10 ideas
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| Full Idea: Philosophy's role consists in informing mathematics of its own speculative grandeur. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.11) | |
| A reaction: Revealing the grandeur of something sounds more like a rhetorical than a rational exercise. How would you reveal the grandeur of a sunset to someone? |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| Full Idea: Only in mathematics can one unequivocally maintain that if thought can formulate a problem, it can and will solve it, regardless of how long it takes. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.17) | |
| A reaction: I hope this includes proving the Continuum Hypothesis, and Goldbach's Conjecture. It doesn't seem quite true, but it shows why philosophers of a rationalist persuasion are drawn to mathematics. |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| Full Idea: Mathematics teaches us that there is no reason whatsoever to confne thinking within the ambit of finitude. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.19) | |
| A reaction: This would perhaps make Cantor the greatest thinker who ever lived. It is an exhilarating idea, but we should ward the reader against romping of into unrestrained philosophical thought about infinities. You may be jumping without your Cantorian parachute. |
| 9809 | Mathematics inscribes being as such [Badiou] |
| Full Idea: Mathematics inscribes being as such. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.12) | |
| A reaction: I don't pretend to understand that, but there is something about the purity and certainty of mathematics that makes us feel we are grappling with the core of existence. Perhaps. The same might be said of stubbing your toe on a bedpost. |
| 9811 | It is of the essence of being to appear [Badiou] |
| Full Idea: It is of the essence of being to appear. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.16) | |
| A reaction: Nice slogan. In my humble opinion 'continental' philosophy is well worth reading because, despite the fluffy rhetoric and the shameless egotism and the desire to shock the bourgeoisie, they occasionally make wonderfully thought-provoking remarks. |
| 6383 | Cause unites our picture of the universe; without it, mental and physical will separate [Davidson] |
| Full Idea: The concept of cause is what holds together our picture of the universe, a picture that would otherwise disintegrate into a diptych of the mental and the physical. | |
| From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xi) | |
| A reaction: Davidson seems to be the one who put mental causation at the centre of philosophy. By then denying that there are any 'psycho-physical' laws, he seems to me to have re-opened the metaphysical gap he says he was trying to close. |
| 6385 | The causally strongest reason may not be the reason the actor judges to be best [Davidson] |
| Full Idea: I defend my causal view of action by arguing that a reason that is causally strongest need not be a reason deemed by the actor to provide the strongest (best) grounds for acting. | |
| From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xii) | |
| A reaction: If I smoke a cigarette against my better judgement, it is not clear to me how the desire to smoke it, which overcomes my judgement not to smoke it, counts as the causally strongest 'reason'. We seem to have two different senses of 'reason' here. |
| 6384 | The notion of cause is essential to acting for reasons, intentions, agency, akrasia, and free will [Davidson] |
| Full Idea: My thesis is that the ordinary notion of cause is essential to understanding what it is to act with a reason, to have an intention to act, to be an agent, to act counter to one's own best judgement, or to act freely. | |
| From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xi) | |
| A reaction: I cautiously agree, particularly with idea that causation is essential to acting as an agent. Since I believe 'free will' to be a complete delusion, that part of his thesis doesn't interest me. The hard part is understanding acting for a reason. |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
| Full Idea: Like every great poet, Mallarmé was engaged in a tacit rivalry with mathematics. | |
| From: Alain Badiou (Mathematics and Philosophy: grand and little [2004], p.20) | |
| A reaction: I love these French pronouncements! Would Mallarmé have agreed? If poetry and mathematics are the poles, where is philosophy to be found? |
| 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? |