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All the ideas for 'Thinking About Mathematics', 'Rationality and Goodness' and 'Unpublished Notebooks 1881-82'

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56 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
Seeing with other eyes is more egoism, but exploring other perspectives leads to objectivity [Nietzsche]
     Full Idea: Wanting to know things as they are - that alone is the good inclination: not seeing ..with other eyes; that would be merely a change of place of egoistic seeing. …Practise at seeing with other eyes, and without human relationships, hence objectively!
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 11[013])
     A reaction: That Nietzsche thinks we should try to see things objectively will come as a bit of a shock to those who have him catalogued among the relativists. It's clear from other writings that he thinks (rightly) that perfect objectivity is unattainable.
3. Truth / A. Truth Problems / 3. Value of Truth
I tell the truth, even if it is repulsive [Nietzsche]
     Full Idea: As a man I tell the truth, even the repulsive ones.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 12[86])
     A reaction: I wonder if even Nietzsche had his limits. He is quite coy about sexual matters, for example, before Freud and various sexual revolutions. To ruthlessly tell difficult truths strikes me as a scientific approach to the world.
The pain in truth is when it destroys a belief [Nietzsche]
     Full Idea: The truth hurts because it destroys a belief: not in itself.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 9[48])
     A reaction: There are hideous events, about which it can be dreadful to learn the truth, but the unpleasantness is in the fact, not in the truth of the fact. So, yes.
3. Truth / A. Truth Problems / 8. Subjective Truth
We don't create logic, time and space! The mind obeys laws because they are true [Nietzsche]
     Full Idea: That which is logical, time, space would have to be produced by us: nonsense! When the mind obeys its own laws, this because they are actually true, true in themselves! …An error with respect to these truths avenges itself.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[023])
     A reaction: So much for those who see Nietzsche as the embodiment of relativism. This is Nietzsche standing up to what I increasingly see as the pernicious influence of Kant. I agree with Nietzsche. Relations with the world keep our logic honest.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
     Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
     Full Idea: It is surely wise to identify the positions in the natural numbers structure with their counterparts in the integer, rational, real and complex number structures.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: The point is that this might be denied, since 3, 3/1, 3.00.., and -3*i^2 are all arrived at by different methods of construction. Natural 3 has a predecessor, but real 3 doesn't. I agree, intuitively, with Shapiro. Russell (1919) disagreed.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
     Full Idea: A sequence a1,a2,... of rational numbers is 'Cauchy' if for each rational number ε>0 there is a natural number N such that for all natural numbers m, n, if m>N and n>N then -ε < am - an < ε.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.2 n4)
     A reaction: The sequence is 'Cauchy' if N exists.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
     Full Idea: There is a dedicated contingent who hold that the category of 'categories' is the proper foundation for mathematics.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.3 n7)
     A reaction: He cites Lawvere (1966) and McLarty (1993), the latter presenting the view as a form of structuralism. I would say that the concept of a category will need further explication, and probably reduce to either sets or relations or properties.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
     Full Idea: Zermelo said that for each number n, its successor is the singleton of n, so 3 is {{{null}}}, and 1 is not a member of 3. Von Neumann said each number n is the set of numbers less than n, so 3 is {null,{null},{null,{null}}}, and 1 is a member of 3.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: See Idea 645 - Zermelo could save Plato from the criticisms of Aristotle! These two accounts are cited by opponents of the set-theoretical account of numbers, because it seems impossible to arbitrate between them.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
     Full Idea: The structuralist vigorously rejects any sort of ontological independence among the natural numbers; the essence of a natural number is its relations to other natural numbers.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: This seems to place the emphasis on ordinals (what order?) rather than on cardinality (how many?). I am strongly inclined to think that this is the correct view, though you can't really have relations if there is nothing to relate.
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
     Full Idea: A 'system' is a collection of objects with certain relations among them; a 'pattern' or 'structure' is the abstract form of a system, highlighting the interrelationships and ignoring any features they do not affect how they relate to other objects.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: Note that 'ignoring' features is a psychological account of abstraction, which (thanks to Frege and Geach) is supposed to be taboo - but which I suspect is actually indispensable in any proper account of thought and concepts.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
     Full Idea: The thesis that principles of arithmetic are derivable from the laws of logic runs against a now common view that logic itself has no ontology. There are no particular logical objects. From this perspective logicism is a non-starter.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 5.1)
     A reaction: This criticism strikes me as utterly devastating. There are two routes to go: prove that logic does have an ontology of objects (what would they be?), or - better - deny that arithmetic contains any 'objects'. Or give up logicism.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
     Full Idea: Term Formalism is the view that mathematics is just about characters or symbols - the systems of numerals and other linguistic forms. ...This will cover integers and rational numbers, but what are real numbers supposed to be, if they lack names?
