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Old 02-27-2017, 01:30 AM   #26
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Re: Down the Rabbit Hole . . .

Proof That 4-D Space Is Real?

Hypothesis: All neurons are connected together this way for maximum number of vertices:



Given the brain is a 3-D structure, it seems impossible for neurons to be connected this way. I wonder what shape the human neural network could possibly be.
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Old 02-27-2017, 02:45 AM   #27
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Re: Down the Rabbit Hole . . .


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Old 02-27-2017, 03:49 AM   #28
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Re: Down the Rabbit Hole . . .



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Old 02-28-2017, 04:18 AM   #29
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Re: Down the Rabbit Hole . . .

Tom Brady prevented this:

Quote:
<--------------> current time <-------------->

<--------------> future time <..............> future time (w/Falcons winning superbowl)
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Old 02-28-2017, 09:35 AM   #30
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Re: Down the Rabbit Hole . . .





Was one hell of a Ride Tuma sick Superbowl . . .
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Old 02-28-2017, 08:30 PM   #31
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Re: Down the Rabbit Hole . . .

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Old 02-28-2017, 10:43 PM   #32
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Re: Down the Rabbit Hole . . .

From "The Mathematics of Mutually Alien Copies" by Shinichi Mochizuki...

Quote:
§4.4. Atavistic resemblance in the development of mathematics:

(i) Questioning strictly linear models of evolution: Progress in mathematics
is often portrayed as a strictly linear affair — a process in which old
theories or ideas are rendered essentially obsolete, and hence forgotten, as soon as
the essential content of those theories or ideas is “suitably extracted/absorbed” and
formulated in a more “modern form”, which then becomes known as the “state of
the art”. The historical development of mathematics is then envisioned as a sort of
towering edifice that is subject to a perpetual appending of higher and higher floors,
as new “states of the art” are discovered. On the other hand, it is often overlooked
that there is in fact no intrinsic justification for this sort of strictly linear model of
evolution. Put another way, there is
no rigorous justification for excluding the possibility that a particular
approach to mathematical research that happens to be embraced without
doubt by a particular community of mathematicians as the path forward
in this sort of strictly linear evolutionary model may in fact be nothing
more than a dramatic “wrong turn”, i.e., a sort of unproductive
march into a meaningless cul de sac.

Indeed, Grothendieck’s original idea that anabelian geometry could shed light
on diophantine geometry [cf. the discussion at the beginning of [IUTchI], §I5]
suggests precisely this sort of skepticism concerning the “linear evolutionary model”
that arose in the 1960’s to the effect that progress in arithmetic geometry was best
understood as a sort of
strictly linear march toward the goal of realizing the theory of motives,
i.e., a sort of idealized version of the notion of a Weil cohomology.
In more recent years, another major “linear evolutionary model” that has arisen,
partly as a result of the influence of the work of Wiles [cf. [Wiles]] concerning Galois
representations, asserts that progress in arithmetic geometry is best understood
as a sort of
strictly linear march toward the goal of realizing the representationtheoretic
approach to arithmetic geometry constituted by the Langlands
program.


As discussed in §4.3, (ii); [IUTchI], §I5,
110 SHINICHI MOCHIZUKI
(aapp) the “mono-anabelian” approach to arithmetic geometry constituted
by inter-universal Teichm¨uller theory
differs fundamentally not only from
(bapp) the motive-/cohomology-theoretic and representation-theoretic approaches
to arithmetic geometry just discussed — both of which may be characterized
as “abelian”! —
but also from
(capp) the “bi-anabelian” approach involving the section conjecture that
was apparently originally envisioned by Grothendieck.
Here, we recall, moreover, the point of view of the dichotomy discussed in §4.3, (ii),
concerning arithmetic holomorphicity and mono-analyticity/multiradiality,
i.e., to the effect that the difference between (aapp), on the one hand, and both (bapp)
and (capp), on the other, may be understood [if, for the sake of brevity, one applies
the term “holomorphic” as an abbreviation of the term “arithmetically holomorphic”]
as the difference between
non-holomorphic existence and holomorphic nonexistence.
Another way to understand, at a very rough level, the difference between (aapp)
and (bapp) is as a reflection of the deep structural differences between
[discrete or profinite] free groups and matrix groups [with discrete or
profinite coefficients]
— cf. the discussion of [IUTchI], §I5. Finally, at a much more elementary level, we
note that the theory of Galois groups — which may be thought of as a mechanism
that allows one to pass from field theory to group theory — plays a fundamental
role in (aapp), (bapp), and (capp). From this point of view, the difference between
(aapp), on the one hand, and (bapp) [and, to a slightly lesser extent, (capp)], on the
other, may be understood as the difference between the “inequalities”
group theory ≫ field theory and
field theory ≫ group theory
— i.e., the issue of whether one regards [abstract] group theory as the central object
of interest, while field theory [which we understand as including vector spaces over
fields, hence also representation theory] is relegated to playing only a subordinate
role, or vice versa.
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Old 03-01-2017, 03:01 PM   #33
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Re: Down the Rabbit Hole . . .

