60 ideas
| 4588 | There is no such thing as 'science'; there are just many different sciences [Heil] |
| Full Idea: There is no such thing as science; there are only sciences: physics, chemistry, meteorology, geology, biology, psychology, sociology. | |
| From: John Heil (Philosophy of Mind [1998], Intro) | |
| A reaction: A simple but nice point. It suggests that maybe each science has an entirely different method, and style of reasoning, experiment and explanation. Some have strict laws, others have 'ceteris paribus' laws. |
| 9570 | In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara] |
| Full Idea: Field commits himself to a Platonic view of mathematics. The theorems of set theory are held to imply or presuppose the existence of things that don't in fact exist. That is why he believes that these theorems are false. | |
| From: report of Hartry Field (Science without Numbers [1980]) by Charles Chihara - A Structural Account of Mathematics 11.1 | |
| A reaction: I am sympathetic to Field, but this sounds wrong. A response that looks appealing is that maths is hypothetical ('if-thenism') - the truth is in the logical consequences, not in the ontological presuppositions. |
| 10260 | Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro] |
| Full Idea: Field defines logical consequence by taking the notion of 'logical possibility' as primitive. Hence q is a consequence of P if the conjunction of the items in P with the negation of q is not possible. | |
| From: report of Hartry Field (Science without Numbers [1980]) by Stewart Shapiro - Philosophy of Mathematics 7.2 | |
| A reaction: The question would then be whether it is plausible to take logical possibility as primitive. Presumably only intuition could support it. But then intuition will equally support natural and metaphysical possibilities. |
| 8958 | In Field's version of science, space-time points replace real numbers [Field,H, by Szabó] |
| Full Idea: Field's nominalist version of science develops a version of Newtonian gravitational theory, where no quantifiers range over mathematical entities, and space-time points and regions play the role of surrogates for real numbers. | |
| From: report of Hartry Field (Science without Numbers [1980]) by Zoltán Gendler Szabó - Nominalism 5.1 | |
| A reaction: This seems to be a very artificial contrivance, but Field has launched a programme for rewriting science so that numbers can be omitted. All of this is Field's rebellion against the Indispensability Argument for mathematics. I sympathise. |
| 18221 | 'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H] |
| Full Idea: There are two approaches to axiomatising geometry. The 'metric' approach uses a function which maps a pair of points into the real numbers. The 'synthetic' approach is that of Euclid and Hilbert, which does without real numbers and functions. | |
| From: Hartry Field (Science without Numbers [1980], 5) |
| 8757 | The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H] |
| Full Idea: There is one and only one serious argument for the existence of mathematical entities, and that is the Indispensability Argument of Putnam and Quine. | |
| From: Hartry Field (Science without Numbers [1980], p.5), quoted by Stewart Shapiro - Thinking About Mathematics 9.1 | |
| A reaction: Personally I don't believe (and nor does Field) that this gives a good enough reason to believe in such things. Quine (who likes 'desert landscapes' in ontology) ends up believing that sets are real because of his argument. Not for me. |
| 18212 | Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H] |
| Full Idea: The most popular approach of nominalistically inclined philosophers is to try to reinterpret mathematics, so that its terms and quantifiers only make reference to, say, physical objects, or linguistic expressions, or mental constructions. | |
| From: Hartry Field (Science without Numbers [1980], Prelim) | |
| A reaction: I am keen on naturalism and empiricism, but only referring to physical objects is a non-starter. I think I favour constructions, derived from the experience of patterns, and abstracted, idealised and generalised. Field says application is the problem. |
| 10261 | The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro] |
| Full Idea: Field argues that to account for the applicability of mathematics, we need to assume little more than the possibility of the mathematics, not its truth. | |
| From: report of Hartry Field (Science without Numbers [1980]) by Stewart Shapiro - Philosophy of Mathematics 7.2 | |
| A reaction: Very persuasive. We can apply chess to real military situations, provided that chess isn't self-contradictory (or even naturally impossible?). |
| 18218 | Hilbert explains geometry, by non-numerical facts about space [Field,H] |
| Full Idea: Facts about geometric laws receive satisfying explanations, by the intrinsic facts about physical space, i.e. those laid down without reference to numbers in Hilbert's axioms. | |
| From: Hartry Field (Science without Numbers [1980], 3) | |
| A reaction: Hilbert's axioms mention points, betweenness, segment-congruence and angle-congruence (Field 25-26). Field cites arithmetic and geometry (as well as Newtonian mechanics) as not being dependent on number. |
| 9623 | Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H] |