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.1)
     A reaction: Real numbers (such as pi and root-2) have infinite decimal expansions, so we can start naming those. We could also start giving names like 'Harry' to other reals, though it might take a while. OK, I give up.
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
     Full Idea: Game Formalism likens mathematics to chess, where the 'content' of mathematics is exhausted by the rules of operating with its language. ...This, however, leaves the problem of why the mathematical games are so useful to the sciences.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.2)
     A reaction: This thought pushes us towards structuralism. It could still be a game, but one we learned from observing nature, which plays its own games. Chess is, after all, modelled on warfare.
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
     Full Idea: The Deductivist version of formalism (sometimes called 'if-thenism') says that the practice of mathematics consists of determining logical consequences of otherwise uninterpreted axioms.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.2)
     A reaction: [Hilbert is the source] More plausible than Term or Game Formalism (qv). It still leaves the question of why it seems applicable to nature, and why those particular axioms might be chosen. In some sense, though, it is obviously right.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
     Full Idea: Critics commonly complain that the intuitionist restrictions cripple the mathematician. On the other hand, intuitionist mathematics allows for many potentially important distinctions not available in classical mathematics, and is often more subtle.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.1)
     A reaction: The main way in which it cripples is its restriction on talk of infinity ('Cantor's heaven'), which was resented by Hilbert. Since high-level infinities are interesting, it would be odd if we were not allowed to discuss them.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
     Full Idea: I classify conceptualists according to what they say about properties or concepts. If someone classified properties as existing independent of language I would classify her as a realist in ontology of mathematics. Or they may be idealists or nominalists.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 2.2.1)
     A reaction: In other words, Shapiro wants to eliminate 'conceptualist' as a useful label in philosophy of mathematics. He's probably right. All thought involves concepts, but that doesn't produce a conceptualist theory of, say, football.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
     Full Idea: A definition of a mathematical entity is 'impredicative' if it refers to a collection that contains the defined entity. The definition of 'least upper bound' is impredicative as it refers to upper bounds and characterizes a member of this set.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: The big question is whether mathematics can live with impredicative definitions, or whether they threaten to be viciously circular, and undermine the whole enterprise.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
To think about being we must have an opinion about what it is [Nietzsche]
     Full Idea: We are in the process of figuring out the being of things: consequently we must already have an opinion as to what being is. This can be an error! E.g., I.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 9[41])
     A reaction: The point of 'I' is that we unquestioningly think the self is a given aspect of being, as in Descartes.
9. Objects / D. Essence of Objects / 1. Essences of Objects
Essences are fictions needed for beings who represent things [Nietzsche]
     Full Idea: The true essence of things is a fiction of representing being, without which being is unable to represent. 11[330] Thinking must assert substance and identity because a knowing of complete flux is impossible.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 11[329])
     A reaction: I have defended (in my PhD) the thesis that the concept of essence is required for explanation. Do animals need the concept of essence in order to represent? I think people and animals ascribe essential natures to most things.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
There is no proof that we forget things - only that we can't recall [Nietzsche]
     Full Idea: That forgetting exists has never yet been demonstrated, but only that many things do not occur to us when we want them to.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 12[1]123)
     A reaction: There is now quite a lot of evidence that there innumerable memories buried in that mind that we seem unable to directly recall. He is right that we can hardly demonstrate this negative fact.
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Our inclinations would not conflict if we were a unity; we imagine unity for our multiplicity [Nietzsche]
     Full Idea: How is it that we satisfy our stronger inclinations at the expense of our weaker inclinations? - In itself, if we were a unity, this split could not exist. In fact we are a multiplicity that has imagined a unity for itself.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 12[35])
     A reaction: Plato had the same thought, but stopped at three parts, rather than a multiplicity. What Nietzsche fails to say, I think, is that this 'imagined' unity of the mind is not optional, and obviously has a real link to the one body and the one life.
16. Persons / E. Rejecting the Self / 4. Denial of the Self
We contain many minds, which fight for the 'I' of the mind [Nietzsche]
     Full Idea: Many minds are housed within humans like creatures of the sea - they battle one another for the mind 'I'.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 4[207])
     A reaction: I am happy to use the word 'I' for the sense of central control of focus and choice, but there doesn's seem to be an actual organ of the Self, so it is a fiction, but one which reflects the general picture of what happens. I can pick a drive to foster.
