## Search found 19 matches

Fri Mar 02, 2018 10:50 pm UTC
Forum: Logic Puzzles
Topic: An unusual resolution of the liar's paradox.
Replies: 27
Views: 17238

### Re: An unusual resolution of the liar's paradox.

My standard answer to the Liar's Paradox is that it is neither true nor false; it is non-sense. I would argue that in order for something to be a statement at all or to have a truth value, it must be well formed. For an easy example, consider: "Wednesday potato blue." I think everyone woul...
Fri Mar 02, 2018 10:30 pm UTC
Forum: Logic Puzzles
Topic: Jenga
Replies: 15
Views: 11516

### Re: Jenga

For anyone considering physical versions of the game with perfect play, for a level that is supported by a single block in the middle, it is possible to knock that block out of the way and have the top part fall onto the bottom part without toppling over leading to the possibility of an infinite game.
Wed Feb 28, 2018 10:24 pm UTC
Forum: Science
Topic: Speed of gravity.
Replies: 36
Views: 9950

### Re: Speed of gravity.

If (big if!) some similar form of ripple-worthy gravitational disturbance existed betwixt EH and Singularity, would it actually matter (NPI) to anything outside the horizon, as you'd only 'feel' the sum mass (and charge, and angular momentum?), not any of the details. It would violate the concept o...
Thu Jul 20, 2017 8:47 pm UTC
Forum: Science
Topic: Is All Evidence Statistical?
Replies: 23
Views: 6576

### Re: Is All Evidence Statistical?

All evidence is inherently statistical because it took statistical inference to learn anything at all. When you first start thinking, whenever that may be, the only thing you know is whatever biologically determined heuristics evolution has programmed into us. From that point, everything has to be i...
Wed Jun 28, 2017 6:56 pm UTC
Forum: Science
Topic: Is terraforming Uranus and Neptune possible?
Replies: 22
Views: 6925

### Re: Is terraforming Uranus and Neptune possible?

I say we siphon off from these planets, as well as and especially Jupiter, and feed them to the sun to prolong it's life. After which we can siphon off the sun to feed the Alpha Centauri system, and replace Sol with a modern synthetic. We can't let these historic sites just turn into the slums of t...
Thu Jan 26, 2017 7:26 pm UTC
Forum: Logic Puzzles
Topic: Paper and Pencil Game Puzzle
Replies: 5
Views: 5506

### Re: Paper and Pencil Game Puzzle

We can see that there exists a strategy by which the first player can always win by "strategy stealing" argument. 1) There must be a winner when the whole board is filled because a complete wall blocking the other player would be a winning path itself. 2) Having an additional dot on the bo...
Fri Jan 06, 2017 8:24 pm UTC
Forum: Science
Topic: Would the disco ball really still end up inside a black hole?
Replies: 12
Views: 3080

### Re: Would the disco ball really still end up inside a black hole?

Shit. Yeah. That's a goooood point I assume you're referring to the previous post pointing out that the collapse is happening at c, and that's exactly what led me down this path of not being convinced. If instead of a light shell, it was a bunch of sub-atomic bouncy balls that all some how fall in ...
Fri Jan 06, 2017 7:18 am UTC
Forum: Science
Topic: Would the disco ball really still end up inside a black hole?
Replies: 12
Views: 3080

### Re: Would the disco ball really still end up inside a black hole?

spherical shells behave externally as if all their mass is at the centre. I know this is true of static systems and systems where you don't take into account the fact that gravity only propagates at the speed of causality, but I'm fairly certain that this is not necessarily true of dynamic systems ...
Thu Jan 05, 2017 7:08 pm UTC
Forum: Science
Topic: Would the disco ball really still end up inside a black hole?
Replies: 12
Views: 3080

### Would the disco ball really still end up inside a black hole?

PBS Space Time recently had a challenge question involving two different proposed solutions to saving the earth from being trapped inside a Kugelblitz. https://www.youtube.com/watch?v=v3hd3AI2CAA They also released the solution video https://www.youtube.com/watch?v=q_oHv6HCMX4 In it they claim that ...
Thu Nov 03, 2016 6:57 pm UTC
Forum: Logic Puzzles
Topic: Infinite Balls and Jugs [solution]
Replies: 611
Views: 117070