| Full Idea: Field needs the notion of logical consequence in second-order logic, but (since this is not recursively axiomatizable) this is a semantical notion, which involves the idea of 'true in all models', a set-theoretic idea if there ever was one. | |
| From: comment on Hartry Field (Science without Numbers [1980], Ch.4) by James Robert Brown - Philosophy of Mathematics | |
| A reaction: Brown here summarises a group of critics. Field was arguing for modern nominalism, that actual numbers could (in principle) be written out of the story, as useful fictions. Popper's attempt to dump induction seemed to need induction. |
| 18215 | It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H] |
| Full Idea: No clear explanation of the idea that the conclusion was 'implicitly contained in' the premises was ever given, and I do not believe that any clear explanation is possible. | |
| From: Hartry Field (Science without Numbers [1980], 1) |
| 18216 | Abstractions can form useful counterparts to concrete statements [Field,H] |
| Full Idea: Abstract entities are useful because we can use them to formulate abstract counterparts of concrete statements. | |
| From: Hartry Field (Science without Numbers [1980], 3) | |
| A reaction: He defends the abstract statements as short cuts. If the concrete statements were 'true', then it seems likely that the abstract counterparts will also be true, which is not what fictionalism claims. |
| 18214 | Mathematics is only empirical as regards which theory is useful [Field,H] |
| Full Idea: Mathematics is in a sense empirical, but only in the rather Pickwickian sense that is an empirical question as to which mathematical theory is useful. | |
| From: Hartry Field (Science without Numbers [1980], 1) | |
| A reaction: Field wants mathematics to be fictions, and not to be truths. But can he give an account of 'useful' that does not imply truth? Only in a rather dubiously pragmatist way. A novel is not useful. |
| 18210 | Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H] |
| Full Idea: Why regard the axioms of standard mathematics as truths, rather than as fictions that for a variety of reasons mathematicians have become interested in? | |
| From: Hartry Field (Science without Numbers [1980], p.viii) |
| 4616 | A higher level is 'supervenient' if it is determined by lower levels, but has its own natural laws [Heil] |
| Full Idea: 'Supervenience' means lower-level objects and properties suffice for the higher level ones, but the higher level is distinct from its ground, which is reflected in the higher level being governed by distinct laws of nature. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: A nice summary of Davidson's idea. It feels wrong to me. Can I create some 'new laws of nature' by combining things novelly in a laboratory so that a supervenient state emerges. Sounds silly to me. Must we invoke God to achieve this? |
| 18211 | You can reduce ontological commitment by expanding the logic [Field,H] |
| Full Idea: One can often reduce one's ontological commitments by expanding one's logic. | |
| From: Hartry Field (Science without Numbers [1980], p.ix) | |
| A reaction: I don't actually understand this idea, but that's never stopped me before. Clearly, this sounds like an extremely interesting thought, and hence I should aspire to understand it. So I do aspire to understand it. First, how do you 'expand' a logic? |
| 4603 | Functionalists in Fodor's camp usually say that a genuine property is one that figures in some causal laws [Heil] |
| Full Idea: Functionalists in Fodor's camp usually say that a genuine property is one that figures in some causal laws. | |
| From: John Heil (Philosophy of Mind [1998], Ch.4) | |
| A reaction: The problem is that anything which can't figure in a causal law will therefore be undetectable, so we could only speculate about the existence of such properties, never know them. |
| 4617 | A stone does not possess the property of being a stone; its other properties make it a stone [Heil] |
| Full Idea: A predicate that does not designate a property could nevertheless hold true of an object in virtue of that object's properties. An object is a stone not in virtue of holding the property of being a stone, but because it possesses certain other properties. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: Sounds simple but important, especially in relation to the mind. We are left with the problem of how to individuate a property, and the possibility of 'basic' properties. |
| 4612 | Complex properties are just arrangements of simple properties; they do not "emerge" as separate [Heil] |
| Full Idea: Complex properties do not "emerge"; they are nothing "over and above" the properties of the simple constituents duly arranged. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: I am glad to see someone challenging the concept of 'emergence', which strikes me as incoherent. Small properties add up to macro-properties (like 'steep', or 'square'). |
| 4615 | Complex properties are not new properties, they are merely new combinations of properties [Heil] |
