105 ideas
| 4194 | Metaphysics is concerned with the fundamental structure of reality as a whole [Lowe] |
| Full Idea: Metaphysics is concerned with the fundamental structure of reality as a whole. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.2) | |
| A reaction: I think it is vital to hang on to this big definition, focusing on ontology, and not retreat (like Kant) to the epistemological question of how humans happen to see reality, even if we are stuck with being humans. |
| 19199 | Some say metaphysics is a highly generalised empirical study of objects [Tarski] |
| Full Idea: For some people metaphysics is a general theory of objects (ontology) - a discipline which is to be developed in a purely empirical way, and which differs from other empirical disciplines in its generality. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 19) | |
| A reaction: Tarski says some people despise it, but for him such metaphysics is 'not objectionable'. I subscribe to this view, but the empirical aspect is very remote, because it's too general for detail observation or experiment. Generality is the key to philosophy. |
| 4214 | Maybe such concepts as causation, identity and existence are primitive and irreducible [Lowe] |
| Full Idea: It may well be that after all our attempts at analysis, we have to accept the notions of causality, identity and existence as being primitive and irreducible. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.191) | |
| A reaction: They may be irreducible, but it seems possible that the relationships between them might be revealed (as between Platonic Forms). To exist is to have identity and causal powers? |
| 19193 | Disputes that fail to use precise scientific terminology are all meaningless [Tarski] |
| Full Idea: Disputes like the vague one about 'the right conception of truth' occur in all domains where, instead of exact, scientific terminology, common language with its vagueness and ambiguity is used; and they are always meaningless, and therefore in vain. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 14) | |
| A reaction: Taski taught a large number of famous philosophers in California in the 1950s, and this approach has had a huge influence. Recently there has been a bit of a rebellion. E.g. Kit Fine doesn't think it can all be done in formal languages. |
| 4222 | If all that exists is what is being measured, what about the people and instruments doing the measuring? [Lowe] |
| Full Idea: If we think, in a positivistic spirit, that only measurements and observations exist, this is strikingly naďve. The scientists and their instruments can't be composed merely of measurements. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.234) | |
| A reaction: A strong rebuff to crude positivism and 'operationalism'. Such mistakes are the usual confusion of epistemology and ontology. |
| 224 | When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato] |
| Full Idea: Doubtful questions should not be discussed in terms of visible objects or in relation to them, but only with reference to ideas conceived by the intellect. | |
| From: Plato (Parmenides [c.364 BCE], 135e) |
| 232 | Opposites are as unlike as possible [Plato] |
| Full Idea: Opposites are as unlike as possible. | |
| From: Plato (Parmenides [c.364 BCE], 159a) |
| 4217 | It is more extravagant, in general, to revise one's logic than to augment one's ontology [Lowe] |
| Full Idea: It is more extravagant, in general, to revise one's logic than to augment one's ontology. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.219) | |
| A reaction: Meaning there are stronger principles of thought which can trump Ockham's Razor. A few more entities won't hurt. Sound right. |
| 8937 | Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato] |
| Full Idea: Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic. | |
| From: comment on Plato (Parmenides [c.364 BCE]) by Georg W.F.Hegel - Phenomenology of Spirit Pref 71 | |
| A reaction: It is a long way from the analytic tradition of philosophy to be singling out a classic text for its 'artistic' achievement. Eventually we may even look back on, say, Kripke's 'Naming and Necessity' and see it in that light. |
| 19179 | For a definition we need the words or concepts used, the rules, and the structure of the language [Tarski] |
| Full Idea: We must specify the words or concepts which we wish to use in defining the notion of truth; and we must also give the formal rules to which the definition should conform. More generally, we must describe the formal structure of the language. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 01) | |
| A reaction: This, of course, is a highly formal view of how definition should be achieved, offered in anticipation of one of the most famous definitions in logic (of truth, by Tarski). Normally we assume English and classical logic. |
| 19178 | Definitions of truth should not introduce a new version of the concept, but capture the old one [Tarski] |
| Full Idea: The desired definition of truth does not aim to specify the meaning of a familiar word used to denote a novel notion; on the contrary, it aims to catch hold of the actual meaning of an old notion. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 01) | |
