Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Logic (Port-Royal Art of Thinking)' and 'Pref to new 'Materialist Theory''

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15 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
     Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
     From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
     Full Idea: I can start with a triangle, and rise by degrees to all straight-lined figures and to extension itself. The lower degree will include the higher degree. Since the higher degree is less determinate, it can represent more things.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: [compressed] This attempts to explain the generalising ability of abstraction cited in Idea 10501. If you take a complex object and eliminate features one by one, it can only 'represent' more particulars; it could hardly represent fewer.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Secondary qualities are microscopic primary qualities of physical things [Armstrong]
     Full Idea: I argue for the direct identification of the secondary qualities with microscopic primary qualities of physical things.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xxii)
     A reaction: This sounds a bit like the eliminativism which Armstrong rejects. This seems in danger of mixing questions about the nature of mental events with questions about the nature of externally perceived objects.
12. Knowledge Sources / B. Perception / 3. Representation
We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
     Full Idea: We can have knowledge of what is outside us only through the mediation of ideas in us.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], p.63), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc'
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
     Full Idea: The form is what renders a thing such and distinguishes it from others, whether it is a being really distinct from the matter, according to the Schools, or whether it is only the arrangement of the parts. By this form one must explain its properties.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], III.18 p240), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 27.6
     A reaction: If we ask 'what explains the properties of this thing' it is hard to avoid coming up with something that might be called the 'form'. Note that they allow either substantial or corpuscularian forms. It is hard to disagree with the idea.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness and experience of qualities are not the same [Armstrong]
     Full Idea: Consciousness and experience of qualities are often run together - a serious mistake, I think.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xvii)
     A reaction: A difficult claim to evaluate. Can we experience redness without being conscious of it? Could there be consciousness (e.g. of concepts) which didn't involve any qualities? I suspect that qualities are more basic than intentionality or consciousness.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
     Full Idea: The mind cannot perfectly understand things that are even slightly composite unless it considers them a part at a time. ...This is generally called knowing by abstraction. (..the human body, for example).
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: This adds the interesting thought that the mind is forced to abstract, rather than abstraction being a luxury extra feature. Knowledge through analysis is knowledge by abstraction. Also a nice linking of abstraction to epistemology.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
     Full Idea: If I draw an equilateral triangle on a piece of paper, ..I shall have an idea of only a single triangle. But if I ignore all the particular circumstances and focus on the three equal lines, I will be able to represent all equilateral triangles.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: [compressed] They observed that we grasp composites through their parts, and now that we can grasp generalisations through particulars, both achieved by the psychological act of abstraction, thus showing its epistemological power.
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
     Full Idea: Geometers by no means assume that there are lines without width or surfaces without depth. They only think it is possible to consider the length without paying attention to the width. We can measure the length of a path without its width.
     From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
     A reaction: A nice example which makes the point indubitable. The modern 'rigorous' account of abstraction that starts with Frege seems to require more than one object, in order to derive abstractions like direction or number. Path widths are not comparatives.
17. Mind and Body / B. Behaviourism / 1. Behaviourism
Behaviourism is false, but mind is definable as the cause of behaviour [Armstrong]
     Full Idea: Behaviourism is false, but one is not far from the truth if one defines the mind as the cause of behaviour.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xvi)
     A reaction: As Putnam says, if you cut all the efferent (outgoing) nerves, you would have a mind with no behaviour at all. I would say my mind is full of stuff that never affects my behaviour. However, influencing behaviour is certainly the main function of a mind.
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
The manifestations of a disposition need never actually exist [Armstrong]
     Full Idea: The manifestations of a disposition have the particularly mysterious property (metaphysically speaking) that they need not exist - which makes them rather like intentional objects.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xvii)
     A reaction: His example is a brittle glass which never shatters. This problem seems to require the mention of conditional and counterfactual statements in the description of the actual world, which rather increases the workload for philosophers.
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Causal Functionalism says mental states are apt for producing behaviour [Armstrong]
     Full Idea: I speak of my view as the Causal version of functionalism, which asserts that mental states are states apt for the production of certain ranges of behaviour and, in some cases, apt for being produced by certain ranges of stimuli.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xiv)
     A reaction: This effectively makes a mental state a place in a flowdiagram (and hence the mind is software). It says nothing about what qualities the mental states have which make them apt for this role. Full explanations need more than the function.
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
A causal theory of mentality would be improved by a teleological element [Armstrong]
     Full Idea: I now think, following Lycan, that my Causal theory of mentality would be strengthened (perhaps eliminating some potential counter-examples) by the addition of a teleological element.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xviii)
     A reaction: For Lycan, see Idea 6533. Armstrong has begun to realise that merely specifying the causal role of a mental state is too thin as an explanation. Teleology widens the notion of function. I also want to know about the properties that make it possible.
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The identity of mental states with physical properties is contingent, because the laws of nature are contingent [Armstrong]
     Full Idea: Granted the contingency of the laws of nature, the identification of dispositions with their categorical bases can be contingent only.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xvi)
     A reaction: Personally I am not willing to grant the contingency of the laws of nature, but I suppose Armstrong is right about identity if he is right about laws. Presumably an identity could happen to be invariant across possible worlds, without being necessary.
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
One mental role might be filled by a variety of physical types [Armstrong]
     Full Idea: If the mental is just that which plays a causal role then there is the possibility, which may even be an empirical possibility, that the causal role of tokens of the same mental type should be filled by tokens of significantly different physical types.
     From: David M. Armstrong (Pref to new 'Materialist Theory' [1992], p.xiv)
     A reaction: This allows for multiple realisability in a physicalist framework. Fear has the same role in all animals, but may be realised in physically different ways. I go further, and say that two mental states could differ, while playing the same role.