Combining Texts

All the ideas for 'Defending the Axioms', 'Magna Carta' and 'Mind in a Physical World'

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30 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 / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
     Full Idea: One feature of the Axiom of Choice that troubled many mathematicians was the so-called Banach-Tarski paradox: using the Axiom, a sphere can be decomposed into finitely many parts and those parts reassembled into two spheres the same size as the original.
     From: Penelope Maddy (Defending the Axioms [2011], 1.3)
     A reaction: (The key is that the parts are non-measurable). To an outsider it is puzzling that the Axiom has been universally accepted, even though it produces such a result. Someone can explain that, I'm sure.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
     Full Idea: If-thenism denies that mathematics is in the business of discovering truths about abstracta. ...[their opponents] obviously don't regard any starting point, even a consistent one, as equally worthy of investigation.
     From: Penelope Maddy (Defending the Axioms [2011], 3.3)
     A reaction: I have some sympathy with if-thenism, in that you can obviously study the implications of any 'if' you like, but deep down I agree with the critics.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
     Full Idea: At the end of the nineteenth century there was a renewed emphasis on rigor, the central tool of which was axiomatization, along the lines of Hilbert's axioms for geometry and Dedekind's axioms for real numbers.
     From: Penelope Maddy (Defending the Axioms [2011], 1.3)
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
     Full Idea: The fact that two apparently fruitful mathematical themes turn out to coincide makes it all the more likely that they're tracking a genuine strain of mathematical depth.
     From: Penelope Maddy (Defending the Axioms [2011], 5.3ii)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
     Full Idea: One form of the Continuum Hypothesis is the claim that every infinite set of reals is either countable or of the same size as the full set of reals.
     From: Penelope Maddy (Defending the Axioms [2011], 2.4 n40)
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
     Full Idea: Our set-theoretic methods track the underlying contours of mathematical depth. ...What sets are, most fundamentally, is markers for these contours ...they are maximally effective trackers of certain trains of mathematical fruitfulness.
     From: Penelope Maddy (Defending the Axioms [2011], 3.4)
     A reaction: This seems to make it more like a map of mathematics than the actual essence of mathematics.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
     Full Idea: Ordinary perceptual cognition is most likely involved in our grasp of elementary arithmetic, but ...this connection to the physical world has long since been idealized away in the infinitary structures of contemporary pure mathematics.
     From: Penelope Maddy (Defending the Axioms [2011], 2.3)
     A reaction: Despite this, Maddy's quest is for a 'naturalistic' account of mathematics. She ends up defending 'objectivity' (and invoking Tyler Burge), rather than even modest realism. You can't 'idealise away' the counting of objects. I blame Cantor.
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)
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.
25. Social Practice / D. Justice / 2. The Law / b. Rule of law
Magna Carta forbids prison without trial, and insists on neutral and correct process [-, by Charvet]
     Full Idea: The Magna Carta forbids the King to imprison indefinitely without trial, and also binds the King to follow due process in his courts and not allow the justice provided to be for sale.
     From: report of - (Magna Carta [1215]) by John Charvet - Liberalism: the basics 02
     A reaction: Very exasperating for a medieval monarch. In current times British law is exceedingly slow (so long imprisonment before trial), and the necessary effective advocates cost vastly too much for all but a tiny minority. So it's going badly.