| A reaction: Tarski refers back to Aristotle for an account of the 'old notion'. To many the definition of Tarski looks very weird, so it is important to see that he is trying to capture the original concept. |
| 19177 | A definition of truth should be materially adequate and formally correct [Tarski] |
| Full Idea: The main problem of the notion of truth is to give a satisfactory definition which is materially adequate and formally correct. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 01) | |
| A reaction: That is, I take it, that it covers all cases of being true and failing to be true, and it fits in with the logic. The logic is explicitly classical logic, and he is not aiming to give the 'nature' or natural language understanding of the concept. |
| 19186 | A rigorous definition of truth is only possible in an exactly specified language [Tarski] |
| Full Idea: The problem of the definition of truth obtains a precise meaning and can be solved in a rigorous way only for those languages whose structure has been exactly specified. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 06) | |
| A reaction: Taski has just stated how to exactly specify the structure of a language. He says definition can only be vague and approximate for natural languages. (The usual criticism of the correspondence theory is its vagueness). |
| 19194 | We may eventually need to split the word 'true' into several less ambiguous terms [Tarski] |
| Full Idea: A time may come when we find ourselves confronted with several incompatible, but equally clear and precise, conceptions of truth. It will then become necessary to abandon the ambiguous usage of the word 'true', and introduce several terms instead. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 14) | |
| A reaction: There may be a whiff of the pragmatic attitude to truth here, though that view is not necessarily pluralist. Analytic philosophy needs much more splitting of difficult terms into several more focused terms. |
| 19180 | It is convenient to attach 'true' to sentences, and hence the language must be specified [Tarski] |
| Full Idea: For several reasons it appears most convenient to apply the term 'true' to sentences, and we shall follow this course. Consequently, we must always relate the notion of truth, like that of a sentence, to a specific language. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 02) | |
| A reaction: Personally I take truth to attach to propositions, since sentences are ambiguous. In Idea 17308 the one sentence expresses three different truths (in my opinion), even though a single sentence (given in the object language) specifies it. |
| 19181 | In the classical concept of truth, 'snow is white' is true if snow is white [Tarski] |
| Full Idea: If we base ourselves on the classical conception of truth, we shall say that the sentence 'snow is white' is true if snow is white, and it is false if snow is not white. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 04) | |
| A reaction: I had not realised, prior to his, how closely Tarski is sticking to Aristotle's famous formulation of truth. The point is that you can only specify 'what is' using a language. Putting 'true' in the metalanguage gives specific content to Aristotle. |
| 19196 | Scheme (T) is not a definition of truth [Tarski] |
| Full Idea: It is a mistake to regard scheme (T) as a definition of truth. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 15) | |
| A reaction: The point is, I take it, that the definition is the multitude of sentences which are generated by the schema, not the schema itself. |
| 19183 | Each interpreted T-sentence is a partial definition of truth; the whole definition is their conjunction [Tarski] |
| Full Idea: In 'X is true iff p' if we replace X by the name of a sentence and p by a particular sentence this can be considered a partial definition of truth. The whole definition has to be ...a logical conjunction of all these partial definitions. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 04) | |
| A reaction: This seems an unprecedented and odd way to define something. Define 'red' by '"This tomato is red" iff this tomato is red', etc? Define 'stone' by collecting together all the stones? The complex T-sentences are infinite in number. |
| 19182 | Use 'true' so that all T-sentences can be asserted, and the definition will then be 'adequate' [Tarski] |
| Full Idea: We wish to use the term 'true' in such a way that all the equivalences of the form (T) [i.e. X is true iff p] can be asserted, and we shall call a definition of truth 'adequate' if all these equivalences follow from it. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 04) | |
| A reaction: The interpretation of Tarski's theory is difficult. From this I'm thinking that 'true' is simply being defined as 'assertible'. This is the status of each line in a logical proof, if there is a semantic dimension to the proof (and not mere syntax). |
| 19198 | We don't give conditions for asserting 'snow is white'; just that assertion implies 'snow is white' is true [Tarski] |
