3 ideas
| 18192 | Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy] |
| Full Idea: For Boolos, the Replacement Axioms go beyond the iterative conception. | |
| From: report of George Boolos (The iterative conception of Set [1971]) by Penelope Maddy - Naturalism in Mathematics I.3 |
| 18284 | Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper] |
| Full Idea: Whereas particular reality statements are in principle completely verifiable or falsifiable, things are different for general reality statements: they can indeed be conclusively falsified, they can acquire a negative truth value, but not a positive one. | |
| From: Karl Popper (Two Problems of Epistemology [1932], p.256), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 18 'Laws' | |
| A reaction: This sounds like a logician's approach to science, but I prefer to look at coherence, where very little is actually conclusive, and one tinkers with the theory instead. |
| 18671 | The ground for an attitude is not a thing's 'goodness', but its concrete characteristics [Ewing] |
| Full Idea: The ground for an attitude lies not in some other ethical concept, goodness, but in the concrete, factual characteristics of what we pronounce good. ...We shall not be better off if we interpolate an indefinable characteristic of goodness besides. | |
| From: A.C. Ewing (The Definition of Good [1948], p.172), quoted by Francesco Orsi - Value Theory 1.4 | |
| A reaction: This is a forerunner of Scanlon's Buck-Passing theory of the source of value (in other properties). I approve of this approach. If I say 'actually this very strong cheese is really good', I'm not adding goodness to the cheese. |