This is Philosophy of Science. Franz-Peter Griesmaier

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have found a regularity, and now you are curious about how to account for it. It quickly occurs to you that the squirrel probably only spends the effort of searching when there is a good chance to find food. Since the park is a favorite lunch spot for quite a few people, who often bring their dogs, some leftovers are bound to end up in the trash bin in the afternoon. By 1:00 p.m. (the time of your stroll), most people have left, the dogs are gone, and the area is fairly safe for the squirrel to commence its foraging. The regularity in the squirrel’s behavior seems best explained in terms of the regularity exhibited in people’s lunch behavior and that of their canine companions.

      But how should we go about finding appropriate candidates for explanations? This is a tricky question and perhaps not something for which there exists a general answer. Some people reason by analogy, others in terms of plausibility, etc. How a person comes up with a candidate explanation is a psychological question. There doesn’t seem to be any foolproof methodology that guides the researcher from observed regularity to explanatory hypothesis. Rather, discoveries of explanations are often influenced by individual background beliefs, the person’s creativity, and many other factors that defy a clear systematization. Thus, philosophers of science have routinely distinguished between the context of discovery and the context of justification. The context of discovery is characterized by the circumstances in which a scientist finds, or discovers, her explanatory theories. Because different scientists go about finding explanations in different ways, or so it has been argued, nothing of interest to the philosopher of science who is trying to find the universal norms that govern science, can be learned from how scientists discover their hypotheses.

      However, the context of justification is a different matter. Once we have an explanation, in the form of a hypothesis or a more encompassing theory, we can legitimately ask whether or not we are justified in accepting that hypothesis or theory. On most accounts, a theory is rationally acceptable if it gets the data right for which it was invented, and also new data that hasn’t been observed so far. In other words, we see what predictions the theory makes about the world and then check whether those predictions come to pass. If they do, good; if not, bad. How to spell out “good” and “bad” in this context is the subject of the next main section on theory confirmation.

      However, this selection of what is worth observing by referring to our already accepted stock of theories has a somewhat surprising consequence. If it is true that what we deem worthy of observing today is constrained by theories we accept, and if those theories were based on observations deemed worthy of making, which in turn were constrained by prior theories, and so on, all the back to the “beginning of science,” it becomes quickly clear that our current theories are constrained by early observations through the historical trajectory of theories initiated by those observations. In other words, we have to acknowledge the possibility that what seems scientifically interesting today has been strongly shaped by the “starting point” of science. Had humanity been noticing things other than what it did notice, the scientific trajectory may have looked very different with the result that our current science might be different as well.

      3.2 Theory Appraisal

      Suppose you found a theory which you consider to be pretty convincing. Others don’t agree. What can you do? One thing to do is of course to show that the theory accounts for all the data – evidence – that are relevant to it. In particular, you are in good shape if you can show that your theory correctly predicts data that have not been collected yet. For example, suppose that a theory explains reductions in the Earth’s temperature in terms of periods of volcanic activity during which emitted material reflects solar energy. Suppose further that in 1979, a scientist predicted that after an eruption of 0.5 to 1.0 cubic miles of ejecta, global temperatures would drop by 0.1 degrees Celsius. And then came the eruption of Mount St. Helens which spewed 0.7 cubic miles of material into the atmosphere – and the Earth cooled by 0.1 degrees. Well, the theory would be looking pretty good! How exactly does this process work – what is its logic, as it were?

      3.2.1 Confirmation through Predictive Success

      One influential proposal for how to understand this process is Carl Gustav Hempel’s model of theory confirmation. It basically reduces confirmation to a two-step process. First, a scientist generates testable predictions from a theory. Second, the researcher determines whether or not those predictions are borne out by appropriate observations, which of course include measurement results and experimental outcomes. For Hempel, the first step was a matter of deductive logic. Here’s an example.

      Suppose that you want to defend the theory that the earth is spherical. The ancient philosopher Aristotle was one of the first to describe a test for this theory. The idea behind his attempt at confirmation is very simple. If the earth were spherical, we’d expect to see a ship that leaves the harbor to not only look smaller and smaller as it sails away, but to also disappear nonuniformly over the horizon. At the appropriate distance, we might be able to still make out the masts and the sails without seeing the hull of the ship anymore. So, the theory “The earth is spherical” predicts a partial disappearance of the ship. If you go to the harbor, you can actually make this observation – the ship disappears from the bottom-up, and the theory has been confirmed by this observation.

      Hempel

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