4 ms·
From an algorithmic information theory, i wouldn't choose any easily reproducible sequence. If you were presented with two array of integers: - 1, 2, 3, 4, 5,
by thegabriele 4y ago
From an algorithmic information theory, i wouldn't choose any easily reproducible sequence.
If you were presented with two array of integers:
- 1, 2, 3, 4, 5, 6
- 95, 10, 39, 45, 6, 47
...which one would you say it's random?
Still, from a frequentist point of view both are.
Where's my mistake?
- lupire 4y agoYou are correct. PP's mathematician was making a bold psychological/sociological claim. Maybe he has seen some research to that effect, but I doubt it.
- yeellow 4y agoYes, of course he knew that all occurrences are equally probable, but he took into consideration what other people bet. Anyway as I remember when asked about that strategy few years later he said he changed the sequence (to 2,3,4,5,6,7 or something similar) to avoid potential prize sharing with people who followed his advice.
- hackandthink 4y agoAlgorithmically random sequence "Martin-Löf's key insight was to use the theory of computation to formally define the notion of a test for randomness." https://en.wikipedia.org/wiki/Algorithmically_random_sequence https://en.wikipedia.org/wiki/Algorithmically_random_sequenc... (now famous for type theory, Per Martin-Löf did Probability Theory) https://en.wikipedia.org/wiki/Per_Martin-L%C3%B6f#Randomness_and_Kolmogorov_complexity https://en.wikipedia.org/wiki/Per_Martin-L%C3%B6f#Randomness...