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All the ideas for 'Abstract Objects: a Case Study', 'Principle Doctrines ('Kuriai Doxai') (frags)' and 'English as a Formal Language'

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16 ideas

1. Philosophy / A. Wisdom / 2. Wise People
It is a great good to show reverence for a wise man [Epicurus]
     Full Idea: To show reverence for a wise man is itself a great good for him who reveres [the wise man].
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 32)
     A reaction: It is characteristic of Epicurus to move up a level in his thinking, and not merely respect wisdom, but ask after the value of his own respect. Compare Idea 14517. Nice.
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
In the study of philosophy, pleasure and knowledge arrive simultaneously [Epicurus]
     Full Idea: In philosophy the pleasure accompanies the knowledge. For the enjoyment does not come after the learning but the learning and the enjoyment are simultaneous.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 27)
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague]
     Full Idea: The expression 'The' turns out to play the role of a quantifier, in complete analogy with 'every' and 'a', and does not generate (in common with common noun phrases) denoting expressions
     From: Richard Montague (English as a Formal Language [1970], p.216), quoted by Bernard Linsky - Quantification and Descriptions 4
     A reaction: Linsky says that it is now standard to interpret definite descriptions as quantifiers
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Bodies are combinations of shape, size, resistance and weight [Epicurus]
     Full Idea: Epicurus said that body was conceived as an aggregate of shape and size and resistance and weight.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE])
     A reaction: [Source Sextus 'Adversus Mathematicos' 10.257] Note that this is how we 'conceive' them. They might be intrinsically different, except that Epicurus is pretty much a phenomenalist.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If everything is by necessity, then even denials of necessity are by necessity [Epicurus]
     Full Idea: He who claims that everything occurs by necessity has no complaint against him who claims that everything does not occur by necessity. For he makes the very claim in question by necessity.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 40)
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
What happens to me if I obtain all my desires, and what if I fail? [Epicurus]
     Full Idea: One should bring this question to bear on all one's desires: what will happen to me if what is sought by desire is achieved, and what will happen if it is not?
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 71)
     A reaction: Yet another example of Epicurus moving up a level in his thinking about ethical issues, as in Idea 14517 and Idea 14519. The mark of a true philosopher. This seems to be a key idea for wisdom - to think further ahead than merely what you desire.
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Pleasure and virtue entail one another [Epicurus]
     Full Idea: It is not possible to live pleasantly without living intelligently and finely and justly, nor to live intelligently and finely and justly without living pleasantly.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 5), quoted by Julia Annas - The Morality of Happiness Ch.16
     A reaction: A person with all these virtues might still suffer from depression. And I don't see why having limited intelligence should stop someone from living pleasantly. Just be warm-hearted.
23. Ethics / B. Contract Ethics / 1. Contractarianism
Justice is merely a contract about not harming or being harmed [Epicurus]
     Full Idea: There is no such things as justice in itself; in people's relations with one another in any place and at any time it is a contract about not harming or being harmed.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 33), quoted by Julia Annas - The Morality of Happiness 13.2
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We value our own character, whatever it is, and we should respect the characters of others [Epicurus]
     Full Idea: We value our characters as our own personal possessions, whether they are good and envied by men or not. We must regard our neighbours' characters thus too, if they are respectable.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 15)
     A reaction: I like this because it introduces a metaethical dimension to the whole problem of virtue. We should value our own character - so should we try to improve it? Should we improve so much as to become unrecognisable?
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice is a pledge of mutual protection [Epicurus]
     Full Idea: The justice of nature is a pledge of reciprocal usefulness, neither to harm one another nor to be harmed.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 31)
     A reaction: Notice that justice is not just reciprocal usefulness, but a 'pledge' to that effect. This implies a metaethical value of trust and honesty in keeping the pledge. Is it better to live by the pledge, or to be always spontaneously useful?
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
A law is not just if it is not useful in mutual associations [Epicurus]
     Full Idea: If someone passes a law and it does not turn out to be in accord with what is useful in mutual associations, this no longer possesses the nature of justice.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 37)
25. Social Practice / F. Life Issues / 4. Suicide
It is small-minded to find many good reasons for suicide [Epicurus]
     Full Idea: He is utterly small-minded for whom there are many plausible reasons for committing suicide.
     From: Epicurus (Principle Doctrines ('Kuriai Doxai') (frags) [c.290 BCE], 38)
     A reaction: It is a pity that the insult of 'small-minded' has slipped out of philosophy. The Greeks use it all the time, and know exactly what it means. We all recognise small-mindedness, and it is a great (and subtle) vice.