Manu 23-Jun-18 18:33
Re: extensions of numbers 237 drew 24-Jun-18 00:40
Re: extensions of numbers 295 Sirfiroth 24-Jun-18 04:50
Re: extensions of numbers 238 drew 24-Jun-18 08:36
Re: extensions of numbers 236 Sirfiroth 24-Jun-18 12:22
Re: extensions of numbers 245 drew 24-Jun-18 20:53
Re: extensions of numbers 245 Sirfiroth 25-Jun-18 16:06
Re: extensions of numbers 227 DavidK 25-Jun-18 16:13
Re: extensions of numbers 230 Sirfiroth 25-Jun-18 16:46
the primitive calculator 230 drew 25-Jun-18 23:23
Re: the primitive calculator 276 Sirfiroth 26-Jun-18 02:24
Re: the primitive calculator 212 drew 26-Jun-18 07:06
Mod Note > Duplicate Post Removed 241 Dr. Troglodyte 26-Jun-18 12:45
Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 258 rodz111 26-Jun-18 13:55
Re: Newton's problem solved(the relation between the Roman foot and the Egyptian foot ) 191 drew 27-Jun-18 05:18
Re: the primitive calculator 247 Sirfiroth 26-Jun-18 17:00
Re: the primitive calculator 246 drew 27-Jun-18 00:01
Re: the primitive calculator 234 Sirfiroth 27-Jun-18 00:18
Re: the primitive calculator 215 drew 27-Jun-18 01:56
Re: well put 210 cloister 24-Jun-18 09:43
Re: well put 238 Manu 24-Jun-18 12:59
Re: well put 231 cloister 24-Jun-18 18:14
Re: well put 281 cloister 29-Jun-18 08:48
Re: well put 219 drew 27-Jun-18 05:11
Re: Oh...what a shame... 286 Sirfiroth 22-Jun-18 12:21
Re: Oh...what a shame... 309 molder 23-Jun-18 00:24
Re: Oh...what a shame... 295 DavidK 23-Jun-18 21:06
Re: Oh...what a shame... 246 DavidK 24-Jun-18 07:41
Understanding the differences! 237 Sirfiroth 24-Jun-18 12:50
No pie for jacob 290 DavidK 24-Jun-18 08:54
Re: No pie for jacob 238 Sirfiroth 25-Jun-18 16:44
Re: No pie for jacob 254 DavidK 25-Jun-18 20:21
Re: No pie for jacob 237 Sirfiroth 25-Jun-18 23:19
Re: 5 values for pi in GP here are 3 223 molder 26-Jun-18 00:51
Re: what value for pi? 220 drew 26-Jun-18 14:11
Re: what value for pi? 258 molder 26-Jun-18 21:30
Re: what value for pi? 213 drew 26-Jun-18 23:42
Re: 5 values for pi in GP here are 3 212 Sirfiroth 26-Jun-18 14:55
Re: 5 values for pi in GP here are 3 259 molder 26-Jun-18 21:18
Re: No pie for jacob 247 DavidK 26-Jun-18 10:34
Re: No pie for jacob 210 Sirfiroth 26-Jun-18 15:02
Re: No pie for jacob 205 DavidK 26-Jun-18 16:46
Re: No pie for jacob 220 Sirfiroth 26-Jun-18 17:12
Re: No pie for jacob 230 DavidK 26-Jun-18 18:58
Re: No pie for jacob 255 Sirfiroth 26-Jun-18 22:59
Re: No pie for jacob 216 DUNE 26-Jun-18 19:52
Re: No pie for jacob 206 DavidK 26-Jun-18 21:18
Re: No pie for jacob 221 Sirfiroth 26-Jun-18 23:10
Hard evidence for base 100 using egyptian maths 231 DavidK 27-Jun-18 05:37
Re: Hard evidence for base 100 using egyptian maths 256 drew 27-Jun-18 06:16
Re: Hard evidence for base 100 using egyptian maths 232 DavidK 27-Jun-18 10:25
Re: Hard evidence for base 100 using egyptian maths 238 drew 27-Jun-18 21:18
Re: Pi or no Pi ?????????????? 263 rodz111 25-Jun-18 17:48
Re: Pi or no Pi ?????????????? 261 Sirfiroth 25-Jun-18 19:54
Re: Pi or no Pi ?????????????? 218 rodz111 26-Jun-18 03:13
Re: Pi or no Pi ?????????????? 253 molder 26-Jun-18 03:19
Re: Pi or no Pi ?????????????? 240 rodz111 26-Jun-18 03:30
Re: Pi or no Pi ?????????????? 234 molder 26-Jun-18 21:52
Re: Pi or no Pi ?????????????? 296 rodz111 28-Jun-18 07:44
