11–20 of 39 posts
Randomness is an equal chance that one of a number of events occur. Is he arguing that we do not know what randomness is? Or that we have not found anything truly random?
Randomness is an equal chance that one of a number of events occur. Is he arguing that we do not know what randomness is? Or that we have not found anything truly random?
It's sort of strange -- Physics seems like it should be deterministic, so where could random possibly come from? If the Universe is deterministic, then shouldn't anything we observe that seems 'random' actually not random(including human thoughts!?!?)? Enter philosophy land.
Reminds me of the question of consciousness.
A major candidate for the physical substrate of consciousness is the ability for a system to integrate information, thereby locally reducing its entropy and thus its randomness, at the expense of its environment.
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- Consciousness as Integrated Information: a Provisional Manifesto; Giulio Tononi; http://www.biolbull.org/content/215/3/216.long
- Integrated Information in Discrete Dynamical Systems: Motivation and Theoretical Framework; David Balduzzi, Giulio Tononi; http://www.ploscompbiol.org/article/info%3Adoi%2F10.1371%2Fj...
- Qualia: The Geometry of Integrated Information; David Balduzzi, Giulio Tononi; http://www.ploscompbiol.org/article/info%3Adoi%2F10.1371%2Fj...
http://www.ploscompbiol.org/article/info%3Adoi%2F10.1371%2Fj...
- A perturbational approach for evaluating the brain's capacity for consciousness; Marcello Massimini1, Melanie Boly, Adenauer Casali1, Mario Rosanova1, Giulio Tononi; http://www.coma.ulg.ac.be/papers/vs/massimini_PBR_coma_scien... - http://www.sciencedirect.com/science/article/pii/S0079612309...
- Granger Causality Analysis of Steady-State Electroencephalographic - Signals during Propofol-Induced Anaesthesia; Adam B. Barrett, Michael Murphy, Marie-Aurélie Bruno, Quentin Noirhomme, Mélanie Boly, Steven Laureys, Anil K. Seth1; http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjourna...
- Hierarchical clustering of brain activity during human nonrapid eye movement sleep; Mélanie Boly, Vincent Perlbargb, Guillaume Marrelec, Manuel Schabus, Steven Laureys, Julien Doyon, Mélanie Pélégrini-Issacb, Pierre Maquet, and Habib Benalib; http://www.pnas.org/content/109/15/5856.short
Reminds me of the question of consciousness.
they are related, what is free will?
That's unlikely, though. See http://www.ams.org/notices/200902/rtx090200226p.pdf
Much of the financial world is about the appearance of quantitative thinking and not actual quantitative thinking.
Basically it says that a process is random iff it doesn't exhibit any atypical property that you can test with an algorithm.
In other words: if there is no computable way of proving that it's not random, then it is random.
I love when financial types talk about a "20% chance" of X happening (like earnings miss, default, etc) If you are familiar with the postulates of probability, you realize that they are talking out of their butts, and are trying to sound oh-so-precise-and-mathematical. Much of the financial world is about the appearance of quantitative thinking and not actual quantitative thinking.
I think one of the most widely accepted definitions of randomness in mathematics was given by Martin-Löf. Basically it says that a process is random iff it doesn't exhibit any atypical property that you can test with an algorithm. In other words: if there is no computable way of proving that it's not random, then it is random.