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In response to comment by [deleted] on Proofs, Implications, and Models
Comment author: [deleted] 29 October 2012 06:39:44PM 3 points [-]

Come to think of it, apples don't actually satisfy the ring axioms. In particular, if you have at least one apple, there is no number of apples I can give you such that you no longer have any apples.

In response to comment by [deleted] on Proofs, Implications, and Models
Comment author: imaxwell 01 November 2012 03:50:36PM 2 points [-]

In fancy math-talk, we can say apples are a semimodule over the semiring of natural numbers.

  • You can add two bunches of apples through the well-known "glomming-together" operation.
  • You can multiply a bunch of apples by any natural number.
  • Multiplication distributes over both natural-number addition and glomming-together.
  • Multiplication-of-apples is associative with multiplication-of-numbers.
  • 1 is an identity with regard to multiplication-of-apples.

You could quibble that there is a finite supply of apples out there, so that (3 apples) + (all the apples) is undefined, but this model ought to work well enough for small collections of apples.

Comment author: Desrtopa 04 September 2012 05:36:56PM 28 points [-]

Unfortunately, doing bad shows is not only a route to doing good shows.

Comment author: imaxwell 05 September 2012 05:28:45PM 3 points [-]

True, and I hope no one thinks it is. So we can conclude that doing bad shows at first is not a strong indicator of whether you have a future as a showman.

I guess I see the quote as being directed at people who are so afraid of doing a bad show that they'll never get in enough practice to do a good show. Or they practice by, say, filming themselves telling jokes in their basement and getting critiques from their friends who will not be too mean to them. In either case, they never get the amount of feedback they would need to become good. For such a person to hear "Yes, you will fail" can be oddly liberating, since it turns failure into something accounted for in their longer-term plans.

Comment author: imaxwell 03 September 2012 10:01:52PM 22 points [-]

The only road to doing good shows, is doing bad shows.

  • Louis C.K., on Reddit
In response to comment by Dojan on Timeless Physics
Comment author: Eisenherz 19 April 2012 03:16:57PM 1 point [-]

Then, it would render the configuration a Periodic function, yet Periodic functions are still parameterized by a time-factor.

In response to comment by Eisenherz on Timeless Physics
Comment author: imaxwell 24 April 2012 07:48:52AM *  4 points [-]

Well sure, if you parametrize with a time factor the result will be a periodic function. But you can still de-parametrize and simply have a closed loop described relationally. A parametrization of a circle usually consists of periodic functions, but that doesn't mean the circle itself is periodic. It's just there.

Also remember that "exactly the same configuration" means exactly the same configuration, of everything, including for instance your calendar, your watch, and your brain and its stored memories. So pretty much by definition there would be no record of such a thing happening. We wouldn't need another variable to encode it because we wouldn't need to encode it in the first place.

Comment author: taw 16 February 2012 09:44:57AM 1 point [-]

A few observations:

  • Literally 100% of people who ever lived have done multiple things which unfriendly legal system might treat as crimes, starting from simple ones like watching youtube videos uploaded without consent of their copyright owners, making mistakes on tax forms, reckless driving, defamation, hate speech, and going as far as the legal system wants to go.
  • Vast majority of suspects in US do not get any trial whatsoever, they're forced to accept punishment or risk vastly higher punishment if they want to take their chance of trial.
  • There are good reasons to believe few trials that happen are extremely far from any kind of fairness, and they're stacked to give persecution an advantage. Just compare massive funding of police and prosecutors with puny funding of defense attorneys.
  • US has extraordinarily high number of prisoners per capita. Looking at crime rates alone, it does not have extraordinarily high levels of serious crime per capita. There's no way most people in prisons can be anything but innocent (or "guilty" of minor and irrelevant "crimes" pretty much everybody is "guilty" of and persecuted on legal system's whims).
  • Unless you believe that young black men in US are the most criminal group in history of the world, most of them who are in prisons must be innocent by pure statistics.
Comment author: imaxwell 20 February 2012 08:31:35PM -1 points [-]

I agree with most of what you say, but I'm not so sure about the last two. As others have pointed out, there are many, many cases where the primary suspect of a crime is never prosecuted. Given a choice, prosecutors will usually choose "easy" cases. So an alternate explanation for America's high prison population and incredibly high black prison population is that * more criminals are prosecuted and convicted in America, and * jurors are biased and black criminals are therefore easier to convict; and/or prosecutors are biased and therefore prosecute more black criminals.

Now, since I don't think it's actually optimal for everyone who ever breaks a law to be punished, I have no problem saying, for example, "More criminals are prosecuted and convicted here, and that's too bad."

In response to comment by imaxwell on Timeless Physics
Comment author: jesch 22 November 2011 11:55:42PM 0 points [-]

I also understood this using parametric equations, although I simplified to t, x(t) and y(t), to aid in visualization. So then I was looking at my mental image, and I thought "but what About memory?" At any particular point on my curve, the observer in that point knows what the curve looks like in one direction(past), but not the other. I get that both directions along the curve are determined, but why would my mind contain information about exactly one?

