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Test your “free will” at the Aaronson Oracle

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Re: Test your “free will” at the Aaronson Oracle

#231

It's not very good, it's hovering around 0.5, which I think means it's guessing about as well as chance? Also it's broken in Safari.

It doesn't work in Safari because they used arrow syntax for JS function, which is not supported in Safari: ` () => { `

Re: Test your “free will” at the Aaronson Oracle

#234
post #50
post #24

At first I was stuck at ~0.95 but I was just striking the keys really fast but then I concentrated and looked at the keys and really tried to feel which key I wanted to press and it worked. I was able to score lower ~0.4. I'm computationally irreducible for now.

Well, if your score is .4, a computer could predict you with .6 accuracy just by predicting what you will press and then guessing the opposite :)

I think this more just highlights the problem of trying to predict behavior when there are only two options.

Re: Test your “free will” at the Aaronson Oracle

#235
post #40

Got it to 0.5991561181434598 after a while (totally random would be "0.5"). Not sure how "free will" comes into play, if there was indeed free will, I could have freely decided to only press one, and the Oracle would have had close to 100% certainty. Rather, what it measures is randomness or predictability, which is not the same thing as free will (especially "after the fact", e.g. after the choice is made).

I can consistently get 60% by drumming the keys with both index fingers, not consciously picking the values but still generating them myself.

Re: Test your “free will” at the Aaronson Oracle

#236
post #167

Earlier quoted context omitted.

Do you have any references on the statistical properties of the primes % 4 sequence? When converted to coin flips, primes % 4 fails the statistical randomness tests at http://faculty.rhodes.edu/wetzel/random/mainbody.html See results at http://imgur.com/iaHBNNr ("Your nth attempt" is primes % 4, "Coin nth attempt" is the Marsaglia PRNG). Note that primes % 4 has too many runs, its prob(H given H) is too low, and its…

It was meant to be read a question, not statement ("are you aware of a simpler PRNG I could pull from the top of my head, using basic arithmetics?"). Maybe a collatz sequence? You're right, apparently it's called Chebyshev's bias.

I'm not aware of a simpler PRNG. It took me quite a search to find Marsaglia's.

Re: Test your “free will” at the Aaronson Oracle

#239
post #226

Earlier quoted context omitted.

Haha, I did the same thing! From memory: 3.141592653589793238462643383279502884197969399375105 Now, the interesting question, how accurate is my recollection after all these years? Ack, one digit off!

141592653589793238462643383279502884197 9 69399375105... that 9 should be a 1, right?

Indeed.

Re: Test your “free will” at the Aaronson Oracle

#240

Earlier quoted context omitted.

Haha, I did the same thing! From memory: 3.141592653589793238462643383279502884197969399375105 Now, the interesting question, how accurate is my recollection after all these years? Ack, one digit off!

If a transcendental number is imperfectly remembered, are its digits thereby less random?

More random, I'd say.
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