Probabilities per element treat probability as an intensive property. I suggest: A distribution is a data structure carrying an expectation for every thing that depends on an x∈X.

So if X is [0;6], and the thing-depending-on-x is x², then the distribution concentrated on 5 has a 25 written there, the six-sided-die distribution has Σ6i=1i² written there, and the uniform distribution has ∫60t²dt written there.

Halving an orange keeps its temperature/color/velocity, but halves what mass/energy/charge hang out there. An element has a property, but a quantity has an element.

Probability mass hangs out in timelines.Δ1X(x) should be “Take this x!”, not “Are you x?”, agree? Else this won’t write itself and needs countability.

Probabilities per element treat probability as an intensive property. I suggest: A distribution is a data structure carrying an expectation for every thing that depends on an x∈X.

So if X is [0;6], and the thing-depending-on-x is x², then the distribution concentrated on 5 has a 25 written there, the six-sided-die distribution has Σ6i=1i² written there, and the uniform distribution has ∫60t²dt written there.

what do you mean my intensive property, and why do you think i don’t want that?

Halving an orange keeps its temperature/color/velocity, but halves what mass/energy/charge hang out there. An element has a property, but a quantity has an element.

Probability

masshangs out in timelines.Δ1X(x) should be “Take this x!”, not “Are you x?”, agree? Else this won’t write itself and needs countability.