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Our beliefs are really probabilities that a certain world exists. If we believe something to be true, it really means we believe that something is 99.999% true. Even that level of certainty is hard to achieve, since 100% certainty is infinite certainty.
I suspect that we can actually explain deductive logic with the same framework. All deductive logic requires a base assumption, which is like having a prior of 100% for a given state in inductive logic. This cannot be a true inductively achieved state for our map, since 100% certainty is infinite certainty. However, we can use deductive logic as a tool to append to our inductive logic.
Scientists may say they are not certain and mean that they are not 100% certainty is infinite certainty. This may to lead a public that interprets this uncertainty as being higher than the scientist intended.