### Re: Infinite Balls and Jugs [solution]

I did some more reading about the surreals. They contain the integers and the reals within them, but they aren't a set, they are a proper class. And because of how they are recursively defined, even though they contain the reals and the reals are Dedekind Complete, the surreals are not and they have...
Tue Nov 01, 2016 4:02 pm UTC
Forum: Logic Puzzles
Topic: Infinite Balls and Jugs [solution]
Replies: 611
Views: 117070

### Re: Infinite Balls and Jugs [solution]

You're right: both of those questions can be asked. The answer to both is, easily, "there is no such step." If there were a last step, then there would be a ball that is the last ball removed. However, there is no last step. The difference between my question and yours is that my question...
Fri Oct 28, 2016 4:08 pm UTC
Forum: Computer Science
Topic: Deliberately bad algorithms
Replies: 120
Views: 61533

### Re: Slowest Sorting Algorithms that Terminate

Since i is a constant, this works out to O(t(n)^2) with a very, very large constant. The smallest possible value of t(n) is O(n*log(n)) (if it were smaller then a comparison sort faster than O(n*log(n)) would be possible), giving O((n*log(n))^2) runtime, which is surprisingly good for a sort that i...
Fri Oct 28, 2016 3:43 pm UTC
Forum: Logic Puzzles
Topic: Infinite Balls and Jugs [solution]
Replies: 611
Views: 117070

### Re: Infinite Balls and Jugs [solution]

What ball is removed in step "ω/10"? Well if you're going to start asking those sorts of questions, then I guess I'll just have to give up and agree with Wildcard that there can be no correct answer. Because if you're going to ask which ball is removed at step ω/10, we might as well also ...
Tue Oct 25, 2016 7:10 pm UTC
Forum: Logic Puzzles
Topic: Infinite Balls and Jugs [solution]
Replies: 611
Views: 117070

### Re: Infinite Balls and Jugs [solution]

I guess I need to amend my answer.

In the case where we place the next ten balls in the jug and then remove the lowest:
If we don't have any balls beyond ω to start with. Then when we reach step ω/10 we run out of balls to add. And the last 9ω/10 of the integers remain in the jug.
Tue Oct 11, 2016 8:01 pm UTC
Forum: Logic Puzzles
Topic: Infinite Balls and Jugs [solution]
Replies: 611
Views: 117070

### Re: Infinite Balls and Jugs [solution]

I feel like this problem is much more easily solved in the Surreal Numbers than it is in the familiar natural numbers which are explicitly all finite. The Surreals include all the natural numbers, but also explicitly includes the number ω which is greater than all natural numbers and in the Surreal ...
Thu Aug 18, 2016 7:31 pm UTC
Forum: Science
Topic: What is the Biggest Non-Repeating Molecule?
Replies: 39
Views: 10048

### Re: What is the Biggest Non-Repeating Molecule?

What counts as a "repeating group"? Does CH3 not count because we repeated hydrogen twice? At what point do you count DNA to be repeating i.e. what's the largest chain of DNA that you count as being non-repeating? Do we only get 1 usage of each nucleotide? So, we could make AGTC, but AGTCG...
Tue Aug 16, 2016 2:04 pm UTC
Forum: Computer Science
Topic: Deliberately bad algorithms
Replies: 120
Views: 61533

### Re: Slowest Sorting Algorithms that Terminate

2 Assuming no turing machine is ever removed from the list, though I would be surprised if removal of the terminated machines would lower the complexity class. If you actually have a useful bound on the fraction of turing machines that terminate after a set amount of steps, I have a suspicion that ...
Mon Aug 15, 2016 6:55 pm UTC
Forum: Computer Science
Topic: Deliberately bad algorithms
Replies: 120
Views: 61533

### Slowest Sorting Algorithms that Terminate

For some reason I'm interested in really slow sorting algorithms. We've all heard about terrible ones like Bogo Sort that has average running time of O(n!), but is not guaranteed to terminate. There are others such as Slow Sort which has a greater than polynomial running time and doesn't really admi...
Wed Jul 20, 2016 3:34 pm UTC
Forum: Logic Puzzles
Topic: Escape the Frictionless Circle
Replies: 156
Views: 64293

### Re: Escape the Frictionless Circle

Solution: Spacetime Swimming Assuming we are in a positively curved space time (which seems like a fair assumption given our scenario has gravity), it ought to be possible to employ space time swimming by repeatedly following the steps listed here: http://www.science20.com/hammock_physicist/...

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