21 ideas
3853 | 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) |
3859 | 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) |
3870 | 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) |
3855 | 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) |
3854 | 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) |
3869 | 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) |
3861 | 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) |
10051 | The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M] |
Full Idea: There is something profoundly unsatisfactory about the axiom of infinity. It cannot be described as a truth of logic in any reasonable use of that phrase, and so the introduction of it as a primitive proposition amounts to the abandonment of logicism. | |
From: W Kneale / M Kneale (The Development of Logic [1962], XI.2) | |
A reaction: It seems that the axiom is essentially empirical, and it certainly makes an existential claim which seems to me (intuitively) to have nothing to do with logic at all. |
17423 | The essence of natural numbers must reflect all the functions they perform [Sicha] |
Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform. | |
From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2) | |
A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'. |
17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed. | |
From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3) |
17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities. | |
From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2) |
3867 | 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) |
3872 | 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) |
3857 | 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) |
3858 | 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) |
3862 | 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) |
3863 | 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) |
3864 | 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) |
3865 | 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) |
3866 | 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) |
3871 | 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) |