| Full Idea: New combinations of properties are just that: new combinations, not new properties. (This is not to reject complex properties, but only to reaffirm that complex properties are nothing over and above their constituents suitably arranged). | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: I wish I could be so confidence, but no one seems quite sure what a property is. Are they defined causally, or as 'qualities'? If the latter, what is a quality? Are there basic properties? Can properties merge to form a new one? |
| 4587 | From the property predicates P and Q, we can get 'P or Q', but it doesn't have to designate another property [Heil] |
| Full Idea: If P and Q are predicates denoting properties, we can construct a disjunctive predicate ('P or Q'). But it is not clear that this gives us any right whatever to suppose that 'P or Q' designates a property. | |
| From: John Heil (Philosophy of Mind [1998], Pref) | |
| A reaction: An important idea, needed to disentangle our ontology from our language, and realise that they are separate. Properties are natural; predicates are conventional. |
| 8959 | Field presumes properties can be eliminated from science [Field,H, by Szabó] |
| Full Idea: Field regards the eliminability of apparent reference to properties from the language of science as a foregone result. | |
| From: report of Hartry Field (Science without Numbers [1980]) by Zoltán Gendler Szabó - Nominalism 5.1 n50 | |
| A reaction: Field is a nominalist who also denies the existence of mathematics as part of science. He has a taste for ontological 'desert landscapes'. I have no idea what a property really is, so I think he is on to something. |
| 4611 | The supporters of 'tropes' treat objects as bundles of tropes, when I think objects 'possess' properties [Heil] |
| Full Idea: I resist the term 'trope' as it has become common for the proponents of tropes to regard objects as "bundles" of tropes. This turns tropes into something too much resembling parts of objects for my taste. .I think an object is a possessor of properties. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: This seems to imply a belief in 'substance', which is an intrinsically dodgy concept, but something has to exist. Keep ontology and epistemology separate! We can only know bundles of properties. |
| 18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
| Full Idea: To be able to apply any postulated abstract entities to the physical world, we need impure abstact entities, e.g. functions that map physical objects into pure abstract objects. | |
| From: Hartry Field (Science without Numbers [1980], 1) | |
| A reaction: I am a fan of 'impure metaphysics', and this pinpoints my reason very nicely. |
| 4592 | If you can have the boat without its current planks, and the planks with no boat, the planks aren't the boat [Heil] |
| Full Idea: If a boat can continue to exist after the planks that currently make it up have ceased to exist, and if the planks could continue to exist when the boat does not, then a boat cannot be identified with the planks that make it up at a given time. | |
| From: John Heil (Philosophy of Mind [1998], Ch.2) | |
| A reaction: This seems obvious, but it opposes Locke's claim that the particles of an object are its identity. Does this mean identities are entirely in our heads, and not a feature of nature? I want to resist that. |
| 4586 | You can't embrace the formal apparatus of possible worlds, but reject the ontology [Heil] |
| Full Idea: We should be suspicious of anyone who embraces the formal apparatus of possible worlds while rejecting the ontology. | |
| From: John Heil (Philosophy of Mind [1998], Pref) | |
| A reaction: What matters is that good philosophy should not duck the ontological implications of any apparatus. If only embracing the 'ontology of possible worlds' were a simple matter. What makes one world 'close' to another? |
| 4591 | Idealism explains appearances by identifying appearances with reality [Heil] |
| Full Idea: Idealism explains appearances by identifying appearances with reality. | |
| From: John Heil (Philosophy of Mind [1998], Ch.2) | |
| A reaction: Nicely put. There is a certain intellectual integrity about idealism, but it is still mad. The overall picture seems to me incoherent if we don't assume that appearances are bringing us close to reality (without ever quite getting there). |
| 18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
| Full Idea: A plausible methodological principle is that underlying every good extrinsic explanation there is an intrinsic explanation. | |
| From: Hartry Field (Science without Numbers [1980], 5) | |
| A reaction: I'm thinking that Hartry Field is an Aristotelian essentialist, though I bet he would never admit it. |
| 4610 | Different generations focus on either the quality of mind, or its scientific standing, or the content of thought [Heil] |
| Full Idea: One generation addresses the qualitative aspect of mentality, the next focuses on its scientific standing, its successor takes up the problem of mental content, then the cycle starts all over again… | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: This pinpoints the three interlinked questions. We seem to be currently obsessed with the quality of experience (the 'Hard Question'), but the biggest questions is how the three aspects fit together. If there are three necessities here, they must coexist. |