| Full Idea: Semantic truth implies nothing regarding the conditions under which 'snow is white' can be asserted. It implies only that, whenever we assert or reject this sentence, we must be ready to assert or reject the correlated sentence '"snow is white" is true'. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 18) | |
| A reaction: This appears to identify truth with assertibility, which is pretty much what modern pragmatists say. How do you distinguish 'genuine' assertion from rhetorical, teasing or lying assertions? Genuine assertion implies truth? Hm. |
| 19184 | The best truth definition involves other semantic notions, like satisfaction (relating terms and objects) [Tarski] |
| Full Idea: It turns out that the simplest and most natural way of obtaining an exact definition of truth is one which involves the use of other semantic notions, e.g. the notion of satisfaction (...which expresses relations between expressions and objects). | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 05) | |
| A reaction: While the T-sentences appear to be 'minimal' and 'deflationary', it seems important to remember that 'satisfaction', which is basic to his theory, is a very robust notion. He actually mentions 'objects'. But see Idea 19185. |
| 19191 | Specify satisfaction for simple sentences, then compounds; true sentences are satisfied by all objects [Tarski] |
| Full Idea: To define satisfaction we indicate which objects satisfy the simplest sentential functions, then state the conditions for compound functions. This applies automatically to sentences (with no free variables) so a true sentence is satisfied by all objects. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 11) | |
| A reaction: I presume nothing in the domain of objects can conflict with a sentence that has been satisfied by some of them, so 'all' the objects satisfy the sentence. Tarski doesn't use the word 'domain'. Basic satisfaction seems to be stipulated. |
| 19188 | We can't use a semantically closed language, or ditch our logic, so a meta-language is needed [Tarski] |
| Full Idea: In a 'semantically closed' language all sentences which determine the adequate usage of 'true' can be asserted in the language. ...We can't change our logic, so we reject such languages. ...So must use two different languages to discuss truth. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 08-09) | |
| A reaction: This section explains why a meta-language is required. It rests entirely on the existence of the Liar paradox is a semantically closed language. |
| 19189 | The metalanguage must contain the object language, logic, and defined semantics [Tarski] |
| Full Idea: Every sentence which occurs in the object language must also occur in the metalanguage, or can be translated into the metalanguage. There must also be logical terms, ...and semantic terms can only be introduced in the metalanguage by definition. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 09) | |
| A reaction: He suggest that if the languages are 'typed', the meta-languag, to be 'richer', must contain variables of a higher logica type. Does this mean second-order logic? |
| 10824 | If listing equivalences is a reduction of truth, witchcraft is just a list of witch-victim pairs [Field,H on Tarski] |
| Full Idea: By similar standards of reduction to Tarski's, one might prove witchcraft compatible with physicalism, as long as witches cast only a finite number of spells. We merely list witch-and-victim pairs, with no mention of the terms of witchcraft theory. | |
| From: comment on Alfred Tarski (The Semantic Conception of Truth [1944], 04) by Hartry Field - Tarski's Theory of Truth §4 |
| 19190 | We need an undefined term 'true' in the meta-language, specified by axioms [Tarski] |
| Full Idea: We have to include the term 'true', or some other semantic term, in the list of undefined terms of the meta-language, and to express fundamental properties of the notion of truth in a series of axioms. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 10) | |
| A reaction: It sounds as if Tarski semantic theory gives truth for the object language, but then an axiomatic theory of truth is also needed for the metalanguage. Halbch and Horsten seem to want an axiomatic theory in the object language. |
| 19197 | Truth can't be eliminated from universal claims, or from particular unspecified claims [Tarski] |
| Full Idea: Truth can't be eliminated from universal statements saying all sentences of a certain type are true, or from the proof that 'all consequences of true sentences are true'. It is also needed if we can't name the sentence ('Plato's first sentence is true'). | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 16) | |
| A reaction: This points to the deflationary view of truth, if its only role is in talking about other sentences in this way. Tarski gives the standard reason for rejecting the Redundancy view. |
| 19185 | Semantics is a very modest discipline which solves no real problems [Tarski] |
| Full Idea: Semantics as it is conceived in this paper is a sober and modest discipline which has no pretensions to being a universal patent-medicine for all the ills and diseases of mankind, whether imaginary or real. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 05) | |
| A reaction: Written in 1944. This remark encourages the minimal or deflationary interpretation of his theory of truth, but see the robust use of 'satisfaction' in Idea 19184. |
