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All the ideas for 'fragments/reports', 'The World as Will and Idea' and 'Naturalism in Mathematics'

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70 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy considers only the universal, in nature as everywhere else [Schopenhauer]
     Full Idea: Philosophy considers only the universal, in nature as everywhere else.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II 027)
     A reaction: I think what draws people to philosophy is an interest in whatever is timeless. Contingent reality is so frustrating and exhausting. Hence I agree.
Everyone is conscious of all philosophical truths, but philosophers bring them to conceptual awareness [Schopenhauer]
     Full Idea: Every person is conscious of all philosophical truths, but to bring them to conceptual awareness, to reflection, is the business of the philosopher.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.68)
     A reaction: I like this. All human beings are philosophical. It seems unlikely, though, that we are all pre-conceptually conscious of the higher levels of philosophical logic.
1. Philosophy / D. Nature of Philosophy / 8. Humour
Absurdity is incongruity between correct and false points of view [Schopenhauer]
     Full Idea: The more correct the subsumption of objects from one point of view, and the greater and more glaring the incongruity from another point of view, the greater is the ludicrous effect which is produced by this contrast.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 013), quoted by Roger Scruton - Laughter §5
     A reaction: This accounts for ludicrous humour, but there seem to be plenty of other types. Exceptional stupidity is usually amusing without necessarily being incongruous. Though it is a departure from the sensible norm.
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Metaphysics must understand the world thoroughly, as a principal source of knowledge [Schopenhauer]
     Full Idea: The task of metaphysics is not to pass over experience in which the world exists, but to understand it thoroughly, since inner and outer experience are certainly the principal source of all knowledge.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 428), quoted by Christopher Janaway - Schopenhauer 3 'Will'
     A reaction: I wonder to what extent he meant ordinary experience, and to what extent he was advocating the study if science?
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
'Forcing' can produce new models of ZFC from old models [Maddy]
     Full Idea: Cohen's method of 'forcing' produces a new model of ZFC from an old model by appending a carefully chosen 'generic' set.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.4)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
A Large Cardinal Axiom would assert ever-increasing stages in the hierarchy [Maddy]
     Full Idea: A possible axiom is the Large Cardinal Axiom, which asserts that there are more and more stages in the cumulative hierarchy. Infinity can be seen as the first of these stages, and Replacement pushes further in this direction.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.5)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Axiom of Infinity: completed infinite collections can be treated mathematically [Maddy]
     Full Idea: The axiom of infinity: that there are infinite sets is to claim that completed infinite collections can be treated mathematically. In its standard contemporary form, the axioms assert the existence of the set of all finite ordinals.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.3)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
The Axiom of Foundation says every set exists at a level in the set hierarchy [Maddy]
     Full Idea: In the presence of other axioms, the Axiom of Foundation is equivalent to the claim that every set is a member of some Vα.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.3)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Axiom of Reducibility: propositional functions are extensionally predicative [Maddy]
     Full Idea: The Axiom of Reducibility states that every propositional function is extensionally equivalent to some predicative proposition function.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
'Propositional functions' are propositions with a variable as subject or predicate [Maddy]
     Full Idea: A 'propositional function' is generated when one of the terms of the proposition is replaced by a variable, as in 'x is wise' or 'Socrates'.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1)
     A reaction: This implies that you can only have a propositional function if it is derived from a complete proposition. Note that the variable can be in either subject or in predicate position. It extends Frege's account of a concept as 'x is F'.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Completed infinities resulted from giving foundations to calculus [Maddy]
     Full Idea: The line of development that finally led to a coherent foundation for the calculus also led to the explicit introduction of completed infinities: each real number is identified with an infinite collection of rationals.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.3)
     A reaction: Effectively, completed infinities just are the real numbers.
Cantor and Dedekind brought completed infinities into mathematics [Maddy]
     Full Idea: Both Cantor's real number (Cauchy sequences of rationals) and Dedekind's cuts involved regarding infinite items (sequences or sets) as completed and subject to further manipulation, bringing the completed infinite into mathematics unambiguously.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1 n39)
     A reaction: So it is the arrival of the real numbers which is the culprit for lumbering us with weird completed infinites, which can then be the subject of addition, multiplication and exponentiation. Maybe this was a silly mistake?