Humans consider themselves unique so they've rooted there whole theory of existence on their uniqueness. One is their unit of measure, but it's not. All social systems we've put into place are a mere sketch. One plus one equals two. That's all we've learned, but one plus one has never equaled two. There are, in fact, no numbers and no letters. We've codified our existence to bring it down to human size to make it comprehensible. We've created a scale so that we can forget its unfathomable scale.

But if humans are not the unit of measure, and the world isn’t governed by mathematical laws, what governs all that?
Film a car speeding down the road. Speed up the image infinitely, then the car disappears. So what proof do we have of its existence? Time gives legitimacy to its existence. Time is the only true unit of measure. It gives proof to the existence of matter. Without time, we don’t exist.





. . .
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Old 03-02-2017, 01:07 PM   #34
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Re: Down the Rabbit Hole . . .

The Snow Man

One must have a mind of winter
To regard the frost and the boughs
Of the pine-trees crusted with snow;

And have been cold a long time
To behold the junipers shagged with ice,
The spruces rough in the distant glitter

Of the January sun; and not to think
Of any misery in the sound of the wind,
In the sound of a few leaves,

Which is the sound of the land
Full of the same wind
That is blowing in the same bare place

For the listener, who listens in the snow,
And, nothing himself, beholds
Nothing that is not there and the nothing that is.

-- Wallace Stevens


Also Thank You Tuma for your last post still thinking it over . . .
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Old 03-02-2017, 01:14 PM   #35
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Re: Down the Rabbit Hole . . .

(All props to MagicNinja best post ever . . . )

Batman, Street Poker,
I was recently having a beer with a few poker players, and we were talking about poker, which sometimes happens unfortunately. I guess there was nothing really going on in this particular bar we were at, so it kind of made sense just to talk shop. The conversation was primarily about whether or not there was something in the water supply of some european countries, particularly those in Scandanavia. Although i've never been to Scandanavia, I have an overactive imagination, allowing me to construct a very realistic image of exactly what happens there.



For starters, there is an evil enemy who is trying to poison the water supply like in the movie BATMAN BEGINS. In that movie, thats a psychiatrist dude, called 'CRANE'. He's a bit of a wackjob, and I like it.


I think i should dress up like this more often.

There's a part in the movie where all the wackjobs who are going crazy are all on an island, and Crane is running about, i think he might even be riding a horse or something. He's clearly at home amongst the crazies. But he's a crazy psychiatrist, so you know he knows his ****. It's really a case of 'in the land of the blind the one eyed man is king'. In Scandanavia, like i alluded to earlier, there is something in the water.

And this is what street poker is all about. I understand that i've just jumped from my metaphor of Batman to talkin about the streets, but Batman wears Black and black people ARE black, so it's really not that different.




I will define Street Poker in italics here, because it is important that you understand the difference between playing Street Poker, and playing a loose aggressive play style. All good players will play LAG when it is most profitable, and they will play TAG when it is most profitable. Great. The thing is, that is a very superficial analysis of the possible ways 2 players can play the great game of heads up poker.

