5 ideas
22708 | Good reasons must give way to better [Shakespeare] |
Full Idea: Good reasons must of force give way to better. | |
From: William Shakespeare (Julius Caesar [1599], 4.3.205) | |
A reaction: [Brutus to Cassius] This remark is an axiom of rationality. But, of course, reasons can come in groups, and three modest reasons may compete with one very good reason. |
17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers. | |
From: Nicholas P. White (What Numbers Are [1974], V) |
17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege. | |
From: Nicholas P. White (What Numbers Are [1974], IV) | |
A reaction: [He adds Quine 1960:268 as a reference] |
20304 | The cause of my action is in my will [Shakespeare] |
Full Idea: The cause is in my will. I will not come./That is enough to satisfy the senate./But for your private satisfaction,/Because I love you, I will let you know. | |
From: William Shakespeare (Julius Caesar [1599], II.ii) | |
A reaction: This asserts the purest form of volitionism, but then qualifies it, because Caesar's will has been influenced by his wife's dreams. |
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? |