Does True Randomness Actually Exist?

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Avatar of MeDez24
I think that I’m a pretty random person
Avatar of SercanDurdu

Life is the proof

Avatar of A_PersonWhoPlaysChess

Idk if someone already said this but I think they made true randomness using quantum computers

Avatar of FlareTheBlitz
I mean, with computer programs, luck isn’t actually random. But what if you look at it from the perspective of real life? Are the events of LIFE truly random?
Avatar of Elroch
A_PersonWhoPlaysChess wrote:

Idk if someone already said this but I think they made true randomness using quantum computers

It's already done using thermal noise. It is fundamentally unpredictable.

Avatar of FlareTheBlitz
“Unpredictable” doesn’t exactly equal “true randomness” though. Because if you think about it, a computer program can only store so much data. At a certain point, the amount of data it can store reaches a limit.

It’s like if you have a 1 million sided die. There’s a LOT of potential results, but it’s not an INFINITE amount.
Avatar of FlareTheBlitz
Because for something to be TRULY random, there has to be an INFINITE number of outcomes. By that logic, a LOT of things people consider “random” aren’t TRULY random at all.

A slot machine can only show a certain amount of slots. A roulette wheel can only have the ball land in a certain amount of spaces. Poker and Blackjack only has a certain amount of hands the player can get.
Avatar of noodles2112

say for instance the candy bar called Mr. Goodbar which contains chocolate & peanuts made on an assembly line - what if a person buys a Mr. Goodbar and somehow there were no peanuts -

was the wrapping wrong and it should have been Hersey's or did the factory Not add the peanuts Randomly ?

Avatar of FlareTheBlitz
#3618 But in that instant, that doesn’t really seem like a random event. It sounds more like a factory worker being lazy and not adding in the peanuts.
Avatar of Elroch
FlareTheBlitz wrote:
“Unpredictable” doesn’t exactly equal “true randomness” though.
 
Actually it does when it is an absolute condition.
 
Avatar of FlareTheBlitz
#3620 My bad 😅

I guess I should’ve said that it’s not the ONLY factor to “true randomness”. Something being completely unpredictable doesn’t mean much of anything if there’s not a lot of possible results. You’d have to have an INFINITE amount of possibilities.
Avatar of Elroch

I can be definitive and say you are talking about two different things. An infinite number of possibilities means you can have an infinite amount of randomness (measured in bits). By contrast a completely random coin flip is completely random, but it only requires one binary bit to represent that randomness.

Say for example you have a biased coin, and it comes up heads 2/3 of the time and tails 1/3 of the time. The results are still random, but the amount of randomness (technically called Shannon entropy) is lower than that for a fair coin. That is the sense it which it is "not as random" as a fair coin.

If you want a calculated number, the amount of randomness for a fair coin is:

-1/2 * log2(1/2) -1/2 * log2(1/2) = 1 bit

while for my biased coin it is -1/3 * log2(1/3) - 2/3 * log2(2/3) ~= 0.9183 bits

The latter is less (perhaps surprisingly only slightly less).

Avatar of Miles-Tails-Prower_1992

Trogdor!!!!

Avatar of Elroch

Mathematically inclined people may like this video. I hope it is not too bewildering to anyone. Do tell me. It's kind of university level, but doesn't involve particularly difficult concepts.

It's about infinite graphs, which are infinite sets of points, some (but not necessarily all) of which have an edge connecting them.

Avatar of Optimissed

May imply recursivity in some way? Mind you, didn't watch the vid.

Avatar of FlareTheBlitz
#3621 TROGDOR!!!!!
Avatar of Elroch
Optimissed wrote:

May imply recursivity in some way? Mind you, didn't watch the vid.

It's an excellent video about a fascinating mathematical fact. I am not sure the treatment of infinite objects would be in your wheelhouse, so to speak. But it could help your understanding if you watched it with the right attitude.

The wonderful central fact is that there is only one random graph (with a very general definition of what that is - something that could be made a tad clearer in the video, to be frank! To be fair, he does give two constructions and shows they are the same with probability 1).

The Rado Graph (also known as "the random graph")

[One more precise statement of the "there's only one random graph" theorem is as follows:

If you construct a graph by starting with a countable set of points and randomly connected each pair of points with some probability 0 < p < 1, then, with probability 1, you get the same graph to within isomorphism. For clarity, two graphs are isomorphic if there is a 1-1 mapping between their sets of vertices that preserves the property of two vertices being connected or not ].

Avatar of Miles-Tails-Prower_1992

TROGDOR!!!! TROGDOR!!!! Trogdor was a man!!!! I mean...he was a dragon man!!!! Er...maybe he was just a dragon!!!! Um...but he was still TROGDOR!!!! TROGDOR!!!! Burninating the country side!!!! Burninating the peasants!!!! Burninating all the people and the thatched roof COTTAAAAAAAGES!!!! THATCHED ROOF COTTAAAAAAAGES!!!! And the trogdor comes in the NIIIIIIIIIIIIIIIIGHT!!!!!!!

Avatar of FlareTheBlitz
#3626 When you said “TROGDOR!!” my first thought was Guitar Hero 2 lol
Avatar of Miles-Tails-Prower_1992

If you watch homestar runner than you'll get it. It's on you tube.

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