| 4618 | If minds are realised materially, it looks as if the material laws will pre-empt any causal role for mind [Heil] |
| Full Idea: If a mental property is realised by a material property, then it looks as though its material realiser pre-empts any causal contribution on the part of the realised mental property. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: This has a beautiful simplicity about it. I can see how some very odd phenomena might suddenly appear out of a physical combination, but not how entirely new causal laws can be created. |
| 4621 | Whatever exists has qualities, so it is no surprise that states of minds have qualities [Heil] |
| Full Idea: Whatever exists has qualities, so it is no surprise that states of minds have qualities. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: If only I knew what a 'quality' was. Do combinations have qualities in addition to the qualities of the components? A pair of trees, a pile of sand, a mass of neurons. |
| 4623 | Propositional attitudes are not the only intentional states; there is also mental imagery [Heil] |
| Full Idea: Some philosophers have thought that intentional states are exhausted by propositional attitudes, but what about mental imagery? You may have propositional attitudes to food, but I would wager that most of your thoughts about it are imagistic. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: Seems right. If I encounter an object by which I am bewildered, I may form no propositions at all about it, but I can still contemplate the object. |
| 4626 | The widespread externalist view says intentionality has content because of causal links of agent to world [Heil] |
| Full Idea: The prevailing 'externalist' line on intentionality regards intentional states of mind as owing their content (what they are of, or about) to causal relations agents bear to the world. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: This goes back to Putnam's Twin Earth. 'Meanings aren't in the head'. I may defer to experts about what 'elm' means, but I may also be arrogantly wrong about what 'juniper' means. |
| 4622 | Error must be possible in introspection, because error is possible in all judgements [Heil] |
| Full Idea: Error, like truth, presupposes judgement. Judgements you make about your conscious states are distinct from those states. This leaves room for error. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: This sounds very neat. The reply would have to be that a lot of introspection is not judgement, but direct perception of self-evident facts and truths. I agree with Heil. |
| 4590 | If causation is just regularities in events, the interaction of mind and body is not a special problem [Heil] |
| Full Idea: If causal relations boil down to nothing more than regularities (as Hume suggests), then it is a mistake to regard the absence of a mechanism or causal link between mental events and material events as a special problem. | |
| From: John Heil (Philosophy of Mind [1998], Ch.2) | |
| A reaction: So critics of Descartes who were baffled by interaction, were actually sniffing Hume's wholesale scepticism about necessary causation. Even so, physical conjunction is more tangible than spiritual conjunction. |
| 4614 | Disposition is a fundamental feature of reality, since basic particles are capable of endless possible interactions [Heil] |
| Full Idea: If there are elementary particles, then they are certainly capable of endless interactions beyond those in which they actually engage. Everything points to dispositionality being a fundamental feature of our world. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: I'm not convinced that my ontology has to include something called a 'disposition'. Dispositions are the consequence of how things are. Are there passive dispositions? |
| 4595 | No mental state entails inevitable behaviour, because other beliefs or desires may intervene [Heil] |
| Full Idea: Any attempt to say what behaviour follows from a given state of mind can be shown to be false by producing an example in which the state of mind is present but, owing to the addition of new beliefs and desires, the behaviour does not follow. | |
| From: John Heil (Philosophy of Mind [1998], Ch.3) | |
| A reaction: The objection seems misplaced against eliminative behaviourism, because there are held to be no mental states to correlate with the behavior. There is just behaviour, some times the same, sometimes different. |
| 4599 | Hearts are material, but functionalism says the property of being a heart is not a material property [Heil] |
| Full Idea: Although your heart is a material object, the property of being a heart is, if we accept the functionalist picture, not a material property. | |
| From: John Heil (Philosophy of Mind [1998], Ch.4) | |
| A reaction: Presumably functional properties are not physical because they are multiply realisable. The property of being a heart is more like a theoretical flow diagram than it is like a muscle. That word 'property' again… |
| 4624 | If you are a functionalist, there appears to be no room for qualia [Heil] |
| Full Idea: If you are a functionalist, there appears to be no room for qualia. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: The problem is not that qualia must be denied, but that there is strong pressure to class them as epiphenomena. However, a raw colour can have a causal role (e.g. in an art gallery). Best to say (with Chalmers?) that functions cause qualia? |
