Combining Texts

Ideas for 'Thinking About Mathematics', 'Properties' and 'The Republic'

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10 ideas

8. Modes of Existence / B. Properties / 2. Need for Properties
We accept properties because of type/tokens, reference, and quantification [Edwards]
     Full Idea: Three main reasons for thinking properties exist: the one-over-many argument (that a type can have many tokens), the reference argument (to understand predicates and singular terms), and the quantification argument (that we quantify over them).
     From: Douglas Edwards (Properties [2014], 1.1)
     A reaction: [Bits in brackets are compressions of his explanations]. I don't find any of these remotely persuasive. Why would we infer how the world is, simply from how we talk about or reason about the world? His first reason is the only interesting one.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Quineans say that predication is primitive and inexplicable [Edwards]
     Full Idea: The Quinean claims that the application of a predicate cannot, in principle, be explained - it is a 'primitive' fact.
     From: Douglas Edwards (Properties [2014], 4.4)
     A reaction: I am not clear what 'principle' could endorse this claim. There just seems to be a possible failure of all the usual attempts at explaining predication.
8. Modes of Existence / D. Universals / 2. Need for Universals
The plurality of beautiful things must belong to a single class, because they have a single particular character [Plato]
     Full Idea: All the things we refer to as pluralities (e.g. beautiful things) we also count as belonging to a single class by virtue of the fact that they have a single particular character.
     From: Plato (The Republic [c.374 BCE], 507b)
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Plato's Forms are said to have no location in space [Plato, by Aristotle]
     Full Idea: Plato claims that the Forms are not beyond the heavens, because they are not anywhere.
     From: report of Plato (The Republic [c.374 BCE]) by Aristotle - Physics 203a09
     A reaction: This is an important corrective to caricature accounts of Plato's Forms (encouraged, I'm afraid, by 'Phaedrus'), when critics talk about 'Platonic Heaven'. Forms are not part of space-time. I like the view that they are hypothetical truths.
Forms are not universals, as they don't cover every general term [Plato, by Annas]
     Full Idea: Despite a widely misinterpreted passage in the Republic, Plato does not think that there is a Form for every general term; Forms are not what came to be called universals.
     From: report of Plato (The Republic [c.374 BCE]) by Julia Annas - Ancient Philosophy: very short introduction Ch.5
     A reaction: Hm. This is a bit of a blow to someone who has catalogued Platonic Forms under 'Universals'. See also Idea 12042, for what Annas thinks Plato may really have had in mind.
Craftsmen making furniture refer to the form, but no one manufactures the form of furniture [Plato]
     Full Idea: The manufacture of beds and tables involves the craftsman looking to the form and then making the furniture. The form itself is not manufactured by anyone.
     From: Plato (The Republic [c.374 BCE], 596b)
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
A Form applies to a set of particular things with the same name [Plato]
     Full Idea: We always postulate a single form for each set of particular things, to which we apply the same name.
     From: Plato (The Republic [c.374 BCE], 596a)
     A reaction: This implies that the Forms have a great deal in common with the things, but also hints at the possibility of the Form being quite different from the particular things.
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
Plato mistakenly thought forms were totally abstracted away from matter [Bacon on Plato]
     Full Idea: Plato lost the real fruit of his opinion, by considering forms as absolutely abstracted from matter, and not confined and determined by matter.
     From: comment on Plato (The Republic [c.374 BCE]) by Francis Bacon - The Advancement of Learning II.VII.5
     A reaction: This thought is roughly what got me interested in abstraction, on which you will find many ideas in this database. Research into Bacon's thought is hampered by that fact that the logicians have hijacked abstraction in recent philosophy.
Plato's Forms not only do not come from the senses, but they are beyond possibility of sensing [Plato, by Kant]
     Full Idea: In Plato's use of the expression 'idea' we can see that he understood by it something that not only could never be borrowed from the senses, but even goes beyond the concepts of the understanding, since nothing in experience could be congruent to it.
     From: report of Plato (The Republic [c.374 BCE]) by Immanuel Kant - Critique of Pure Reason B370
     A reaction: This is why Kant is not a Platonist - because he thinks the limits of our world are the limits of our capacity for possible experience, and Platonic Forms exceed that limit. Personally I am with Plato. I'll never experience a quark either.
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Resemblance nominalism requires a second entity to explain 'the rose is crimson' [Edwards]
     Full Idea: For resemblance nominalism the sentence 'the rose is crimson' commits us to at least one other entity that the rose resembles in order for it to be crimson.
     From: Douglas Edwards (Properties [2014], 5.5.2)
     A reaction: If the theory really needs this, then it has just sunk without trace. It can't suddenly cease to be crimson when the last resembling entity disappears.