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All the ideas for 'Platonistic Theories of Universals', 'Mathematics without Foundations' and 'Mind, Brain and the Quantum'

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30 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
There is nothing so obvious that a philosopher cannot be found to deny it [Lockwood]
     Full Idea: There is nothing so obvious that a philosopher cannot be found to deny it.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.73)
     A reaction: [Idea of Varro] Just as unreliable witnesses are the bane of a murder enquiry, so bad philosophers throw a cloud of obscurity roundphilosophy. If 9999 people thought 2+2=4, but there is always one who thinks something different.
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
There may only be necessary and sufficient conditions (and counterfactuals) because we intervene in the world [Lockwood]
     Full Idea: Perhaps notions of necessary and sufficient conditions, and counterfactual considerations, are in some way grounded in awareness of ourselves as active interveners and experimenters in the world, not passive spectators.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.155)
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
No one has ever succeeded in producing an acceptable non-trivial analysis of anything [Lockwood]
     Full Idea: I cannot think of a single philosophically interesting concept that has been successfully and nontrivially analysed to most people's satisfaction.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.121)
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Entities can be multiplied either by excessive categories, or excessive entities within a category [Hoffman/Rosenkrantz]
     Full Idea: There are two ways that entities can be multiplied unnecessarily: by multiplying the number of explanatory categories, and by multiplying the number of entities within a category.
     From: J Hoffman/G Rosenkrantz (Platonistic Theories of Universals [2003], 4)
     A reaction: An important distinction. The orthodox view is that it is the excess of categories that is to be avoided (e.g. by nominalists). Possible worlds in metaphysics, and multiple worlds in physics, claim not to violate the first case.
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
If something is described in two different ways, is that two facts, or one fact presented in two ways? [Lockwood]
     Full Idea: Do the statements 'Sir Percy Blakeney is in Paris' and 'The Scarlet Pimpernel is in Paris' express different facts, or the same fact under different modes of presentation?
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.129)
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
     Full Idea: We seem to understand some statements about all sets (e.g. 'for every set x and every set y, there is a set z which is the union of x and y').
     From: Hilary Putnam (Mathematics without Foundations [1967], p.308)
     A reaction: His example is the Axiom of Choice. Presumably this is why the collection of all sets must be referred to as a 'class', since we can talk about it, but cannot define it.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
     Full Idea: I do not believe mathematics either has or needs 'foundations'.
     From: Hilary Putnam (Mathematics without Foundations [1967])
     A reaction: Agreed that mathematics can function well without foundations (given that the enterprise got started with no thought for such things), the ontology of the subject still strikes me as a major question, though maybe not for mathematicians.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
     Full Idea: I believe that under certain circumstances revisions in the axioms of arithmetic, or even of the propositional calculus (e.g. the adoption of a modular logic as a way out of the difficulties in quantum mechanics), is fully conceivable.
     From: Hilary Putnam (Mathematics without Foundations [1967], p.303)
     A reaction: One can change the axioms of a system without necessarily changing the system (by swapping an axiom and a theorem). Especially if platonism is true, since the eternal objects reside calmly above our attempts to axiomatise them!
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
     Full Idea: Mathematics might be 'empirical' in the sense that one is allowed to try to put alternatives into the field.
     From: Hilary Putnam (Mathematics without Foundations [1967], p.303)
     A reaction: He admits that change is highly unlikely. It take hardcore Millian arithmetic to be only changeable if pebbles start behaving very differently with regard to their quantities, which appears to be almost inconceivable.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
     Full Idea: Science demands much more of a mathematical theory than that it should merely be consistent, as the example of the various alternative systems of geometry dramatizes.
     From: Hilary Putnam (Mathematics without Foundations [1967])
     A reaction: Well said. I don't agree with Putnam's Indispensability claims, but if an apparent system of numbers or lines has no application to the world then I don't consider it to be mathematics. It is a new game, like chess.
7. Existence / D. Theories of Reality / 2. Realism
How does a direct realist distinguish a building from Buckingham Palace? [Lockwood]
     Full Idea: It is one thing to see a building, and another to see it as a building, and yet another to see it as Buckingham Palace. How does the commonsense realist think that this is accomplished?
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.302)
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
     Full Idea: Surely the mere fact that we may never know whether the continuum hypothesis is true or false is by itself just no reason to think that it doesn't have a truth value!
     From: Hilary Putnam (Mathematics without Foundations [1967])
     A reaction: This is Putnam in 1967. Things changed later. Personally I am with the younger man all they way, but I reserve the right to totally change my mind.
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
'There are shapes which are never exemplified' is the toughest example for nominalists [Hoffman/Rosenkrantz]
     Full Idea: The example which presents the most serious challenge to nominalism is 'there are shapes which are never exemplified'.
     From: J Hoffman/G Rosenkrantz (Platonistic Theories of Universals [2003], 3)
     A reaction: To 'exemplify' a shape must it be a physical object, or a drawing of such an object, or a description? If none of those have ever existed, I'm not sure what 'are' is supposed to mean. They seem to be possibilia (with all the associated problems).
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalists are motivated by Ockham's Razor and a distrust of unobservables [Hoffman/Rosenkrantz]
     Full Idea: The two main motivations for nominalism are an admirable commitment to Ockham's Razor, and a queasiness about postulating entities that are unobservable or non-empirical, existing in a non-physical realm.
     From: J Hoffman/G Rosenkrantz (Platonistic Theories of Universals [2003], 3)
     A reaction: It doesn't follow that because the entities are unobservable that they are non-physical. Consider the 'interior' of an electron. Neverless I share a love of Ockham's Razor and a deep caution about unobservables.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Four theories of possible worlds: conceptualist, combinatorial, abstract, or concrete [Hoffman/Rosenkrantz]
     Full Idea: There are four models of the ontological status of possible worlds: conceptualist (mental constructions), combinatorial (all combinations of the actual world), abstract worlds (conjunction of propositions), and concrete worlds (collections of concreta).
