Reasoning can go from true similar things to true general thing or pattern {induction, logic}. Starting from examples, induction can formulate conclusion that is not implicit in premises. Properties of some class members can predict properties of all class members.
complete
Premises can be less general than conclusion, but together they can cover all instances in conclusion {complete induction}.
numerical
If property of number one is also property of number n, then property is also property of n+1 and property of all natural numbers {numerical induction}.
eliminative
Observing many examples can find properties that remain constant or true and causes that have effects and can eliminate properties that are untrue or change and causes have no or different effect {Baconian induction} {eliminative induction, Bacon}.
invalid cases
Induction does not always apply. Valid predictions about the future based on hypothesis do not necessarily confirm the hypothesis. Two independent studies can inductively prove hypothesis, but when combined can disprove hypothesis. Highest event probability is not highest combined-event probability. Pairwise probability choices are not necessarily transitive.
Mathematical Sciences>Logic>Reasoning>Induction
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Date Modified: 2022.0224