First Blog

It may be widely believe that knowledge progresses gradually, in small steps, in gentle increments, or in slight gradations.  It may be not so, even for us as individuals.  New knowledge or understanding often begins with insights.  When you gain an insight, and it is true, it becomes applicable and remains so from then on.     This changes one’s problem solving game. This insight provides a new tool or rule, but importantly   it creates a discontinuity in your problem solving methods.    So, we might ask whether insights can come gradually?   In some cases, probably yes, though examples are difficult to furnish.  The emergence of infinity, often credited to Cantor, took centuries of dancing around the edges by philosophers.  The germ theory of disease so often attributed to Pasteur was anticipated almost with the invention of the microscope.   On the other hand plate tectonics seemed to arise by a simple insight by a single person, Alfred Wegener, in 1912 and took a mere half

Using Analogies We all use analogies to explain the concepts we want to impart, to convince, to help understand, and to reduce to a simpler more physical and familiar level of understanding.   Analogies have been used over the great span of time, even in Plato’s Phaedo , where the philosopher’s soul of reason should not do and redo arguments as with Penelope’s rug 2 . (Plato, Phaedo ) Research says indicates that using analogies assists in concept development. This is something we’ve all suspected. It is interesting to note that it is somewhat established in the literature 1 .     To be effective, analogies must be familiar, and their features must be synchronous with those of the target. Reasoning by analogy indicates the target concept is like something else.   You can argue it, but it is still only an analogy and may prove nothing at all.   The real problem is that the analogy may be false, and worse still is that your audience may interpret your intended concept throu