Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Beyond internal Foundations to external Virtues' and 'God in Plato'

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16 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
Among the Greeks Aristotle is the only philosopher in the modern style [Weil]
     Full Idea: In Greece, Aristotle is perhaps the only philosopher in the modern sense, and he is entirely outside the Greek tradition.
     From: Simone Weil (God in Plato [1942], p.45)
     A reaction: She sees Plato as embodying the true tradition. Everything Aristotle writes is 'peri phusis' (about nature), and that is a standard topic of philosophy right from the start. She emphasises Plato long historical roots. Pythagoras is key.
2. Reason / A. Nature of Reason / 6. Coherence
We can't attain a coherent system by lopping off any beliefs that won't fit [Sosa]
     Full Idea: Coherence involves the logical, explanatory and probabilistic relations among one's beliefs, but it could not do to attain a tightly iterrelated system by lopping off whatever beliefs refuse to fit.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 6.4)
     A reaction: This is clearly right, so the coherentist has to distinguish between lopping off a belief because it is inconvenient (fundamentalists rejecting textual contradictions), and lopping it off because it is wrong (chemists rejecting phlogiston).
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The phenomenal concept of an eleven-dot pattern does not include the concept of eleven [Sosa]
     Full Idea: You could detect the absence of an eleven-dot pattern without having counted the dots, so your phenomenal concept of that array is not an arithmetical concept, and its content will not yield that its dots do indeed number eleven.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 7.3)
     A reaction: Sosa is discussing foundational epistemology, but this draws attention to the gulf that has to be leaped by structuralists. If eleven is not derived from the pattern, where does it come from? Presumably two eleven-dotters are needed, to map them.
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)
11. Knowledge Aims / A. Knowledge / 1. Knowledge
It is acceptable to say a supermarket door 'knows' someone is approaching [Sosa]
     Full Idea: I am quite flexible on epistemic terminology, and am even willing to grant that a supermarket door can 'know' that someone is approaching.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 6.6)
     A reaction: I take this amazing admission to be a hallmark of externalism. Sosa must extend this to thermostats. So flowers know the sun has come out. This is knowledge without belief. Could the door ever be 'wrong'?
12. Knowledge Sources / C. Rationalism / 1. Rationalism
In reducing arithmetic to self-evident logic, logicism is in sympathy with rationalism [Sosa]
     Full Idea: In trying to reduce arithmetic to self-evident logical axioms, logicism is in sympathy with rationalism.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 6.7)
     A reaction: I have heard Frege called "the greatest of all rationalist philosophers". However, the apparent reduction of arithmetic to analytic truths played into the hands of logical positivists, who could then marginalise arithmetic.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Most of our knowledge has insufficient sensory support [Sosa]
     Full Idea: Almost nothing that one knows of history or geography or science has adequate sensory support, present or even recalled.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 6.7)
     A reaction: This seems a bit glib, and may be false. The main issue to which this refers is, of course, induction, which (almost by definition) is a supposedly empirical process which goes beyond the empirical evidence.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Perception may involve thin indexical concepts, or thicker perceptual concepts [Sosa]
     Full Idea: There is a difference between having just an indexical concept which one can apply to a perceptual characteristic (just saying 'this is thus'), and having a thicker perceptual concept of that characteristic.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 7.2)
     A reaction: Both of these, of course, would precede any categorial concepts that enabled one to identify the characteristic or the object. This is a ladder foundationalists must climb if they are to reach the cellar of basic beliefs.
Do beliefs only become foundationally justified if we fully attend to features of our experience? [Sosa]
     Full Idea: Are foundationally justified beliefs perhaps those that result from attending to our experience and to features of it or in it?
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 7.3)
     A reaction: A promising suggestion. I do think our ideas acquire a different epistmological status once we have given them our full attention, though is that merely full consciousness, or full thoughtful evaluation? The latter I take to be what matters. Cf Idea 2414.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Some features of a thought are known directly, but others must be inferred [Sosa]
     Full Idea: Some intrinsic features of our thoughts are attributable to them directly, or foundationally, while others are attributable only based on counting or inference.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 7.5)
     A reaction: In practice the brain combines the two at a speed which makes the distinction impossible. I'll show you ten dot-patterns: you pick out the sixer. The foundationalist problem is that only those drained of meaning could be foundational.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
Much propositional knowledge cannot be formulated, as in recognising a face [Sosa]
     Full Idea: Much of our propositional knowledge is not easily formulable, as when a witness looking at a police lineup may know what the culprit's face looks like.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 6.1)
     A reaction: This is actually a very helpful defence of foundationalism, because it shows that we will accept perceptual experiences as knowledge when they are not expressed as explicit propositions. Davidson (Idea 8801), for example, must deal with this difficulty.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Fully comprehensive beliefs may not be knowledge [Sosa]
     Full Idea: One's beliefs can be comprehensively coherent without amounting to knowledge.
     From: Ernest Sosa (Beyond internal Foundations to external Virtues [2003], 6.6)
     A reaction: Beliefs that are fully foundational or reliably sourced may also fail to be knowledge. I take it that any epistemological theory must be fallibilist (Idea 6898). Rational coherentism will clearly be sensitive to error.
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The only legitimate proof of God by order derives from beauty [Weil]
     Full Idea: The only legitimate proof [of God's existence] from the order of the world is the proof from the beauty of the world.
     From: Simone Weil (God in Plato [1942], p.89)
     A reaction: She finds this proof in Plato. Hume's critique never (I think) mentions beauty, although in the 18thC love of the sublime could play that role. For me, the human experience of beauty doesn't have such cosmic significance.