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DrRocket
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<p><span style="font-size:10pt;font-family:Arial">A Perspective on Science 2 -- Science, engineering and complexity</span></p><p><span style="font-size:10pt;font-family:Arial">In science the systems discussed in physics texts are generally the most simple (I am ignoring astronomy here).<span> </span>That makes them amenable to strict control in the laboratory and to clear explanation by a small body of basic principles.<span> </span>Chemical systems are more complex than the simple systems from which the most fundamental physical laws have been discovered.<span> </span>Meteorological systems are more complex than the systems of the chemist’s laboratory.<span> </span>Organisms, biological systems, are more generally more complex than non-living systems.<span> </span>Ecological and climatological systems combine the complexity of all of the above.</span></p><p><span style="font-size:10pt;font-family:Arial">Engineers are tasked with applying the laws of science to produce a useful product, usually within a schedule dictated by society or business interests and within a given budget.<span> </span>In many cases the systems under consideration involve complex interactions that are not completely understood.<span> </span>Engineers are then forced to use approximations and empirical models and rules that are supported by a body of data, but do not necessarily meet the level of rigor expected before they would be accepted in the scientific community. <span> </span>Engineering and science are related, but they are distinctly different species.<span> </span>Some branches of science, because of the state of development must rely on models with a level of rigor similar to that of engineering and in that sense are closer to engineering than to physics.<span> </span>If meteorologists remained silent until their models matched the accuracy and rigor of, say, classical Newtonian mechanics, we would still be waiting for the first forecast – but it would probably be right.<span> </span>It is important to recognize the role of complex systems in an area of science, and to recognize the uncertainties that come along with it.<span> </span>Any scientific assertion must me judged in light of those uncertainties and potential errors.</span></p><p><span style="font-size:10pt;font-family:Arial">Now, let us suppose that the physicists succeed in producing the “theory of everything”.<span> </span>Science will not come to halt.<span> </span>Even physics will not come to a halt. Our ability to know the natural world will not be complete.<span> </span>Not nearly complete.<span> </span>The best simple analogy I can give is the game of chess.<span> </span>The rules of chess are fairly simple, easily comprehended by almost anyone.<span> </span>However, knowing the rules of the game does not make one a grand master.<span> </span>From those simple rules spring complex strategies.</span></p><p><span style="font-size:10pt;font-family:Arial">The natural world is similar.<span> </span>We already have a pretty good physical explanation and basic mathematical understanding of the fundamental rules that govern ordinary physics, chemistry and biology.<span> </span>All the forces of our ordinary experience are contained in the combination of quantum electrodynamics and the theory of gravity.<span> </span>All of chemistry, biology, meteorology and indeed all of engineering are governed by physics for which we know the fundamentals quite accurately.<span> </span>There are still mysteries. The dynamics of many bodies is not amenable to exact analysis.<span> </span>We do not fully understand fluid flow, particularly turbulent flow.<span> </span>There is new chemistry discovered daily.<span> </span>We have only scratched the surface of applying physics and chemistry to biology, but those applications are advancing rapidly.<span> </span>Prediction of the weather is more art than science.<span> </span>If you aspire to a career in science do not despair for lack of things to work on.<span> </span>Lack of understanding of complex systems abounds.</span></p><p><span style="font-size:10pt;font-family:Arial">One finds oneself faced with a couple of immediate issues in evaluating assertions labeled as science.<span> </span>One issue is to understand what it means “to understand.”<span> </span>Using the model of mathematics one might reasonably conclude that a piece of science is understood when the theory describing it can be traced directly back to the fundamental physical laws that govern the universe, and when that theory fully describes all known observations.<span> </span>With that definition, with which I do agree, we understand very little.<span> </span>That is probably an accurate assessment of our level of deep understanding, but one that is not particularly useful except as a spur to further research.</span></p><p><span style="font-size:10pt;font-family:Arial">On a more practical level, while aspiring to the rigor of the model provided by mathematics, science is currently satisfied with the production of quantitative models that can accurately predict observed behavior in the natural world and which are at least consistent with, if not clearly derivable from, the fundamental laws of physics.<span> </span>The thought being that if we were smarter we would be able to supply the missing derivation.<span> </span>It is at this point that science clearly diverges from mathematics – the ability and willingness to accept principles that have not been rigorously connected to the fundamentals through deductive logic.<span> </span>Mathematics cannot make such a jump and should not.<span> </span>Science can and must if further progress is to be made.<span> </span>Engineering relies on such jumps in order to function at all.</span></p><p><span style="font-size:10pt;font-family:Arial">In progressing and developing new understanding, science makes jumps in strict logic and progresses as a set of successive approximations.<span> </span>For example, Newtonian mechanics accurately describes the motion of ordinary bodies in our ordinary experience.<span> </span>It is a triumph of the human intellect.<span> </span>It is also, very strictly speaking, wrong.<span> </span>Einstein’s special and general theories of relativity and quantum mechanics all demonstrate that </span><span style="font-size:10pt;font-family:Arial">Newton</span><span style="font-size:10pt;font-family:Arial">’s theories fail to give accurate predictions at the atomic level, and at the macroscopic level in the face of high relative velocities or large gravitational fields.<span> </span>This does not mean that one must discard </span><span style="font-size:10pt;font-family:Arial">Newton</span><span style="font-size:10pt;font-family:Arial">’s theory, only that one must recognize its limitations.<span> </span>Likewise we know that there are limitations to quantum mechanics and to relativity, and an active search is on for something better and less limited.<span> </span>Quantum theory and relativity are not to be discarded in their entirety, but only to be constrained so that the limitations do not become important.</span><span style="font-size:10pt;font-family:Arial"> </span></p><p><span style="font-size:10pt;font-family:Arial">The important point is that progress comes through observation, careful evaluation of data and refinement of theories.<span> </span>Established theories are not discarded wholesale, even when radical new theories emerge.<span> </span>The principle of correspondence applies – new theories must to reduce to established theories for circumstances in which the established theories are known to provide accurate predictions.</span><span style="font-size:10pt;font-family:Arial"> </span></p> <div class="Discussion_UserSignature"> </div>