46 ideas
| 7278 | Words of wisdom are precise and clear [Zhuangzi (Chuang Tzu)] |
| Full Idea: Words of wisdom are precise and clear. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: I can only approve of this. The issue of clarity is much discussed amongs philosophers, especially in the analytic v continental debate. Note, therefore, the additional requirement to be 'precise'. Should we be less clear in order to be precise? |
| 12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
| Full Idea: From Aristotle to Hegel, logic was the philosophical category of ontology's dominion over language. The mathematization of logic has authorized language to become that which seizes philosophy for itself. | |
| From: Alain Badiou (Briefings on Existence [1998], 8) |
| 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? |
| 7281 | Don't even start, let's just stay put [Zhuangzi (Chuang Tzu)] |
| Full Idea: Don't even start, let's just stay put. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: What a remarkable proposal! He seems frightened to make an omelette, because he will have to break an egg, or he might burn himself. I can't relate to this idea, but it's existence must be noted, like other scepticisms. |
| 12318 | The female body, when taken in its entirety, is the Phallus itself [Badiou] |
| Full Idea: The female body, when taken in its entirety, is the Phallus itself. | |
| From: Alain Badiou (Briefings on Existence [1998]) | |
| A reaction: Too good to pass over, too crazy to file sensibly, too creepy to have been filed under humour, my candidate for the weirdest remark I have ever read in a serious philosopher, but no doubt if you read Lacan etc for long enough it looks deeply wise. |
| 12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou] |
| Full Idea: Philosophy has been released from, even relieved of, physics, cosmology, and politics, as well as many other things. It is important for it to be released from ontology per se. | |
| From: Alain Badiou (Briefings on Existence [1998], 3) | |
| A reaction: A startling proposal, for anyone who thought that ontology was First Philosophy. Badiou wants to hand ontology over to mathematicians, but I am unclear what remains for the philosophers to do. |
| 12324 | Consensus is the enemy of thought [Badiou] |
| Full Idea: Consensus is the enemy of thought. | |
| From: Alain Badiou (Briefings on Existence [1998], 2) | |
| A reaction: A nice slogan for bringing Enlightenment optimists to a halt. I am struck. Do I allow my own thinking to always be diverted towards something which might result in a consensus? Do I actually (horror!) prefer consensus to truth? |
| 7282 | Disagreement means you do not understand at all [Zhuangzi (Chuang Tzu)] |
| Full Idea: The sage encompasses everything, while ordinary people just argue about things. Disagreement means you do not understand at all. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: This is why democracy and western analytical philosophy come as a package. We can't assume that our government is always right, and we can't assume that a 'sage' has managed to encompass everything. Criticism is essential! |
| 7284 | If you beat me in argument, does that mean you are right? [Zhuangzi (Chuang Tzu)] |
| Full Idea: If you get the better of me in a disagreement, rather than me getting the better of you, does this mean that you are automatically right and I am automatically wrong? | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: Very nice. I don't, though, think that this invalidates the process of argument. What matters about such an exchange is the resulting reflection by the two parties. Only a fool thinks that he is right because he won, or wrong because he lost. |
| 12337 | There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou] |
| Full Idea: 'Transitivity' signifies that all of the elements of the set are also parts of the set. If you have α∈Β, you also have α⊆Β. This correlation of membership and inclusion gives a stability which is the sets' natural being. | |
| From: Alain Badiou (Briefings on Existence [1998], 11) |
| 12321 | The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou] |
| Full Idea: The axiom of choice actually amounts to admitting an absolutely indeterminate infinite set whose existence is asserted albeit remaining linguistically indefinable. On the other hand, as a process, it is unconstructible. | |
| From: Alain Badiou (Briefings on Existence [1998], 2) | |
| A reaction: If only constructible sets are admitted (see 'V = L') then there is a contradiction. |
| 12342 | Topos theory explains the plurality of possible logics [Badiou] |