| 19195 | Truth tables give prior conditions for logic, but are outside the system, and not definitions [Tarski] |
| Full Idea: Logical sentences are often assigned preliminary conditions under which they are true or false (often given as truth tables). However, these are outside the system of logic, and should not be regarded as definitions of the terms involved. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 15) | |
| A reaction: Hence, presumably, the connectives are primitives (with no nature or meaning), and the truth tables are axioms for their use? This opinion of Tarski's may have helped shift the preference towards natural deduction introduction and elimination rules. |
| 19192 | The truth definition proves semantic contradiction and excluded middle laws (not the logic laws) [Tarski] |
| Full Idea: With our definition of truth we can prove the laws of contradiction and excluded middle. These semantic laws should not be identified with the related logical laws, which belong to the sentential calculus, and do not involve 'true' at all. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 12) | |
| A reaction: Very illuminating. I wish modern thinkers could be so clear about this matter. The logic contains 'P or not-P'. The semantics contains 'P is either true or false'. Critics say Tarski has presupposed 'classical' logic. |
| 13986 | Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle] |
| Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies. | |
| From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections' |
| 14150 | Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato] |
| Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made. | |
| From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337 |
| 4229 | An infinite series of tasks can't be completed because it has no last member [Lowe] |
| Full Idea: It appears to be impossible to complete an infinite series of tasks, since such a series has, by definition, no last member. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.290) | |
| A reaction: This pinpoints the problem. So are there infinite tasks in a paradox of subdivision like the Achilles? |
| 19187 | The Liar makes us assert a false sentence, so it must be taken seriously [Tarski] |
| Full Idea: In my judgement, it would be quite wrong and dangerous from the point of view of scientific progress to depreciate the importance of nhtinomies like the Liar Paradox, and treat them as jokes. The fact is we have been compelled to assert a false sentence. | |
| From: Alfred Tarski (The Semantic Conception of Truth [1944], 07) | |
| A reaction: This is the heartfelt cry of the perfectionist, who wants everything under control. It was the dream of the age of Frege to Hilbert, which gradually eroded after Gödel's Incompleteness proof. Short ordinary folk panic about the Liar? |
| 4240 | It might be argued that mathematics does not, or should not, aim at truth [Lowe] |
| Full Idea: It might be argued that mathematics does not, or should not, aim at truth. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.375) | |
| A reaction: Intriguing. Sounds wrong to me. At least maths seems to need the idea of the 'correct' answer. If, however, maths is a huge pattern, there is no correctness, just the pattern. We can be wrong, but maths can't be wrong. Ah, I see…! |
| 16150 | One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato] |
| Full Idea: If one is, there must also necessarily be number - Necessarily - But if there is number, there would be many, and an unlimited multitude of beings. ..So if all partakes of being, each part of number would also partake of it. | |
| From: Plato (Parmenides [c.364 BCE], 144a) | |
| A reaction: This seems to commit to numbers having being, then to too many numbers, and hence to too much being - but without backing down and wondering whether numbers had being after all. Aristotle disagreed. |
| 4241 | If there are infinite numbers and finite concrete objects, this implies that numbers are abstract objects [Lowe] |
| Full Idea: The Peano postulates imply an infinity of numbers, but there are probably not infinitely many concrete objects in existence, so natural numbers must be abstract objects. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.375) | |
| A reaction: Presumably they are abstract objects even if they aren't universals. 'Abstract' is an essential term in our ontological vocabulary to cover such cases. Perhaps possible concrete objects are infinite. |
| 229 | The one was and is and will be and was becoming and is becoming and will become [Plato] |
| Full Idea: The one was and is and will be and was becoming and is becoming and will become. | |
| From: Plato (Parmenides [c.364 BCE], 155d) |
| 21821 | Plato's Parmenides has a three-part theory, of Primal One, a One-Many, and a One-and-Many [Plato, by Plotinus] |
| Full Idea: The Platonic Parmenides is more exact [than Parmenides himself]; the distinction is made between the Primal One, a strictly pure Unity, and a secondary One which is a One-Many, and a third which is a One-and-Many. | |
| From: report of Plato (Parmenides [c.364 BCE]) by Plotinus - The Enneads 5.1.08 | |
