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All the ideas for 'On the Philosophy of Logic', 'Intro to 'Essays on Actions and Events'' and 'Parerga and Paralipomena'

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37 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics studies the inexplicable ends of explanation [Schopenhauer]
     Full Idea: The plummet touches the bottom of the sea now at a greater depth, now at a less, but is bound to reach it somewhere sooner or later; the study of this inexplicable devolves upon metaphysics.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:1)
     A reaction: This definition of metapysics contains the germ of despair about the subject. Does he hope that metaphysicians can explain what nobody else can?
2. Reason / A. Nature of Reason / 1. On Reason
We reach 'reflective equilibrium' when intuitions and theory completely align [Fisher]
     Full Idea: A state of 'reflective equilibrium' is when our theory and our intuitions become completely aligned
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 12.IV)
     A reaction: [Rawls made this concept famous] This is a helpful concept in trying to spell out the ideal which is the dream of believers in 'pure reason' - that there is a goal in which everything comes right. The problem is when people have different intuitions!
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Three-valued logic says excluded middle and non-contradition are not tautologies [Fisher]
     Full Idea: In three-valued logic (L3), neither the law of excluded middle (p or not-p), nor the law of non-contradiction (not(p and not-p)) will be tautologies. If p has the value 'indeterminate' then so will not-p.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 07.I)
     A reaction: I quite accept that the world is full of indeterminate propositions, and that excluded middle and non-contradiction can sometimes be uncertain, but I am reluctant to accept that what is being offered here should be called 'logic'.
4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic
Fuzzy logic has many truth values, ranging in fractions from 0 to 1 [Fisher]
     Full Idea: In fuzzy logic objects have properties to a greater or lesser degree, and truth values are given as fractions or decimals, ranging from 0 to 1. Not-p is defined as 1-p, and other formula are defined in terms of maxima and minima for sets.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 07.II)
     A reaction: The question seems to be whether this is actually logic, or a recasting of probability theory. Susan Haack attacks it. If logic is the study of how truth is preserved as we move between propositions, then 0 and 1 need a special status.
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic is: excluded middle, non-contradiction, contradictions imply all, disjunctive syllogism [Fisher]
     Full Idea: For simplicity, we can say that 'classical logic' amounts to the truth of four sentences: 1) either p or not-p; 2) it is not the case that both p and not-p; 3) from p and not-p, infer q; 4) from p or q and not-p, infer q.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 12.I)
     A reaction: [She says there are many ways of specifying classical logic] Intuition suggests that 2 and 4 are rather hard to dispute, while 1 is ignoring some grey areas, and 3 is totally ridiculous. There is, of course, plenty of support for 3!
5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
Logic formalizes how we should reason, but it shouldn't determine whether we are realists [Fisher]
     Full Idea: Even if one is inclined to be a realist about everything, it is hard to see why our logic should be the determiner. Logic is supposed to formalize how we ought to reason, but whether or not we should be realists is a matter of philosophy, not logic.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 09.I)
     A reaction: Nice to hear a logician saying this. I do not see why talk in terms of an object is a commitment to its existence. We can discuss the philosopher's stone, or Arthur's sword, or the Loch Ness monster, or gravitinos, with degrees of commitment.
7. Existence / D. Theories of Reality / 2. Realism
For me the objective thing-in-itself is the will [Schopenhauer]
     Full Idea: Thing in itself signifies that which exists independently of our perception, that which actually is; …to Kant it was '= x'; to me it is will.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IV:61)
     A reaction: Does he mean his own will, which is plausible since he has direct experience of it, or is he referring will in general - whatever that is?
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
We could make our intuitions about heaps precise with a million-valued logic [Fisher]
     Full Idea: We could construct a 1,000,000-valued logic that would allow our intuitions concerning a heap to vary exactly with the amount of sand in the heap.