     From: J Hoffman/G Rosenkrantz (Platonistic Theories of Universals [2003], 4)
     A reaction: [the proponents cited are, in order, Rescher, Cresswell, Plantinga and Lewis] They dismiss Rescher and Cresswell, both of whom seem to me more plausible than Plantinga or Lewis. 'Possible' can't figure in the definition. Possible to us, or in reality?
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
Dogs seem to have beliefs, and beliefs require concepts [Lockwood]
     Full Idea: Dogs surely have beliefs, and beliefs call for some concepts or other.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.312)
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism is a theory of meaning as well as of knowledge [Lockwood]
     Full Idea: Empiricism is not just a theory of knowledge; it is also a theory meaning.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.149)
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Commonsense realism must account for the similarity of genuine perceptions and known illusions [Lockwood]
     Full Idea: Commonsense realism has to account for the subjective similarity of the genuine perception of a green surface and the experience of, say, an after-image.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.142)
15. Nature of Minds / A. Nature of Mind / 8. Brain
A 1988 estimate gave the brain 3 x 10-to-the-14 synaptic junctions [Lockwood]
     Full Idea: It is estimated by Gierer (1988) that the human cerebral cortex alone contains about 300,000,000,000,000 synaptic junctions.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.46)
     A reaction: As we grasp the vastness of this number, and the fact that the junctions are all active, the idea that a brain does something astonishing is not quite so surprising.
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
How come unconscious states also cause behaviour? [Lockwood]
     Full Idea: Anyone who thinks phenomenal qualities are inseparable from our awareness of them, must think subconscious mental states are totally devoid of phenomenal qualities! So how can these states cause behaviour in the way conscious states do?
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.166)
     A reaction: I agree with this thought, though it is beautifully unprovable. We would need to respond to a red traffic light, without having consciously registered its presence. It is is just increasingly clear that we register information pre-consciously.
Could there be unconscious beliefs and desires? [Lockwood]
     Full Idea: I cannot make intuitive sense of there existing a being who possessed genuine beliefs and desires, but who, or which, lacked the capacity for consciousness altogether.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.44)
     A reaction: This is part of the recent move (which strikes me as correct) to see qualia and intentionality as inseparable. We might well, though, need to adopt the 'intentional stance' to a sophisticated robot. But am I aware of all of my beliefs?
15. Nature of Minds / B. Features of Minds / 7. Blindsight
Fish may operate by blindsight [Lockwood]
     Full Idea: If one asks 'what does the world look like to a fish?' the answer may be 'it doesn't look like anything; fish find their way about by blindsight.'
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.56)
     A reaction: This strikes me as a real possibility, not just a wild speculation. It seems pretty obvious to me that I operate by blindsight in many aspects of my behaviour. Piano-playing would be impossible if all qualia had to be processed.
16. Persons / C. Self-Awareness / 1. Introspection
We might even learn some fundamental physics from introspection [Lockwood]
     Full Idea: I am suggesting that introspective psychology might have a contribution to make to fundamental physics.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.176)
     A reaction: I'm a fan of introspection, as a source of genuine information.
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Can phenomenal qualities exist unsensed? [Lockwood]
     Full Idea: Halting the slide into panpsychism is the major advantage of holding that phenomenal qualities can exist unsensed.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.170)
     A reaction: Presumably unsensed phenomenal qualities would explain the discovery that we seem to make decisions before we are conscious of what we intend to do. That result certainly implied that consciousness had no real function.
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
If mental events occur in time, then relativity says they are in space [Lockwood]
     Full Idea: If we assume that mental events are located in time, then it follows immediately, given special relativity, that they are also in space.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.73)
     A reaction: A powerful point. Of course, there might (you never know) be something which exists in time but not space (and thoughts clearly exist in time), but (as in Hume's argument against miracles), dualism will overthrow your other basic beliefs about nature.
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Only logical positivists ever believed behaviourism [Lockwood]
     Full Idea: Philosophical behaviourism is an absurd theory. Practically the only philosophers who ever held it, at any rate in its crude form, were certain logical positivists.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.25)
     A reaction: I presume Lockwood's target here is eliminativist behaviourism, as opposed to methodological behaviourism (which is a reasonable practice to adopt), and 'black box' behaviourism (which has been superseded by functionalism).
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Identity theory likes the identity of lightning and electrical discharges [Lockwood]
     Full Idea: A favourite example of identity theorists is the identification of flashes of lightning with electrical discharges.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.71)
     A reaction: Personally I prefer the analogy of the mind being like a waterfall - a non-mysterious physical process which has dramatic properties of its own. If minds must keep busy in order to be minds, they must be processes.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Perhaps logical positivism showed that there is no dividing line between science and metaphysics [Lockwood]
     Full Idea: If the logical positivists established anything it is that there is no way of demarcating science from metaphysics.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.313)
     A reaction: So many problems arise for philosophers because of the passion for 'demarcating' things. Close study, experiments, statistics and measurements occur in every walk of life.
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Maybe causation is a form of rational explanation, not an observation or a state of mind [Lockwood]
     Full Idea: It is tempting to see the concept of causation as a product of reason rather than of perception or introspection; something that reason brings to bear on the data of sense, by way of imposing an explanatory order on them.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.154)
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
We have the confused idea that time is a process of change [Lockwood]
     Full Idea: Somehow we have got it into our heads that time itself is a process of change.
     From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.12)