| Full Idea: Topos theory explains the plurality of possible logics. | |
| From: Alain Badiou (Briefings on Existence [1998], 14) | |
| A reaction: This will because logic will have a distinct theory within each 'topos'. |
| 12341 | Logic is a mathematical account of a universe of relations [Badiou] |
| Full Idea: Logic should first and foremost be a mathematical thought of what a universe of relations is. | |
| From: Alain Badiou (Briefings on Existence [1998], 14) |
| 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. |
| 12335 | Numbers are for measuring and for calculating (and the two must be consistent) [Badiou] |
| Full Idea: Number is an instance of measuring (distinguishing the more from the less, and calibrating data), ..and a figure for calculating (one counts with numbers), ..and it ought to be a figure of consistency (the compatibility of order and calculation). | |
| From: Alain Badiou (Briefings on Existence [1998], 11) |
| 12334 | There is no single unified definition of number [Badiou] |
| Full Idea: Apparently - and this is quite unlike old Greek times - there is no single unified definition of number. | |
| From: Alain Badiou (Briefings on Existence [1998], 11) |
| 12333 | Each type of number has its own characteristic procedure of introduction [Badiou] |
| Full Idea: There is a heterogeneity of introductory procedures of different classical number types: axiomatic for natural numbers, structural for ordinals, algebraic for negative and rational numbers, topological for reals, mainly geometric for complex numbers. | |
| From: Alain Badiou (Briefings on Existence [1998], 11) |
| 12322 | Must we accept numbers as existing when they no longer consist of units? [Badiou] |
| Full Idea: Do we have to confer existence on numbers whose principle is to no longer consist of units? | |
| From: Alain Badiou (Briefings on Existence [1998], 2) | |
| A reaction: This very nicely expresses what seems to me perhaps the most important question in the philosophy of mathematics. I am reluctant to accept such 'unitless' numbers, but I then feel hopelessly old-fashioned and naïve. What to do? |
| 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. |
| 12327 | The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory [Badiou] |
| Full Idea: As we have known since Paul Cohen's theorem, the Continuum Hypothesis is intrinsically undecidable. Many believe Cohen's discovery has driven the set-theoretic project into ruin, or 'pluralized' what was once presented as a unified construct. | |
| From: Alain Badiou (Briefings on Existence [1998], 6) | |
| A reaction: Badiou thinks the theorem completes set theory, by (roughly) finalising its map. |
| 12329 | If mathematics is a logic of the possible, then questions of existence are not intrinsic to it [Badiou] |
| Full Idea: If mathematics is a logic of the possible, then questions of existence are not intrinsic to it (as they are for the Platonist). | |
| From: Alain Badiou (Briefings on Existence [1998], 7) | |
| A reaction: See also Idea 12328. I file this to connect it with Hellman's modal (and nominalist) version of structuralism. Could it be that mathematics and modal logic are identical? |
| 12328 | Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou] |
| Full Idea: A Platonist's interest focuses on axioms in which the decision of thought is played out, where an Aristotelian or Leibnizian interest focuses on definitions laying out the representation of possibilities (...and the essence of mathematics is logic). | |
| From: Alain Badiou (Briefings on Existence [1998], 7) | |
| A reaction: See Idea 12323 for the significance of the Platonist approach. So logicism is an Aristotelian project? Frege is not a true platonist? I like the notion of 'the representation of possibilities', so will vote for the Aristotelians, against Badiou. |
| 12331 | Logic is definitional, but real mathematics is axiomatic [Badiou] |
| Full Idea: Logic is definitional, whereas real mathematics is axiomatic. | |
| From: Alain Badiou (Briefings on Existence [1998], 10) |
| 12340 | There is no Being as a whole, because there is no set of all sets [Badiou] |
| Full Idea: The fundamental theorem that 'there does not exist a set of all sets' designates the inexistence of Being as a whole. ...A crucial consequence of this property is that any ontological investigation is irremediably local. | |
| From: Alain Badiou (Briefings on Existence [1998], 14) | |
| A reaction: The second thought pushes Badiou into Topos Theory, where the real numbers (for example) have a separate theory in each 'topos'. |
