> Sorry, Feynman, whatever else he did, on probability he gets a grade of flat F. Here is why: In his book Lectures on Physics he states that a particle of unknown location has a probability density uniform over all of space. No it doesn't. No such density can exist. Done. Grade flat F.
I would rather consider that because it seems that you "need" a uniform distribution for a particle of unknown location, it might makes sense for such applications from physics to weaken the property that a probability measure has to be σ-additive to that a probability measure has to be additive. Then it should be possible to define such a "uniform probability 'measure' over all space", perhaps similarly to the example given at
I would rather consider that because it seems that you "need" a uniform distribution for a particle of unknown location, it might makes sense for such applications from physics to weaken the property that a probability measure has to be σ-additive to that a probability measure has to be additive. Then it should be possible to define such a "uniform probability 'measure' over all space", perhaps similarly to the example given at
> https://en.wikipedia.org/w/index.php?title=Sigma-additive_se...