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Infinity has degrees, and large cardinals are the heart of set theory [Maddy]
     Full Idea: The stunning discovery that infinity comes in different degrees led to the theory of infinite cardinal numbers, the heart of contemporary set theory.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1)
     A reaction: It occurs to me that these huge cardinals only exist in set theory. If you took away that prop, they would vanish in a puff.
For any cardinal there is always a larger one (so there is no set of all sets) [Maddy]
     Full Idea: By the mid 1890s Cantor was aware that there could be no set of all sets, as its cardinal number would have to be the largest cardinal number, while his own theorem shows that for any cardinal there is a larger.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1)
     A reaction: There is always a larger cardinal because of the power set axiom. Some people regard that with suspicion.
An 'inaccessible' cardinal cannot be reached by union sets or power sets [Maddy]
     Full Idea: An 'inaccessible' cardinal is one that cannot be reached by taking unions of small collections of smaller sets or by taking power sets.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.5)
     A reaction: They were introduced by Hausdorff in 1908.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Theorems about limits could only be proved once the real numbers were understood [Maddy]
     Full Idea: Even the fundamental theorems about limits could not [at first] be proved because the reals themselves were not well understood.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: This refers to the period of about 1850 (Weierstrass) to 1880 (Dedekind and Cantor).
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
The extension of concepts is not important to me [Maddy]
     Full Idea: I attach no decisive importance even to bringing in the extension of the concepts at all.
     From: Penelope Maddy (Naturalism in Mathematics [1997], §107)
     A reaction: He almost seems to equate the concept with its extension, but that seems to raise all sorts of questions, about indeterminate and fluctuating extensions.
In the ZFC hierarchy it is impossible to form Frege's set of all three-element sets [Maddy]
     Full Idea: In the ZFC cumulative hierarchy, Frege's candidates for numbers do not exist. For example, new three-element sets are formed at every stage, so there is no stage at which the set of all three-element sets could he formed.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: Ah. This is a very important fact indeed if you are trying to understand contemporary discussions in philosophy of mathematics.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
Frege solves the Caesar problem by explicitly defining each number [Maddy]
     Full Idea: To solve the Julius Caesar problem, Frege requires explicit definitions of the numbers, and he proposes his well-known solution: the number of Fs = the extension of the concept 'equinumerous with F' (based on one-one correspondence).
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1)
     A reaction: Why do there have to be Fs before there can be the corresponding number? If there were no F for 523, would that mean that '523' didn't exist (even if 522 and 524 did exist)?
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Making set theory foundational to mathematics leads to very fruitful axioms [Maddy]
     Full Idea: The set theory axioms developed in producing foundations for mathematics also have strong consequences for existing fields, and produce a theory that is immensely fruitful in its own right.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: [compressed] Second of Maddy's three benefits of set theory. This benefit is more questionable than the first, because the axioms may be invented because of their nice fruit, instead of their accurate account of foundations.
Unified set theory gives a final court of appeal for mathematics [Maddy]
     Full Idea: The single unified area of set theory provides a court of final appeal for questions of mathematical existence and proof.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: Maddy's third benefit of set theory. 'Existence' means being modellable in sets, and 'proof' means being derivable from the axioms. The slightly ad hoc character of the axioms makes this a weaker defence.
Set theory brings mathematics into one arena, where interrelations become clearer [Maddy]
     Full Idea: Set theoretic foundations bring all mathematical objects and structures into one arena, allowing relations and interactions between them to be clearly displayed and investigated.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: The first of three benefits of set theory which Maddy lists. The advantages of the one arena seem to be indisputable.
Mathematics rests on the logic of proofs, and on the set theoretic axioms [Maddy]
     Full Idea: Our much loved mathematical knowledge rests on two supports: inexorable deductive logic (the stuff of proof), and the set theoretic axioms.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I Intro)
Identifying geometric points with real numbers revealed the power of set theory [Maddy]
     Full Idea: The identification of geometric points with real numbers was among the first and most dramatic examples of the power of set theoretic foundations.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: Hence the clear definition of the reals by Dedekind and Cantor was the real trigger for launching set theory.
