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🧵 Creative Maths

Anonymous No. 16633165

Can Mathematics ever be creative? Or is it purely a logical-deductive kinda thing?

Anonymous No. 16633191

mine can.

Anonymous No. 16633201

>>16633165
>he's still on the learning phase of math and isn't making new maths on the fly
ngmi

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Nc7+ Qxc7 Qa6 No. 16633362

>Can Mathematics ever be creative?
Yes, but it's (one of) the lowest forms of creativity anyone can possibly offer.

Fr. Queen No. 16633369

>>16633165
The fair game is for the black Knight to drop all pretense/title and attack the white player's Queen (since a pawn can in this position).

Even move in response, all are in mutual line of sight.

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Anonymous No. 16633408

>>16633165
>be creative?
Why don't hyperbolic numbers use hyperbole in their speeches?

Because they're already stretched beyond all reasonable projections on the number line!

Anonymous No. 16633410

>>16633362
>Yes, but it's (one of) the lowest forms of creativity anyone can possibly offer.
You mean one of the most minimal forms? I certainly wouldn't say it's the lowest.

Anonymous No. 16633417

>>16633362
Here's an example.
https://voca.ro/14KLb1Z4QgDA
A word problem where the answer and numbers used for acquiring it have been converted into various hits on a programmable drum set.
There was a band years ago called Whourkr who released an album called 4247 Snare Drums after the apparent amount of times the snare drum was struck during the album. The attached track is based on a problem set I found online and the idea was to make an album of converted word problems called "Home Whourkr" wherein the answer to each simple problem was calculated by the number of high-hat hits in each track. Lowest form of creativity, indeed.

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Anonymous No. 16633654

>>16633165
>>16633408
Half (and fractionnal) derivatives are pretty creative and quite useless for real physics applications, and they are still simple to understand.
But that's not the point of maths to be useful for anything but itself tbqh.

Anonymous No. 16633694

>>16633165
>Mate in 2
Qa6 check
QxQ
Nc7 mate fork

Anonymous No. 16633743

>>16633165
>Can Mathematics ever be creative? Or is it purely a logical-deductive kinda thing?
https://plato.stanford.edu/entries/mathematics-explanation/#SomeConnOtheDeba

Anonymous No. 16633774

>>16633165
It's math equations that draw all those gibli art today.

Anonymous No. 16633993

>>16633774
That sound like the finite monkey theorem with artificial neurons and markov chains instead of monkeys

Anonymous No. 16634027

>>16633993
Markov chains are something totally different to that.

Anonymous No. 16634223

>>16634027
Trying to avoid Markov chains makes every form of reasoning slower.

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Anonymous No. 16634339

>>16633165
>creative?
Why was the number 153 invited to all the exclusive math parties?
Because it was a Narcissistic number - totally obsessed with itself! After all, 13 + 53 + 33 = 1 + 125 + 27 = 153.
When 370 tried to join the party, 153 said, "Welcome to the club! You're just like me - completely self-absorbed. 33 + 73 + 03 = 27 + 343 + 0 = 370!"
Meanwhile, poor 154 was left outside wondering why it could never quite measure up, no matter how hard it tried.

Anonymous No. 16634363

>>16634339
13+53+33=99

Anonymous No. 16634364

>>16633694
nice solution
HOWEVER
forcing the queen to a6 PINS that knight!

This is one of those clever composed problems where everything is kept in tension, and any wrong move will tilt the balance. The thing to notice is that black is in zugzwang themselves: any move allows a mate. Once you notice that, the new goal is to find a move by white which keeps that exact property. Turns out there is one quiet move that does that.

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Anonymous No. 16634387

>>16633165
You and AI just collect inputs from the world, reduce them to compact forms, and spit out amalgamations with correspondences to those forms.
The difference is AI is better at being creative while you end up hopelessly repeating the same subpar patterns because of your cognitive limitations.

Anonymous No. 16634406

>>16633362
>Nc7+ Qxc7 Qa6
followed by black Q takes white K

🗑️ Nc7+ Qxc7 Qa6 No. 16634556

>>16634406
>fuck
lmao even
after Bxc7 there'd be no way to stop Qa6 though (it wouldn't be a mate in 2 but still).
at least this anon got it >>16633694

Nc7+ Qxc7 Qa6 No. 16634563

>>16634406
>fuck
lmao even
after Bxc7 there'd be no way to stop Qa6 though (it wouldn't be a mate in 2 but still).

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Anonymous No. 16634567

>>16634363
13 + 53 + 33

1^3 + 5^3 + 3^3

Anonymous No. 16634590

>>16634567
I see now. The lack of explicit exponentiation threw me off.

Anonymous No. 16634594

>>16634590
>textual medium
Explicit is the only opeme

Anonymous No. 16634596

>>16633191
This
it's all about the person doing it

Anonymous No. 16634598

>>16634596
>first this
And a reply option at the [math]5^2[/math] ordinal

Anonymous No. 16634604

>>16633165
>purely a logical-deductive kinda thing
How do you think people come up with the mathematical structures required to make logical deductions? How do you think people come up with new proof techniques and algorithms? All of this requires creativity

Anonymous No. 16634616

>>16634604
Exactly. Plasmoid gf would never understand cellular automata

Anonymous No. 16634774

>>16633165
>stalemate
kek

Anonymous No. 16634781

>>16634563
>after Bxc7 there'd be no way to stop Qa6 though
Nc7+, QxN, BxQ, RxN, Qa6m
>(it wouldn't be a mate in 2 but still)
the OP is mistaken
it's not "Mate in 2"
as the OP claims

