22 ideas
| 2922 | All intelligent Romans were Epicureans [Nietzsche] |
| Full Idea: Every mind of any account in the Roman Empire was an Epicurean. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 58) |
| 23520 | Truth has had to be fought for, and normal life must be sacrificed to achieve it [Nietzsche] |
| Full Idea: Truth has had to be fought for every step of the way, almost everything else dear to our hearts, on which our love and our trust in life depend, has had to be sacrificed to it. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 50) | |
| A reaction: This, in one of his final works, seems to contradict every idea that Nietzsche is the high priest of relativism about truth. He (and Foucault) and interested in the social role of truth, but are not so daft as to reject its possibility. |
| 2914 | One must never ask whether truth is useful [Nietzsche] |
| Full Idea: One must never ask whether truth is useful. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], Fore) |
| 13373 | Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G] |
| Full Idea: A natural principle is the same kind of paradox will have the same kind of solution. Standardly Ramsey's first group are solved by denying the existence of some totality, and the second group are less clear. But denial of the groups sink both. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §5) | |
| A reaction: [compressed] This sums up the argument of Priest's paper, which is that it is Ramsey's division into two kinds (see Idea 13334) which is preventing us from getting to grips with the paradoxes. Priest, notoriously, just lives with them. |
| 13368 | The 'least indefinable ordinal' is defined by that very phrase [Priest,G] |
| Full Idea: König: there are indefinable ordinals, and the least indefinable ordinal has just been defined in that very phrase. (Recall that something is definable iff there is a (non-indexical) noun-phrase that refers to it). | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3) | |
| A reaction: Priest makes great subsequent use of this one, but it feels like a card trick. 'Everything indefinable has now been defined' (by the subject of this sentence)? König, of course, does manage to pick out one particular object. |
| 13370 | 'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G] |
| Full Idea: Berry: if we take 'x is a natural number definable in less than 19 words', we can generate a number which is and is not one of these numbers. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3) | |
| A reaction: [not enough space to spell this one out in full] |
| 13369 | By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G] |
| Full Idea: Richard: φ(x) is 'x is a definable real number between 0 and 1' and ψ(x) is 'x is definable'. We can define a real by diagonalization so that it is not in x. It is and isn't in the set of reals. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3) | |
| A reaction: [this isn't fully clear here because it is compressed] |
| 13366 | The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G] |
| Full Idea: Burali-Forti: φ(x) is 'x is an ordinal', and so w is the set of all ordinals, On; δ(x) is the least ordinal greater than every member of x (abbreviation: log(x)). The contradiction is that log(On)∈On and log(On)∉On. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §2) |
| 13367 | The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G] |
| Full Idea: Mirimanoff: φ(x) is 'x is well founded', so that w is the cumulative hierarchy of sets, V; &delta(x) is just the power set of x, P(x). If x⊆V, then V∈V and V∉V, since δ(V) is just V itself. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §2) |
| 13371 | If you know that a sentence is not one of the known sentences, you know its truth [Priest,G] |
| Full Idea: In the family of the Liar is the Knower Paradox, where φ(x) is 'x is known to be true', and there is a set of known things, Kn. By knowing a sentence is not in the known sentences, you know its truth. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §4) | |
| A reaction: [mostly my wording] |
| 13372 | There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G] |
| Full Idea: There are liar chains which fit the pattern of Transcendence and Closure, as can be seen with the simplest case of the Liar Pair. | |
| From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §4) | |
| A reaction: [Priest gives full details] Priest's idea is that Closure is when a set is announced as complete, and Transcendence is when the set is forced to expand. He claims that the two keep coming into conflict. |
| 2921 | Philosophy grasps the limits of human reason, and values are beyond it [Nietzsche] |
| Full Idea: All the supreme problems of value are beyond human reason. …To grasp the limits of human reason, only this is philosophy. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 55) | |
| A reaction: The single most powerful idea in the writings of Nietzsche. Reason and truth are values. Why do we value philosophy? There is no escaping Nietzsche's question. |
| 20138 | Christianity is at war with the higher type of man, and excommunicates his basic instincts [Nietzsche] |
| Full Idea: Christianity has waged a war to the death against the higher type of man, it has excommunicated all the fundamental instincts of this type. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 05) | |
| A reaction: It seems rather insulting to say that the finest and most dedicated altruism practised by the most admirable Christians is the expression of a 'lower' instinct. |
| 20375 | Virtues must be highly personal; if not, it is merely respect for a concept [Nietzsche] |
| Full Idea: A virtue has to be our invention, our most personal defence and necessity: in any other sense it is merely a danger. What does not condition our life harms it: a virtue merely from a feeling of respect for the concept 'virtue', as Kant desires it, is harm | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], §11) | |
| A reaction: Presumably he sees virtue as the cutting edge of stiffling conventional morality. I'm a bit nervous about embracing highly personal virtues, partly because they might isolate me from my community. I ain't no übermensch. |
| 2915 | Each person should devise his own virtues and categorical imperative [Nietzsche] |
| Full Idea: Each one of us should devise his own virtue, his own categorical imperative. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 11) |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |
| 2920 | A God who cures us of a head cold at the right moment is a total absurdity [Nietzsche] |
| Full Idea: A God who cures a headcold for us at the right moment is so absurd a God he would have to be abolished even if he existed. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 52) |
| 2917 | Christianity is a revolt of things crawling on the ground against elevated things [Nietzsche] |
| Full Idea: Christianity is a revolt of everything which crawls along the ground against everything which is elevated. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 43) |
| 2918 | The story in Genesis is the story of God's fear of science [Nietzsche] |
| Full Idea: Has the famous story which stands at the beginning of the Bible really been understood - the story of God's mortal terror of science? | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 48) |
| 2919 | 'Faith' means not wanting to know what is true [Nietzsche] |
| Full Idea: 'Faith' means not wanting to know what is true. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 52) |
| 2916 | The great lie of immortality destroys rationality and natural instinct [Nietzsche] |
| Full Idea: The great lie of personal immortality destroys all rationality, all naturalness of instinct. | |
| From: Friedrich Nietzsche (The Anti-Christ [1889], 43) |