The line of rationals has gaps, but set theory provided an ordered continuum [Maddy]
     Full Idea: The structure of a geometric line by rational points left gaps, which were inconsistent with a continuous line. Set theory provided an ordering that contained no gaps. These reals are constructed from rationals, which come from integers and naturals.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.2)
     A reaction: This completes the reduction of geometry to arithmetic and algebra, which was launch 250 years earlier by Descartes.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Maybe applications of continuum mathematics are all idealisations [Maddy]
     Full Idea: It could turn out that all applications of continuum mathematics in natural sciences are actually instances of idealisation.
     From: Penelope Maddy (Naturalism in Mathematics [1997], II.6)
Scientists posit as few entities as possible, but set theorist posit as many as possible [Maddy]
     Full Idea: Crudely, the scientist posits only those entities without which she cannot account for observations, while the set theorist posits as many entities as she can, short of inconsistency.
     From: Penelope Maddy (Naturalism in Mathematics [1997], II.5)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
We can get arithmetic directly from HP; Law V was used to get HP from the definition of number [Maddy]
     Full Idea: Recent commentators have noted that Frege's versions of the basic propositions of arithmetic can be derived from Hume's Principle alone, that the fatal Law V is only needed to derive Hume's Principle itself from the definition of number.
     From: Penelope Maddy (Naturalism in Mathematics [1997], I.1)
     A reaction: Crispin Wright is the famous exponent of this modern view. Apparently Charles Parsons (1965) first floated the idea.
7. Existence / A. Nature of Existence / 2. Types of Existence
Matter and intellect are inseparable correlatives which only exist relatively, and for each other [Schopenhauer]
     Full Idea: In my system matter and intellect are inseparable correlatives which exist only for each other, and so exist only relatively.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I.Supp)
     A reaction: A plausible picture, but built from dualist presuppositions. Personally I think intellect is built out of matter, so I am not going down Schopenhauer's road.
7. Existence / D. Theories of Reality / 3. Reality
Schopenhauer, unlike other idealists, says reality is irrational [Schopenhauer, by Lewis,PB]
     Full Idea: Schopenhauer radically departs from his fellow idealists in his assertion of the irrational character of reality.
     From: report of Arthur Schopenhauer (The World as Will and Idea [1819]) by Peter B. Lewis - Schopenhauer 4
     A reaction: This is the rejection of the original confidence about rationality of the stoics. And yet Schopenauer saw the principle of sufficient reason as axiomatic. Not sure how to reconcile those. Lewis identifies this idea as 'Romantic'.
7. Existence / D. Theories of Reality / 4. Anti-realism
The knowing subject and the crude matter of the world are both in themselves unknowable [Schopenhauer]
     Full Idea: The world has two poles - the knowing subject and crude matter, which are both completely unknowable, the former because it is the knower, the latter because without form and quality it cannot be perceived.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I Supp)
     A reaction: A nice concept, that all of reality comes from their relationship, but the two components are intrinsically unknowable. Does God the Knower know his own mind?
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
The theoretical indispensability of atoms did not at first convince scientists that they were real [Maddy]
     Full Idea: The case of atoms makes it clear that the indispensable appearance of an entity in our best scientific theory is not generally enough to convince scientists that it is real.
     From: Penelope Maddy (Naturalism in Mathematics [1997], II.6)
     A reaction: She refers to the period between Dalton and Einstein, when theories were full of atoms, but there was strong reluctance to actually say that they existed, until the direct evidence was incontrovertable. Nice point.
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
Descartes found the true beginning of philosophy with the Cogito, in the consciousness of the individual [Schopenhauer]
     Full Idea: By taking Cogito Ergo Sum as the only certainty, and by his provisionally regarding the existence of the world as problematical, the essential starting point of all philosophy was found, and its true focus in the subjective, the individual consciousness.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I Supp)
     A reaction: Some people think this was a disaster, not a triumph. Descartes could have doubted himself and accepted the world as his starting point.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Schopenhauer can't use force/energy instead of 'will', because he is not a materialist [Lewis,PB on Schopenhauer]
     Full Idea: Some say Schopenhauer would be less misunderstood if he had used 'force' or 'energy' rather than 'will' to characterise inner natures. But this would have steered his idealism towards materialism, of which he was an avowed opponent.