Street Poker is what occurs when two players enter an unspoken agreement to play far more aggressively than normal. This is not exploitable, because as soon as one player tightens up, the game will return to the TAG state of play (at least most of the time). However, so long as one player calls in position with 94s, the other player can do so, and it is not -EV. Both players have agreed that their skills will be better tested by entering more marginal situations, and their proclivity towards degenerate gambling will be satisfied in a much larger way.

The bottom line is that, as i have mentioned earlier, once both players are playing any 2 in position for a reraise, the better player is going to have an extremely high winrate. This is how you run the streets.

Street Poker is all about game flow dynamics. It's impossible to analyse the amount of future winnings you can make after you bluff someone in a spot they would call 80% of the time, or when you call them in a spot you're only good 15% of the time when they shove pot. I'm not supporting these plays, i'm just saying that when you analyse them on a case by case basis, they are bad; i know they're bad; but it is impossible to really quantify their true effects against players who play in many different ways (they might cause a crazy euro to become even MORE crazy; imagine that!!!).

There are a lot of games you can play with people in this environment. In fact, a lot of playing the streets, is about playing games! 'Imagine how bad my enemy will play if i stack his AK with 56s all in preflop!'. 'How annoyed is he going to be if i just donk bet into him on 6 flops in a row?'. 'How's he going to respond if i check raise HUGE on every paired board?'. 'How can I use variance to tilt my opponent, to make him question whether or not he's playing hands in an exploitable way?'.


Look at my chain; I MUST be street!

Here are the standard counter arguments a nitty reader will use:
ARGUMENT: Well he can just fold his 94s some of the time, and call some of the time; thus he will never realise i have tightened up.

ANSWER: This is one of the keys to being a good street poker player. Folding the 94s sometimes, but calling it other times. This way your enemy will think you are playing it every time, and he will play it every time. If you have a completely irrational reason to support your call when you do call, this just adds more equity.

ARGUMENT: Well, I'm sure if i played in a TAG way against these players I would win. I mean, if i play 25/18 oop against someone calling rrs with 94s, i can't lose!

ANSWER: If you're of equal skill as your street poker enemy, and they don't adjust, you will win. However, the street poker player probably isn't going to call 94s all day if he keeps losing against you, or if you just play like a huge nit. And he will probably stop playing you forever. No one's like 'OH MAN KOBE BRYANT WOULD TOTALLY OWN THE BEST STREET BALL PLAYERS'. Of course he would. But Kobes not down in the streets getting his hands dirty. He's in his little world of optimised training and 'making the perfect play'.

You see, Crane was still Bat **** Insane. But on that island, he was ridin a horse and acting like a wild man. He was in his element. If he stayed there forever, he'd probably become a god. Lord of the Crazies. He'd probably even take up smoking cigarettes, and we all know what that says about a person.


Known to smoke a cigarette occasionally

Basically in the land of poker, which has some similarities to Gotham City really (its all turning to ****, people are trying to suck out as much money as possible before it does, there's a crazy Ninja trying to sleep with any cute brunettes he can find), the top Euros are like Crane, ridin around on their horses, makin gold. Sure, Batman comes along sometimes and kicks their asses, but they just get back out on the streets and keep making those bills.

http://forumserver.twoplustwo.com/19...-poker-394442/
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Old 03-02-2017, 11:56 PM   #36
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Re: Down the Rabbit Hole . . .

math is weird. some people think that 12 monkeys on a typewriter would eventually produce the entire work of Shakespeare in perfect language. other people think it's impossible that a strand of RNA in a primordial soup ended up visiting space and smashing particles at CERN.

personally i think the first is wrong and the second one is right. logic and adaptations and motion towards the future follows properties of math and apparently wellness. but i don't think non intelligent life (shout out to all the non human primates reading from home -- don't mean to over generalize you guys are awesome) could produce immaculate genius on even the longest timeline. could they also [digitally] build a replica of the Hadron Collider? Why is that any different?
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Old 03-03-2017, 07:31 AM   #37
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Old 03-03-2017, 07:51 AM   #38
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Re: Down the Rabbit Hole . . .

the spoiled pic is sexual in nature:

