"Making" is not "making up".
When you flip a coin a bunch of times and decide that it's fair, you've made numbers. There are no numbers in the coin itself, but you reasonably can state the probability of the coin coming up heads and even state your certainty in this estimate. These are numbers you made.
As a more general observation, in the Bayesian approach the prior represents information available to you before data arrives. The prior rarely starts as a number, but you must make it a number before you can proceed further.
There are no numbers in the coin itself, but you reasonably can state the probability of the coin coming up heads and even state your certainty in this estimate. These are numbers you made.
No, those are numbers you found. The inherent tendency to produce numbers when tested in that way ("fairness/unfairness") was already a property of the coin; you found what numbers it produced, and used that information to derive useful information.
Making numbers, on the other hand, is almost always making numbers up. Sometimes processes where you make numbe...
Another month has passed and here is a new rationality quotes thread. The usual rules are: