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All the ideas for 'fragments/reports', 'Principia Mathematica' and 'Unpublished Notebooks 1872-74'

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57 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     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 30 [25])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     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [086])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     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 32 [67])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     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [052])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     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [205])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
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.
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.
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])
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]
     Full Idea: The best known axiomatization of PL is Whitehead/Russell. There are four axioms: (p∨p)→p, q→(p∨q), (p→q)→(q∨p), and (q→r)→((p∨q)→(p∨r)), plus Substitution and Modus Ponens rules.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by GE Hughes/M Cresswell - An Introduction to Modal Logic Ch.1
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]
     Full Idea: The axiom of Reducibility ...is crucial in the reduction of classes to logic, ...and seems to be a quite legitimate logical notion for Russell.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913]) by Bernard Linsky - Russell's Metaphysical Logic 6.4
     A reaction: This is an unusual defence of the axiom, which is usually presumed to have been kicked into the long grass by Quine. If one could reduce classes to logic, that would destroy the opposition to logicism in a single neat coup.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]
     Full Idea: Russell adduces two reasons against the extensional view of classes, namely the existence of the null class (which cannot very well be a collection), and the unit classes (which would have to be identical with their single elements).
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Stewart Shapiro - Structure and Ontology p.459
     A reaction: Gödel believes in the reality of classes. I have great sympathy with Russell, when people start to claim that sets are not just conveniences to help us think about things, but actual abstract entities. Is the singleton of my pencil is on this table?
We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
     Full Idea: Classes, so far as we introduce them, are merely symbolic or linguistic conveniences, not genuine objects.
     From: B Russell/AN Whitehead (Principia Mathematica [1913], p.72), quoted by Penelope Maddy - Naturalism in Mathematics III.2
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 / B. Logical Consequence / 7. Strict Implication
Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead]
     Full Idea: Russell call 'if...then' implication, when the material conditional is a much better account; C.I.Lewis (in founding modern modal logic) preserved Russell's confusion by creating 'strict implication', and called that implication.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913]) by Willard Quine - Reply to Professor Marcus p.177
     A reaction: [A compession of Quine's paragraph]. All of this assumes that logicians can give an accurate account of what if...then means, when ordinary usage is broad and vague. Strict implication seems to drain all the normal meaning out of 'if...then'.
Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead]
     Full Idea: In Mr Russell's idea of implication, if twenty random sentences from a newspaper were put in a hat, and two of them drawn at random, one will certainly imply the other, and it is an even bet the implication will be mutual.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913]) by C.I. Lewis - A Pragmatic Conception of the A Priori p.366
     A reaction: This sort of lament leads modern logicians to suggest 'relevance' as an important criterion. It certainly seems odd that so-called 'classical logic' should contain a principle so at variance with everyday reasoning.
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B]
     Full Idea: Russell did not view logic as an uninterpreted calculus awaiting interpretations [the modern view]. Rather, logic is a single 'interpreted' body of a priori truths, of propositions rather than sentence forms - but maximally general and topic neutral.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Bernard Linsky - Russell's Metaphysical Logic 1
     A reaction: This is the view which Wittgenstein challenged, saying logic is just conventional. Linsky claims that Russell's logicism is much more plausible, once you understand his view of logic.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel]
     Full Idea: In 'Principia' a young science was enriched with a new abstract theory of relations, ..and not only Cantor's set theory but also ordinary arithmetic and the theory of measurement are treated from this abstract relational standpoint.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Kurt Gödel - Russell's Mathematical Logic p.448
     A reaction: I presume this is accounting for relations in terms of ordered sets.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro]
     Full Idea: For Russell the real number 2 is the class of rationals less than 2 (i.e. 2/1). ...Notice that on this definition, real numbers are classes of rational numbers.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Stewart Shapiro - Thinking About Mathematics 5.2
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock]
     Full Idea: Although Russell takes numbers to be certain classes, his 'no-class' theory then eliminates all mention of classes in favour of the 'propositional functions' that define them; and in the case of the numbers these just are the numerical quantifiers.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by David Bostock - Philosophy of Mathematics 9.B.4
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes]
     Full Idea: Russell and Whitehead took arithmetic to be higher-order logic, ..and came close to identifying numbers with numerical quantifiers.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Harold Hodes - Logicism and Ontological Commits. of Arithmetic p.148
     A reaction: The point here is 'higher-order'.
Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend]
     Full Idea: Unlike Frege, Russell and Whitehead were not realists about mathematical objects, and whereas Frege thought that only arithmetic and analysis are branches of logic, they think the vast majority of mathematics (including geometry) is essentially logical.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Michèle Friend - Introducing the Philosophy of Mathematics 3.1
     A reaction: If, in essence, Descartes reduced geometry to algebra (by inventing co-ordinates), then geometry ought to be included. It is characteristic of Russell's hubris to want to embrace everything.
'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead]
     Full Idea: What is missing, above all, in 'Principia', is a precise statement of the syntax of the formalism.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913]) by Kurt Gödel - Russell's Mathematical Logic p.448
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The ramified theory of types used propositional functions, and covered bound variables [Russell/Whitehead, by George/Velleman]
     Full Idea: Russell and Whitehead's ramified theory of types worked not with sets, but with propositional functions (similar to Frege's concepts), with a more restrictive assignment of variables, insisting that bound, as well as free, variables be of lower type.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.3
     A reaction: I don't fully understand this (and no one seems much interested any more), but I think variables are a key notion, and there is something interesting going on here. I am intrigued by ordinary language which behaves like variables.
The Russell/Whitehead type theory was limited, and was not really logic [Friend on Russell/Whitehead]
     Full Idea: The Russell/Whitehead type theory reduces mathematics to a consistent founding discipline, but is criticised for not really being logic. They could not prove the existence of infinite sets, and introduced a non-logical 'axiom of reducibility'.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913]) by Michèle Friend - Introducing the Philosophy of Mathematics 3.6
     A reaction: To have reduced most of mathematics to a founding discipline sounds like quite an achievement, and its failure to be based in pure logic doesn't sound too bad. However, it seems to reduce some maths to just other maths.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
In 'Principia Mathematica', logic is exceeded in the axioms of infinity and reducibility, and in the domains [Bernays on Russell/Whitehead]
     Full Idea: In the system of 'Principia Mathematica', it is not only the axioms of infinity and reducibility which go beyond pure logic, but also the initial conception of a universal domain of individuals and of a domain of predicates.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913], p.267) by Paul Bernays - On Platonism in Mathematics p.267
     A reaction: This sort of criticism seems to be the real collapse of the logicist programme, rather than Russell's paradox, or Gödel's Incompleteness Theorems. It just became impossible to stick strictly to logic in the reduction of arithmetic.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Russell and Whitehead consider the paradoxes to indicate that we create mathematical reality [Russell/Whitehead, by Friend]
     Full Idea: Russell and Whitehead are particularly careful to avoid paradox, and consider the paradoxes to indicate that we create mathematical reality.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Michèle Friend - Introducing the Philosophy of Mathematics 3.1
     A reaction: This strikes me as quite a good argument. It is certainly counterintuitive that reality, and abstractions from reality, would contain contradictions. The realist view would be that we have paradoxes because we have misdescribed the facts.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
To avoid vicious circularity Russell produced ramified type theory, but Ramsey simplified it [Russell/Whitehead, by Shapiro]
     Full Idea: Russell insisted on the vicious circle principle, and thus rejected impredicative definitions, which resulted in an unwieldy ramified type theory, with the ad hoc axiom of reducibility. Ramsey's simpler theory was impredicative and avoided the axiom.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Stewart Shapiro - Thinking About Mathematics 5.2
     A reaction: Nowadays the theory of types seems to have been given up, possibly because it has no real attraction if it lacks the strict character which Russell aspired to.
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.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM]
     Full Idea: Trivially, the Identity of Indiscernibles says that two individuals, Castor and Pollux, cannot have all properties in common. For Castor must have the properties of being identical with Castor and not being identical with Pollux, which Pollux can't share.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913], I p.57) by Robert Merrihew Adams - Primitive Thisness and Primitive Identity 2
     A reaction: I suspect that either the property of being identical with itself is quite vacuous, or it is parasytic on primitive identity, or it is the criterion which is actually used to define identity. Either way, I don't find this claim very illuminating.
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.
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel]
     Full Idea: By analyzing the paradoxes to which Cantor's set theory had led, ..Russell brought to light the amazing fact that our logical intuitions (concerning such notions as truth, concept, being, class) are self-contradictory.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Kurt Gödel - Russell's Mathematical Logic p.452
     A reaction: The main intuition that failed was, I take it, that every concept has an extension, that is, there are always objects which will or could fall under the concept.
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 / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
The multiple relations theory says assertions about propositions are about their ingredients [Russell/Whitehead, by Linsky,B]
     Full Idea: The multiple relations theory of judgement proposes that assertions about propositions are dependent upon genuine facts involving belief and other attitude relations, subjects of those attitudes, and the constituents of the belief.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Bernard Linsky - Russell's Metaphysical Logic 7.2
     A reaction: This seems to require a commitment to universals (especially relations) with which we can be directly acquainted. I prefer propositions, but as mental entities, not platonic entities.
A judgement is a complex entity, of mind and various objects [Russell/Whitehead]
     Full Idea: When a judgement occurs, there is a certain complex entity, composed of the mind and the various objects of the judgement.
     From: B Russell/AN Whitehead (Principia Mathematica [1913], p.44)
     A reaction: This is Russell's multiple-relation theory of judgement, which replaced his earlier belief in unified propositions (now 'false abstractions'). He seems to have accepted Locke's view, that the act of judgement produces the unity.
The meaning of 'Socrates is human' is completed by a judgement [Russell/Whitehead]
     Full Idea: When I judge 'Socrates is human', the meaning is completed by the act of judging.
     From: B Russell/AN Whitehead (Principia Mathematica [1913], p.44), quoted by Michael Morris - Guidebook to Wittgenstein's Tractatus
     A reaction: Morris says this is Russell's multiple-relations theory of judgement. The theory accompanies the rejection of the concept of the unified proposition. When I hear 'Socrates had a mole on his shoulder' I get the meaning without judging.
The multiple relation theory of judgement couldn't explain the unity of sentences [Morris,M on Russell/Whitehead]
     Full Idea: When Russell moved to his multiple relation theory of judgement …he then faced difficulties making sense of the unity of sentences.
     From: comment on B Russell/AN Whitehead (Principia Mathematica [1913], p.44) by Michael Morris - Guidebook to Wittgenstein's Tractatus 3A
     A reaction: Roughly, he seems committed to saying that there is only unity if you think there is unity; there is no unity in a sentence prior to the act of judgement.
Only the act of judging completes the meaning of a statement [Russell/Whitehead]
     Full Idea: When I judge 'Socrates is human', the meaning is completed by the act of judging, and we no longer have an incomplete symbol.
     From: B Russell/AN Whitehead (Principia Mathematica [1913], p.44), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap
     A reaction: Personally I would have thought that you needed to know the meaning properly before you could make the judgement, but then he is Bertrand Russell and I'm not.
19. Language / D. Propositions / 3. Concrete Propositions
Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead]
     Full Idea: A 'proposition', in the sense in which a proposition is supposed to be the object of a judgement, is a false abstraction, because a judgement has several objects, not one.
     From: B Russell/AN Whitehead (Principia Mathematica [1913], p.44), quoted by Michael Morris - Guidebook to Wittgenstein's Tractatus 2E
     A reaction: This is the rejection of the 'Russellian' theory of propositions, in favour of his multiple-relations theory of judgement. But why don't the related objects add up to a proposition about a state of affairs?
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
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.