     From: comment on Arthur Schopenhauer (The World as Will and Idea [1819]) by Peter B. Lewis - Schopenhauer 4
     A reaction: I presume therefore that Nietzsche's will to power is a commitment to materialism, since it occurs in material objects as well as minds.
The world only exists in relation to something else, as an idea of the one who conceives it [Schopenhauer]
     Full Idea: The world which surrounds man exists only as idea - that is, only in relation to something else, the one who conceives the idea, which is himself. If any truth can be enunciated a priori, it is this.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 001)
     A reaction: Yes, but the idea we have is of a real world. It is definitely not part of the idea that it is an idea (unlike my idea for a Christmas present).
We know reality because we know our own bodies and actions [Schopenhauer]
     Full Idea: The double knowledge of the nature and action of our own body is the key to the inner being of every phenomenon in nature.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 105), quoted by Peter B. Lewis - Schopenhauer 4
     A reaction: Lewis calls this 'the heart of his philosophy'. Bodily awareness comes from acts of willing. So Lewis says 'the thing-in-itself is revealed to us in willing'. We experience Being and causation. Is he trying to combine idealism with the thing-in-itself?
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Kant rightly separates appearance and thing-in-itself [Schopenhauer]
     Full Idea: Kant's greatest merit is the distinction of the phenomenon from the thing-in-itself.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 417 App), quoted by Peter B. Lewis - Schopenhauer 3
     A reaction: This is Schopenhauer firmly opposing the Absolute Idealism of Kant's successors, who dismissed the 'thing-in-itsef'.
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Direct feeling of the senses are merely data; perception of the world comes with understanding causes [Schopenhauer]
     Full Idea: What the eye, the ear, or the hand feels, is not perception, it is merely data. Only when the understanding passes from the effect to the cause does the world lie before us as perception extended in space.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 004)
     A reaction: These certainly seems to be a sense-data theory. Philosophers are much more ready to separate the data from the understanding than neuroscientists are.
12. Knowledge Sources / B. Perception / 5. Interpretation
All perception is intellectual [Schopenhauer]
     Full Idea: All perception is intellectual.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 004)
     A reaction: Even in slugs? I suspect that this is a tautology. Schopenhauer will only allow my vision or hearing to become 'perception' when an intellectual element enters into it.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
A consciousness without an object is no consciousness [Schopenhauer]
     Full Idea: A consciousness without an object is no consciousness.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I Supp)
     A reaction: This hints at Hume's observations about the self. Certainly totally vacant consciousness seems inconceivable, but is that a necessary or a contingent truth?
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
We have hidden and unadmitted desires and fears, suppressed because of vanity [Schopenhauer]
     Full Idea: We often do not know what we desire or fear. For years we can have a desire without admitting it to ourselves ....because the intellect is not to know anything about it, since the good opinion we have of ourselves would inevitably suffer thereby.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II 210), quoted by Christopher Janaway - Schopenhauer 5 'Will'
     A reaction: The idea of unconscious thought crept up well before Freud. It is in La Rochefoucauld, and important in Nietzsche. Neuroscience seems to give it a strong priority over the conscious mind, which is a revolutionary idea.
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Science idealises the earth's surface, the oceans, continuities, and liquids [Maddy]
     Full Idea: In science we treat the earth's surface as flat, we assume the ocean to be infinitely deep, we use continuous functions for what we know to be quantised, and we take liquids to be continuous despite atomic theory.
     From: Penelope Maddy (Naturalism in Mathematics [1997], II.6)
     A reaction: If fussy people like scientists do this all the time, how much more so must the confused multitude be doing the same thing all day?
16. Persons / C. Self-Awareness / 2. Knowing the Self
I know both aspects of my body, as representation, and as will [Schopenhauer]
     Full Idea: My body is the only object of which I know not merely the one side, that of the representation, but also the other, that is called 'will'.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 125), quoted by Christopher Janaway - Schopenhauer 3 'Will'
     A reaction: I'm not convinced that knowledge of the body through the will (and action, presumably) constitutes a different sort of knowledge. Philosophers are always trying to split the world in two (but not Nietzsche!).
