What is required for a fact to be evidence for a hypothesis? In this book Achinstein introduces four concepts of evidence, which he calls potential, veridical, epistemic‐situation, and subjective. He defines the last three by reference to the first, and then characterizes potential evidence using a new objective epistemic interpretation of probability. The resulting theory is used to provide solutions to four ”paradoxes of evidence” (grue, ravens, lottery, and old evidence) and to a series of questions, including whether explanations or predictions furnish more evidential weight; whether individual hypotheses or only entire theoretical systems can receive evidential support (the Duhem‐Quine problem); and what counts as a scientific discovery and what evidence it requires. Two historical scientific cases are examined using the theory of evidence developed: Jean Perrin's argument for molecules (did he have noncircular evidence for their existence?), and J.J. Thomson's argument for electrons (what sort of evidence did this argument provide?).
An examination of difficulties in three standard accounts of functions leads to the suggestion that sentences of the form “the function of x is to do y” are used to make a variety of different claims, all of which involve a means-end relationship and the idea of design, or use, or benefit. The analysis proposed enables us to see what is right and also wrong with accounts that analyze the meaning of function statements in terms of good consequences, goals, and etiological explanation. It also enables us to show that function sentences can be used in providing various types of explanations, including, in certain cases, noncausal explanations of the presence of the item with the function.
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