     From: Jennifer Fisher (On the Philosophy of Logic [2008])
     A reaction: Presumably only an infinite number of grains of sand would then produce a true heap, and even one grain would count as a bit of a heap, which must both be wrong, so I can't see this helping much.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vagueness can involve components (like baldness), or not (like boredom) [Fisher]
     Full Idea: Vague terms come in at least two different kinds: those whose constituent parts come in discrete packets (bald, rich, red) and those that don't (beauty, boredom, niceness).
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 07.II)
     A reaction: The first group seem to be features of the external world, and the second all occur in the mind. Baldness may be vague, but presumably hairs are (on the whole) not. Nature doesn't care whether someone is actually 'bald' or not.
10. Modality / B. Possibility / 1. Possibility
We can't explain 'possibility' in terms of 'possible' worlds [Fisher]
     Full Idea: Explaining 'it is possible that p' by saying p is true in at least one possible world doesn't get me very far. If I don't understand what possibility is, then appealing to possible worlds is not going to do me much good.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 06.III)
     A reaction: This seems so blatant that I assume friends of possible worlds will have addressed the problem. Note that you will also need to understand 'possible' to define necessity as 'true in all possible worlds'. Necessarily-p is not-possibly-not-p.
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
If all truths are implied by a falsehood, then not-p might imply both q and not-q [Fisher]
     Full Idea: If all truths are implied by a falsehood, then 'if there are no trees in the park then there is no shade' and 'if there are no trees in the park there is plenty of shade' both come out as true. Intuitively, though, the second one is false.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 08.I)
     A reaction: The rule that a falsehood implies all truths must be the weakest idea in classical logic, if it actually implies a contradiction. This means we must take an interest in relevance logics.
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
In relevance logic, conditionals help information to flow from antecedent to consequent [Fisher]
     Full Idea: A good account of relevance logic suggests that a conditional will be true when the flow of information is such that a conditional is the device that helps information to flow from the antecedent to the consequent.
     From: Jennifer Fisher (On the Philosophy of Logic [2008], 08.III)
     A reaction: Hm. 'If you are going out, you'll need an umbrella'. This passes on information about 'out', but also brings in new information. 'If you are going out, I'm leaving you'. What flows is an interpretation of the antecedent. Tricky.
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
Knowledge is not power! Ignorant people possess supreme authority [Schopenhauer]
     Full Idea: Knowledge is power. The devil it is! One man can have a great deal of knowledge without its giving him the least power, while another possesses supreme authority but next to no knowledge.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:43)
     A reaction: He is referring to Bacon's famous adage. Bacon may be right about military affairs, but not about politics.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori propositions are those we could never be seriously motivated to challenge [Schopenhauer]
     Full Idea: A dictate of reason is the name we give to certain propositions which we hold to be true without investigation, and of which we think ourselves so firmly convinced we should be incapable of seriously testing them even if we wanted to.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:12)
     A reaction: This is closer to the cautious way modern thinkers are inclined to express the idea. Even Quine would be reasonably happy with this.
14. Science / D. Explanation / 1. Explanation / a. Explanation
All knowledge and explanation rests on the inexplicable [Schopenhauer]
     Full Idea: The fundament upon which all our knowledge and learning rests is the inexplicable. It is to this that every explanation, through few or many intermediary stages, leads.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:1)
     A reaction: This is obviously true, and the only question is whether it is a necessary or a contingent truth.
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Half our thinking is unconscious, and we reach conclusions while unaware of premises [Schopenhauer]
     Full Idea: One might almost believe that half our thinking takes place unconsciously.. Usually we arrive at a conclusion without having clearly thought about the premises which lead to it.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:40)
     A reaction: Schopenhauer was a major pioneer of this crucial idea. I'm beginning to think it is much greater than a half.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
We don't control our own thinking [Schopenhauer]
     Full Idea: Thoughts come not when we want but when they want.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:37)
     A reaction: One of my favourite Nietzsche ideas originated in Schopenhauer!
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
Cause unites our picture of the universe; without it, mental and physical will separate [Davidson]
     Full Idea: The concept of cause is what holds together our picture of the universe, a picture that would otherwise disintegrate into a diptych of the mental and the physical.
