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All the ideas for 'Thinking About Mathematics', 'The Laws of Thought' and 'Works (refs to 8 vol Colli and Montinari)'

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45 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Nietzsche thinks philosophy makes us more profound, but not better [Nietzsche, by Ansell Pearson]
     Full Idea: Nietzsche does not think philosopher exists to make us better human beings - but it can make us more profound ones.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Keith Ansell Pearson - How to Read Nietzsche Intro
     A reaction: What is the point of being more 'profound' if that isn't 'better'? Are we sure that Kant is more 'profound' than a Yanomamo Indian? Personally I think philosophy tends to produce moral improvement, but I have seen a few striking counterexamples.
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
How many mediocre thinkers are occupied with influential problems! [Nietzsche]
     Full Idea: It is a terrible thought to contemplate that an immense number of mediocre thinkers are occupied with really influential matters.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography 03
     A reaction: [in a journal of 1867] What would he say now, with the plethora of academics and students aspiring to the highest levels of human thought? If I face up to the fact that I am 'mediocre', should I stop? And become mediocre at something else?
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Nietzsche has a metaphysics, as well as perspectives - the ontology is the perspectives [Nietzsche, by Richardson]
     Full Idea: Nietzsche's thought includes both a metaphysics and a perspectivism, once these are more complexly grasped. But I argue that the metaphysics is basic: it's an ontology of perspectives.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by John Richardson - Nietzsche's System Intro
     A reaction: Very good. If it was just gormless relativism, which is what many people hope for in Nietzsche, why is it many perspectives? If they are just relative, having lots of them is no help. The point is they sum, and increase verisimilitude.
2. Reason / A. Nature of Reason / 7. Status of Reason
Reason is just another organic drive, developing late, and fighting for equality [Nietzsche]
     Full Idea: Reason is a support organ that slowly develops itself, ...and emancipates itself slowly to equal rights with the organic drives - so that reason (belief and knowledge) fights with the drives, as itself a new drive, very late come to preponderance.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 9/11[243]), quoted by John Richardson - Nietzsche's System 4.3.2 n55
     A reaction: A very powerful and fascinating idea. There is a silly post-modern tendency to think that Nietzsche denegrates and trivialises reason because of remarks like this, but he takes ranking the drives to be the supreme activity. I rank reason high.
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
     Full Idea: Boole proposed to use the entire apparatus of a school algebra class, with operations such as addition and multiplication, methods to solve equations, and the like, to produce an algebra of thought.
     From: report of George Boole (The Laws of Thought [1854]) by Keith Devlin - Goodbye Descartes Ch.3
     A reaction: The Stoics didn’t use any algebraic notation for their study of propositions, so Boole's idea launched full blown propositional logic, and the rest of modern logic followed. Nice one.
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
     Full Idea: Boole introduced a new symbolic notation in which it was possible to represent both syllogisms and propositional arguments, ...but not both at once.
     From: report of George Boole (The Laws of Thought [1854], Ch.3) by Joan Weiner - Frege
     A reaction: How important is the development of symbolic notations for the advancement of civilisations? Is there a perfect notation, as used in logical heaven?
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
     Full Idea: Boole (followed by Frege) began to turn logic from a branch of philosophy into a branch of mathematics. He brought an algebraic approach to propositions, and introduced the notion of a quantifier and a type of probabilistic reasoning.
     From: report of George Boole (The Laws of Thought [1854], 3.2) by Michèle Friend - Introducing the Philosophy of Mathematics
     A reaction: The result was that logic not only became more mathematical, but also more specialised. We now have two types of philosopher, those steeped in mathematical logic and the rest. They don't always sing from the same songsheet.
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.
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
     Full Idea: Boole's work was an early example of the axiomatic method, whereby intellectual economy is achieved by studying a set of axioms in which the primitive terms have multiple interpretations.
     From: report of George Boole (The Laws of Thought [1854]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Boole'
     A reaction: Unclear about this. I suppose the axioms are just syntactic, and a range of semantic interpretations can be applied. Are De Morgan's Laws interpretations, or implications of the syntactic axioms? The latter, I think.
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 / D. Theories of Reality / 5. Naturalism
First see nature as non-human, then fit ourselves into this view of nature [Nietzsche]
     Full Idea: My task is the dehumanisation of nature, and then the naturalisation of humanity once it has attained the pure concept of 'nature'.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 9.525), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography 10
     A reaction: Safranski sees this as summarising Nietzsche's project, and it could be a mission statement for naturalism. This idea pinpoints why I take Nietzsche to be important - as a pioneer of the naturalistic view of people.
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Storms are wonderful expressions of free powers! [Nietzsche]
     Full Idea: How different the lightning, the storm, the hail, free powers, without ethics! How happy, how powerful they are, pure will, untarnished by intellect!
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 2.122), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography 02
     A reaction: Nietzsche was a perfect embodiment of the Romantic Movement! I take this to be a deep observation, since I think raw powers are the most fundamental aspect of nature. Schopenhauer is behind this idea.
