31 ideas
| 18290 | But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche] |
| Full Idea: There is more reason in your body than in your best wisdom. For who knows for what purpose your body requires precisely your best wisdom? | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.05) | |
| A reaction: Lovely question. For years I've paid lip-service to wisdom as the rough aim of all philosophy. Not quite knowing what wisdom is doesn't bother me, but knowing why I want wisdom certainly does, especially after this idea. |
| 18303 | Reject wisdom that lacks laughter [Nietzsche] |
| Full Idea: Let that wisdom be false to us that brought no laughter with it! | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 3.12.23) |
| 18305 | To love truth, you must know how to lie [Nietzsche] |
| Full Idea: Inability to lie is far from being love of truth. ....He who cannot lie does not know what truth is. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.13.9) |
| 17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
| Full Idea: One feature of the Axiom of Choice that troubled many mathematicians was the so-called Banach-Tarski paradox: using the Axiom, a sphere can be decomposed into finitely many parts and those parts reassembled into two spheres the same size as the original. | |
| From: Penelope Maddy (Defending the Axioms [2011], 1.3) | |
| A reaction: (The key is that the parts are non-measurable). To an outsider it is puzzling that the Axiom has been universally accepted, even though it produces such a result. Someone can explain that, I'm sure. |
| 17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
| Full Idea: If-thenism denies that mathematics is in the business of discovering truths about abstracta. ...[their opponents] obviously don't regard any starting point, even a consistent one, as equally worthy of investigation. | |
| From: Penelope Maddy (Defending the Axioms [2011], 3.3) | |
| A reaction: I have some sympathy with if-thenism, in that you can obviously study the implications of any 'if' you like, but deep down I agree with the critics. |
| 17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
| Full Idea: At the end of the nineteenth century there was a renewed emphasis on rigor, the central tool of which was axiomatization, along the lines of Hilbert's axioms for geometry and Dedekind's axioms for real numbers. | |
| From: Penelope Maddy (Defending the Axioms [2011], 1.3) |
| 17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
| Full Idea: The fact that two apparently fruitful mathematical themes turn out to coincide makes it all the more likely that they're tracking a genuine strain of mathematical depth. | |
| From: Penelope Maddy (Defending the Axioms [2011], 5.3ii) |
| 17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
| Full Idea: One form of the Continuum Hypothesis is the claim that every infinite set of reals is either countable or of the same size as the full set of reals. | |
| From: Penelope Maddy (Defending the Axioms [2011], 2.4 n40) |
| 17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
| Full Idea: Our set-theoretic methods track the underlying contours of mathematical depth. ...What sets are, most fundamentally, is markers for these contours ...they are maximally effective trackers of certain trains of mathematical fruitfulness. | |
| From: Penelope Maddy (Defending the Axioms [2011], 3.4) | |
| A reaction: This seems to make it more like a map of mathematics than the actual essence of mathematics. |
| 17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
| Full Idea: Ordinary perceptual cognition is most likely involved in our grasp of elementary arithmetic, but ...this connection to the physical world has long since been idealized away in the infinitary structures of contemporary pure mathematics. | |
| From: Penelope Maddy (Defending the Axioms [2011], 2.3) | |
| A reaction: Despite this, Maddy's quest is for a 'naturalistic' account of mathematics. She ends up defending 'objectivity' (and invoking Tyler Burge), rather than even modest realism. You can't 'idealise away' the counting of objects. I blame Cantor. |
| 20757 | The powerful self behind your thoughts and feelings is your body [Nietzsche] |
| Full Idea: Behind your thoughts and feelings stands a powerful commander, an unknown wise man - he is called a self. He lives in your body; he is your body. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], I.4), quoted by Kevin Aho - Existentialism: an introduction 5 'Creature' | |
| A reaction: I find Nietzsche's view of the self very congenial, though I tend to see the self as certain central functions of the brain. The brain is enmeshed in the body (as in the location of pains). |
| 18289 | Forget the word 'I'; 'I' is performed by the intelligence of your body [Nietzsche] |
| Full Idea: You say 'I' and you are proud of this word. But greater than this - although you will not believe in it - is your body and its great intelligence, which does not say 'I' but performs 'I'. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.05) | |
| A reaction: I'm not sure if I understand this, but I offer it as a candidate for the most profound idea ever articulated about personal identity. |
| 18299 | The will is constantly frustrated by the past [Nietzsche] |
| Full Idea: Powerless against that which has been done, the will is an angry spectator of all things past. The will cannot will backwards; that it cannot break time and time's desire - that is the will's most lonely affliction. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 2.20) |
| 4761 | The 'error theory' of morals says there is no moral knowledge, because there are no moral facts [Mackie, by Engel] |
| Full Idea: Mackie's 'error theory' of ethics says that if a fact is something that corresponds to a true proposition, there are actually no moral facts, hence no knowledge of what moral statements are about. | |
| From: report of J.L. Mackie (Ethics: Inventing Right and Wrong [1977]) by Pascal Engel - Truth §4.2 | |
| A reaction: Personally I am inclined to think that there are moral facts (about what nature shows us constitutes a good human being), based on virtue theory. Mackie is a good warning, though, against making excessive claims. You end up like a bad scientist. |