Re: Pi or no Pi ?????????????? 232 drew 28-Jun-18 09:56
Re: Pi or no Pi ?????????????? 264 rodz111 28-Jun-18 11:09
Re: Pi or no Pi ?????????????? 249 drew 28-Jun-18 17:13
Re: Pi or no Pi ?????????????? 266 DavidK 28-Jun-18 20:00
Tripping over museum rods 255 drew 28-Jun-18 23:52
Museum rods 230 drew 29-Jun-18 00:20
Re: Pi or no Pi ?????????????? 253 rodz111 29-Jun-18 00:37
You're as much as a complainer as anyone but you're not... 243 drew 29-Jun-18 01:24
Re: Pi or no Pi ?????????????? 307 rodz111 30-Jun-18 01:21
You down and dirty so-n-so 254 drew 27-Jun-18 05:29
Re: You down and dirty so-n-so 199 Sirfiroth 27-Jun-18 08:17
Re: You down and dirty so-n-so 204 drew 27-Jun-18 09:49
Re: You down and dirty so-n-so 313 Sirfiroth 27-Jun-18 17:12
The math or the pyramid? 269 drew 27-Jun-18 20:46
Re: You down and dirty so-n-so 187 DavidK 17-Jul-18 23:04
Re: You down and dirty so-n-so 217 Sirfiroth 17-Jul-18 23:16
Re: You down and dirty so-n-so 207 DavidK 17-Jul-18 23:20
Re: Pi or no Pi ?????????????? 302 spaceyhippie 19-Jul-18 10:32
Re: Pi or no Pi ?????????????? 234 molder 19-Jul-18 11:21
Re: Pi or no Pi ?????????????? 276 Sirfiroth 19-Jul-18 12:05
Re: Pi or no Pi ?????????????? 382 spaceyhippie 19-Jul-18 23:57
Re: Pi or no Pi ?????????????? 240 DavidK 20-Jul-18 08:20
Re: Pi or no Pi ?????????????? 303 spaceyhippie 20-Jul-18 21:58
Re: Pi or no Pi ?????????????? 196 DavidK 22-Jul-18 09:41
Re: Pi or no Pi ?????????????? 289 spaceyhippie 23-Jul-18 02:15
Re: Pi or no Pi ?????????????? 233 DavidK 23-Jul-18 08:09
Re: Pi or no Pi ?????????????? 247 Sirfiroth 23-Jul-18 13:49
Re: Pi or no Pi ?????????????? 225 DavidK 23-Jul-18 22:23
Re: Pi or no Pi ?????????????? 250 Sirfiroth 23-Jul-18 23:52
Re: Pi or no Pi ?????????????? 235 DavidK 24-Jul-18 09:11
Re: Pi or no Pi ?????????????? 194 Sirfiroth 24-Jul-18 13:11
Re: Pi or no Pi ?????????????? 177 DavidK 27-Jul-18 06:13
Re: Pi or no Pi ?????????????? 218 Sirfiroth 27-Jul-18 15:45
Re: Pi or no Pi ?????????????? 284 spaceyhippie 24-Jul-18 02:44
Re: Pi or no Pi ?????????????? 279 DavidK 24-Jul-18 17:10
Re: Pi or no Pi ?????????????? 324 spaceyhippie 27-Jul-18 00:51
Re: Pi or no Pi ?????????????? 259 spaceyhippie 27-Jul-18 14:36
Re: Pi or no Pi ?????????????? 362 spaceyhippie 29-Jul-18 11:01
Re: Pi or no Pi ?????????????? 249 DavidK 06-Aug-18 19:15
Re: Pi or no Pi ?????????????? 229 DavidK 07-Aug-18 05:16
Re: Pi or no Pi ?????????????? 236 spaceyhippie 08-Aug-18 09:20
Re: Pi or no Pi ?????????????? 236 DavidK 08-Aug-18 09:39
Re: Pi or no Pi ?????????????? 275 spaceyhippie 09-Aug-18 02:32
Re: Pi or no Pi ?????????????? 292 DavidK 09-Aug-18 08:00
ROTFLMAO! 195 Sirfiroth 09-Aug-18 13:22
Re: ROTFLMAO! 191 DavidK 09-Aug-18 14:12
Re: ROTFLMAO! 214 Sirfiroth 09-Aug-18 14:28
Re: ROTFLMAO! 184 DavidK 09-Aug-18 14:49
Re: ROTFLMAO! 189 Sirfiroth 09-Aug-18 15:03
Re: ROTFLMAO! 211 DavidK 09-Aug-18 21:39
Re: ROTFLMAO! 221 Sirfiroth 10-Aug-18 02:06
Re: Pi or no Pi ?????????????? 235 spaceyhippie 09-Aug-18 20:40
Re: Pi or no Pi ?????????????? 297 DavidK 10-Aug-18 07:59
Re: Pi or no Pi ?????????????? 304 Steve Clayton 12-Aug-18 18:16
Re: Pi or no Pi ?????????????? 96 DavidK 27-Dec-19 23:13
Re: Pi or no Pi ?????????????? 87 Sirfiroth 28-Dec-19 03:46
