Maybe read up on the concepts of outcome, sample space, event, probability space, and see what the probability of intersection of events means in terms of all that. It’s this stuff that’s being implicitly used, usually it should be clear how to formulate the informal discussion in these terms. In particular, truth of whether an outcome belongs to an event is not fuzzy, it either does or doesn’t, as events are defined to be certain sets of outcomes.
(Also, the reasons behind omission of the “or equal to”s you might’ve noticed are discussed in 0 And 1 Are Not Probabilities, though when one of the events includes the other this doesn’t apply in any straightforward sense.)
Thanks for the suggestions, and now that I understand the idea that the probability values correspond to a binary interpretation of the events, it makes these areas easier to navigate for me in discussion.
In particular, truth of whether an outcome belongs to an event is not fuzzy, it either does or doesn’t, as events are defined to be certain sets of outcomes.
This definitely stands as a hard to argue against idea, and it makes sense when seen from the viewpoint of rational humans interpreting data from systems based on binary calculations and logic.
Do you think it’s possible that there is a better way than Binary logic to compute and reason though?
Not being familiar with the literature, I wonder if it’s possible that because we have relied on binary logic to compute and reason for so long, it’s created a false dichotomy in our understanding of reality. Is there another way to reason that works better, based on quantum computing rational?
How the next decade will add to the discussion of reality in terms of the advances in Quantum computing seems to be debatable. Translating probability values into either true or false logic is a step in binary computing that I believe quantum computing skips, and so the data returned takes in to account I think, the cases in which ”...one of the events includes the other...” in a more or less straightforward way.
At this point though, (I could be wrong) I believe there is still more of a front end system that runs binary to interpret the Quantum calculations of a quantum computer, because when the data returned isn’t binary, we’re still trying to figure out what it’s good for.
In relation to events and how long or little they last, this whole area of Quantum clocks is interesting to me. We can measure time more accurately because of them, but it seems like so much of the science in common use still relies on the second as the base measurement. Maybe the second is the bottom limit of what humans can somewhat accurately perceive without aid of a tool like a watch, which makes a case for basing measurements of time using more accurate methods off of the second.
Is it possible we could create wet ware with augmented vision which would allow us to ‘perceive’ smaller and smaller units of time, or would we just be better off trying to figure out how to slow down time? Sometimes rationally speaking, in the light of all these scientific advances, it gets a little harder to appreciate humans when you consider our limited abilities. I think it’s our ability to conceptualize these phenomenon though that is our ‘saving grace.’
At this level of technical discussion it’s hopeless to attempt to understand anything. Maybe try going for depth first, learning some things at least to a level where passing hypothetical exams on those topics would be likely, to get a sense of what a usable level of technical understanding is. Taking a wild guess, perhaps something like Sipser’s “Introduction to the Theory of Computation” would be interesting?
Maybe read up on the concepts of outcome, sample space, event, probability space, and see what the probability of intersection of events means in terms of all that. It’s this stuff that’s being implicitly used, usually it should be clear how to formulate the informal discussion in these terms. In particular, truth of whether an outcome belongs to an event is not fuzzy, it either does or doesn’t, as events are defined to be certain sets of outcomes.
(Also, the reasons behind omission of the “or equal to”s you might’ve noticed are discussed in 0 And 1 Are Not Probabilities, though when one of the events includes the other this doesn’t apply in any straightforward sense.)
Thanks for the suggestions, and now that I understand the idea that the probability values correspond to a binary interpretation of the events, it makes these areas easier to navigate for me in discussion.
This definitely stands as a hard to argue against idea, and it makes sense when seen from the viewpoint of rational humans interpreting data from systems based on binary calculations and logic.
Do you think it’s possible that there is a better way than Binary logic to compute and reason though?
Not being familiar with the literature, I wonder if it’s possible that because we have relied on binary logic to compute and reason for so long, it’s created a false dichotomy in our understanding of reality. Is there another way to reason that works better, based on quantum computing rational?
How the next decade will add to the discussion of reality in terms of the advances in Quantum computing seems to be debatable. Translating probability values into either true or false logic is a step in binary computing that I believe quantum computing skips, and so the data returned takes in to account I think, the cases in which ”...one of the events includes the other...” in a more or less straightforward way.
At this point though, (I could be wrong) I believe there is still more of a front end system that runs binary to interpret the Quantum calculations of a quantum computer, because when the data returned isn’t binary, we’re still trying to figure out what it’s good for.
In relation to events and how long or little they last, this whole area of Quantum clocks is interesting to me. We can measure time more accurately because of them, but it seems like so much of the science in common use still relies on the second as the base measurement. Maybe the second is the bottom limit of what humans can somewhat accurately perceive without aid of a tool like a watch, which makes a case for basing measurements of time using more accurate methods off of the second.
Is it possible we could create wet ware with augmented vision which would allow us to ‘perceive’ smaller and smaller units of time, or would we just be better off trying to figure out how to slow down time? Sometimes rationally speaking, in the light of all these scientific advances, it gets a little harder to appreciate humans when you consider our limited abilities. I think it’s our ability to conceptualize these phenomenon though that is our ‘saving grace.’
At this level of technical discussion it’s hopeless to attempt to understand anything. Maybe try going for depth first, learning some things at least to a level where passing hypothetical exams on those topics would be likely, to get a sense of what a usable level of technical understanding is. Taking a wild guess, perhaps something like Sipser’s “Introduction to the Theory of Computation” would be interesting?
I just downloaded the 2nd edition. Thank you for the suggestion.