18. Thought / A. Modes of Thought / 1. Thought
Thoughts are signs (just as words are) [Nietzsche]
     Full Idea: Thoughts are merely signs, as words are signs for thoughts.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 5[1]272)
     A reaction: The obvious question he invites is 'signs of what?'. His point must be that most thinking is both non-verbal and non-conscious, which he took to be true even of intellectual thought. I sympathise with his view.
19. Language / F. Communication / 1. Rhetoric
Great orators lead their arguments, rather than following them [Nietzsche]
     Full Idea: For me there are no true orators and super-orators unless they can convince the arguments themselves to run after them.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 22[01])
     A reaction: I translate this as great orators generating the mere appearance of good arguments. Both reason and feeling must be irrationally swept along. Nice.
19. Language / F. Communication / 5. Pragmatics / b. Implicature
The pragmatics of language is more comprehensible than the meaning [Nietzsche]
     Full Idea: The most comprehensible part of language is not the word itself, but rather tone, force, modulation, tempo, with which a series of words is spoken.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 3[296])
     A reaction: He exaggerates. If you watch someone talking vociferously in an unknown foreign language, the feeling of the exchange is obvious, but the content is quite unknown. I see his point that we underestimate body language etc.
20. Action / A. Definition of Action / 1. Action Theory
Actions are just a release of force. They seize on something, which becomes the purpose [Nietzsche]
     Full Idea: What is the source of actions? For what purpose? …People do not act for happiness, utility or pleasure. Rather, a certain amount of force is released. Seizes on something on which it can vent itself. 'Goal' and 'purpose' are the means for this process.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[077])
     A reaction: Surprised at how little Nietzsche is discussed in modern theoretical accounts of action. I'm not sure what the evolutionary value might be of a blind force that produces action before its purpose has been decided. Not convinced. What triggers the force?
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Drives make us feel non-feelings; Will is the effect of those feelings [Nietzsche]
     Full Idea: 'Drive' is only a translation from the language of nonfeeling into the language of feeling. 'Will' is what is communicated to our feelings as a result of that process - in other words an effect, and not the beginning and cause.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[025])
     A reaction: This shows the link between his central idea of 'drives' in psychology, and the actions that result. Effectively this makes all our actions arise from the unconscious. Intention and choice are effectively epiphenomena.
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We need lower and higher drives, but they must be under firm control [Nietzsche]
     Full Idea: All lower drives must be present and have fresh force if the highest ones want to exist and exist in abundance: but control of the whole must be in firm hands! otherwise the danger is too great.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 14[03])
     A reaction: This is unusual, because he speaks of the Self as little more than the currently dominant drive, but here he postulates a controller of the drives, a ringmaster. A-krasia means lack of control. Nietzsche wants en-krateia.
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
Our motives don't explain our actions [Nietzsche]
     Full Idea: Human actions can in no way be explained by reference to human motives.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 9[43])
     A reaction: He takes motives to come after the event. His view seems to be that our actions are deeply inexplicable. But if we explain why we performed some action, are we all and always lying? We give reasons, even if we don't know the source of the reasons.
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
People who miss beauty seek the sublime, where even the ugly shows its 'beauty' [Nietzsche]
     Full Idea: Whoever does to achieve the beautiful seeks the wildly sublime, because there even the ugly can show its 'beauty'. Likewise we seek the wildly sublime morality.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 11[049])
     A reaction: Is the 'we' here Nietzsche, or the herd? The former, I guess, since some the values he likes seem rather ugly to me. He is a fan of war, for example. I'm guessing that massive destruction is sublime but ugly.
The sublimity of nature which dwarfs us was a human creation [Nietzsche]
     Full Idea: This beauty and sublimity of nature, before which every human being seems small, was first imposed on nature by us.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 12[38])
     A reaction: I was struck when I was 10 with how indifferent to a landscape I was, when my mother told me it was 'beautiful'. Five years later I saw it differently. I assume nature is not intrinsically sublime. Dwarfed by our own concept is a bit odd.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We can aspire to greatness by creating new functions for ourselves [Nietzsche]
     Full Idea: To see the new greatness not above oneself, not outside oneself, but to make a new function from it.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 13[19])
     A reaction: Thus we might combine the Aristotelian and the existentialist views! Do we discover our function or invent it? Anyone who acquires an expertise is creating a new function for themselves, presumably with a high value.
Greeks might see modern analysis of what is human as impious [Nietzsche]
     Full Idea: Perhaps a Greek would experience the way we have delved deeply in uncovering what is human to be an impiety against nature, a shameless act.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 34[01])
     A reaction: Three instances come to mind: Vesalius, Kant and Darwin. That is, anatomical dissection, deep and critical introspection, and natural selection. Human dissection was certainly a Greek taboo.
