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All the ideas for 'Introduction to 'Properties'', 'What Required for Foundation for Maths?' and 'Unpublished Notebooks 1872-74'

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65 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom prevents us from being ruled by the moment [Nietzsche]
     Full Idea: The most important thing about wisdom is that it prevents human beings from being ruled by the moment.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 30 [25])
1. Philosophy / A. Wisdom / 2. Wise People
Unlike science, true wisdom involves good taste [Nietzsche]
     Full Idea: Inherent in wisdom [sophia] is discrimination, the possession of good taste: whereas science, lacking such a refined sense of taste, gobbles up anything that is worth knowing.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [086])
     A reaction: This is blatantly unfair to science, which may lack 'taste', but at least prefers deep theories with wide-ranging explanatory power to narrow local theories. Maybe the line across the philosophical community is the one picking out those with taste?
1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Suffering is the meaning of existence [Nietzsche]
     Full Idea: Suffering is the meaning of existence.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 32 [67])
     A reaction: This doesn't mean that he is advocating suffering. The context of his remark is that the pursuit of truth involves suffering.
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy ennobles the world, by producing an artistic conception of our knowledge [Nietzsche]
     Full Idea: Philosophy is indispensable for education because it draws knowledge into an artistic conception of the world, and thereby ennobles it.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [052])
     A reaction: I take this to be an unusual way of saying that philosophy aims at the unification of knowledge, which is roughly my own view. It has hard for us to keep believing that life could be 'ennobled'.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
The first aim of a philosopher is a life, not some works [Nietzsche]
     Full Idea: The philosopher's product is his life (first, before his works). It is his work of art.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [205])
You should only develop a philosophy if you are willing to live by it [Nietzsche]
     Full Idea: One should have a philosophy only to the extent that one is capable of living according to this philosophy: so that everything does not become mere words.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 30 [17])
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / f. Philosophy as healing
Philosophy is pointless if it does not advocate, and live, a new way of life [Nietzsche]
     Full Idea: As long as philosophers do not muster the courage to advocate a lifestyle structured in an entirely different way and demonstrate it by their own example, they will come to nothing.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 31 [10])
     A reaction: This is a pretty tough requirement for the leading logicians and metaphysicians of our day, but they must face their marginality. The public will only be interested in philosophers who advocate new ways of living.
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
Philosophy is more valuable than much of science, because of its beauty [Nietzsche]
     Full Idea: The reason why unprovable philosophizing still has some value - more value, in fact, than many a scientific proposition - lies in the aesthetic value of such philosophizing, that is, in its beauty and sublimity.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [076])
     A reaction: I am increasingly inclined to agree. I love wide-ranging and ambitious works of metaphysics, each of which is a unique creation of the human intellect (and with which no other individual will ever entirely agree). A great short paper is also beautiful.
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
It would better if there was no thought [Nietzsche]
     Full Idea: It would be better if thought did not exist at all.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [004])
Why do people want philosophers? [Nietzsche]
     Full Idea: Why do human beings even want philosophers?
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [019])
     A reaction: It is not clear, of course, that they do want philosophers. The standard attitude to them seems to be a mixture of contempt and fear.
Philosophy is always secondary, because it cannot support a popular culture [Nietzsche]
     Full Idea: It is not possible to base a popular culture on philosophy. Thus, with regard to culture, philosophy never can have primary, but always only secondary, significance.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 23 [14])
     A reaction: It is the brilliance of Christianity as a set of ideas that it is simple enough to found a popular culture. A complex theology would make that impossible. Luther brought it back to its roots, when the priesthood lost touch with the people.
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Kant has undermined our belief in metaphysics [Nietzsche]
     Full Idea: In a certain sense, Kant's influence was detrimental; for the belief in metaphysics has been lost.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [028])
     A reaction: As I understand it, there are two interpretations of Kant, one of which is fairly thoroughly anti-metaphysical, and another which is less so. Also one path leads to idealism and the other doesn't, but I need to research that.
1. Philosophy / G. Scientific Philosophy / 3. Scientism
If philosophy controls science, then it has to determine its scope, and its value [Nietzsche]
     Full Idea: The philosophy that is in control of science must also consider the extent to which science should be allowed to develop; it must determine its value!