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Anonymous No. 16634782

>>16634567
1^3 + 5^3 + 3^3 = 153

Anonymous No. 16634787

>>16634781
it is mate in 2
I promise you it is
>>16634774
no it's white's move

Anonymous No. 16634876

>>16634787
horsey to C7
pointy thing to A6

Anonymous No. 16634903

>>16634876
a6 is impossible because the queen is pinned to her own king

Anonymous No. 16634943

>>16633165
>Mate in 2

If it's black's turn, then it's mate in two ply.
There are seven different mates in two ply:
QxN, PxQm
Qa6, QxQm
Qa7, Nc7m
RxN, QxRm
Qb6, NxQm
Qc7, NxQm
Qd8, Qa6m

If it's white's turn, then white can play a move-reversal sortie.
Such as RaxB, PxR, RxQ, or Bh1, P, BxP.
But that's mate in five ply.

If it's white's turn, and white plays Qc7, then black plays Qa7.
And there's no mate in three ply.

Anonymous No. 16634952

>>16633165
Qd6 right? Or am I too high to play chess?
Almost thought to move for Knight fork but that was sneaky.

Anonymous No. 16634954

>>16634952
Qd7 my bad. Gotta keep on a white square.

Anonymous No. 16635447

>>16634952
>>16634954
Where's the mate in 2?
>>16634943
That isn't even mate.

Eyedol No. 16635502

Creativity is a logical-deductive thing

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Anonymous No. 16635581

>>16634339
>a Narcissistic number
I found them all.
There are 6 such integers between 000 and 999.
{000, 001, 153, 370, 371, 407}

Anonymous No. 16635772

>>16633165
Kd3 obviously

What I don’t like about this puzzle is that there are plenty of mate in 3’s. But apparently it was still too difficult for >>16633694
>>16634781

Anonymous No. 16635808

>>16635772
>Kd3
is followed by Qd8+.
Which you probably knew, since you avoided
both Kd4, Qd8+, Kc4, Qa5
and Kd4, Qd8+, Ke4, Qd5+, QxQ, PxQ+, KxcP.

There's no mate in two white moves.

But there is a mate in two ply.
In fact, there are seven such mates.
Which you probably knew, since you avioded: >>16634943

This is one of the many ambiguously-worded puzzles on /sci/.

Anonymous No. 16635818

>>16635808
>avioded
avoided

Anonymous No. 16635820

>>16633165
1. Nc7 Qxc7
2. Qa6#
ggs

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Anonymous No. 16635884

>>16633165
>muh creativity vs logic
You sound brainwashed

Anonymous No. 16636000

The OP knows, that there is no "mate in two white moves".
And the OP knows, that his "Mate in 2" is misleading.
In fact, the OP's goal is to mislead other posters into posting
either Qa6+, QxQ, Nc7+, QxK, NxK
or Nc7+, QxN, Qa6+, QxKc4, QxKa8.
The OP is keeping track of how many distinct IP addresses post the former sequence of moves.
Ditto for the latter sequence.
That's the only thing the OP's image, and "Mate on 2" caption, are really about.
Posts which are similar to this post, are typical on /sci/.

Anonymous No. 16636171

>>16636000
>Mate on 2
Mate in 2

Anonymous No. 16636196

>>16633165
Clever puzzle but also bullshit puzzle because you don't tell us Black's last move
>inb4 that's not important retard
If you think it's not important for this puzzle you're the retard

Anonymous No. 16636202

>>16635820
2. Qa6# isn't a legal move, after 1. ...Qxc7, white's queen is pinned to the white king

Anonymous No. 16636203

>>16633165
How many ways are there, total, of reaching this exact game state?

Anonymous No. 16636343

>>16636202
You can still mate with Knight, though good catch on hasty royal bluff

Anonymous No. 16636368

>>16636343
You can't still mate with white's knights.
>1. Nc7 Qxc7
White knight has to stay on c8 square to cover black king's escape on a7. Here's a hint >>16636196

Anonymous No. 16636379

why is this so hard for 4chan? just move the white king and there only like 5 moves black can make, each one allows white to checkmate with the queen or a knight

Anonymous No. 16636397

>>16636368
Right I miscounted the knights, nvm

Anonymous No. 16636537

>>16636196
Very nice.
>>16636000
No there’s a mate in 2, it’s a dirty trick.

Anonymous No. 16636565

>>16636379
because those are all mate in 3s, and the puzzle is mate in 2. Eventually you'll stop pretending to be smart on the internet and just admit when you don't know something

Anonymous No. 16636569

>>16636537
Took me a while to find it, but once you figure out what Black's last move was, you get it right away. Very dirty trick lmao

Anonymous No. 16636602

>>16636569
Uh, it should just be the set of moves for mature pieces and the pawn doubleback otherwise. It's really not a large search space

Anonymous No. 16636641

>>16633165
Lines are quite blurred at the edge of Math and creativity has always been the key to make the greatest leaps forward. The boring part is convincing other mathematicians that your ideas are rigorous enough. I'd say John Conway's contributions to combinatorial theory are a good example of creativity in Math:
https://youtu.be/ZYj4NkeGPdM

Anonymous No. 16636648

>>16636641
Excellent. Adapted at the gestalt level, from your response.

Anonymous No. 16636888

>>16633165
>Mate in 2
what?

Mate in 2 white moves?
Mate in 2 black moves?
Mate in 2 moves of either color?

Which one is it?
I think, that it's the last one.