| A reaction: Plotinus approves of this three-part theory. Parmenides has the problem that the highest Being contains no movement. By placing the One outside Being you can give it powers which an existent thing cannot have. Cf the concept of God. |
| 4239 | Nominalists deny abstract objects, because we can have no reason to believe in their existence [Lowe] |
| Full Idea: Nominalists tend to deny the existence of abstract objects since, given their purported nature (non-causal), we can have no reason to believe in their existence. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.372) | |
| A reaction: A good point. Aristotle worried about the causal inadequacy of the Forms. My mind can conceive of a 'thing' with no causal powers, just sitting there. |
| 4202 | Change can be of composition (the component parts), or quality (properties), or substance [Lowe] |
| Full Idea: There seem to be three kinds of change: compositional change (of component parts), qualitative change (of properties), or substantial change (when underlying essence begins or ceases). | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.59) | |
| A reaction: Notice this gives 'components' a more prominent ontological status than usual. Is this computer a component of my study? |
| 4201 | Four theories of qualitative change are 'a is F now', or 'a is F-at-t', or 'a-at-t is F', or 'a is-at-t F' [Lowe, by PG] |
| Full Idea: Qualitative change is seen as either (i) 'Presentism' - 'a is F now', or (ii) 'relational properties' - 'a is F-at-t', or (iii) 'temporal parts' - 'a-at-t is F', or (iv) 'adverbial' - 'a is-a-t F'. | |
| From: report of E.J. Lowe (A Survey of Metaphysics [2002], p.44) by PG - Db (ideas) | |
| A reaction: The traditional view would let a stay the same over time, and change its property (ii). Lewis favours (iii). My suspicion is that thinking collapses if you abandon the tradtional view. |
| 4219 | Numerically distinct events of the same kind (like two battles) can coincide in space and time [Lowe] |
| Full Idea: Numerically distinct events of the same kind (like two battles) can plausible coincide in space and time. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.225) | |
| A reaction: This is certainly discouraging for anyone who wanted to make events ontologically basic. Physicalist need to be able to individuate events in a reductive way. |
| 4221 | Maybe modern physics requires an event-ontology, rather than a thing-ontology [Lowe] |
| Full Idea: It is sometimes said that modern physics requires us to espouse an event-ontology, rather than a thing-ontology. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.233) | |
| A reaction: It has to be a mistake to build our philosophical ontology on current physics, because even the physicists say they don't understand the latter very well. |
| 4220 | Maybe an event is the exemplification of a property at a time [Lowe] |
| Full Idea: Maybe an event is the exemplification of a property at a time. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.229) | |
| A reaction: What exactly would 'exemplify' mean here? This probably turns out to be circular when you attempt to explain what a property is. |
| 4225 | Events are changes in the properties of or relations between things [Lowe] |
| Full Idea: My own preference is for a conception of events which reduces them to changes in the properties of or relations between things. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.245) | |
| A reaction: Changes of property and changes of relations are two very different things. Is a 'near miss' an event? If so, is any movement an event? If movement is relative, then so are events. |
| 221 | Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato] |
| Full Idea: The absolute good and the beautiful and all which we conceive to be absolute ideas are unknown to us. | |
| From: Plato (Parmenides [c.364 BCE], 134c) |
| 4196 | The main categories of existence are either universal and particular, or abstract and concrete [Lowe] |
| Full Idea: Some metaphysicians think the fundamental categories of existence are universals and particulars, while other prefer the division between abstract and concrete. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.15) | |
| A reaction: Interestingly, in trying to choose between these, it is tempting to think about the capacities of the brain. Which is the cart and which is the horse? |
| 4234 | Trope theory says blueness is a real feature of objects, but not the same as an identical blue found elsewhere [Lowe] |
| Full Idea: The trope theorist holds that the blueness of a blue chair really exists as much as the chair, but is not identified with the blueness of anything else, even if it resembles it exactly. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.361) | |
| A reaction: You are left with explaining how 'resemblance' works if you cannot spot some 'thing' in common. It is an inviting idea, though, because it avoids the ontological baggage of universals. |
| 4235 | Maybe a cushion is just a bundle of tropes, such as roundness, blueness and softness [Lowe] |
| Full Idea: The trope theorist says that a cushion is just a 'bundle' of tropes, such as roundness, blueness and softness. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.362) | |