16. Persons / E. Rejecting the Self / 4. Denial of the Self
It is as perverse to resent our individuality being replaced by others, as to resent the body renewing itself [Schopenhauer]
     Full Idea: It is as perverse to desire the continuity of one's individuality which is being replaced by other individuals, as to desire the permanence of the body's substance which is always being replaced by new substance.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.54)
     A reaction: If I let that go, what am I supposed to hang on to? Nothing? Non-existence is not an attractive condition to aspire to.
16. Persons / F. Free Will / 5. Against Free Will
We all regard ourselves a priori as free, but see from experience that character and motive compel us [Schopenhauer]
     Full Idea: Everyone regards himself a priori as free in his individual actions, and only a posteriori sees that necessarily his actions follow from the coincidence of character with motives.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.55)
     A reaction: I'm not sure what experience shows. Necessity seems more obvious when observing other people. Samuel Johnson said experience showed freedom, not necessity.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Man's actions are not free, because they follow strictly from impact of motive on character [Schopenhauer]
     Full Idea: Man's action have been interpreted as free, which they are not, for every individual action follows with strict necessity from the impact of motive on character.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II 023)
     A reaction: If 'character is fate' (Heraclitus) then presumably motive must also be fate to complete the determinist picture. I shall spend the next year redesigning my motivation.
20. Action / A. Definition of Action / 4. Action as Movement
Every true act of will is also at once and without exception a movement of the body [Schopenhauer]
     Full Idea: Every true act of will is also at once and without exception a movement of the body.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II 018)
     A reaction: The word 'act' seems to beg the question (as does 'true'!). I am no longer sure that I know what an act of will is. Hobbes says there is no such thing.
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Schopenhauer was caught in Christian ideals, because he didn't deify his 'will' [Nietzsche on Schopenhauer]
     Full Idea: Schopenhauer's interpretation of the in-itself as will was an essential step: but he didn't know how to deify the will, and remained caught in the moral, Christian ideal
     From: comment on Arthur Schopenhauer (The World as Will and Idea [1819]) by Friedrich Nietzsche - Writings from Late Notebooks 9[42]
     A reaction: Intriguingly, this seems to suggest that Nietzsche consciously sought to replace the absence of God with the human will, which strikes me as an odd, and very nineteenth century, idea. Loss of religion bothered them a lot.
Only the will is thing-in-itself, seen both in blind nature and in human action [Schopenhauer]
     Full Idea: Only the will is thing-in-itself. ...It appears in every blindly acting force of nature, and also in the deliberate conduct of man, and the great difference between the two concerns only the degree of the manifestation.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 110), quoted by Christopher Janaway - Schopenhauer 3 'Will'
     A reaction: If will acts 'blindly' in forces of nature, then these seems to be the same concept as Nietzsche's 'will to power'. This seems to be heading towards Heidegger's Dasein, as a central and distinctive mode of being.
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
If we were essentially intellect rather than will, our moral worth would depend on imagined motives [Schopenhauer]
     Full Idea: If, as all philosophers imagine, the intellect is our actual nature and the will is arrived at through knowledge, then only the motive from which we imagined we were acting would decide our moral worth. Imagined and true motive would be indistinguishable.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II Supp)
     A reaction: A nice argument. If motive is morally decisive, it is certainly crucial to decide between real and imagined motive (especially since Freud). But uncontrollable motive seems morally irrelevant.
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Schopenhauer is a chief proponent of aesthetic experience as 'disinterested' [Schopenhauer, by Janaway]
     Full Idea: Schopenhauer belongs to a tradition which equates aesthetic experience with a 'disinterested' attitude towards its object, and is often cited as one of the chief proponents of such a view.
     From: report of Arthur Schopenhauer (The World as Will and Idea [1819]) by Christopher Janaway - Schopenhauer 6 'Aesthetic'
     A reaction: 'Disinterested' is quite a nice word for one's attitude to art, though you then have to capture why you are also involved in it.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
A principal pleasure of the beautiful is that it momentarily silences the will [Schopenhauer]
     Full Idea: The momentary silencing of all volition …is one of the principal elements in our pleasure in the beautiful.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.65)
     A reaction: Iris Murdoch sees moral value in beauty, because it overrides selfishness. The perception of beauty is certainly something deeper than just another nice feeling. There is a cognitive element to it.