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [024])
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]
     Full Idea: Ockham's Razor is the principle that we need reasons to believe in entities.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §9)
     A reaction: This presumably follows from an assumption that all beliefs need reasons, but is that the case? The Principle of Sufficient Reason precedes Ockham's Razor.
2. Reason / D. Definition / 2. Aims of Definition
Definitions make our intuitions mathematically useful [Mayberry]
     Full Idea: Definition provides us with the means for converting our intuitions into mathematically usable concepts.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1)
2. Reason / E. Argument / 6. Conclusive Proof
Proof shows that it is true, but also why it must be true [Mayberry]
     Full Idea: When you have proved something you know not only that it is true, but why it must be true.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-2)
     A reaction: Note the word 'must'. Presumably both the grounding and the necessitation of the truth are revealed.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Set theory can't be axiomatic, because it is needed to express the very notion of axiomatisation [Mayberry]
     Full Idea: Set theory cannot be an axiomatic theory, because the very notion of an axiomatic theory makes no sense without it.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.413-2)
     A reaction: This will come as a surprise to Penelope Maddy, who battles with ways to accept the set theory axioms as the foundation of mathematics. Mayberry says that the basic set theory required is much more simple and intuitive.
There is a semi-categorical axiomatisation of set-theory [Mayberry]
     Full Idea: We can give a semi-categorical axiomatisation of set-theory (all that remains undetermined is the size of the set of urelements and the length of the sequence of ordinals). The system is second-order in formalisation.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.413-2)
     A reaction: I gather this means the models may not be isomorphic to one another (because they differ in size), but can be shown to isomorphic to some third ingredient. I think. Mayberry says this shows there is no such thing as non-Cantorian set theory.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The misnamed Axiom of Infinity says the natural numbers are finite in size [Mayberry]
     Full Idea: The (misnamed!) Axiom of Infinity expresses Cantor's fundamental assumption that the species of natural numbers is finite in size.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The set hierarchy doesn't rely on the dubious notion of 'generating' them [Mayberry]
     Full Idea: The idea of 'generating' sets is only a metaphor - the existence of the hierarchy is established without appealing to such dubious notions.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)
     A reaction: Presumably there can be a 'dependence' or 'determination' relation which does not involve actual generation.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of size is part of the very conception of a set [Mayberry]
     Full Idea: Our very notion of a set is that of an extensional plurality limited in size.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.415-2)
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The mainstream of modern logic sees it as a branch of mathematics [Mayberry]
     Full Idea: In the mainstream tradition of modern logic, beginning with Boole, Peirce and Schröder, descending through Löwenheim and Skolem to reach maturity with Tarski and his school ...saw logic as a branch of mathematics.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.410-1)
     A reaction: [The lesser tradition, of Frege and Russell, says mathematics is a branch of logic]. Mayberry says the Fregean tradition 'has almost died out'.
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic is just slavery to language [Nietzsche]
     Full Idea: Logic is merely slavery in the fetters of language.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [008])
     A reaction: I don't think I agree with this, but I still like it.
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic only has its main theorems because it is so weak [Mayberry]
     Full Idea: First-order logic is very weak, but therein lies its strength. Its principle tools (Compactness, Completeness, Löwenheim-Skolem Theorems) can be established only because it is too weak to axiomatize either arithmetic or analysis.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.411-2)
     A reaction: He adds the proviso that this is 'unless we are dealing with structures on whose size we have placed an explicit, finite bound' (p.412-1).
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Only second-order logic can capture mathematical structure up to isomorphism [Mayberry]
     Full Idea: Second-order logic is a powerful tool of definition: by means of it alone we can capture mathematical structure up to isomorphism using simple axiom systems.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Big logic has one fixed domain, but standard logic has a domain for each interpretation [Mayberry]
     Full Idea: The 'logica magna' [of the Fregean tradition] has quantifiers ranging over a fixed domain, namely everything there is. In the Boolean tradition the domains differ from interpretation to interpretation.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.410-2)
     A reaction: Modal logic displays both approaches, with different systems for global and local domains.
