Each of those questions have several known and unknown answers...
Moreover the same questions applies to your preconception of continuity and probability. How could you know it applies to your inputs? For example: saying “I feel 53% happy” does not make sense, unless you think happiness has a definite meaning and is reducible to something measurable. Both are questionnable. Does any concept have a definite meaning? Maybe happiness has a “probabilistic” meaning? But what does it rest upon? How do you know that all your input is reducible to measurable constitutes, and how could you prove that?
Each of those questions have several known and unknown answers...
Moreover the same questions applies to your preconception of continuity and probability. How could you know it applies to your inputs? For example: saying “I feel 53% happy” does not make sense, unless you think happiness has a definite meaning and is reducible to something measurable. Both are questionnable. Does any concept have a definite meaning? Maybe happiness has a “probabilistic” meaning? But what does it rest upon? How do you know that all your input is reducible to measurable constitutes, and how could you prove that?