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Old 03-04-2017, 02:06 PM   #39
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Old 03-04-2017, 02:12 PM   #40
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Re: Down the Rabbit Hole . . .

hail to the king

Quote:
Alan Mathison Turing OBE FRS (/ˈtjʊərɪŋ/; 23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst and theoretical biologist. He was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general purpose computer.[2][3][4] Turing is widely considered to be the father of theoretical computer science and artificial intelligence.[5]

During the Second World War, Turing worked for the Government Code and Cypher School (GC&CS) at Bletchley Park, Britain's codebreaking centre. For a time he led Hut 8, the section responsible for German naval cryptanalysis. He devised a number of techniques for speeding the breaking of German ciphers, including improvements to the pre-war Polish bombe method, an electromechanical machine that could find settings for the Enigma machine. Turing played a pivotal role in cracking intercepted coded messages that enabled the Allies to defeat the Nazis in many crucial engagements, including the Battle of the Atlantic; it has been estimated that this work shortened the war in Europe by more than two years and saved over fourteen million lives.[6]

After the war, he worked at the National Physical Laboratory, where he designed the ACE, among the first designs for a stored-program computer. In 1948 Turing joined Max Newman's Computing Machine Laboratory at the Victoria University of Manchester, where he helped develop the Manchester computers[7] and became interested in mathematical biology. He wrote a paper on the chemical basis of morphogenesis, and predicted oscillating chemical reactions such as the Belousov–Zhabotinsky reaction, first observed in the 1960s.

Turing was prosecuted in 1952 for homosexual acts, when by the Labouchere Amendment, "gross indecency" was still criminal in the UK. He accepted chemical castration treatment, with DES, as an alternative to prison. Turing died in 1954, 16 days before his 42nd birthday, from cyanide poisoning. An inquest determined his death as suicide, but it has been noted that the known evidence is also consistent with accidental poisoning.[8] In 2009, following an Internet campaign, British Prime Minister Gordon Brown made an official public apology on behalf of the British government for "the appalling way he was treated." Queen Elizabeth II granted him a posthumous pardon in 2013.[9][10][11] The Alan Turing law is now an informal term for a 2017 law in the United Kingdom that retroactively pardons men cautioned or convicted under historical legislation that outlawed homosexual acts.[12]
https://en.wikipedia.org/wiki/Turing_machine

Last edited by Tuma; 03-04-2017 at 02:19 PM.
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Old 03-05-2017, 02:10 PM   #41
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Re: Down the Rabbit Hole . . .


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Old 03-05-2017, 06:39 PM   #42
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Old 03-05-2017, 06:42 PM   #43
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Re: Down the Rabbit Hole . . .



A hypothetical mega structure that completely encompasses a star and captures most or all of its power output.

Nice Pics Tuma and Yeah Turing is the Man . . .
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Old 03-16-2017, 06:55 PM   #44
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Old 03-17-2017, 10:00 AM   #45
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Re: Down the Rabbit Hole . . .

Quote:
Originally Posted by Tuma View Post

1 --> 1
2 --> 1
3 --> 2
4 --> 5

6 --> ?
puzzle from another thread. not sure if filling in what 5 would yield is necessary or helpful, but if someone wants to know i'll tell them.
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Old 03-17-2017, 10:47 AM   #46
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Re: Down the Rabbit Hole . . .

"Atomic Puzzle"

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Old 03-17-2017, 02:59 PM   #47
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Re: Down the Rabbit Hole . . .

Quote:
Originally Posted by Tuma View Post
1 --> 1
2 --> 1
3 --> 2
4 --> 5

6 --> ?
puzzle from another thread. not sure if filling in what 5 would yield is necessary or helpful, but if someone wants to know i'll tell them.
One plus one equals two. That's all we've learned, but one plus one has never equaled two. There are, in fact, no numbers and no letters. We've codified our existence to bring it down to human size to make it comprehensible. We've created a scale so that we can forget its unfathomable scale. -Lucy




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Old 03-23-2017, 03:47 AM   #48
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Old 03-23-2017, 11:21 PM   #49
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Old 04-06-2017, 06:17 PM   #50
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