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
No Löwenheim-Skolem logic can axiomatise real analysis [Mayberry]
     Full Idea: No logic which can axiomatize real analysis can have the Löwenheim-Skolem property.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
'Classificatory' axioms aim at revealing similarity in morphology of structures [Mayberry]
     Full Idea: The purpose of a 'classificatory' axiomatic theory is to single out an otherwise disparate species of structures by fixing certain features of morphology. ...The aim is to single out common features.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.406-2)
Axiomatiation relies on isomorphic structures being essentially the same [Mayberry]
     Full Idea: The central dogma of the axiomatic method is this: isomorphic structures are mathematically indistinguishable in their essential properties.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.406-2)
     A reaction: Hence it is not that we have to settle for the success of a system 'up to isomorphism', since that was the original aim. The structures must differ in their non-essential properties, or they would be the same system.
'Eliminatory' axioms get rid of traditional ideal and abstract objects [Mayberry]
     Full Idea: The purpose of what I am calling 'eliminatory' axiomatic theories is precisely to eliminate from mathematics those peculiar ideal and abstract objects that, on the traditional view, constitute its subject matter.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.407-1)
     A reaction: A very interesting idea. I have a natural antipathy to 'abstract objects', because they really mess up what could otherwise be a very tidy ontology. What he describes might be better called 'ignoring' axioms. The objects may 'exist', but who cares?
5. Theory of Logic / K. Features of Logics / 6. Compactness
No logic which can axiomatise arithmetic can be compact or complete [Mayberry]
     Full Idea: No logic which can axiomatise arithmetic can be compact or complete.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)
     A reaction: I take this to be because there are new truths in the transfinite level (as well as the problem of incompleteness).
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry]
     Full Idea: We eliminate the real numbers by giving an axiomatic definition of the species of complete ordered fields. These axioms are categorical (mutually isomorphic), and thus are mathematically indistinguishable.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.408-2)
     A reaction: Hence my clever mathematical friend says that it is a terrible misunderstanding to think that mathematics is about numbers. Mayberry says the reals are one ordered field, but mathematics now studies all ordered fields together.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity
Greek quantities were concrete, and ratio and proportion were their science [Mayberry]
     Full Idea: Quantities for Greeks were concrete things - lines, surfaces, solids, times, weights. At the centre of their science of quantity was the beautiful theory of ratio and proportion (...in which the notion of number does not appear!).
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.407-2)
     A reaction: [He credits Eudoxus, and cites Book V of Euclid]
Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry]
     Full Idea: The abstract objects of modern mathematics, the real numbers, were invented by the mathematicians of the seventeenth century in order to simplify and to generalize the Greek science of quantity.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.407-2)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry]
     Full Idea: In Cantor's new vision, the infinite, the genuine infinite, does not disappear, but presents itself in the guise of the absolute, as manifested in the species of all sets or the species of all ordinal numbers.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)
Cantor extended the finite (rather than 'taming the infinite') [Mayberry]
     Full Idea: We may describe Cantor's achievement by saying, not that he tamed the infinite, but that he extended the finite.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
If proof and definition are central, then mathematics needs and possesses foundations [Mayberry]
     Full Idea: If we grant, as surely we must, the central importance of proof and definition, then we must also grant that mathematics not only needs, but in fact has, foundations.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1)
The ultimate principles and concepts of mathematics are presumed, or grasped directly [Mayberry]
     Full Idea: The ultimate principles upon which mathematics rests are those to which mathematicians appeal without proof; and the primitive concepts of mathematics ...themselves are grasped directly, if grasped at all, without the mediation of definition.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-1)
     A reaction: This begs the question of whether the 'grasping' is purely a priori, or whether it derives from experience. I defend the latter, and Jenkins puts the case well.
Foundations need concepts, definition rules, premises, and proof rules [Mayberry]
     Full Idea: An account of the foundations of mathematics must specify four things: the primitive concepts for use in definitions, the rules governing definitions, the ultimate premises of proofs, and rules allowing advance from premises to conclusions.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.405-2)
Axiom theories can't give foundations for mathematics - that's using axioms to explain axioms [Mayberry]
     Full Idea: No axiomatic theory, formal or informal, of first or of higher order can logically play a foundational role in mathematics. ...It is obvious that you cannot use the axiomatic method to explain what the axiomatic method is.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.415-2)
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
1st-order PA is only interesting because of results which use 2nd-order PA [Mayberry]
     Full Idea: The sole theoretical interest of first-order Peano arithmetic derives from the fact that it is a first-order reduct of a categorical second-order theory. Its axioms can be proved incomplete only because the second-order theory is categorical.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
It is only 2nd-order isomorphism which suggested first-order PA completeness [Mayberry]
     Full Idea: If we did not know that the second-order axioms characterise the natural numbers up to isomorphism, we should have no reason to suppose, a priori, that first-order Peano Arithmetic should be complete.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is not just first-order ZF, because that is inadequate for mathematics [Mayberry]
     Full Idea: The idea that set theory must simply be identified with first-order Zermelo-Fraenkel is surprisingly widespread. ...The first-order axiomatic theory of sets is clearly inadequate as a foundation of mathematics.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.412-2)
     A reaction: [He is agreeing with a quotation from Skolem].