| A reaction: Certainly if you dispense with the idea of substance (which is clearly bad science even if it is good metaphysics), something like this is what remains of a cushion, though it sounds more epistemological than ontological. Only philosophers care about this |
| 4236 | Tropes seem to be abstract entities, because they can't exist alone, but must come in bundles [Lowe] |
| Full Idea: Tropes seem to be abstract entities because, unlike concrete entities, they are ontologically dependent; ..there are no 'free' tropes, and they must always be bundled with other appropriate tropes to exist. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.367) | |
| A reaction: Only a Platonist would think that a universal property could 'exist alone'. I presume Aristotle thought universals were real, though bound up with substances. |
| 4197 | The category of universals can be sub-divided into properties and relations [Lowe] |
| Full Idea: One might want to divide the category of 'universals' into two sub-categories of properties and relations. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.15) | |
| A reaction: This means a Platonic form like 'horse' ends up as a cluster of properties and relations. Is a substance not also a universal? |
| 223 | If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato] |
| Full Idea: If a person denies that the idea of each thing is always the same, he will utterly destroy the power of carrying on discussion. | |
| From: Plato (Parmenides [c.364 BCE], 135c) |
| 227 | You must always mean the same thing when you utter the same name [Plato] |
| Full Idea: You must always mean the same thing when you utter the same name. | |
| From: Plato (Parmenides [c.364 BCE], 147d) |
| 210 | It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato] |
| Full Idea: Are there abstract ideas for such things as hair, mud and dirt, which are particularly vile and worthless? That would be quite absurd. | |
| From: Plato (Parmenides [c.364 BCE], 130d) |
| 220 | The concept of a master includes the concept of a slave [Plato] |
| Full Idea: Mastership in the abstract is mastership of slavery in the abstract. | |
| From: Plato (Parmenides [c.364 BCE], 133e) |
| 211 | If admirable things have Forms, maybe everything else does as well [Plato] |
| Full Idea: It is troubling that if admirable things have abstract ideas, then perhaps everything else must have ideas as well. | |
| From: Plato (Parmenides [c.364 BCE], 130d) |
| 219 | If absolute ideas existed in us, they would cease to be absolute [Plato] |
| Full Idea: None of the absolute ideas exists in us, because then it would no longer be absolute. | |
| From: Plato (Parmenides [c.364 BCE], 133c) |
| 228 | Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato] |
| Full Idea: These two ideas, greatness and smallness, exist, do they not? For if they did not exist, they could not be opposites of one another, and could not come into being in things. | |
| From: Plato (Parmenides [c.364 BCE], 149e) |
| 16151 | Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M] |
| Full Idea: It seems to me that Plato in the later dialogues, beginning with the second half of 'Parmenides', wants to substitute a theory of genera and theory of principles that constitute these genera for the earlier theory of forms. | |
| From: report of Plato (Parmenides [c.364 BCE]) by Michael Frede - Title, Unity, Authenticity of the 'Categories' V | |
| A reaction: My theory is that the later Plato came under the influence of the brilliant young Aristotle, and this idea is a symptom of it. The theory of 'principles' sounds like hylomorphism to me. |
| 218 | Participation is not by means of similarity, so we are looking for some other method of participation [Plato] |
| Full Idea: Participation is not by means of likeness, so we must seek some other method of participation. | |
| From: Plato (Parmenides [c.364 BCE], 133a) |
| 215 | If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato] |
| Full Idea: If all things partake of ideas, must either everything be made of thoughts and everything thinks, or everything is thought, and so can't think? | |
| From: Plato (Parmenides [c.364 BCE], 132c) |
| 213 | Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato] |
| Full Idea: Just as day is in many places at once, but not separated from itself, so each idea might be in all its participants at once. | |
| From: Plato (Parmenides [c.364 BCE], 131b) |
| 216 | If things are made alike by participating in something, that thing will be the absolute idea [Plato] |
| Full Idea: That by participation in which like things are made like, will be the absolute idea, will it not? | |
| From: Plato (Parmenides [c.364 BCE], 132e) |
| 212 | The whole idea of each Form must be found in each thing which participates in it [Plato] |
| Full Idea: The whole idea of each form (of beauty, justice etc) must be found in each thing which participates in it. | |
| From: Plato (Parmenides [c.364 BCE], 131a) |
| 217 | Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato] |
| Full Idea: It is impossible for anything to be like an absolute idea, because a third idea will appear to make them alike, and if that is like anything, it will lead to another idea, and so on. | |
