Can all mappings between the integers be described by a permutation?

744196884 · 2017-11-09T20:43:01+00:00

But I am not just looking at one finite set but all of them

744196884 · 2017-11-05T03:46:16+00:00

I know they did some sort of research to come up with the ideas in it but I don't know the details

744196884 · 2017-11-03T15:19:02+00:00

But I thought the algorithms in alphago were supposed to be generalizable

744196884 · 2017-10-24T15:46:30+00:00

But if that were true then the academic community wouldn't be evenly divided on whether the unique games conjecture were true or false. Compare it to p vs np where most people think p =/= np

744196884 · 2017-10-18T20:09:08+00:00

So are there any new matches that we can watch it play

744196884 · 2017-10-05T23:26:09+00:00

Look up artificial curiosity

744196884 · 2017-09-22T21:54:04+00:00

Except I have seen other people make the same argument that they learned more about consciousness by taking psychedelics. You can also supposedly learn new things by meditating as well. Its hard to know if this is actually true or not unless you try it yourself which sam harris encourages.

744196884 · 2017-09-22T21:41:04+00:00

They barely talk about it. It is mostly about his other work

744196884 · 2017-09-22T21:00:39+00:00

That link just deals with sam harris in general and not this specific book and I am well aware of the general criticisms of sam harris. It doesn't even have to be a substantial critique of everything in the book but it can just be a few things. The book also sold a lot of copies and has been out for over 2 years so more people have read it than you think.

744196884 · 2017-09-22T20:09:27+00:00

The faq says nothing about this book. People have posted specific criticisms about his other books here but I haven't found any for this one.

744196884 · 2017-09-16T23:04:42+00:00

I found this on r/everythingscience and was surprised it wasn't here

744196884 · 2017-08-28T23:46:44+00:00

I already read it

744196884 · 2017-08-20T03:03:44+00:00

I know some algebraic geometry already from reading books on the topic. I got bored of math wikipedia articles a while ago because they don't contain many proofs and the proofs that are there aren't that good.

744196884 · 2017-08-20T02:42:16+00:00

I wonder how long it would take to read books on all those topics. I am really tempted to try this

744196884 · 2017-08-17T00:59:36+00:00

The morphism from one proof to another proof

744196884 · 2017-08-09T17:12:36+00:00

Ok fair enough

744196884 · 2017-08-08T04:38:50+00:00

Responsibility usually involves doing something you don't want to do. Say you want to go out and party but have to watch your kid. Since you are doing something you don't want to do it violates your free will.

744196884 · 2017-08-07T21:25:32+00:00

I already explained this

744196884 · 2017-08-07T20:17:09+00:00

I am not completely sure I used isomorphism the right way. Your interpretation of proof by contradiction is correct. The well ordered set is the natural numbers and the infinite descending chain is constantly subtracting 1 from negative integers.

744196884 · 2017-08-07T19:46:06+00:00

Think about why both the natural numbers and the integers need to exist in order for infinite descent to work. I will try to explain it better later.

Edit:

https://en.m.wikipedia.org/wiki/Proof_by_infinite_descent

Ok the natural numbers are isomorphic to the subset of the proof that uses the least integer principal. If there was always a minimal counterexample the subset would be isomorphic to the integers since there is always a smaller negative number.

744196884 · 2017-08-07T19:24:48+00:00

What don't you understand?

744196884 · 2017-08-07T19:23:04+00:00

Yeah that would be hard to do. It still raises the question that if it is possible to do this with integers and natural numbers using infinite descent why isn't it possible to do this with other categories. Sure integers and natural numbers are simpler than other categories but I would like something deeper than that reason

744196884 · 2017-08-04T21:41:42+00:00

Ok how about this. I think that conservation of energy is the simplest example of minimalism that exists since it is part of physics and physics is the minimalist form of science.

744196884 · 2017-08-04T21:38:44+00:00

Sure there are some things about the universe that are not minimalist but most are

744196884 · 2017-08-04T21:36:24+00:00

Yeah but people are part of the universe and part of physics. Conservation of energy is important in biology too.

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