| 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. |
| 12323 | Existence is Being itself, but only as our thought decides it [Badiou] |
| Full Idea: Existence is precisely Being itself in as much as thought decides it. And that decision orients thought essentially. ...It is when you decide upon what exists that you bind your thought to Being. | |
| From: Alain Badiou (Briefings on Existence [1998], 2) | |
| A reaction: [2nd half p.57] Helpful for us non-Heideggerians to see what is going on. Does this mean that Being is Kant's noumenon? |
| 12332 | The modern view of Being comes when we reject numbers as merely successions of One [Badiou] |
| Full Idea: The saturation and collapse of the Euclidean idea of the being of number as One's procession signs the entry of the thought of Being into modern times. | |
| From: Alain Badiou (Briefings on Existence [1998], 11) | |
| A reaction: That is, by allowing that not all numbers are built of units, numbers expand widely enough to embrace everything we think of as Being. The landmark event is the acceptance of the infinite as a number. |
| 12326 | The primitive name of Being is the empty set; in a sense, only the empty set 'is' [Badiou] |
| Full Idea: In Set Theory, the primitive name of Being is the void, the empty set. The whole hierarchy takes root in it. In a certain sense, it alone 'is'. | |
| From: Alain Badiou (Briefings on Existence [1998], 6) | |
| A reaction: This is the key to Badiou's view that ontology is mathematics. David Lewis pursued interesting enquiries in this area. |
| 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. |
| 12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
| Full Idea: Enlightened by the Cantorian grounding of mathematics, we can assert ontology to be nothing other than mathematics itself. This has been the case ever since its Greek origin. | |
| From: Alain Badiou (Briefings on Existence [1998], 1) | |
| A reaction: There seems to be quite a strong feeling among mathematicians that new 'realms of being' are emerging from their researches. Only a Platonist, of course, is likely to find this idea sympathetic. |
| 7289 | Do not try to do things, or to master knowledge; just be empty [Zhuangzi (Chuang Tzu)] |
| Full Idea: Do not try to do things. Do not try to master knowledge. ...Just be empty. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.7) | |
| A reaction: Stands as a nice challenge to the assumption that knowledge is a good thing. Aristotle's views make a nice contrast (Ideas 548 and 549). Personally I totally agree with Aristotle, and with the western tradition. |
| 23403 | You know you were dreaming when you wake, but there might then be a greater awakening from that [Zhuangzi (Chuang Tzu)] |
| Full Idea: Often after waking do you know that your dream was a dream. Still, there may be an even greater awakening after which you will know that this, too, was just a greater dream. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], 02), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 9.2 | |
| A reaction: This is the key to the full horror of dream scepticism (as dramatised in the film 'The Matrix'). We can never know whether there is yet another awakening about to occur. |
| 7285 | Did Chuang Tzu dream he was a butterfly, or a butterfly dream he was Chuang Tzu? [Zhuangzi (Chuang Tzu)] |
| Full Idea: Once I, Chuang Tzu, dreamt that I was a butterfly, flitting around and enjoying myself. Suddenly I woke and was Chuang Tzu again. But had I been Chuang Tzu dreaming I was a butterfly, or a butterfly dreaming I was now Chuang Tzu? | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: Plato (Idea 2047) also spotted this problem, later made famous by Descartes (Idea 2250). Given the size of a butterfly's brain, this suggests that Chuang Tzu was a dualist. What can't I take the idea seriously, when reason says I should? |
| 7277 | The perfect man has no self [Zhuangzi (Chuang Tzu)] |
| Full Idea: As the saying goes, 'The perfect man has no self' | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.1) | |
| A reaction: This seems to be quoted with approval. This is interesting because it implies that lesser beings do have a self, and that having a self is a moral issue, and one which can be controlled. One could, I suppose, concentrate on externals. |
| 7286 | To see with true clarity, your self must be irrelevant [Zhuangzi (Chuang Tzu)] |
| Full Idea: When a man discerns his own self as irrelevant, he sees with true clarity. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.6) | |