Pi. All Pi. All The Time. 96 thinkitover 28-Dec-19 04:59
Re: Pi. All Pi. All The Time. 75 molder 28-Dec-19 10:35
Re: Pi or no Pi ?????????????? 71 DavidK 28-Dec-19 10:20
Re: Pi or no Pi ?????????????? 84 Sirfiroth 28-Dec-19 15:13
Re: Pi or no Pi ?????????????? 96 Thanos5150 28-Dec-19 16:30
Re: Pi or no Pi ?????????????? 86 thinkitover 28-Dec-19 21:49
Re: Pi or no Pi ?????????????? 81 Thanos5150 29-Dec-19 04:35
Re: Pi or no Pi ?????????????? 84 Sirfiroth 29-Dec-19 02:17
Re: Pi or no Pi ?????????????? 74 molder 29-Dec-19 04:14
Re: Pi or no Pi ?????????????? 81 Sirfiroth 29-Dec-19 12:51
Re: Pi or no Pi ?????????????? 69 molder 29-Dec-19 22:31
Re: Pi or no Pi ?????????????? 71 Sirfiroth 30-Dec-19 14:11
Re: Pi or no Pi ?????????????? 103 magisterchessmutt 30-Dec-19 15:16
Re: Pi or no Pi ?????????????? 70 Sirfiroth 31-Dec-19 03:33
Re: Pi or no Pi ?????????????? 103 magisterchessmutt 31-Dec-19 04:33
Re: Pi or no Pi ?????????????? 83 Sirfiroth 31-Dec-19 15:04
Re: Pi or no Pi ?????????????? 84 spaceyhippie 31-Dec-19 23:37
Re: Pi or no Pi ?????????????? 86 Thanos5150 29-Dec-19 04:29
Re: Pi or no Pi ?????????????? 80 DavidK 29-Dec-19 09:32
Re: Pi or no Pi ?????????????? 84 Sirfiroth 29-Dec-19 14:09
Re: Pi or no Pi ?????????????? 71 spaceyhippie 01-Jan-20 23:18
Re: Pi or no Pi ?????????????? 93 Sirfiroth 02-Jan-20 01:33
Pi vs Pudding 90 thinkitover 02-Jan-20 21:45
Re: Pi vs Pudding 70 spaceyhippie 03-Jan-20 00:06
Re: Pi vs Pudding 78 seasmith 03-Jan-20 00:24
Re: Pi vs Pudding 75 spaceyhippie 07-Jan-20 23:06
Re: Pi vs Pudding 109 seasmith 08-Jan-20 02:54
Re: Pi vs Pudding 80 Sirfiroth 03-Jan-20 03:36
Re: Pi vs Pudding 76 molder 03-Jan-20 06:56
Re: Pi vs Pudding 82 Sirfiroth 03-Jan-20 18:25
Re: Pi vs Pudding 72 spaceyhippie 04-Jan-20 00:02
LOL, now that was hilarious ! 73 Sirfiroth 04-Jan-20 05:51
Re: LOL, now that was hilarious ! 92 hendrik dirker 04-Jan-20 09:32
Re: LOL, now that was hilarious ! 65 spaceyhippie 04-Jan-20 23:37
Re: LOL, now that was hilarious ! 73 spaceyhippie 04-Jan-20 23:39
Re: Pi vs Pudding 94 molder 04-Jan-20 11:03
Re: Pi vs Pudding 83 Sirfiroth 05-Jan-20 20:11
Re: Pi vs Pudding 67 molder 06-Jan-20 02:55
Re: Pi vs Pudding 96 magisterchessmutt 06-Jan-20 02:58
Re: Pi vs Pudding 68 molder 06-Jan-20 05:26
Re: Pi vs Pudding 74 spaceyhippie 07-Jan-20 01:32
Re: Pi vs Pudding 63 DavidK 07-Jan-20 02:02
Re: Pi vs Pudding 83 thinkitover 06-Jan-20 06:13
Re: Pi vs Pudding 87 Sirfiroth 07-Jan-20 02:18
Re: Pi vs Pudding 64 DavidK 07-Jan-20 14:25
Re: Pi vs Pudding 74 Sirfiroth 07-Jan-20 15:16
Re: Pi vs Pudding 77 DavidK 07-Jan-20 19:03
Re: Pi vs Pudding 64 Sirfiroth 07-Jan-20 20:08
Re: Pi vs Pudding 71 DavidK 07-Jan-20 20:11
Re: Pi or no Pi ?????????????? 93 DavidK 28-Dec-19 11:21
Re: Pi or no Pi ?????????????? 87 engbren 28-Dec-19 12:34
Re: Pi or no Pi ?????????????? 93 Sirfiroth 28-Dec-19 15:55
Re: Pi or no Pi ?????????????? 80 engbren 29-Dec-19 01:14
Re: Pi or no Pi ?????????????? 79 Sirfiroth 30-Dec-19 16:52
Re: Pi or no Pi ?????????????? 80 engbren 30-Dec-19 22:23
Re: Pi or no Pi ?????????????? 128 magisterchessmutt 30-Dec-19 23:24
Re: Pi or no Pi ?????????????? 98 engbren 31-Dec-19 11:31
Re: Pi or no Pi ?????????????? 84 spaceyhippie 04-Jan-20 00:42


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