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
The Sublime fights for will-less knowing, when faced with a beautiful threat to humanity [Schopenhauer, by Lewis,PB]
     Full Idea: Exaltation of the Sublime is the struggle to maintain will-less knowing in the face of a threat to the human will. The Sublime contains an awful beauty and a delightful terror because it includes a threat to human existence.
     From: report of Arthur Schopenhauer (The World as Will and Idea [1819], I 201-7) by Peter B. Lewis - Schopenhauer 5
     A reaction: Can you experience the Sublime when looking down a microscope? Can a mere theory in cosmology be sublime? Can a supposed perception of the Sublime ever be incorrect? We no longer worry about these questions, it seems.
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Schopenhauer emphasises Ideas in art, unlike most romantics [Schopenhauer, by Lewis,PB]
     Full Idea: The emphasis on the presentation of Platonic Ideas distinguishes Schopenhauer's theory of art from standard Romantic theories, which emphasize the expression of emotion and feeling.
     From: report of Arthur Schopenhauer (The World as Will and Idea [1819], II) by Peter B. Lewis - Schopenhauer 5
     A reaction: Theories of art that neglect ideas, even if subliminally expressed, have gone badly wrong.
21. Aesthetics / C. Artistic Issues / 6. Value of Art
The will-less contemplation of art brings a liberation from selfhood [Schopenhauer, by Gardner]
     Full Idea: For Schopenhauer, the point of art lies in the metaphysical liberation from selfhood that will-less aesthetic contemplation induces.
     From: report of Arthur Schopenhauer (The World as Will and Idea [1819]) by Sebastian Gardner - Aesthetics 3.6.3
     A reaction: I've never understood why anyone (Buddhists included) would want 'liberation from selfhood'. Certainly art can make us forget ourselves in a more objective view of things, but science can do that too.
Man is more beautiful than anything else, and the loftiest purpose of art is to reveal his nature [Schopenhauer]
     Full Idea: Man is more beautiful than anything else, and the loftiest purpose of art is to reveal his nature.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], III 41)
     A reaction: A bit of a shock, because it implies human vanity, but it fits the best works of art rather well. What else reveals humanity's beauty? Beautiful deeds must be recorded.
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 / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics
The only aim of our existence is to grasp that non-existence would be better [Schopenhauer]
     Full Idea: Nothing else can be stated as the aim of our existence except the knowledge that it would be better for us not to exist.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II 605), quoted by Christopher Janaway - Schopenhauer 8 'Denial'
     A reaction: Nonsense on stilts. Nietzsche rebelled against this. If there is such 'knowledge' then it obviously has nothing to do with the aim of our existence. It is just a rejection of aims. The aim is making the best of existence, not spurning it.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
We should no more expect ethical theory to produce good people than aesthetics to produce artists [Schopenhauer]
     Full Idea: We should be just as foolish to expect that our moral systems and ethics would create virtuous, noble and hold men, as that our aesthetics would produce poets, painterd and musicians.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 271), quoted by Christopher Janaway - Schopenhauer 7 'Against'
     A reaction: Presumably the aim of ethical theory is to understand the truths about ethics. That can't do any harm, can it? In every other area of life we think that understanding leads to improvement. Unless, of course, there are no truths of ethics....
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Every good is essentially relative, for it has its essential nature only in its relation to a desiring will [Schopenhauer]
     Full Idea: Every good is essentially relative, for it has its essential nature only in its relation to a desiring will.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.65)
     A reaction: A nice way of stating the core of moral relativism. To me, though, it just seems a rejection of morality. Conflicting wills bring moral paralysis. Might is right.
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Will casts aside each of its temporary fulfilments, so human life has no ultimate aim [Schopenhauer, by Scruton]
     Full Idea: Since for Schopenhauer will has no intrinsic end, but breaks through all its temporary fulfilments and casts them aside as irrelevant once attained, it becomes impossible to assert that there is any ultimate aim to human activity.
