5 ideas
22519 | Philosophers are revealed by their fears [Billington] |
Full Idea: To understand any philosopher, ask 'What are they afraid of?'. | |
From: Ray Billington (talk [2010]) | |
A reaction: Yes! So... Plato - disorder. Aristotle - ignorance. Augustine - sin. Descartes - uncertainty. Spinoza - fragmentation. Leibniz - superficiality. Hume - speculation. Bentham - egotism. Kant - self-deception. Nietzsche - nihilism. Russell - imprecision. |
16901 | The equivalent algebra model of geometry loses some essential spatial meaning [Burge] |
Full Idea: Geometrical concepts appear to depend in some way on a spatial ability. Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of the propositions seems to me to be thereby lost. | |
From: Tyler Burge (Frege on Apriority (with ps) [2000], 4) | |
A reaction: I think this is a widely held view nowadays. Giaquinto has a book on it. A successful model of something can't replace it. Set theory can't replace arithmetic. |
16902 | Peano arithmetic requires grasping 0 as a primitive number [Burge] |
Full Idea: In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number. | |
From: Tyler Burge (Frege on Apriority (with ps) [2000], 5) | |
A reaction: Burge is pointing this out as a problem for Frege, for whom only the logic is primitive. |
16892 | Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge] |
Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations. | |
From: Tyler Burge (Frege on Apriority (with ps) [2000], 1) |
7482 | Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson] |
Full Idea: The idea of resurrection in Judaism seems to have first developed around 160 BCE, during the time of religious martyrdom, and as a response to it (the martyrs were surely not dying forever?). It is first mentioned in the book of Daniel. | |
From: report of Anon (Dan) (27: Book of Daniel [c.165 BCE], Ch.7) by Peter Watson - Ideas | |
A reaction: Idea 7473 suggests that Zoroaster beat them to it by 800 years. |