| 4601 | Higher-level sciences cannot be reduced, because their concepts mark boundaries invisible at lower levels [Heil] |
| Full Idea: The categories definitive of a given science mark off boundaries that are largely invisible within science at lower levels. That is why there is, in general, no prospect of reducing a higher-level science to a science at some lower level. | |
| From: John Heil (Philosophy of Mind [1998], Ch.4) | |
| A reaction: This sounds slick, but I am unconvinced. Molecules only exist at the level of chemistry, but they are built up out of physics, and the 'boundaries' could be explained in physics, if you had the knowledge and patience. |
| 4602 | Higher-level sciences designate real properties of objects, which are not reducible to lower levels [Heil] |
| Full Idea: The categories embedded in a higher-level science (psychology, for instance) designate genuine properties of objects, which are not reducible to properties found in sciences at lower levels. | |
| From: John Heil (Philosophy of Mind [1998], Ch.4) | |
| A reaction: This isn't an argument against reductionism. It is obviously true that someone with a physics degree won't make a good doctor. It's these wretched 'property' things again. Is 'found repulsive by me' a property terrorists? |
| 4593 | 'Property dualism' says mind and body are not substances, but distinct families of properties [Heil] |
| Full Idea: 'Property dualism' is the view according to which the mental and the physical are not distinguishable kinds of substance, but distinct families of properties. | |
| From: John Heil (Philosophy of Mind [1998], Ch.2 n) | |
| A reaction: I am struggling to make sense of properties being in distinct families. If it is like smells and colours, it doesn't say much, and if the difference is more profound then it begins to look like old-fashioned dualism in disguise. |
| 4597 | Early identity theory talked of mind and brain 'processes', but now the focus is properties [Heil] |
| Full Idea: The early identity theorists talked of identifying mental processes with brain processes, but I am now proposing it as a theory about properties. | |
| From: John Heil (Philosophy of Mind [1998], Ch.3) | |
| A reaction: Since a process is presumably composed of more basic ontological ingredients, this is presumably a good move, but there is still a vagueness about the whole concept of a 'property'. |
| 4609 | It seems contradictory to be asked to believe that we can be eliminativist about beliefs [Heil] |
| Full Idea: Some have argued that eliminativism about propositional attitudes is self-refuting. If no one believes anything, then how could we believe the eliminativist thesis? | |
| From: John Heil (Philosophy of Mind [1998], Ch.5) | |
| A reaction: Sounds slick, but it doesn't strike me as a big problem. Presumably you don't 'believe' eliminativism. You treat some of your brain processes as if they fell into the fictional category of 'belief'. |
| 4596 | The appeal of the identity theory is its simplicity, and its solution to the mental causation problem [Heil] |
| Full Idea: The identity theory is preferable to dualism since 1) if mental events are neurological, it is easy to explain causal relations between them, and 2) if we can account for mental phenomena by reference to brains and their properties, we don't need minds. | |
| From: John Heil (Philosophy of Mind [1998], Ch.3) | |
| A reaction: One might add that it fits into the overall scientific world, and permits the possible closure of physics. The challenge is that identity theory must 'save the phenomena'. |
| 4598 | Functionalists emphasise that mental processes are not to be reduced to what realises them [Heil] |
| Full Idea: The functionalists' point is that higher-level properties like being in pain or computing the sum of 7 and 5 are not to be identified with ("reduced to") or mistaken for their realisers. | |
| From: John Heil (Philosophy of Mind [1998], Ch.4) | |
| A reaction: I take it that functionalist minds can't be reduced because they are abstractions rather than physical entities. Nevertheless, the implied ontology seems to be entirely physical, and hence in some sense reductionist. |
| 4619 | 'Multiple realisability' needs to clearly distinguish low-level realisers from what is realised [Heil] |
| Full Idea: Proponents of multiple realisability regard it as vital to distinguish realised, higher-level properties from their lower-level realisers. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: So that the very idea of 'multiple realisability' begs the question. Minds are private, so it is never clear what has been realised, especially in non-linguistic brains. |
| 4620 | Multiple realisability is not a relation among properties, but an application of predicates to resembling things [Heil] |
| Full Idea: Multiple realisability is not a relation among properties; it is the phenomenon of predicates applying to objects in virtue of distinct, though pertinently similar, properties possessed by those objects. | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: The analogies for multiple realisability usually involve functions rather than properties or predicates (different types of corkscrew). Pain or belief in danger are not just 'predicates'. |
