The Sloot Digital Coding System is an alleged data sharing technique that its inventor claimed could store a complete digital movie file in 8 kilobytes of data — which, if true, would dramatically disprove Shannon's source coding theorem, a widely accepted principle of information theory that predicts how much data compression of a digital file is mathematically possible. The alleged technique was developed in 1995 by Romke Jan Bernhard Sloot (27 August 1945, Groningen – 11 July 1999,[1] Nieuwegein), an electronics engineer from the Netherlands.[2] Several demonstrations of his coding system convinced high-profile investors to join his company, but a few days before the conclusion of a contract to sell his invention, Sloot died suddenly of a heart attack. The source code was never recovered, the technique and claim have never been reproduced or verified, and the playback device he used for demonstrations was found to have contained a hard disk drive, contrary to what he told investors.
If you wanted any movie in 1080x768, and wanted to have it in full colour, that would be 16,777,216 possible colours per pixel, so the number of IDs in your sequentially generated noise database would be 16777216 * 1024 * 768 = 1.319414e+13. This is where I think I might be misunderstanding something, because that number in decimal form is apparently 13194140000000, which means every frame will have an ID that is only 14 digits long.
Where have I made the mistake in concluding that I could store any 1024x768 image in 14 characters so long as my computer could generate an image of that ID?
Edit: I've just realised that 1024x768 is not a standard resolution, but I suppose the point remains with 1920x1080
You can go through picture by picture or search for a picture you already have.
God sees all the space at once (this is an “all knowing” part).
But we are left with the choice of which turn to take at every moment (this is the “free will” part), which picture to draw, which movie to create (this is the “in god’s image” part) etc.
From human perspective there is no difference if you create or explore the phase space. Just a wordplay. Because by definition you can’t distinguish those.
As well as their slideshow: https://babelia.libraryofbabel.info/
Also you'd have to generate these images for them to exist and not merely be probability.
That means the set of all mathematical definitions is countable (i.e. you could assign a whole number to each one, putting them into an infinitely long ordered list).
However, the set of real numbers is uncountable (by Cantor's argument).
Therefore the vast majority of numbers ("almost all" numbers, in a mathematical sense) cannot be defined, even in principle.
Can I move an object X meters away from me, where X is an uncomputable number?
Whether the answer is yes or no, the consequences are very interesting to me.
in fact, you "create" something when its not existed yet, or its never been perceived to exist by anyone. despite in theory everything are already in track of an algorithm, we cant really sure that its already there, or its creating enough effect to be known to exist, i.e. hardly anyone will think about it.
well, after all, whether it is "created" or "discovered" depends on the context and people's general perception about it.
https://philosophy.stackexchange.com/questions/1/is-mathemat...