We don't translate mathematics into set theory, because it comes embodied in that way [Mayberry]
     Full Idea: One does not have to translate 'ordinary' mathematics into the Zermelo-Fraenkel system: ordinary mathematics comes embodied in that system.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.415-1)
     A reaction: Mayberry seems to be a particular fan of set theory as spelling out the underlying facts of mathematics, though it has to be second-order.
Set theory is not just another axiomatised part of mathematics [Mayberry]
     Full Idea: The fons et origo of all confusion is the view that set theory is just another axiomatic theory and the universe of sets just another mathematical structure. ...The universe of sets ...is the world that all mathematical structures inhabit.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.416-1)
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
If some sort of experience is at the root of matter, then human knowledge is close to its essence [Nietzsche]
     Full Idea: If pleasure, displeasure, sensation, memory, reflex movements are all part of the essence of matter, then human knowledge penetrates far more deeply into the essence of things.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [161])
     A reaction: I don't think Nietzsche is thinking of monads at this point, but his idea certainly applies to them. Leibniz rested his whole theory on the close analogy between how minds work and how matter must also work.
8. Modes of Existence / B. Properties / 6. Categorical Properties
Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]
     Full Idea: Properties are respects in which particular objects may be alike or differ.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §1)
     A reaction: Note that this definition does not mention a causal role for properties.
8. Modes of Existence / B. Properties / 12. Denial of Properties
Nominalists ask why we should postulate properties at all [Mellor/Oliver]
     Full Idea: Nominalists ask why we should postulate properties at all.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §3)
     A reaction: Objects might be grasped without language, but events cannot be understood, and explanations of events seem inconceivable without properties (implying that they are essentially causal).
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Real numbers as abstracted objects are now treated as complete ordered fields [Mayberry]
     Full Idea: The abstractness of the old fashioned real numbers has been replaced by generality in the modern theory of complete ordered fields.
     From: John Mayberry (What Required for Foundation for Maths? [1994], p.408-2)
     A reaction: In philosophy, I'm increasingly thinking that we should talk much more of 'generality', and a great deal less about 'universals'. (By which I don't mean that redness is just the set of red things).
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Belief matters more than knowledge, and only begins when knowledge ceases [Nietzsche]
     Full Idea: The human being starts to believe when he ceases to know. …Knowledge is not as important for the welfare of human beings as is belief.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 21 [13])
     A reaction: The first idea is now associated with Williamson (and Hossack). The second is something like the pragmatic view of belief espoused by Ramsey.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
It always remains possible that the world just is the way it appears [Nietzsche]
     Full Idea: Against Kant we can still object, even if we accept all his propositions, that it is still possible that the world is as it appears to us.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [125])
     A reaction: This little thought at least seems to be enough to block the slide from phenomenalism into total idealism. The idea that direct realism can never be ruled out, even if it is false, is very striking.
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Our knowledge is illogical, because it rests on false identities between things [Nietzsche]
     Full Idea: Every piece of knowledge that is beneficial to us involves an identification of nonidentical things, of things that are similar, which means that it is essentially illogical.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [236])
     A reaction: I take the thought to be that no two tigers are alike, but we call them all 'tigers' and merge them into a type, and then all our knowledge is based on this distortion. A wonderful idea. I love particulars You should love particulars.
The most extreme scepticism is when you even give up logic [Nietzsche]
     Full Idea: Even skepticism contains a belief: the belief in logic. The most extreme position is hence the abandoning of logic.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [008])
     A reaction: Some might say that flirting with non-classical logic (as in Graham Priest) is precisely travelling down this road. You could also be sceptical about meaning in language, so you couldn't articulate your abandonment of logic.