| A reaction: Seeing 'with clarity' is only one of the ways of seeing, and one mustn't unquestioningly assume that it is the best. Wisdom should contemplate vision with and without the self, and then rise higher and compare the two views. Compare Parfit (Idea 5518). |
| 7279 | If words can't be defined, they may just be the chirruping of chicks [Zhuangzi (Chuang Tzu)] |
| Full Idea: Our words are not just hot air. Words work because they are something, but the problem is that, if we cannot define a word's meaning, it doesn't really say anything. Can we make a case for it being anything different from the chirruping of chicks? | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: This obviously points us towards Quine's challenge to analyticity, and hence the value of definitions (Ideas 1622 and 1624). Even for Chuang Tzu, it seems naïve to think that you cannot use a word well if you cannot define it. |
| 23404 | Words are for meaning, and once you have that you can forget the words [Zhuangzi (Chuang Tzu)] |
| Full Idea: Words are for meaning: when you've gotten the meaning, you can forget the words. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], 26), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 9.VI | |
| A reaction: 'What exactly did this person say?' 'Don't know, but I've given you the accurate gist'. This is such an obvious phenomenon that I amazed by modern philosophers who deny propositions, or deny meaning entirely. |
| 12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
| Full Idea: There can be nothing intermediate to an assertion and a denial. We must either assert or deny any single predicate of any single subject. | |
| From: Alain Badiou (Briefings on Existence [1998], 1011b24) | |
| A reaction: The first sentence seems to be bivalence, and the second sentence excluded middle. |
| 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? |
| 7283 | Great courage is not violent [Zhuangzi (Chuang Tzu)] |
| Full Idea: Great courage is not violent. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: A very nice remark. This, I think, is what the Greeks were struggling to say about courage, but they never quite pinned it down as Chuang Tzu does. |
| 12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
| Full Idea: For the philosophers of the Enlightenment politics is strictly the affair of humankind, an immanent practice from which recourse to the All Mighty's providential organization had to be discarded. | |
| From: Alain Badiou (Briefings on Existence [1998], Prol) |
| 7280 | As all life is one, what need is there for words? [Zhuangzi (Chuang Tzu)] |
| Full Idea: As all life is one, what need is there for words? | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.2) | |
| A reaction: In a sense this is nonsense, but it has an appeal. I presume that God would not need words, any more than he would need arithmetic. Life is obviously a complex one, with parts which can be discussed. |
| 7288 | Go with the flow, and be one with the void of Heaven [Zhuangzi (Chuang Tzu)] |
| Full Idea: Don't struggle, go with the flow, and you will find yourself at one with the vastness of the void of Heaven. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.6) | |
| A reaction: Ugh. I've got all eternity to do that. The underlying assumption of Taoism seems to be that it is better not to have been born, and if you are thus unfortunate, you should try to pretend that it never happened. Much too negative for my taste. |
| 7287 | Fish forget about each other in the pond and forget each other in the Tao [Zhuangzi (Chuang Tzu)] |
| Full Idea: Fish forget about each other in the pond and forget each other in the Tao. | |
| From: Zhuangzi (Chuang Tzu) (The Book of Chuang Tzu [c.329 BCE], Ch.6) | |
| A reaction: Strikingly different from Christianity. No wonder Europeans used to describe orientals as 'enigmatic'; the faces of Taoists presumably express indifference. Not for me, I'm afraid. I identify with my fellow humans, because of our shared predicaments. |
| 12317 | The God of religion results from an encounter, not from a proof [Badiou] |
| Full Idea: The God of metaphysics makes sense of existing according to a proof, while the God of religion makes sense of living according to an encounter | |
| From: Alain Badiou (Briefings on Existence [1998], Prol) |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |
| Full Idea: The Egyptians were the first to claim that the soul of a human being is immortal, and that each time the body dies the soul enters another creature just as it is being born. | |
| From: Herodotus (The Histories [c.435 BCE], 2.123.2) |