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All the ideas for '', 'Mathematics without Foundations' and 'Mind in a Physical World'

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32 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim]
     Full Idea: Metaphysics is the domain where different languages, theories, explanations, and conceptual systems come together and have their mutual ontological relationships sorted out and clarified.
     From: Jaegwon Kim (Mind in a Physical World [1998], §3 p.066)
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.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
     Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation.
     From: Ian Rumfitt ("Yes" and "No" [2000], II)
     A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
     Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table.
     From: Ian Rumfitt ("Yes" and "No" [2000])
     A reaction: This is the standard view which Rumfitt sets out to challenge.
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
     Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious.
     From: Ian Rumfitt ("Yes" and "No" [2000], III)
     A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value.
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 / C. Structure of Existence / 2. Reduction
Reductionism is good on light, genes, temperature and transparency [Kim, by PG]
     Full Idea: Examples where reductionism seems to give a good account of things are light, genes, temperature and transparency.
     From: report of Jaegwon Kim (Mind in a Physical World [1998], §1 p.025) by PG - Db (ideas)
     A reaction: This a fairly simple examples, thoroughly confirmed by science a long time ago. Life is a nicer example, because it is more complex and less obvious, but pretty much beyond dispute these days.
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is linked to dependence [Kim]
     Full Idea: It is customary to associate supervenience with the idea of dependence or determination.
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.011)
     A reaction: It is only 'customary' because, in principle, the supervenience might just be a coincidence. I might follow someone everywhere because I love them (dependence) or because they force me to (determination). There's always a reason.
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Mereological supervenience says wholes are fixed by parts [Kim]
     Full Idea: Mereological supervenience is the doctrine that wholes are fixed by the properties and relations that characterise their parts.
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.018)
     A reaction: Presumably this would be the opposite of 'holism'. Personally I would take mereological supervenience to be not merely correct, but to be metaphysically necessary. Don't ask me to prove it, of course.
7. Existence / D. Theories of Reality / 3. Reality
Causal power is a good way of distinguishing the real from the unreal [Kim]
     Full Idea: A plausible criterion for distinguishing what is real from what is not real is the possession of causal power.
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.119)
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 / B. Properties / 7. Emergent Properties
Properties can have causal powers lacked by their constituents [Kim]
     Full Idea: Macroproperties can, and in general do, have their own causal powers, powers that go beyond the causal powers of their microconstituents.
     From: Jaegwon Kim (Mind in a Physical World [1998], §3 p.085)
     A reaction: I don't see why the macro-powers 'go beyond' the sum of the micro-powers. Admittedly one molecule can't be slippery, but slipperiness can be totally reduced to molecule behaviour.
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
There are two contradictory arguments about everything [Kim]
     Full Idea: There are two contradictory arguments about everything.
     From: Jaegwon Kim (Mind in a Physical World [1998], B06a), quoted by (who?) - where?
Protagoras says arguments on both sides are always equal [Kim, by Seneca]
     Full Idea: Protagoras declares that it is possible to argue either side of any question with equal force, even the question whether or not one can equally argue either side of any question!
     From: report of Jaegwon Kim (Mind in a Physical World [1998]) by Seneca the Younger - Letters from a Stoic 088
     A reaction: This is perhaps the most famous sceptical argument in the ancient world (though, note, Protagoras is most famous for his relativism rather than his scepticism). It is, of course, wrong. The arguments are sometimes equal, but often they are not.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Not every person is the measure of all things, but only wise people [Plato on Kim]
     Full Idea: We do not agree that every person is the measure of all things, but only wise people.
     From: comment on Jaegwon Kim (Mind in a Physical World [1998], B01) by Plato - Theaetetus 183c
     A reaction: I fully agree with this, but only because I have an optimistic view that rational people converge on the truth.
Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim]
     Full Idea: Why didn't he start 'Truth' off by saying "A pig is the measure of all things", or "a baboon",…or " tadpole"? That would have been a magnificently haughty beginning.
     From: comment on Jaegwon Kim (Mind in a Physical World [1998], B01) by Plato - Theaetetus 161d1
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG]
     Full Idea: The following all require a belief in mental causation: agency (mind causes events), knowledge (perception causes beliefs), reasoning (one belief causes another), memory (events cause ideas), psychology (science of mental causes).
     From: report of Jaegwon Kim (Mind in a Physical World [1998], §2 p.031) by PG - Db (ideas)
     A reaction: A very good list, which I cannot fault, and to which I cannot add. The question is: is there any mental activity left over which does NOT require causation? Candidates are free will, and the contingent character of qualia. I say the answer is, no.
