BurntVictory comments on An Intuitive Explanation of Solomonoff Induction - Less Wrong

53 Post author: Alex_Altair 11 July 2012 08:05AM

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Comment author: BurntVictory 13 July 2012 12:00:53AM *  2 points [-]

The idea of reducing hypotheses to bitstrings (ie, programs to be run on a universal Turing machine) actually helped me a lot in understanding something about science that hindisght had previously cheapened for me. Looking back on the founding of quantum mechanics, it's easy to say "right, they should have abandoned their idea of particles existing as point objects with definite position and adopted the concept and language of probability distributions, rather than assuming a particle really exists and is just 'hidden' by the wavefunction." But the scientists of the day had a programming language in their heads where "particle" was a basic object and probability was something complicated that you had to build up--the optimization process of science had arrived at a local maximum in the landscape of possible languages to describe the world.

I realize this is a pretty simple insight, but I'm glad the article gave me a way to better understand this.

Comment author: Mitchell_Porter 13 July 2012 02:06:44AM 0 points [-]

they should have abandoned their idea of particles existing as point objects with definite position and adopted the concept and language of probability distributions, rather than assuming a particle really exists and is just 'hidden' by the wavefunction

When people describe something with a probability distribution, they normally continue to think that it does have a definite property and they just don't know exactly what it is. To abandon the idea of a particle having a definite position is logically distinct from adopting the use of probability distributions.

Perhaps you mean that they should have adopted the view that the wavefunction is a physical object? That was what Schrodinger and de Broglie wanted. But particles show up at points, not smeared out. It took many decades for someone to think of many worlds coexisting inside a wavefunction.