Reading the information w/respect to infinite digits of precision example, I was motivated to dig up a Quanta article from a few years ago, Does Time Really Flow? New Clues Come From a Century-Old Approach to Math. I was reminded because this guy, Nicolas Gisin, argues that we cannot even in principle have infinite digits of precision because this requires infinite information, which wrecks determinism. The argument seems to go (very) roughly like this:
Information is physical > Physical space has a limit to how much information it can hold > We cannot write infinite digits in physical space > determinism is bunk
He goes on to propose something called a Finite Information Quantity to tackle this problem, and using intuitionist mathematics is trying to unify (at least philosophically and ontologically) classical and quantum mechanics. That sounds cool, so now I’m jumping in to see what’s happening.
I’m only partway through the introduction, but based on the first few paragraphs and a page or two of skimming, I think you would like it as a matter of taste and style.
Reading the information w/respect to infinite digits of precision example, I was motivated to dig up a Quanta article from a few years ago, Does Time Really Flow? New Clues Come From a Century-Old Approach to Math. I was reminded because this guy, Nicolas Gisin, argues that we cannot even in principle have infinite digits of precision because this requires infinite information, which wrecks determinism. The argument seems to go (very) roughly like this:
Information is physical > Physical space has a limit to how much information it can hold > We cannot write infinite digits in physical space > determinism is bunk
He goes on to propose something called a Finite Information Quantity to tackle this problem, and using intuitionist mathematics is trying to unify (at least philosophically and ontologically) classical and quantum mechanics. That sounds cool, so now I’m jumping in to see what’s happening.
The relevant paper is open access download from the university, but they aren’t all available that way according to his publication list. I expect to write him asking for a few other papers as a result.
I’m only partway through the introduction, but based on the first few paragraphs and a page or two of skimming, I think you would like it as a matter of taste and style.