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All the ideas for 'On boundary numbers and domains of sets', 'Works (refs to 8 vol Colli and Montinari)' and 'Conspectus libelli (book outline)'

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33 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 / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
     Full Idea: Zermelo's paper sets out to show that the standard set-theoretic axioms (what he calls the 'constitutive axioms', thus the ZF axioms minus the axiom of infinity) have an unending sequence of different models, thus that they are non-categorical.
     From: report of Ernst Zermelo (On boundary numbers and domains of sets [1930]) by Michael Hallett - Introduction to Zermelo's 1930 paper p.1209
     A reaction: Hallett says later that Zermelo is working with second-order set theory. The addition of an Axiom of Infinity seems to have aimed at addressing the problem, and the complexities of that were pursued by Gödel.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
     Full Idea: Zermelo included Replacement in 1930, after it was noticed that the sequence of power sets was needed, and Replacement gave the ordinal form of the well-ordering theorem, and justification for transfinite recursion.
     From: report of Ernst Zermelo (On boundary numbers and domains of sets [1930]) by Penelope Maddy - Believing the Axioms I §1.8
     A reaction: Maddy says that this axiom suits the 'limitation of size' theorists very well, but is not so good for the 'iterative conception'.
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
     Full Idea: Two opposite tendencies of thought, the idea of creative advance and of collection and completion (underlying the Kantian 'antinomies') find their symbolic representation and their symbolic reconciliation in the transfinite numbers based on well-ordering.
     From: Ernst Zermelo (On boundary numbers and domains of sets [1930], §5)
     A reaction: [a bit compressed] It is this sort of idea, from one of the greatest set-theorists, that leads philosophers to think that the philosophy of mathematics may offer solutions to metaphysical problems. As an outsider, I am sceptical.
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 / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz]
     Full Idea: Without soul or form of some kind, a body would have no being, because no part of it can be designated which does not in turn consist of more parts. Thus nothing could be designated in a body which could be called 'this thing', or a unity.
     From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1988), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1
     A reaction: The locution 'soul or form' is disconcerting, and you have to spend some time with Leibniz to get the hang of it. The 'soul' is not intelligent, and is more like a source of action and response.
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz]
     Full Idea: Substantial form, or soul, is the principle of unity and duration, matter is that of multiplicity and change
     From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1398-9), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 2
     A reaction: Leibniz was a fan of the unfashionable Aristotle, and tried to put a spin on his views consonant with contemporary Hobbesian mechanistic views. Oddly, he likes the idea that 'form' is indestructable, which I don't understand.
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.
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber]
     Full Idea: Insofar as we have some insight into how God chooses, we can know a priori the laws of nature that God chooses for this best of all possible worlds. In this way, it is possible to have genuine a priori knowledge of contingent truths.
     From: report of Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1998-9) by Daniel Garber - Leibniz:Body,Substance,Monad 6
     A reaction: I think it would be doubtful whether our knowledge of God's choosings would count as a priori. How do we discover them? Ah! We derive God from the ontological argument, and his choosings from the divine perfection implied thereby.
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Every body contains a kind of sense and appetite, or a soul [Leibniz]
     Full Idea: I believe that there is in every body a kind of sense and appetite, or a soul.
     From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.2010), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1
     A reaction: Note that he never says that there is any intelligence present. This eventually becomes his monadology, but Leibniz is the most obvious post-Greek philosopher to flirt with panpsychism.
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.