thales1940 (thales1940) wrote in ljphilosophy,
thales1940
thales1940
ljphilosophy

the relation between induction and deduction

When you organize a series of inductions into a generalized set the process begins with the ability to observe and isolate things by their similarities and, implicitly, their differences. Similarity is common-sensical, differences (implications) have to be learned. Science begins when we learn to measure differences. Science is the process by which we unify differences to their implications. It has the effect of making the approximate, exact. You could think of it as a gestalt where any given unit contains similarities and differences. It is commonsense to notice the similarities first. The gestalt of the ambiguous vase/two faces is literally ambiguous. The difference between that which dominates the scene is about 50/50.

Consider any two things that are similar. The length of 1974 and 1975 are similar in that they were both 365 days long. They are different by approximately 1/4 day. How is it possible to integrate these two numbers? Notice that 365 is cardinal while approximately 1/4 is ordinal. If the 1/4 were cardinal, ie, exact, there would be no problem, it is easy to integrate 'exactness'. If we add exact to exact we get exact. If we add exact to inexact we get inexact, however, it is possible to approach exactness as close as we need using a calculus. It is the ability to approach exactness that makes all science possible. Science owes part of its identity to the calculus. Induction can be rendered deductive with the calculus.
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