Once a drive controls the intellect, it rules, and sets the goals [Nietzsche]
     Full Idea: Once it has taken control of the intellect, every single human drive probably demands to be recognised as the ultimate lord and goal-setter of all human matters.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[057])
     A reaction: This is the best line of attack against the view I like, that human values arise out of the central functions of human nature. It is roughly the existential objection. Is all intellect controlled by some drive, or can intellect seize control of a drive?
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
For absolute morality a goal for mankind is needed [Nietzsche]
     Full Idea: I deny absolute morality because I do not know an absolute goal of mankind.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 11[037])
     A reaction: Christianity dreams of union of souls with God (clustering around God like goldfish to food, according to Dante). That is an absolute goal, justifying an absolute morality. If Aristotelians could identify human nature, its flourishing might be absolute.
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
We always assign values, but we may not value those values [Nietzsche]
     Full Idea: It is impossible to live without assigning value: but it is possible to live without assigning value to what you value.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 5[1]186)
     A reaction: True. In my terminology, we can't live without thinking some things are more important than others. But that is compatible with not assigning much importance to anything.
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Humans are vividly aware of short-term effects, and almost ignorant of the long-term ones [Nietzsche]
     Full Idea: How weakly human beings feel responsible for their indirect and distant effects! And how cruelly and exaggeratedly the closest effect that we exert pounces on us - the effect we see, for which our myopic vision is still just sharp enough!
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 15[11])
     A reaction: This strikes me as both accurate and important, because consequentialist ethics is largely committed to judging by a very distorted image of their own objective.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is the active equilibrium of our drives [Nietzsche]
     Full Idea: Happiness would be the equilibrium of the triggering activities of all the drives.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[260])
     A reaction: For Nietzsche, only the 'highest' sort of human being could achieve such happiness. I can certainly see that there is happiness when a person is fully focused on something that seems worth doing.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Actual morality is more complicated and subtle than theory (which gets paralysed) [Nietzsche]
     Full Idea: Actual morality is infinitely more subtle, more complicated, more thoughtful than theoretical morality: the latter still stands awkward and embarrassed at the starting point.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[202])
     A reaction: Glad to find an explicit endorsement of particularism in Nietzsche, since so much of his discussion points that way.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Good and bad are a matter of actions, not of internal dispositions [Foot]
     Full Idea: Some philosophers insist that dispositions, motives and other 'internal' elements are the primary determinants of moral goodness and badness. I have never been a 'virtue ethicist' is this sense. For me it is what is done that stands in this position.
     From: Philippa Foot (Rationality and Goodness [2004], p.2), quoted by John Hacker-Wright - Philippa Foot's Moral Thought 4 'Virtue'
     A reaction: [She mentions Hursthouse, Slote, Swanton] I'm quite struck by this. Aristotle insists that morality concerns actions. It doesn't seem that a person could be a saint by having wonderful dispositions, but doing nothing. Paraplegics?
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
Some things we would never do, even for the highest ideals [Nietzsche]
     Full Idea: There are actions that we will never allow ourselves to engage in, not even as a means to the noblest end e.g., betraying a friend.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[241])
     A reaction: Jean Genet made a point of betraying his friends. I wonder why Nietzsche thinks we should not betray our friends? Being Nietzsche, he will certainly have asked the question.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
You should not want too many virtues; one is enough [Nietzsche]
     Full Idea: You should not want to have too many virtues. One virtue is already a lot of virtue.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 5[18])
     A reaction: A typically challenging thought from the great maverick of philosophy. Which virtue would you choose? Do some virtues entail further virtues?
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Talk of 'utility' presupposes that what is useful to people has been defined [Nietzsche]
     Full Idea: All this chat about 'utility' already presupposes that what is useful to people has been defined: in other words, useful for what! i.e. the people's purposes are already taken for granted.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 7[030])
     A reaction: When they stopped talking about utility they talked instead about 'benefit', but the same objection applies. This is the problem of paternalism in Utilitarianism, which leads to Preference Utilitarianism, which probably doesn't help.
23. Ethics / F. Existentialism / 1. Existentialism
The goal is to settle human beings, like other animals, but humans are still changeable [Nietzsche]
     Full Idea: Obviously the goal is to make human beings as steady and firm as most animal species; they have adapted to the conditions of the earth etc. and do not change essentially. The human being is still changeable - is still becoming.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 11[044])
     A reaction: I favour an Aristotelian view, based on the flourishing of human nature, but this thought obviously challenges such a view. Great changes to a culture can make some difference to the apparent nature of people.
