yes, topological feature of induction- deduction? ?
I get your meaning; as mechanical, but fluid. But many of these terms we throw around are aestheically pleasing, but, theoretically there are many challenges to these ideas. Many of the versions of string theory and other extrapolations derived from the multiplying versions are just that. mental extrapolations. In this area, we must keep in mind that there is very little hard physical or energical data backing them up. They may fit the TOPOLOGICAL form for elegance and beauty. Beauty is a thing that mathematicians and physicists must admit are attractive in their models. I suppose much of it comes from a hidden (often unspoken) deep fascination that allows for mystery and it's seductive charm. For in reality what we are and where we are is REALLY a beautiful and overwhelmingly vast and literally ineffable WONDER! No one with an ounce of humanity can honestly say they have never simply looked at the night sky at least once in their life where they were not awestruck. It does happen. Yes even to physicists. Often then we are driven to find that final equation of ultimate, super penultimate, finality that sums it all up in one extraordinarily beautiful, simple equation. Who has not wondered? Which is more amazing E=MC 2sq or the thinking of it? How was it thought of? Do we yet know what it all means? Wonder is a great motivator of scientific research. I can't remember his name right off, but he addressed a convention of physicists (on quantum mechanics) and in his speech said that today we no longer ask the question ", is the hypothesis crazy, rather, we ask, is it crazy enough ?". JBS Haldane once remarked , "The universe is not only queerer than we suppose; it is queerer than we can suppose." The cyclical idea is another extrapolation on the big bang that has not been proven any more than a crunch. We have even invented dark matter to take the place of the apparent missing mass that should exist in order to keep the galaxies from flying apart based on the amount of required gravitation to keep them so held. No one has ever seen dark matter, or dark energy, or even has a clue what it might be like,, except for further theorization and,... extended further extrapolation. Maybe we just don't know something yet; Probably we don't. But without hypotheses, how and what would we test and measure? So the work goes on...more feverishly, no doubt, due to the latent amazment, that this work ,so far, has inspired.