     From: report of Arthur Schopenhauer (The World as Will and Idea [1819]) by Roger Scruton - Short History of Modern Philosophy Ch.13
     A reaction: This sums up part of the modern anti-teleological view of life, with its notion of purposes which can only arise out of consciousnesses. Such a view leaves untouched the key question, which is "What should I will?"
22. Metaethics / B. Value / 2. Values / e. Death
Most people would probably choose non-existence at the end of their life, rather than relive the whole thing [Schopenhauer]
     Full Idea: Perhaps no one at the end of his life, if he gives the matter sober consideration and is, at the same time, frank, ever wishes to live it over again; he more readily chooses non-existence.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.59)
     A reaction: Hence Nietzsche's doctrine of 'eternal return' (Gay Science §341, idea 2936). From Schopenhauer it is just bleak pessimism, but from Nietzsche it is a wonderful challenge to live, perhaps the best ever.
22. Metaethics / B. Value / 2. Values / f. Altruism
Altruistic people make less distinction than usual between themselves and others [Schopenhauer]
     Full Idea: If we observe an altruistic action the simplest explanation and the essential character of the person's conduct is that they make less distinction than is usually made between themselves and others.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.66)
     A reaction: Obvious, really, but Schopenhauer is talking about the will. Is the effacement of the Self desirable, apart from the benefit it might bring to other people. I don't find it appealing.
22. Metaethics / B. Value / 2. Values / i. Self-interest
Only self-love can motivate morality, but that also makes it worthless [Schopenhauer]
     Full Idea: A theory of morals which motivates can only do so by working on self-love, but what springs from this latter has no moral worth.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.66)
     A reaction: I just don't believe this pessimism. Schopenhauer was an incipient social darwinist who needed a course in modern game theory. Or he just needed to be a nicer man.
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is the swift movement from desire to satisfaction, and then again on to desire [Schopenhauer]
     Full Idea: We are fortunate if we keep up the game whereby desire passes into satisfaction, and satisfaction into new desire - if the pace of this is swift, it is called happiness, and if it is slow, sorrow.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], II 029)
     A reaction: This seems to be the dream of the addict, as Socrates points out with his example of the leaky jar in 'Gorgias'. Should we want more desires?
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
We can never attain happiness while our will is pursuing desires [Schopenhauer]
     Full Idea: So long as our consciousness is filled by our will, so long as we are given up to the throng of desires with its constant hopes and fears, so long as we are the subject of willing, we never attain lasting happiness or peace.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], I 196), quoted by Christopher Janaway - Schopenhauer 6 'Aesthetic'
     A reaction: I hate this idea. It obviously leads to his Buddhism, and the eastern idea that life is generally a bad idea and to be avoided. I think Nietzsche rebelled strongly against this attitude of Schopenhauer's.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Virtue must spring from an intuitive recognition that other people are essentially like us [Schopenhauer]
     Full Idea: Virtue must spring from that intuitive knowledge which recognises in the individuality of others the same essence as in our own.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.66)
     A reaction: After all his pessimism, he arrives at a view similar to Hume's, that morality is built on natural empathy. But why built a moral theory on one base. Everything points us towards morality! Moral actions are more beautiful.
26. Natural Theory / A. Speculations on Nature / 1. Nature
The essence of nature is the will to life itself [Schopenhauer]
     Full Idea: The essence of nature is the will to life itself.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.60)
     A reaction: How would he have responded to Darwin? The will to life is the product, there, of a different and more remote force, such as the 'energy' of the physicist (whatever that is!).
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christianity is a pessimistic religion, in which the world is equated with evil [Schopenhauer]
     Full Idea: Let no one think that Christianity is conducive to optimism; on the contrary, in the Gospels 'world' and 'evil' are used almost synonymously.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.59)
     A reaction: The source of Nietzsche's 'Beyond Good and Evil'. Do any religions throw you vigorously back into the middle of life, with its conflict and creativity?
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion is the mythical clothing of the truth which is inaccessible to the crude human intellect [Schopenhauer]
     Full Idea: All systems of religion are the mythical clothing of the truth which is inaccessible to the crude human intellect.
     From: Arthur Schopenhauer (The World as Will and Idea [1819], IV.63)
     A reaction: Is this a compliment? It seems to be, because at least the mysteries are identified and given an outward form. A nice thought.