5 ideas
15663 | Adorno and Horkheimer subjected the Enlightenment to 'critical theory' analysis [Adorno/Horkheimer, by Finlayson] |
Full Idea: Adorno and Horkheimer's analysis of Enlightenment sets the agenda for the subsequent development of critical theory. | |
From: report of T Adorno / M Horkheimer (Dialectic of Enlightenment [1944]) by James Gordon Finlayson - Habermas Ch.1:07 |
12427 | All of mathematics is properties of the whole numbers [Kronecker] |
Full Idea: All the results of significant mathematical research must ultimately be expressible in the simple forms of properties of whole numbers. | |
From: Leopold Kronecker (works [1885], Vol 3/274), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 09.5 | |
A reaction: I've always liked Kronecker's line, but I'm beginning to realise that his use of the word 'number' is simply out-of-date. Natural numbers have a special status, but not sufficient to support this claim. |
10091 | God made the integers, all the rest is the work of man [Kronecker] |
Full Idea: God made the integers, all the rest is the work of man. | |
From: Leopold Kronecker (works [1885]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Intro | |
A reaction: This famous remark was first quoted in Kronecker's obituary. A response to Dedekind, it seems. See Idea 10090. Did he really mean that negative numbers were the work of God? We took a long time to spot them. |
20572 | De Sade said it was impossible to rationally argue against murder [Adorno/Horkheimer] |
Full Idea: De Sade trumpeted far and wide the impossibility of deriving from reason any fundamental argument against murder. | |
From: T Adorno / M Horkheimer (Dialectic of Enlightenment [1944], p.118) | |
A reaction: [They focus on 'Juliette'] This is a big problem for utilitarians, because murdering an unhappy person may maximise happiness. Presumably a maniac could will universal carnage, and thus thwart Kant. |
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. |