9. Objects / D. Essence of Objects / 3. Individual Essences
We begin with concepts of kinds, from individuals; but that is not the essence of individuals [Nietzsche]
     Full Idea: The overlooking of individuals gives us the concept and with this our knowledge begins: in categorising, in the setting up of kinds. But the essence of things does not correspond to this.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], p.51)
     A reaction: [dated c1873] Aha! So Nietzsche agrees with me in my defence of individual essences, against kind essences (which seem to me to obviously derive from the nature of individuals). Deep in my heart I knew I would find this quotation one day.
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.
20. Action / A. Definition of Action / 1. Action Theory
Nietzsche classified actions by the nature of the agent, not the nature of the act [Nietzsche, by Foot]
     Full Idea: Nietzsche thought profoundly mistaken a taxonomy that classified actions as the doing of this or that, insisting that the true nature of an action depended rather on the nature of the individual who did it.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 7) by Philippa Foot - Natural Goodness 7
     A reaction: This is more in the spirit of Aristotle than in the modern legalistic style. It seems to totally ignore consequences, which would puzzle victims or beneficiaries of the action.
20. Action / C. Motives for Action / 4. Responsibility for Actions
Nietzsche failed to see that moral actions can be voluntary without free will [Foot on Nietzsche]
     Full Idea: To threaten morality Nietzsche needed to show not only that free will was an illusion, but also that no other distinction between voluntary and involuntary action (Aristotle's, for instance) would do instead. He seems to be wrong about this.
     From: comment on Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 7) by Philippa Foot - Natural Goodness
     A reaction: Just the idea I have been seeking! There is no free will, so in what way are we responsible? Simple: we are responsible for any act which can be shown to be voluntary. It can't just be any action we fully caused, because of accidents.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Each person has a fixed constitution, which makes them a particular type of person [Nietzsche, by Leiter]
     Full Idea: Nietzsche's view (which we may call the 'Doctrine of Types') is that each person has a fixed psycho-physical constitution, which defines him as a particular type of person.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Brian Leiter - Nietzsche On Morality 1 'What kind'
     A reaction: An interestesting variant, standing between the Aristotelian picture of one shared human nature, and the existentialist picture of our endlessly malleable nature. So what type am I, and what type are you? How many types are there?
Nietzsche could only revalue human values for a different species [Nietzsche, by Foot]
     Full Idea: It is only for a different species that Nietzsche's most radical revaluation of values could be valid. It is not valid for us as we are, or are ever likely to be.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Philippa Foot - Natural Goodness 7
     A reaction: This is the Aristotelian view, that our values and virtues arise out of our human nature, with which I largely agree, though we should resist its rather conservative tendencies.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The superman is a monstrous oddity, not a serious idea [MacIntyre on Nietzsche]
     Full Idea: The Übermensch belongs in the pages of a philosophical bestiary rather than in serious discussion.
     From: comment on Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Alasdair MacIntyre - After Virtue: a Study in Moral Theory Ch.2
     A reaction: It may just be an empirical and historical fact that the value-systems of a culture arise from the characters of a few strong-willed and charismatic individuals, rather than from collective need - let along collective philosophising.
Nietzsche's higher type of man is much more important than the idealised 'superman' [Nietzsche, by Leiter]
     Full Idea: The 'superman' has received far more attention from commentators than it warrants: the higher type of human being (a Goethe or a Nietzsche) is much more important than the hyperbolic, and often obscure, Zarathustrian rhetoric about the über-mensch.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Brian Leiter - Nietzsche On Morality 4 'Higher' n2
     A reaction: Leiter says the über-mensch idea almost entirely drops out of Nietzsche's mature work.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
The 'will to power' is basically applied to drives and forces, not to people [Nietzsche, by Richardson]
     Full Idea: 'Will to power' is most basically applied not to people but to 'drives' or 'forces', simpler units which Nietzsche sometimes calls 'points' and 'power quanta'.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 1) by John Richardson - Nietzsche's System 1
     A reaction: This strikes as a correct account of Nietzsche, and a hugely important interpretative point. He wasn't saying that all human beings would conquer the world if they could. The point is there are many conflicting and combining wills to power.
22. Metaethics / B. Value / 2. Values / g. Love
Friendly chats undermine my philosophy; wanting to be right at the expense of love is folly [Nietzsche]
     Full Idea: My entire philosophy wavers after just an hour of friendly conversation with complete strangers. It strikes me as so foolish to insist on being right at the expense of love.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 6.37), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography 09
     A reaction: [Letter to Gast, 1880] Strangers who met Nietzsche on walks reported how kind and friendly he was. Most people want to be right most of the time, but a few people have this vice in rather excessive form. Especially philosophers!
