Recent content by Lars Krogh-Stea

Hi! I want to start with saying that I'm not an expert on these type of problems, but I will be gratefull for some calarifications. I've heard that there's nothing in psysics that says that time travel is impossible. I want to make a case with the time traveling battery. Could be any mass with...

If it works, it should be relevant..

I agree, but there is a first number. That's why I say "mirror the list". Example: 100...0 will turn into 0...001. And for this practical application of mapping people to rooms, I see that as sufficient data to get the job done.

I'm not saying that.. I'm saying the digit 1 with infinitely many zeroes before it can be read as a binary number that you can map to room number 1. The digits 11 with infinitely many zeroes before it can be read as a binary number that you can map to room number 3.. And so on. You have already...

I wrote them from left to right, so you would get what I mean. You say it's impossible to say how many 0's come after 1. But mirror the number and you would see that it doesn't matter. Written from right to left, they would be easy to order and map to room numbers. And thus, for every passenger...

I understand all this.. But are you also saying that in an infinitely large set of infinitely long strings (containing only 1's and 0's) the string 100000000... wouldn't exist, and the string 1010000000... wouldn't exist?

But 010101 is a binary representation of an integer (1*1+0*2+1*4+0*8+1*16+0*32=21). So if you order an infinite set of infinite binary strings, from low binary value value to high binary value, you will in fact be counting by integers, to infinity. Thats why they will map directly to the number...

But how can a string of A's and B's be infinite, but a string of 1's and 0's can not, when you literally just replace the A's with 0's and the B's with 1's? If you have an infinite number of strings made of 0's and 1's, one of the strings would be an infinite number of 0's with a 1 at the end...

Okay, just so I'm sure I understand (remember, I'm scandinavian, english is not my native language). You can count to infinity in ordinary numbers, like this: 1 2 3 4 5 6 But not in binary numbers, like this (the 00...00 in the start is there because each line should be infinitely long, but this...

Okay, I'm not disbelieving anything you said. And I really appreciate the time you've spent enlightening me about infinite numbers. Thank you! I just had an extra question, after seeing the video. You don't have to answer it of course, but i'd be grateful if you did. They present this scenario...

I follow you on these steps, but in the video from Veritasium they present a bus with infite number of people whose name is an infinite combination of the letter A and B. This is presented as an uncountably infinite group of people (trying to stay focused here..). Let's assume their names...

Heres a link to a Youtube video that tries to explain how the hotel can become full when a bus with infinite number of people with names consisting of infinite combinations of the letters A.and B (uncountable). How An Infinite Hotel Ran Out Of Room - Veritasium At the point where he says to...

Unless you add quantum physics to the mix, then I might observe that, statistically, you've suddenly crossed the treshold :D Okay, I'm not making much sense. It's past bedtime in Norway.. Thanks for the lessons guys :)

You are totally right. What i was trying to get across was that these kind of problems/paradoxes lose their aspect of teaching/reflection when they cross over from the experts, like you, to the public, like me. The hotel paradox is full of insights when presented to the academic audience, but is...

Cant(or) can't.. panini or punani. It's alle the same ;)