Combining Texts

All the ideas for 'The Statesman', 'Review of Bob Hale's 'Abstract Objects'' and 'Elucidation of some points in E.Schrder'

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12 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Whenever you perceive a community of things, you should also hunt out differences in the group [Plato]
     Full Idea: The rule is that when one perceives first the community between the members of a group of many things, one should not desist until one sees in it all those differences that are located in classes.
     From: Plato (The Statesman [c.356 BCE], 285b)
     A reaction: He goes on to recommend the opposite as well - see community even when there appears to be nothing but differences. I take this to be analysis, just as much as modern linguistic approaches are. Analyse the world, not language.
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We can't presume that all interesting concepts can be analysed [Williamson]
     Full Idea: We have no prior reason to suppose that philosophically significant concepts have interesting analyses into necessary and sufficient conditions.
     From: Timothy Williamson (Review of Bob Hale's 'Abstract Objects' [1988])
     A reaction: We might think that they are either analysable or primitive, and that failure of analysis invites us to take a concept as primitive. But maybe God can analyse it and we can't.
2. Reason / D. Definition / 2. Aims of Definition
To reveal a nature, divide down, and strip away what it has in common with other things [Plato]
     Full Idea: Let's take the kind posited and cut it in two, .then follow the righthand part of what we've cut, and hold onto things that the sophist is associated with until we strip away everything he has in common with other things, then display his peculiar nature.
     From: Plato (The Statesman [c.356 BCE], 264e)
     A reaction: This seems to be close to Aristotle's account of definition, when he is trying to get at what-it-is-to-be some thing. But if you strip away everything the definiendum has in common with other things, will anything remain?
No one wants to define 'weaving' just for the sake of weaving [Plato]
     Full Idea: I don't suppose that anyone with any sense would want to hunt down the definition of 'weaving' for the sake of weaving itself.
     From: Plato (The Statesman [c.356 BCE], 285d)
     A reaction: The point seems to be that the definition brings out the connections between weaving and other activities and objects, thus enlarging our understanding.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
A class is an aggregate of objects; if you destroy them, you destroy the class; there is no empty class [Frege]
     Full Idea: A class consists of objects; it is an aggregate, a collective unity, of them; if so, it must vanish when these objects vanish. If we burn down all the trees of a wood, we thereby burn down the wood. Thus there can be no empty class.
     From: Gottlob Frege (Elucidation of some points in E.Schröder [1895], p.212), quoted by Oliver,A/Smiley,T - What are Sets and What are they For?
     A reaction: This rests on Cantor's view of a set as a collection, rather than on Dedekind, which allows null and singleton sets.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]
     Full Idea: The Fregean argument for platonism is that some true assertions contain singular terms which denote abstract objects if they denote anything; since the assertions are true, the singular terms denote.
     From: Timothy Williamson (Review of Bob Hale's 'Abstract Objects' [1988])
     A reaction: I am perplexed that anyone would rest their view of reality on such an argument. The obvious comparison would be with true remarks about blatantly fictional characters, or blatantly invented concepts such as 'checkmate'.
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
The soul gets its goodness from god, and its evil from previous existence. [Plato]
     Full Idea: From its composer the soul possesses all beautiful things, but from its former condition, everything that proves to be harsh and unjust in heaven.
     From: Plato (The Statesman [c.356 BCE], 273b)
     A reaction: A neat move to explain the origins of evil (or rather, to shift the problem of evil to a long long way from here). This view presumably traces back to the views of Empedocles on good and evil. Can the soul acquire evil in its current existence?
19. Language / F. Communication / 1. Rhetoric
The question of whether or not to persuade comes before the science of persuasion [Plato]
     Full Idea: The science of whether one must persuade or not must rule over the science capable of persuading.
     From: Plato (The Statesman [c.356 BCE], 304c)
     A reaction: Plato probably thinks that reason has to be top of the pyramid, but there is always the Nietzschean/romantic question of why we should place such a value on what is rational.
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Non-physical beauty can only be shown clearly by speech [Plato]
     Full Idea: The bodiless things, being the most beautiful and the greatest, are only shown with clarity by speech and nothing else.
     From: Plato (The Statesman [c.356 BCE], 286a)
     A reaction: Unfortunately this will be true of warped and ugly ideas as well.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
The arts produce good and beautiful things by preserving the mean [Plato]
     Full Idea: It is by preserving the mean that arts produce everything that is good and beautiful.
     From: Plato (The Statesman [c.356 BCE], 284b)
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the worst of good constitutions, but the best of bad constitutions [Plato, by Aristotle]
     Full Idea: Plato judged that when the constitution is decent, democracy is the worst of them, but when they are bad it is the best.
     From: report of Plato (The Statesman [c.356 BCE], 302e) by Aristotle - Politics 1289b07
     A reaction: Aristotle denies that a good oligarchy is superior. What of technocracy? The challenge is to set up institutions which ensure the health of the democracy. The big modern problem is populists who lie.
28. God / A. Divine Nature / 2. Divine Nature
Only divine things can always stay the same, and bodies are not like that [Plato]
     Full Idea: It is fitting for only the most divine things of all to be always the same and in the same state and in the same respects, and the nature of body is not of this ordering.
     From: Plato (The Statesman [c.356 BCE], 269b)