23. Ethics / F. Existentialism / 2. Nihilism
My eternal recurrence is opposed to feeling fragmented and imperfect [Nietzsche]
     Full Idea: I held up eternal recurrence against the numbing feeling of general disintegration and imperfection.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 24[28])
     A reaction: I've heard people say that they think Nietzsche was a nihilist. This is nonsense. His whole career was an opposition to nihilism. His excitement over the idea of recurrence is that he sees a real answer to nihilism. You have to value a recurring life.
23. Ethics / F. Existentialism / 8. Eternal Recurrence
See our present lives as eternal! Religions see it as fleeting, and aim at some different life [Nietzsche]
     Full Idea: Let us press the image of eternity on our life! This thought contains more than all religions that despise this life as fleeting and taught us to look toward an unspecified different life.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 11[159])
     A reaction: This is the best statement of the idea of eternal recurrence I have so far found. His ideal is to design a life for ourselves which we would be happy to see endlessly repeated. A lot of thought would have to go into that!
The eternal return of wastefulness is a terrible thought [Nietzsche]
     Full Idea: The most terrible thought of an eternal return of wastefulness.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 20[02])
     A reaction: This illuminates quite well his notion of eternal recurrence. Not only what you would do in an eternally recurring life, but what you would avoid.
25. Social Practice / B. Equalities / 1. Grounds of equality
Justice says people are not equal, and should become increasingly unequal [Nietzsche]
     Full Idea: People are not equal: thus speaks justice. …Humans should keep becoming ever more unequal.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 12[43])
     A reaction: Important to add a little dash of Nietzsche to the widespread modern mantras about equality. We must at least question the extent to which equality should be our aim. (Personally I am an egalitarian liberal).
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Reasons that justify punishment can also justify the crime [Nietzsche]
     Full Idea: The reasons used to justify the punishment for a crime can also be used to justify the crime.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 3[312])
     A reaction: A splendid observation, even if it is not wholly true. The justification of capital punishment appeals in some way to the whole of society, but a murderer could hardly do that.
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Do away with punishment. Counter-retribution is as bad as the crime [Nietzsche]
     Full Idea: My programme: do away with punishment: for us. Counter-retribution is nonsense. (If something is evil, then whoever performs the counter-retribution is certainly committing the same evil).
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 16[17])
     A reaction: Note that he seems to have a perfectly orthodox concept of 'evil' here. I don't think he ever suggested a strategy to replace punishment.
25. Social Practice / E. Policies / 1. War / e. Peace
If you don't want war, remove your borders; but you set up borders because you want war [Nietzsche]
     Full Idea: You are waging war? You fear your neighbour? So remove the border markers: then you will have no more neighbours. But you want war: and that's why you set up the border markers in the first place.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 5[1]145)
     A reaction: The only reason to demarcate some territory is to keep other people out of it, which is a first act of gentle hostility. The European Union is trying to gradually dismantle the borders. Nietzsche had a creepy liking for war.
25. Social Practice / E. Policies / 5. Education / d. Study of history
Our growth is too subtle to perceive, and long events are too slow for us to grasp [Nietzsche]
     Full Idea: The slowness of the events in the history of human beings is not suited to the human sense of time - and the subtlety and smallness of all growth defies human vision.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 15[41])
     A reaction: The only way we can study history is by 'periods'. It is as if English history has its slate wiped clean in 1066, 1485, 1603 and 1689. All historians know that the reality of it all is totally beyond our grasp.
27. Natural Reality / C. Space / 2. Space
Unlike time, space is subjective. Empty space was assumed, but it doesn't exist [Nietzsche]
     Full Idea: Space, like matter, is a subjective form. Time is not. Space first emerged through the assumption of empty space. This doesn't exist. Force is everything.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 1[003])
     A reaction: I would think modern physics endorses his opinion of space. The original atomists proposed a 'void', to prevent traffic jams of atoms. Now we see space as fields, so it is never empty.
27. Natural Reality / G. Biology / 2. Life
Life is forces conjoined by nutrition, to produce resistance, arrangement and value [Nietzsche]
     Full Idea: A multiplicity of forces, conjoined through a common nutritive process, is what we call 'life'. All so-called feeling, representing, thinking is part of this nutritive process to enable resistance to other forces, and arrangement, and an evaluation.
     From: Friedrich Nietzsche (Unpublished Notebooks 1881-82 [1882], 24[14])
     A reaction: [compressed at the end] Since no one else seems able to define life, this is quite a good attempt. Life is certainly a sort of unification of active energies, which than share goals.