| 18297 | We created meanings, to maintain ourselves [Nietzsche] |
| Full Idea: Man first implanted values into things to maintain himself - he first created the meaning of things, a human meaning! | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.16) | |
| A reaction: It is certainly hard to see anything resembling values or meaning in the cosmos, if you remove the human beings. We should expect an evolutionary grounding in their explanation. |
| 18293 | The noble man wants new virtues; the good man preserves what is old [Nietzsche] |
| Full Idea: The noble man wants to create new things and a new virtue. The good man wants the old things and that the old things shall be preserved. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.09) | |
| A reaction: There is a limit to how many plausible virtues the noble men can come up with. We may already have run out. Are we going to have to re-run the Iliad? |
| 18301 | We only really love children and work [Nietzsche] |
| Full Idea: One loves from the very heart only one's child and one's work. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 3.03) | |
| A reaction: Very Nietzchean (and masculine?) to cite one's work. Rachmaninov said he was 85% musician and 15% human being, so I guess he loved music from the very heart. |
| 18307 | I want my work, not happiness! [Nietzsche] |
| Full Idea: Do I aspire after happiness? I aspire after my work! | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.20) | |
| A reaction: I empathise with aspiring to do something, rather than be something. But what do we wish for our children? Happiness first, then achievement? |
| 18291 | Virtues can destroy one another, through jealousy [Nietzsche] |
| Full Idea: Every virtue is jealous of the others, and jealousy is a terrible thing. Even virtues can be destroyed through jealousy. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.07) | |
| A reaction: How much more subtle and plausible than the picture of accumulating virtues, like medals! Zarathustra says it is best to have just one virtue. |
| 18287 | People now find both wealth and poverty too much of a burden [Nietzsche] |
| Full Idea: Nobody grows rich or poor any more: both are too much of a burden. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.01) | |
| A reaction: True. Most people I know are just puzzled by people who actually seem to want to be extremely wealthy. |
| 18295 | If you want friends, you must be a fighter [Nietzsche] |
| Full Idea: If you want a friend, you must be willing to wage war for him: and to wage war, you must be capable of being an enemy. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.15) |
| 18286 | The greatest experience possible is contempt for your own happiness, reason and virtue [Nietzsche] |
| Full Idea: What is the greatest thing you can experience? It is the hour of the great contempt. The hour in which even your happiness grows loathsome to you, and your reason and your virtue also. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.01) | |
| A reaction: This would be a transient state for Nietzsche, in which you realise the hollowness of those traditional ideas, and begin to seek something else. |
| 18296 | An enduring people needs its own individual values [Nietzsche] |
| Full Idea: No people could live without evaluating; but if it wishes to maintain itself it must not evaluate as its neighbour evaluates. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.16) | |
| A reaction: Political philosophers say plenty about a 'people', but little about what unifies them, or about what keeps one people distinct from another. Most people's are proud of their local values. |
| 18294 | The state coldly claims that it is the people, but that is a lie [Nietzsche] |
| Full Idea: The state is the coldest of all cold monsters. Coldly it lies, too; and this lie creeps from its mouth: 'I, the state, am the people'. It is a lie! | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.12) | |
| A reaction: This strikes me as just as true even after everyone gets the vote. Rulers can't help gradually forgetting about the people. |
| 18304 | Saints want to live as they desire, or not to live at all [Nietzsche] |
| Full Idea: 'To live as I desire to live or not to live at all': that is what I want, that is what the most saintly man wants. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.09) | |
| A reaction: [spoken by Zarathustra] |
| 18300 | Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche] |
| Full Idea: The spirit of revenge: my friends, that, up to now, has been mankind's chief concern; and where there was suffering, there was always supposed to be punishment. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 2.20) |
| 18302 | Man and woman are deeply strange to one another! [Nietzsche] |
| Full Idea: Who has fully conceived how strange man and woman are to one another! | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 3.10.2) |
| 18292 | I can only believe in a God who can dance [Nietzsche] |
| Full Idea: I should believe only in a God who understood how to dance. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.08) |
| 18298 | There can't be gods, because that leaves us nothing to create! [Nietzsche] |
| Full Idea: If there were gods, how could I endure not to be a god! Therefore there are no gods. ...For what would there be to create if gods - existed! | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 2.02) | |
| A reaction: [Zarathustra says this, not Nietzsche!] |
| 18288 | Heaven was invented by the sick and the dying [Nietzsche] |
| Full Idea: It was the sick and dying who despised the body and the earth and invented the things of heaven and the redeeming drops of blood. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.04) |
| 18306 | We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche] |
| Full Idea: We certainly do not want to enter into the kingdom of heaven: we have become men, so we want the kingdom of earth. | |
| From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.18.2) |