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Moral generalisation is wrong, because we should evaluate individual acts [Nietzsche, by Foot]
     Full Idea: Nietzsche believed that moral generalisation was impossible because the proper subject of evaluation was, instead, a person's individual act.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Philippa Foot - Nietzsche's Immoralism p.155
     A reaction: This suggests a different type of particularism, focusing on the particular decision, rather than on the details of the situation. Presumable no two moral decisions are ever sufficiently the same to be compared. But a lie is a lie.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Nietzsche thought our psychology means there can't be universal human virtues [Nietzsche, by Foot]
     Full Idea: Nietzsche believed, in effect, that as the facts of human psychology really were, there could be no such thing as human virtues, dispositions good in any man.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Philippa Foot - Nietzsche's Immoralism p.157
     A reaction: Presumably each individual can only have virtues appropriate to their individual nature, which is something like channelling their personal psychological drives. Can't we each have our individual version of courage or honesty?
23. Ethics / F. Existentialism / 1. Existentialism
Nietzsche tried to lead a thought-provoking life [Safranski on Nietzsche]
     Full Idea: All of us ponder our existences, but Nietzsche strove to lead the kind of life that would yield food for thought.
     From: comment on Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 01) by Rüdiger Safranski - Nietzsche: a philosophical biography 01
     A reaction: Could Nietzsche possibly be a role model for us in this respect? If I were starting afresh, guided by this thought, I'm not sure how I would go about it. It is Nietzsche's astonishing independence of thought that hits you.
23. Ethics / F. Existentialism / 2. Nihilism
Initially nihilism was cosmic, but later Nietzsche saw it as a cultural matter [Nietzsche, by Ansell Pearson]
     Full Idea: Nietzsche's first presentation of nihilism is an existential affair arising from cosmic problems, but he later stressed nihilism as a historical and cultural problem of values, where mankind's highest values reach a point of devaluation.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Keith Ansell Pearson - How to Read Nietzsche Ch.1
     A reaction: The second version seems to imply a quasi-Marxist determinism about social progress. Then you would have to ask, what is the point of fighting against it? I wonder if Nietzsche's values are anti-nihilist, but his metaethics makes nihilism unavoidable?
Nietzsche urges that nihilism be active, and will nothing itself [Nietzsche, by Zizek]
     Full Idea: Nietzsche opposes active to passive nihilism - it is better to actively will nothing itself than not to will anything.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Slavoj Zizek - Conversations, with Glyn Daly §3
     A reaction: To 'actively will nothing' sounds to me indistinguishable from suicide, which I don't believe was ever on Nietzsche's agenda. It is hard, though, to disentangle Nietzsche's attitude to nihilism.
23. Ethics / F. Existentialism / 4. Boredom
Flight from boredom leads to art [Nietzsche]
     Full Idea: Flight from boredom is the mother of all art.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 8.432), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography Intro
     A reaction: I might even say that all human achievement comes from boredom.
23. Ethics / F. Existentialism / 7. Existential Action
Nietzsche was fascinated by a will that can turn against itself [Nietzsche, by Safranski]
     Full Idea: Nietzsche was fascinated by the idea of a will that turns against itself, against its usual impulses.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by Rüdiger Safranski - Nietzsche: a philosophical biography 03
     A reaction: This strikes me as very existentialist - a case of existence before essence.
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Reliving life countless times - this gives the value back to life which religion took away [Nietzsche]
     Full Idea: "Is this something I want to do countless times?" ....Let us etch the image of eternity onto our own lives! This thought embodies more than all religions, which taught us to disdain life as something ephemeral and to look toward an unspecified other life.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 9.496,503), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography 10
     A reaction: You can't get away from eternal recurrence being an imaginative trick, to focus value onto our choices. For a while Nietzsche tried to persuade himself that the recurrence actually occurred, but we all know it doesn't.
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Individual development is more important than the state, but a community is necessary [Nietzsche]
     Full Idea: All states and communities are something lower than the individual, but necessary kinds for his higher development.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 10/7[98]), quoted by John Richardson - Nietzsche's System 2.4 n104
     A reaction: This indicates why Nietzsche should not really be taken as a political thinker, though I would say there is a sort of communitarianism implied in this, just as for Aristotle virtue is supreme, which needs social expression.
24. Political Theory / B. Nature of a State / 4. Citizenship
Nietzsche thinks we should join a society, in order to criticise, heal and renew it [Nietzsche, by Richardson]
     Full Idea: Nietzsche thinks the best way of both joining and opposing a society is to find where it's sick, to be its merciless critic and exposer, and to help heal and renew it.
     From: report of Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885]) by John Richardson - Nietzsche's System 3.3
     A reaction: This sounds like the great Victorian sages, such as Ruskin and Arnold. Christopher Hitchens was a nice recent example. Maybe these have been the finest British citizens?
24. Political Theory / B. Nature of a State / 5. Culture
Every culture loses its identity and power if it lacks a major myth [Nietzsche]
     Full Idea: Without myth every culture loses its natural healthy creating power: only a horizon encircled with myths can mark off a cultural movement as a discrete unit.
     From: Friedrich Nietzsche (Works (refs to 8 vol Colli and Montinari) [1885], 1.145)
     A reaction: In the early part of his career this was a big idea for Nietzsche, especially associated with Wagner's Ring, but he moved away from the idea later.