Combining Texts

All the ideas for 'Saundaranandakavya', 'Gentzen's Analysis of First-Order Proofs' and 'The Rationality of Science'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Pursue truth with the urgency of someone whose clothes are on fire [Ashvaghosha]
     Full Idea: As though your turban or your clothes were on fire, so with a sense of urgency should you apply your intellect to the comprehension of the truths.
     From: Ashvaghosha (Saundaranandakavya [c.50], XVI)
     A reaction: The best philosophers need no such urging. I retain a romantic view that we should be 'natural' in these things. See Plato's views in Idea 2153 and 1638. However, maybe I should be confronted with this quotation every morning when I awake.
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
We do not wish merely to predict, we also want to explain [Newton-Smith]
     Full Idea: We do not wish merely to predict, we also want to explain.
     From: W.H. Newton-Smith (The Rationality of Science [1981], II.3)
The real problem of science is how to choose between possible explanations [Newton-Smith]
     Full Idea: Once we move beyond investigating correlations between observables the question of what does or should guide our choice between alternative explanatory accounts becomes problematic.
     From: W.H. Newton-Smith (The Rationality of Science [1981], IX.2)
For science to be rational, we must explain scientific change rationally [Newton-Smith]
     Full Idea: We are only justified in regarding scientific practice as the very paradigm of rationality if we can justify the claim that scientific change is rationally explicable.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.2)
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Critics attack positivist division between theory and observation [Newton-Smith]
     Full Idea: The critics of positivism attacked the conception of a dichotomy between theory and observation.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.4)
Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith]
     Full Idea: For positivists it was taken that while theory change meant change in the meaning of theoretical terms, the meaning of observational terms was invariant under theory change.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.4)
3. Truth / A. Truth Problems / 6. Verisimilitude
More truthful theories have greater predictive power [Newton-Smith]
     Full Idea: If a theory is a better approximation to the truth, then it is likely that it will have greater predictive power.
     From: W.H. Newton-Smith (The Rationality of Science [1981], VIII.8)
Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith]
     Full Idea: We cannot explicate a useful notion of verisimilitude in terms of the number of truths and the number of falsehoods generated by a theory, because they are infinite.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.4)
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is based on transitions between sentences [Prawitz]
     Full Idea: I agree entirely with Dummett that the right way to answer the question 'what is logic?' is to consider transitions between sentences.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], §04)
     A reaction: I always protest at this point that reliance on sentences is speciesism against animals, who are thereby debarred from reasoning. See the wonderful Idea 1875 of Chrysippus. Hacking's basic suggestion seems right. Transition between thoughts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
     Full Idea: With Gentzen's natural deduction, we may say that the introductions represent, as it were, the 'definitions' of the logical constants. The introductions are not literally understood as 'definitions'.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 2.2.2)
     A reaction: [Hacking, in 'What is Logic? §9' says Gentzen had the idea that his rules actually define the constants; not sure if Prawitz and Hacking are disagreeing]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
     Full Idea: In Gentzen's natural deduction, the inferences are broken down into atomic steps in such a way that each step involves only one logical constant. The steps are the introduction or elimination of the logical constants.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 1.1)
10. Modality / C. Sources of Modality / 1. Sources of Necessity
De re necessity arises from the way the world is [Newton-Smith]
     Full Idea: A necessary truth is 'de re' if its necessity arises from the way the world is.
     From: W.H. Newton-Smith (The Rationality of Science [1981], VII.6)
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We must assess the truth of beliefs in identifying them [Newton-Smith]
     Full Idea: We cannot determine what someone's beliefs are independently of assessing to some extent the truth or falsity of the beliefs.
     From: W.H. Newton-Smith (The Rationality of Science [1981], X.4)
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith]
     Full Idea: The challenge of incommensurability can be met once it is realised that in comparing theories the notions of truth and reference are more important than that of meaning.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.6)
14. Science / A. Basis of Science / 1. Observation
A full understanding of 'yellow' involves some theory [Newton-Smith]
     Full Idea: A full grasp of the concept '…is yellow' involves coming to accept as true bits of theory; that is, generalisations involving the term 'yellow'.
     From: W.H. Newton-Smith (The Rationality of Science [1981], II.2)
14. Science / A. Basis of Science / 5. Anomalies
All theories contain anomalies, and so are falsified! [Newton-Smith]
     Full Idea: According to Feyerabend all theories are born falsified, because no theory has ever been totally free of anomalies.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith]
     Full Idea: When scientists observed the motion of Uranus, they did not give up on Newtonian mechanics. Instead they posited the existence of Neptune.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
Anomalies are judged against rival theories, and support for the current theory [Newton-Smith]
     Full Idea: Whether to reject an anomaly has to be decided on the basis of the availability of a rival theory, and on the basis of the positive evidence for the theory in question.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
14. Science / B. Scientific Theories / 1. Scientific Theory
Why should it matter whether or not a theory is scientific? [Newton-Smith]
     Full Idea: Why should it be so important to distinguish between theories that are scientific and those that are not?
     From: W.H. Newton-Smith (The Rationality of Science [1981], IV.3)
14. Science / B. Scientific Theories / 5. Commensurability
If theories are really incommensurable, we could believe them all [Newton-Smith]
     Full Idea: If theories are genuinely incommensurable why should I be faced with the problem of choosing between them? Why not believe them all?
     From: W.H. Newton-Smith (The Rationality of Science [1981], VII.1)
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Explaining an action is showing that it is rational [Newton-Smith]
     Full Idea: To explain an action as an action is to show that it is rational.
     From: W.H. Newton-Smith (The Rationality of Science [1981], X.2)
29. Religion / C. Spiritual Disciplines / 3. Buddhism
The Eightfold Path concerns morality, wisdom, and tranquillity [Ashvaghosha]
     Full Idea: The Eightfold Path has three steps concerning morality - right speech, right bodily action, and right livelihood; three of wisdom - right views, right intentions, and right effort; and two of tranquillity - right mindfulness and right concentration.
     From: Ashvaghosha (Saundaranandakavya [c.50], XVI)
     A reaction: Most of this translates quite comfortably into the aspirations of western philosophy. For example, 'right effort' sounds like Kant's claim that only a good will is truly good (Idea 3710). The Buddhist division is interesting for action theory.
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
At the end of a saint, he is not located in space, but just ceases to be disturbed [Ashvaghosha]
     Full Idea: When an accomplished saint comes to the end, he does not go anywhere down in the earth or up in the sky, nor into any of the directions of space, but because his defilements have become extinct he simply ceases to be disturbed.
     From: Ashvaghosha (Saundaranandakavya [c.50], XVI)
     A reaction: To 'cease to be disturbed' is the most attractive account of heaven I have encountered. It all sounds a bit dull though. I wonder, as usual, how they know all this stuff.