Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Real Natures and Familiar Objects' and 'Abstraction Reconsidered'

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11 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach]
     Full Idea: For an understanding of arithmetic the grasp of an operation's being performed 'so many times' is quite indispensable; and abstraction of a feature from groups of nuts cannot give us this grasp.
     From: Peter Geach (Abstraction Reconsidered [1983], p.170)
     A reaction: I end up defending the empirical approach to arithmetic because remarks like this are so patently false. Geach seems to think we arrive ready-made in the world, just raring to get on with some counting. He lacks the evolutionary perspective.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Properties only have identity in the context of their contraries [Elder]
     Full Idea: The very being, the identity, of any property consists at least in part in its contrasting as it does with its own proper contraries.
     From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 2.4)
     A reaction: See Elder for the details of this, but the idea that properties can only be individuated contextually sounds promising.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Maybe we should give up the statue [Elder]
     Full Idea: Some contemporary metaphysicians infer that one of the objects must go, namely, the statue.
     From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 7.2)
     A reaction: [He cites Zimmerman 1995] This looks like a recipe for creating a vast gulf between philosophers and the rest of the population. If it is right, it makes the true ontology completely useless in understanding our daily lives.
9. Objects / D. Essence of Objects / 6. Essence as Unifier
The loss of an essential property means the end of an existence [Elder]
     Full Idea: The loss of any essential property must amount to the end of an existence.
     From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 3)
     A reaction: This is orthodoxy for essentialists, and I presume that Aristotle would agree, but I have a problem with the essence of a great athlete, who then grows old. Must we say that they lose their identity-as-an-athlete?
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential properties by nature occur in clusters or packages [Elder]
     Full Idea: Essential properties by nature occur in clusters or packages.
     From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 2.2)
     A reaction: Elder proposes this as his test for the essentialness of a property - his Test of Flanking Uniformities. A nice idea.
Essential properties are bound together, and would be lost together [Elder]
     Full Idea: The properties of any essential nature are bound together....[122] so any case in which one of our envisioned familiar objects loses one of its essential properties will be a case in which it loses several.
     From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 3)
     A reaction: This sounds like a fairly good generalisation rather than a necessary truth. Is there a natural selection for properties, so that only the properties which are able to bind to others to form teams are able to survive and flourish?
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
If concepts are just recognitional, then general judgements would be impossible [Geach]
     Full Idea: If concepts were nothing but recognitional capacities, then it is unintelligible that I can judge that cats eat mice when neither of them are present.
     From: Peter Geach (Abstraction Reconsidered [1983], p.164)
     A reaction: Having observed the importance of recognition for the abstractionist (Idea 10731), he then seems to assume that there is nothing more to their concepts. Geach fails to grasp levels of abstraction, and cross-reference, and generalisation.
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
For abstractionists, concepts are capacities to recognise recurrent features of the world [Geach]
     Full Idea: For abstractionists, concepts are essentially capacities for recognizing recurrent features of the world.
     From: Peter Geach (Abstraction Reconsidered [1983], p.163)
     A reaction: Recognition certainly strikes me as central to thought (and revelatory of memory, since we continually recognise what we cannot actually recall). Geach dislikes this view, but I see it as crucial to an evolutionary view of thought.
18. Thought / E. Abstraction / 8. Abstractionism Critique
The abstractionist cannot explain 'some' and 'not' [Geach]
     Full Idea: The abstractionist cannot give a logically coherent account of the features that are supposed to be reached by discriminative attention, corresponding to the words 'some' and 'not'.
     From: Peter Geach (Abstraction Reconsidered [1983], p.167)
     A reaction: I understand 'some' in terms of mereology, because that connects to experience, and 'not' I take to derive more from psychological experience than from the physical world, building on thwarted expectation, which even animals experience.
Only a judgement can distinguish 'striking' from 'being struck' [Geach]
     Full Idea: To understand the verb 'to strike' we must see that 'striking' and 'being struck' are different, but necessarily go together in event and thought; only in the context of a judgment can they be distinguished, when we think of both together.
     From: Peter Geach (Abstraction Reconsidered [1983], p.168)
     A reaction: Geach seems to have a strange notion that judgements are pure events which can precede all experience, and are the only ways we can come to understand experience. He needs to start from animals (or 'brutes', as he still calls them!).
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').