| 4594 | A scientist could know everything about the physiology of headaches, but never have had one [Heil] |
| Full Idea: Imagine a neuroscientist who is intimately familiar with the physiology of headaches, but who has never actually experienced a headache. | |
| From: John Heil (Philosophy of Mind [1998], Ch.3) | |
| A reaction: A more realistic version of Frank Jackson's 'Mary'. Doctors need to know that headaches are unpleasant; what they actually feel like seems irrelevant (epiphenomenal). What's it like to only have two pairs of shoes? |
| 4625 | Is mental imagery pictorial, or is it propositional? [Heil] |
| Full Idea: A fierce debate has raged between proponents of 'pictorial' conceptions of imagery (Kosslyn) and those who take imagery to be propositional (Pylyshyn). | |
| From: John Heil (Philosophy of Mind [1998], Ch.6) | |
| A reaction: This may not be a simple dilemma. Pure pictorial imagery seem possible (abstract patterns) and pure propositions are okay (maths), but in most thought they are inextricable. The image is the proposition (a nuclear cloud). |
| 4607 | Folk psychology and neuroscience are no more competitors than cartography and geology are [Heil] |
| Full Idea: Folk psychology and neuroscience are not competitors, any more than cartography and geology are competitors. | |
| From: John Heil (Philosophy of Mind [1998], Ch.5) | |
| A reaction: This seems true enough, unless someone like Fodor claims that the correct way to do neuroscience is to try to explicate folk psychology categories in terms of brain function. Folk psychology is fine for folk. |
| 9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
| Full Idea: The term 'abstract entities' may not be entirely clear, but one thing that does seem clear is that such alleged entities as numbers, functions and sets are abstract. | |
| From: Hartry Field (Science without Numbers [1980], p.1), quoted by JP Burgess / G Rosen - A Subject with No Object I.A.1.a | |
| A reaction: Field firmly denies the existence of such things. Sets don't seem a great problem, if the set is a herd of elephants, but the null and singleton sets show up the difficulties. |
| 4605 | Truth-conditions correspond to the idea of 'literal meaning' [Heil] |
| Full Idea: I intend the notion of truth-conditions to correspond to what I have called 'literal meaning'. | |
| From: John Heil (Philosophy of Mind [1998], Ch.5) | |
| A reaction: Yes. If I identify myself to you by saying "the spam is in the fridge", that always has a literal meaning (which we assemble from the words), as well as connotation in this particular context. |
| 4606 | To understand 'birds warble' and 'tigers growl', you must also understand 'tigers warble' [Heil] |
| Full Idea: There is something puzzling about the notion that someone could understand the sentences "birds warble" and "tigers growl", yet have no idea what the sentence "tigers warble" meant. | |
| From: John Heil (Philosophy of Mind [1998], Ch.5) | |
| A reaction: True enough, but this need not imply the full thesis of linguistic holism. Words are assembled like bricks. I know tigers might warble, but stones don't. Might fish warble? Or volcanoes? I must know that 'birds warble' is not a tautology. |
| 4604 | If propositions are abstract entities, how do human beings interact with them? [Heil] |
| Full Idea: Anyone who takes propositions to be abstract entities owes the rest of us an account of how human beings could interact with such things. | |
| From: John Heil (Philosophy of Mind [1998], Ch.5) | |
| A reaction: He makes this sound impossible, but that would mean that all abstraction is impossible, and there are no such things as ideas and concepts. In the end something has to be miraculous, so let it be our ability to think about abstractions. |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 18223 | In theories of fields, space-time points or regions are causal agents [Field,H] |
| Full Idea: According to theories that take the notion of a field seriously, space-time points or regions are fully-fledge causal agents. | |
| From: Hartry Field (Science without Numbers [1980], n 23) |
| 18220 | Both philosophy and physics now make substantivalism more attractive [Field,H] |
| Full Idea: In general, it seems to me that recent developments in both philosophy and physics have made substantivalism a much more attractive position than it once was. | |
| From: Hartry Field (Science without Numbers [1980], 4) | |
| A reaction: I'm intrigued as to what philosophical developments are involved in this. The arrival of fields is the development in physics. |
| 18219 | Relational space is problematic if you take the idea of a field seriously [Field,H] |
| Full Idea: The problem of the relational view of space is especially acute in the context of physical theories that take the notion of a field seriously, e.g. classical electromagnetic theory. | |
| From: Hartry Field (Science without Numbers [1980], 4) | |
| A reaction: In the Leibniz-Clarke debate I sided with the Newtonian Clarke (defending absolute space), and it looks like modern science agrees with me. Nothing exists purely as relations. |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |