Combining Texts

All the ideas for 'The Rationality of Science', 'Persons, Character and Morality' and 'The Theory of Logical Types'

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25 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
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)
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)
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 / E. Structures of Logic / 5. Functions in Logic
'Propositional functions' are ambiguous until the variable is given a value [Russell]
     Full Idea: By a 'propositional function' I mean something which contains a variable x, and expresses a proposition as soon as a value is assigned to x. That is to say, it differs from a proposition solely by the fact that it is ambiguous.
     From: Bertrand Russell (The Theory of Logical Types [1910], p.216)
     A reaction: This is Frege's notion of a 'concept', as an assertion of a predicate which still lacks a subject.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
     Full Idea: Such a proposition as 'all the judgements made by Epimenedes are true' will only be prima facie capable of truth if all his judgements are of the same order.
     From: Bertrand Russell (The Theory of Logical Types [1910], p.227)
     A reaction: This is an attempt to use his theory of types to solve the Liar. Tarski's invocation of a meta-language is clearly in the same territory.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
     Full Idea: Russell's theory of types meant that features common to different levels of the hierarchy became uncapturable (since any attempt to capture them would involve a predicate which disobeyed the hierarchy restrictions).
     From: comment on Bertrand Russell (The Theory of Logical Types [1910]) by Michael Morris - Guidebook to Wittgenstein's Tractatus 2H
     A reaction: I'm not clear whether this is the main reason why type theory was abandoned. Ramsey was an important critic.
Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
     Full Idea: In Russell's mature 1910 theory of types classes are defined in terms of propositional functions, and functions themselves are regimented by a ramified theory of types mitigated by the axiom of reducibility.
     From: report of Bertrand Russell (The Theory of Logical Types [1910]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.133
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
     Full Idea: We will define a function of one variable as 'predicative' when it is of the next order above that of its arguments, i.e. of the lowest order compatible with its having an argument.
     From: Bertrand Russell (The Theory of Logical Types [1910], p.237)
     A reaction: 'Predicative' just means it produces a set. This is Russell's strict restriction on which functions are predicative.
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)
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It is important that a person can change their character, and not just be successive 'selves' [Williams,B]
     Full Idea: I want to emphasise the basic importance of the ordinary idea of a self or person which undergoes changes of character, as opposed to dissolving a changing person into a series of 'selves'.
     From: Bernard Williams (Persons, Character and Morality [1976], II)
     A reaction: [compressed] He mentions Derek Parfit for the rival view. Williams has the Aristotelian view, that a person has an essential nature, which endures through change, and explains that change. But that needs some non-essential character traits.
Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]
     Full Idea: The Kantians' omission of character is a condition of their ultimate insistence on the demands of impartial morality, just as it is a reason to find inadequate their account of the individual.
     From: Bernard Williams (Persons, Character and Morality [1976], II)
     A reaction: This is also why the Kantian account of virtue is inadequate, in comparison with the Aristotelian view.
23. Ethics / E. Utilitarianism / 1. Utilitarianism
For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]
     Full Idea: The basic bearer of value for Utilitarianism is the state of affairs, and hence, when the relevant causal differences have been allowed for, it cannot make any further difference who produces a given state of affairs.
     From: Bernard Williams (Persons, Character and Morality [1976], I)
     A reaction: Which is morally better, that I water your bed of flowers, or that it rains? Which is morally better, that I water them from love, or because you threaten me with a whip?