Probabilities of 0 and 1 are perhaps more like the perfectly massless, perfectly inelastic rods we learn about in high school physics—they are useful as part of an idealized model which is often sufficient to accurately predict real-world events, but we know that they are idealizations that will never be seen in real life.
However, I think we can assign the primeness of 7 a value of “so close to 1 that there’s no point in worrying about it”.
Perhaps the only appropriate uses for probability 0 and 1 are to refer to logical contradictions (eg P & !P) and tautologies (P → P), rather than real-world probabilities?
Probabilities of 0 and 1 are perhaps more like the perfectly massless, perfectly inelastic rods we learn about in high school physics—they are useful as part of an idealized model which is often sufficient to accurately predict real-world events, but we know that they are idealizations that will never be seen in real life.
However, I think we can assign the primeness of 7 a value of “so close to 1 that there’s no point in worrying about it”.
Perhaps the only appropriate uses for probability 0 and 1 are to refer to logical contradictions (eg P & !P) and tautologies (P → P), rather than real-world probabilities?