By Michael Guillen
The technology professional on stable Morning the US deals an exciting and informative survey of the 5 mathematical equations with the best influence on smooth occasions. Reprint. PW.
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Additional resources for Five equations that changed the world
But they provide little if any clarification of the concept of explanation they invoke. Their view does seem to require a concept of explanation that is objective, noncontextual, and not to be understood in terms of a nonexplanatory concept of evidence. In other writings I have proposed an account of explanation that can be used for present purposes. 21 I will then show that it generates a concept of explanation of a type needed for evidence, and I 19. ) 20. Hempel’s alternative model for nondeductive cases, the inductive statistical (I-S) model, will not suit our purposes, since it does not provide a notion of correct explanation.
Not necessarily. It may be evidence for neither. In our coin-tossing example, if we consider the two experiments to have equal probative value and we combine their outcomes in the simplest manner, the result would be 200 tosses with this coin, yielding a total of 100 heads and 100 tails. This combined information by itself would not be evidence that the coin is heads-biased and evidence that it is tails-biased. The combined results in this case do not provide a good reason for believing either or both of the bias theories.
The “high probability” definition, although it satisfies the desire for probability, generates the Wheaties case in which, as we have just seen, the “evidence” provides no reason for believing the hypothesis. 17 17. My thanks are due to Stephen Barker, Robert Cummins, and Dale Gottlieb for valuable comments on material in sections 1–7. F. 24 Evidence and Induction 8. CORRECT EXPLANATION Since the original paper in Mind was published in 1978, my thoughts on evidence (and its relationship to explanation) have expanded, particularly in the Nature of Explanation and in The Book of Evidence.
Five equations that changed the world by Michael Guillen