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
It seems impossible that an exact physical copy of this world could lack intentionality [Kim]
     Full Idea: It seems to me inconceivable that a possible world exists that is an exact physical duplicate of this world but lacking wholly in intentionality.
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.101)
     A reaction: Personally I can't conceive of such a world lacking qualia either. The physical entails the mental, say I.
17. Mind and Body / C. Functionalism / 1. Functionalism
Intentionality as function seems possible [Kim]
     Full Idea: There has been much scepticism about a functionalist account of intentionality, particularly from Putnam (recently) and Searle, but, like many others, I don't see any principled objections to such an account.
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.101)
     A reaction: I agree. I don't believe that intentionality is a candidate for being one of those many 'magic' qualities which are supposed to make the reduction of mind to brain impossible.
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Maybe intentionality is reducible, but qualia aren't [Kim]
     Full Idea: It is possible to hold that phenomenal properties (qualia) are irreducible, while holding intentional properties, including propositional attitudes, to be reducible (functionally, or biologically).
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.017)
     A reaction: This is the position which Kim has settled for, but I find it baffling. If the universe is full of irreducibles that is one thing, but if everything in the universe is reducible except for one tiny item, that is implausible.
17. Mind and Body / D. Property Dualism / 4. Emergentism
Emergentism says there is no explanation for a supervenient property [Kim]
     Full Idea: The emergentism (of Searle), like ethical intuitionism, views mind-body supervenience as something that admits no explanation - it is a brute fact.
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.013)
     A reaction: This is why 'emergence' is no sort of theory, and is really old-fashioned dualism in a dubious naturalistic disguise. If mind 'emerges', there is presumably a causal mechanism for that.
The only mental property that might be emergent is that of qualia [Kim]
     Full Idea: If emergentism is correct about anything, it is more likely to be correct about qualia than about anything else.
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.103)
     A reaction: I'm puzzled by a view that says that nearly all of the mind is reducible, but one tiny aspect of it is 'emergent'. What sort of ontology is envisaged by that?
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Non-Reductive Physicalism relies on supervenience [Kim]
     Full Idea: Many philosophers saw in mind-body supervenience a satisfying metaphysical statement of physicalism without reductionism. This widely influential position is now known as "nonreductive physicalism".
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.008)
     A reaction: If two things supervene on one another, then we should be asking why. Occasionalism and Parallelism are presumably not the answer. Coldness supervenes on ice.
Maybe strong supervenience implies reduction [Kim]
     Full Idea: Maybe strong supervenience is inconsistent with the irreducibility of the supervenient properties to their subvenient bases.
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.012)
     A reaction: If two things are really very very supervenient on one another (superdupervenient?), then you have to ask WHY? If there isn't identity, then there is surely a highly lawlike connection?
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Identity theory was overthrown by multiple realisations and causal anomalies [Kim]
     Full Idea: The two principle arguments which overthrew the mind-brain identity theory were the multiple realization argument of Hilary Putnam, and the anomalist argument of Davidson, which contained the seeds of functionalism and anomalous monism.
     From: Jaegwon Kim (Mind in a Physical World [1998], §1 p.002)
     A reaction: The first argument strikes me as significant and interesting, but Davidson seems weak. It makes the unsubstantiated claim that mind is outside the laws of physics, and irreducible.
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Multiple realisation applies to other species, and even one individual over time [Kim]
     Full Idea: Multiple realization goes deeper and wider than biological species, and even in the same individual the neural realizer, or correlate, of a given mental state or function may change over time through maturation and brain injuries.
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.095)
     A reaction: The tricky question here is what you mean by 'change'. How different must a pattern of neurons be before you say it is of a different type? How do you individuate a type?
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
Knowledge and inversion make functionalism about qualia doubtful [Kim]
     Full Idea: My doubts about functionalist accounts of qualia are based on the much discussed arguments from qualia inversions, and from epistemic considerations.
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.102)
     A reaction: With a colour inversion experience changes but function doesn't. But maybe function does change if you ask the right questions. 'Is this a warm colour?' It certainly strikes me that qualia contain useful (epistemic) information.
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Emotions have both intentionality and qualia [Kim]
     Full Idea: It has been customary to distinguish between two broad categories of mental phenomena, the intentional and the phenomenal, without excluding those that have both (e.g. emotions).
     From: Jaegwon Kim (Mind in a Physical World [1998], §4 p.101)
     A reaction: This has become the conventional modern account of the mind. It seems a little too simple to say that the mind is characterised by two clearcut phenomena like this. I suspect that his picture will be modified in time.
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).