     From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xi)
     A reaction: Davidson seems to be the one who put mental causation at the centre of philosophy. By then denying that there are any 'psycho-physical' laws, he seems to me to have re-opened the metaphysical gap he says he was trying to close.
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
All of our concepts are borrowed from perceptual knowledge [Schopenhauer]
     Full Idea: The entire property of a concept consists in nothing more than what has been begged and borrowed from perceptual knowledge, which is the true and inexhaustible source of all insight.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:9)
     A reaction: Schopenhauer is usually seen as a sort of idealist, but this is a full endorsement of the empirical view of concepts, to which I largely subscribe. Note that he talks of 'knowledge', rather than of 'experience'.
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
The causally strongest reason may not be the reason the actor judges to be best [Davidson]
     Full Idea: I defend my causal view of action by arguing that a reason that is causally strongest need not be a reason deemed by the actor to provide the strongest (best) grounds for acting.
     From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xii)
     A reaction: If I smoke a cigarette against my better judgement, it is not clear to me how the desire to smoke it, which overcomes my judgement not to smoke it, counts as the causally strongest 'reason'. We seem to have two different senses of 'reason' here.
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
The notion of cause is essential to acting for reasons, intentions, agency, akrasia, and free will [Davidson]
     Full Idea: My thesis is that the ordinary notion of cause is essential to understanding what it is to act with a reason, to have an intention to act, to be an agent, to act counter to one's own best judgement, or to act freely.
     From: Donald Davidson (Intro to 'Essays on Actions and Events' [1980], p.xi)
     A reaction: I cautiously agree, particularly with idea that causation is essential to acting as an agent. Since I believe 'free will' to be a complete delusion, that part of his thesis doesn't interest me. The hard part is understanding acting for a reason.
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics concerns how we can take pleasure in an object, with no reference to the will [Schopenhauer]
     Full Idea: The central problem of aesthetics is how satisfaction with and pleasure in an object are possible without any reference thereof to our willing.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], II:415), quoted by Christopher Janaway - Schopenhauer 6 'Aesthetic'
     A reaction: This does seem a good distinction. We can divide pleasures into willed and unwilled. Compare thinking that some remote stranger (in a photograph) is very beautiful, with falling in love with someone.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The beautiful is a perception of Plato's Forms, which eliminates the will [Schopenhauer]
     Full Idea: In the beautiful we always perceive the intrinsic and primary form of animate and inanimate nature, that is to say Plato's Ideas thereof. …When an aesthetic perception occurs the will completely vanishes from consciousness.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XIX:205)
     A reaction: An essential Schopenauer idea. Iris Murdoch said something similar.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Man is essentially a dreadful wild animal [Schopenhauer]
     Full Idea: Man is at bottom a dreadful wild animal.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:114)
     A reaction: As an example he cites the slave owners in the United States.
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Pleasure is weaker, and pain stronger, than we expect [Schopenhauer]
     Full Idea: As a rule we find pleasure much less pleasurable, pain much more painful than we expected.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XII:149)
     A reaction: Never go on holiday with Schopenhauer. This is more accurate about pain, I think.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
A man's character can be learned from a single characteristic action [Schopenhauer]
     Full Idea: As a botanist can recognise the whole plant from one leaf, …so an accurate knowledge of a man's character can be arrived at from a single characteristic action.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:118)
     A reaction: Very true. Great novelists specialise in such observations. One word can reveal a character, as well as one action.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Buddhists wisely start with the cardinal vices [Schopenhauer]
     Full Idea: Because of their profounder ethical and metaphysical insight, the Buddhists start not with the cardinal virtues but with cardinal vices, …which are lust, sloth, wrath and avarice (and maybe hatred).
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:110)
     A reaction: This may be right. Our lives are affected much more by the vices of others than by their virtues, and most virtuous behaviour aims at rectifying the bad effects of other people's vices.