In response to comment by jesch on Timeless Physics
Comment author: imaxwell 20 February 2012 07:32:26PM 1 point [-]

This is off the top of my head, so it may be total bullshit. I find the idea of memory in a timeless universe slippery myself, and can only occasionally believe I understand it. But anyway...

If you want to implement a sort of memory in your 2D space with one particle, then for each point (x0,y0) in space you can add a coordinate n(x0,y0), and a differential relation

dn(x0,y0) = δ(x-x0,y-y0) sqrt(dx^2 + dy^2)

where δ is the Dirac delta. Each n(x0,y0) can be thought of as an observer at the point (x0,y0), counting the number of times the particle passes through. There is no reference to a time parameter in this equation, and yet there is a definite direction-of-time, because by moving the particle along a path you can only increase all n(x0,y0) for points (x0,y0) along that path.

A point in this configuration space consists of a "current" point (x,y), along with a local history at each point. If you don't make any other requirements, these local histories won't give you a unique global history, because the points could have been visited in any order. But if you impose smoothness requirements on x and y, and your local histories are consistent with those smoothness requirements, then you will have only one possible global history, or at most a finite number.

In response to Timeless Physics
Comment author: Manon_de_Gaillande 27 May 2008 06:15:13PM 3 points [-]

For some reason, this view of time fell nicely in place in my mind (not "Aha! So that's how it is?" but "Yes, that's how it is."), so if it's wrong, we're a lot of people to be mistaken in the same way.

But that doesn't dissolve the "What happened before the Big Bang?" question. I point at our world and ask "Where does this configuration come from?", you point at the Big Bang, I ask the same question, and you say "Wrong question.". Huh?

Comment author: imaxwell 20 February 2012 06:25:52PM 4 points [-]

Super-late answer!

If you ask about a configuration X, "Where does this configuration come from?" I will point at a configuration W for which the flow from W to X is very high. If you ask, "Well, where does W come from?" I will point to a configuration V for which the flow from V to W is very high. We can play this game for a long time, but at each iteration I will almost certainly be pointing to a lower-entropy configuration than the last. Finally I may point to A, the one-point configuration. If you ask, "Where does A come from?" I have to say, "There is nowhere it comes from with any significant probability." At best I can give you a uniform distribution over all configurations with epsilon entropy. But all this means is that no configuration has A in its likely future.

The thing is, it doesn't make sense to ask what is the probability of a configuration like A, external to the universe itself: you can only ask the probability that a sufficiently long path passing through some specific configuration or set of configurations will have A in * its future, or * its past. The probability of the former is probably 0, so we don't expect a singularity in the future. That of the latter is probably 1, so we do expect a singularity in the past.

Comment author: [deleted] 18 November 2011 03:27:09PM 0 points [-]

Are you allowed to make bets with Karma upvotes? For instance, is it reasonable to propose "You upvote me once right now. If they confirm that Neutrino's are traveling faster then the speed of light, You remove the upvote you gave me and I will upvote you 89 times."

On the one hand, that sounds like an abuse of the karma system. But on the other hand, it also sounds somehow more fun/appropriate than a money bet, and I feel if you manage to sucessfully predict FTL this far out you deserve 89 upvotes anyway.

Can other people weigh in on whether this is a good/bad idea?

Comment author: imaxwell 18 November 2011 04:58:25PM 3 points [-]

It sounded like a bad idea at first, but if the bet is 1 upvote / 1 downvote vs. 89 upvotes/89 downvotes, it could actually be a good use of the karma system. The only way to get a lot of karma would be to consistently win these bets, which is probably as good an indicator for "person worth paying attention to" as making good posts.

Comment author: imaxwell 15 September 2011 03:53:01AM 3 points [-]

The most obvious solution is to coerce your future self, by creating a future downside of not following through that is worse than the future downside of following through. Nuclear deterrence is a tough one, but In principle this is no different from coercing someone else. (I guess one could ask if it's any more ethical, at that...)

Comment author: ahartell 07 September 2011 07:51:10PM 6 points [-]

Would it be really stupid to use Harry James Potter-Evans-Verres as the fictional character that had an impact on me for my CommonApp essay? On one hand it seems right since he introduced me to lesswrong which has certainly had a big effect but on the other hand... it's... you know... fanfiction.

Comment author: imaxwell 14 September 2011 07:24:54AM 1 point [-]

Hmm... I'm not sure. I'd take the word of someone with experience on an admissions committee, if you can get it.

If you do it, I think you'd be better off talking just a little about the character and much more about the community you found. Writing to the prompt is not really important for this sort of thing. (Usually one of the prompts is pretty much "Other," confirming that.)

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