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Ideas for 'Parmenides', 'Scientific Objectivity' and 'Commentary on Euclid's 'Elements''

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3 ideas

14. Science / A. Basis of Science / 3. Experiment
The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
     Full Idea: The 'experimenter's regress' says that to know whether a result is correct, one needs to know whether the apparatus is reliable. But one doesn't know whether the apparatus is reliable unless one knows that it produces correct results ...and so on.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 2.3)
     A reaction: [H. Collins (1985), a sociologist] I take this to be a case of the triumphant discovery of a vicious circle which destroys all knowledge turning out to be a benign circle. We build up a coherent relationship between reliable results and good apparatus.
14. Science / C. Induction / 6. Bayes's Theorem
The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]
     Full Idea: The Bayesian approach is outspokenly subjective: probability is used for quantifying a scientist's subjective degree of belief in a particular hypothesis. ...It just provides sound rules for learning from experience.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 4.2)
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
     Full Idea: Geometry does not ask 'why?' ..When from the exterior angle equalling two opposite interior angles it is shown that the interior angles make two right angles, this is not a causal demonstration. With no exterior angle they still equal two right angles.
     From: Proclus (Commentary on Euclid's 'Elements' [c.452], p.161-2), quoted by Paolo Mancosu - Explanation in Mathematics §5
     A reaction: A very nice example. It is hard to imagine how one might demonstrate the cause of the angles making two right angles. If you walk, turn left x°, then turn left y°, then turn left z°, and x+y+z=180°, you end up going in the original direction.