3 ideas
21681 | Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell] |
Full Idea: Given all true atomic propositions, together with the fact that they are all, every other true proposition can theoretically be deduced by logical methods. | |
From: Bertrand Russell (Intro to 2nd ed of Principia Mathematica [1925], p.xv) | |
A reaction: This is evidently his strongest statement of the ideal underlying logical atomism. The atoms were initially sense-date, but then became atomic propositions saying an object has a property. |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
19399 | Prime matter is nothing when it is at rest [Leibniz] |
Full Idea: Primary matter is nothing if considered at rest. | |
From: Gottfried Leibniz (Aristotle and Descartes on Matter [1671], p.90) | |
A reaction: This goes with Leibniz's Idea 13393, that activity is the hallmark of existence. No one seems to have been able to make good sense of prime matter, and it plays little role in Aristotle's writings. |