The five Chinese virtues: pity, justice, politeness, wisdom, honesty [Schopenhauer]
     Full Idea: The Chinese name five cardinal virtues: pity, justice, politeness, wisdom and honesty.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:110)
     A reaction: I like politeness being on the list, though it seems rather superficial to be a virtue of character. Respect would be better.
23. Ethics / F. Existentialism / 4. Boredom
Boredom is only felt by those clever enough to need activity [Schopenhauer]
     Full Idea: Only in the cleverest animals such as dogs and apes does the need for activity, and with that boredom, make itself felt.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:50)
     A reaction: But it is much more frequently young creatures, of almost any kind, that seek constant activity, and get continually restless. The most active adults need not be the cleverest.
Human life is a mistake, shown by boredom, which is direct awareness of the fact [Schopenhauer]
     Full Idea: Human life must be some kind of mistake. ...Boredom is a direct proof that existence is in itself valueless, for boredom is nothing other than the sensation of the emptiness of existence.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XI:146)
     A reaction: I think it is a good advertisement for existentialism that it makes something more out of boredom than Schopenhauer does.
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The state only exists to defend citizens, from exterior threats, and from one another [Schopenhauer]
     Full Idea: The state is essentially no more than an institution for the protection of the whole against attacks from without, and the protection of its individual members from attacks by one another.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IX:123)
     A reaction: He then has a swipe at Hegel for his inflated idea of the importance of the state. Schopenhauer is close to Hobbes on this one.
25. Social Practice / A. Freedoms / 1. Slavery
Poverty and slavery are virtually two words for the same thing [Schopenhauer]
     Full Idea: Poverty and slavery are only two forms - on might almost say two words for - the same thing, the essence of which is that a man's energies are expended for the most part not on his own behalf but on that of others.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IX:125)
     A reaction: The modern world is full of people who righteously despise slavery, but think only of the poor that it serves them right.
25. Social Practice / A. Freedoms / 3. Free speech
The freedom of the press to sell poison outweighs its usefulness [Schopenhauer]
     Full Idea: Freedom of the press must be regarded as a permit to sell poison. …I very much fear, therefore, that the dangers of press freedom outweigh its usefulness.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IX:127)
     A reaction: On the whole the modern world disagrees with this view, but watching the popular press in Britain in the last twenty years has made me sympathise with Schopenhauer.
25. Social Practice / F. Life Issues / 4. Suicide
If suicide was quick and easy, most people would have done it by now [Schopenhauer]
     Full Idea: Perhaps there is no one alive who would not already have put an end to his life if this end were something purely negative, a sudden cessation of existence.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XIII:158)
     A reaction: Nonsense, on the whole, but it is a nice question how many people would do it if it only took a painless instant.
25. Social Practice / F. Life Issues / 5. Sexual Morality
Would humanity still exist if sex wasn't both desired and pleasurable? [Schopenhauer]
     Full Idea: If the act of procreation were neither the outcome of a desire nor accompanied by feelings of pleasure, but a matter to be decided on the basis of purely rational considerations, is it likely the human race would still exist?
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XII:156)
     A reaction: This is almost certainly correct in the modern world. In tougher economic circumstances people seem desperate to have children who will help them survive.
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Only religion introduces serious issues to uneducated people [Schopenhauer]
     Full Idea: Religion is the only means of introducing some notion of the high significance of life into the uncultivated heads of the masses.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XV:174)
     A reaction: Cf Philip Larkin's poem 'Church Going'. On the whole Schopenhauer didn't actually believe that our lives had any 'high significance'.
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
The Creator created the possibilities for worlds, so should have made a better one than this possible [Schopenhauer]
     Full Idea: The Creator created not only the world, but also created possibility itself; therefore he should have created the possibility of a better world than this one.
     From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XII:156)
     A reaction: This is explicitly a response to Leibniz's claim that the Creator selected the best of all possible worlds from the available options. The Euthyphro Question hovers here: must the Creator accept what is possible (the platonic view), or create possibility?