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Ideas for 'Mahaprajnaparamitashastra', 'Grundlagen der Arithmetik (Foundations)' and 'Why Medieval Philosophy Matters'

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4 ideas

14. Science / A. Basis of Science / 3. Experiment
Experiments don't just observe; they look to see what interventions change the natural order [Boulter]
     Full Idea: Experiments differ from observational studies in that experiments usually involve intervening in some way in the natural order to see if altering something about that order causes a change in the response of that order.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 2)
     A reaction: Not convinced by this. Lots of experiments isolate a natural process, rather than 'intervening'. Chemists constantly purify substances. Particle accelerators pick out things to accelerate. Does 'intervening' in nature even make sense?
14. Science / B. Scientific Theories / 1. Scientific Theory
Science begins with sufficient reason, de-animation, and the importance of nature [Boulter]
     Full Idea: Three assumptions needed for the emergence of science are central to medieval thought: that the natural order is subject to the principle of sufficient reason, that nature is de-animated, and that it is worthy of study.
     From: Stephen Boulter (Why Medieval Philosophy Matters [2019], 2)
     A reaction: A very illuminating and convincing observation. Why did Europe produce major science? The answer is likely to be found in Christianity.
14. Science / C. Induction / 1. Induction
Induction is merely psychological, with a principle that it can actually establish laws [Frege]
     Full Idea: Induction depends on the general proposition that the inductive method can establish the truth of a law, or the probability for it. If we deny this, induction becomes nothing more than a psychological phenomenon.
     From: Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §03 n)
     A reaction: The problem is that we can't seem to 'establish' the requisite proposition, even for probability, since probability is in part subjective. I think induction needs the premiss that nature has underlying uniformity, which we then tease out by observation.
In science one observation can create high probability, while a thousand might prove nothing [Frege]
     Full Idea: The procedure of the sciences, with its objective standards, will at times find a high probability established by a single confirmatory instance, while at others it will dismiss a thousand as almost worthless.
     From: Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §10)
     A reaction: This thought is presumably what pushes theorists away from traditional induction and towards Bayes's Theorem (Idea 2798). The remark is a great difficulty for anyone trying to defend traditional induction.