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
If we find a hypothesis that explains many things, we conclude that it explains everything [Nietzsche]
     Full Idea: The feeling of certainty is the most difficult to develop. Initially one seeks explanation: if a hypothesis explains many things, we draw the conclusion that it explains everything.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [238])
     A reaction: As so often, a wonderful warning from Nietzsche to other philosophers. They love to latch onto a Big Idea, and offer it as the answer to everything (especially, dare I say it, continental philosophers).
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Our primary faculty is perception of structure, as when looking in a mirror [Nietzsche]
     Full Idea: The primary faculty seems to me to be the perception of structure, that is, based upon the mirror.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [153])
     A reaction: The point about the mirror makes this such an intriguingly original idea. Personally I like very much the idea that structure is our prime perception. See Sider 2011 on structure.
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
We experience causation between willing and acting, and thereby explain conjunctions of changes [Nietzsche]
     Full Idea: The only form of causality of which we are aware is that between willing and acting - we transfer this to all things, and thereby explain the relationship between two changes that always occur together.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [209])
     A reaction: This is a rather Humean view, of projecting our experience onto the world, but it may be that we really are experiencing real causation, just as it occurs between insentiate things.
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
It is just madness to think that the mind is supernatural (or even divine!) [Nietzsche]
     Full Idea: To view 'spirit', the product of the brain, as supernatural. Even to deify it. What madness!
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [127])
     A reaction: When I started philolosophy I was obliged to take mind-body dualism very seriously, but I have finally managed to drag myself to the shores of this lake of madness, where Nietzsche awaited with a helping hand.
18. Thought / E. Abstraction / 5. Abstracta by Negation
Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]
     Full Idea: Abstract entities (such as sets) are usually understood as lacking causes, effects, and spatio-temporal location.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §10)
     A reaction: This seems to beg some questions. Has the ideal of 'honour' never caused anything? Young men dream of pure velocity.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The shortest path to happiness is forgetfulness, the path of animals (but of little value) [Nietzsche]
     Full Idea: If happiness were the goal, then animals would be the highest creatures. Their cynicism is grounded in forgetfulness: that is the shortest path to happiness, even if it is a happiness with little value.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [143])
     A reaction: I would be reluctant to describe an apparently contented cow as 'happy'. Is a comatose person happy? Maybe happiness is fulfilling one's nature, like a monkey swinging through trees?
25. Social Practice / E. Policies / 5. Education / b. Education principles
Education is contrary to human nature [Nietzsche]
     Full Idea: Education runs contrary to the nature of a human being.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 30 [06])
     A reaction: Tell me about it!
25. Social Practice / E. Policies / 5. Education / d. Study of history
We should evaluate the past morally [Nietzsche]
     Full Idea: For the past I desire above all a moral evaluation.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [096])
     A reaction: There is a bit of a contradiction with Idea 14819, of only a few years later. He was always interested in a historical approach to morality, but I'm not sure if his ethics gives a decent basis for moral assessments of remote historical eras.
25. Social Practice / F. Life Issues / 6. Animal Rights
Protest against vivisection - living things should not become objects of scientific investigation [Nietzsche]
     Full Idea: Protest against vivisection of living things, that is, those things that are not yet dead should be allowed to live and not immediately be treated as an object for scientific investigation.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [027])
     A reaction: Wow. How many other people had come up with this idea in 1873?
26. Natural Theory / C. Causation / 3. Final causes
We do not know the nature of one single causality [Nietzsche]
     Full Idea: We do not know the nature of one single causality.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [121])
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Laws of nature are merely complex networks of relations [Nietzsche]
     Full Idea: All laws of nature are only relations between x, y and z. We define laws of nature as relations to an x, y, and z, each of which in turn, is known to us only in relation to other x's, y's and z's.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [235])
     A reaction: This could be interpreted in Armstrong's terms, as only identifying the x's, y's and z's by their universals, and then seeing laws as how those universal relate. I suspect, though, that Nietzsche has a Humean regularity pattern in mind.
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
The Greeks lack a normative theology: each person has their own poetic view of things [Nietzsche]
     Full Idea: The Greeks lack a normative theology: everyone has the right to deal with it in a poetic manner and he can believe whatever he wants.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [110])
     A reaction: There is quite a lot of record of harshness towards atheists, and the trial of Socrates seems to have been partly over theology. However, no proper theological texts have come down, or records of the teachings of the priests.