| From: Plato (Parmenides [c.364 BCE], 133a) |
| 214 | If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato] |
| Full Idea: If you regard the absolute great and the many great things in the same way, will not another appear beyond, by which all these must appear to be great? | |
| From: Plato (Parmenides [c.364 BCE], 132a) |
| 4232 | Nominalists believe that only particulars exist [Lowe] |
| Full Idea: Nominalists believe that only particulars exist. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.352) | |
| A reaction: A neat definition. Hence they deny universals. I suspect that nominalism is incoherent. Rational thought seems easy to create with universals, impossible with just particulars. Robotics is nominalist, which is why it will fail. |
| 4205 | 'Is non-self-exemplifying' is a predicate which cannot denote a property (as it would be a contradiction) [Lowe] |
| Full Idea: Not every meaningful predicate expresses an existing property; thus 'is non-self-exemplifying' cannot refer to a property, because the property would contradict the predicate. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.100) | |
| A reaction: Needs thought. The example is based on Russell's so-called Barber's Paradox. If it can't be a property, can it be a predicate? |
| 4233 | If 'blueness' is a set of particulars, there is danger of circularity, or using universals, in identifying the set [Lowe] |
| Full Idea: If sets are particulars, a nominalist may say that 'blueness' is a set of particulars, but which set? If the particulars 'are blue' this threatens circularity - though resemblance is usually appealed to to avoid this. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.355) | |
| A reaction: This supports my suspicion that nominalism is superficially attractive and 'scientific', but when you dig deep into it the theory won't get off the ground without universals. |
| 4206 | Conventionalists see the world as an amorphous lump without identities, but are we part of the lump? [Lowe] |
| Full Idea: For the conventionalist the world is doomed to merge into an amorphous lump with no real individuality or differentiation, ..but we can hardly make our own identity in the world in the way we are supposed to conventionally create identity for objects. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.113) | |
| A reaction: Very nice argument! We need to 'cut nature at the joints' (Plato), and one joint is screamingly obvious - that between observer and world. You could try denying this, but it would be a bizarre view. |
| 15851 | Parts must belong to a created thing with a distinct form [Plato] |
| Full Idea: The part would not be the part of many things or all, but of some one character ['ideas'] and of some one thing, which we call a 'whole', since it has come to be one complete [perfected] thing composed [created] of all. | |
| From: Plato (Parmenides [c.364 BCE], 157d) | |
| A reaction: A serious shot by Plato at what identity is. Harte quotes it (125) and shows that 'character' is Gk 'idea', and 'composed' will translate as 'created'. 'Form' links this Platonic passage to Aristotle's hylomorphism. |
| 4204 | Statues can't survive much change to their shape, unlike lumps of bronze, which must retain material [Lowe] |
| Full Idea: A statue is a kind of object which cannot survive much change to its shape, unlike a lump of bronze, which cannot survive any change to its material composition. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.70) | |
| A reaction: Also the statue could survive being hollowed out, changing its material composition. Hence a statue is not just a lump of bronze, but we knew that. |
| 15846 | In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V] |
| Full Idea: At the heart of the 'Parmenides' puzzles about composition is the thesis that composition is identity. Considered thus, a whole adds nothing to an ontology that already includes its parts | |
| From: report of Plato (Parmenides [c.364 BCE]) by Verity Harte - Plato on Parts and Wholes 2.5 | |
| A reaction: There has to be more to a unified identity that mere proximity of the parts. When do parts come together, and when do they actually 'compose' something? |
| 15849 | Plato says only a one has parts, and a many does not [Plato, by Harte,V] |
| Full Idea: In 'Parmenides' it is argued that a part cannot be part of a many, but must be part of something one. | |
| From: report of Plato (Parmenides [c.364 BCE], 157c) by Verity Harte - Plato on Parts and Wholes 3.2 | |
| A reaction: This looks like the right way to go with the term 'part'. We presuppose a unity before we even talk of its parts, so we can't get into contradictions and paradoxes about their relationships. |
| 15850 | Anything which has parts must be one thing, and parts are of a one, not of a many [Plato] |
| Full Idea: The whole of which the parts are parts must be one thing composed of many; for each of the parts must be part, not of a many, but of a whole. | |
| From: Plato (Parmenides [c.364 BCE], 157c) | |
| A reaction: This is a key move of metaphysics, and we should hang on to it. The other way madness lies. |
| 13259 | It seems that the One must be composed of parts, which contradicts its being one [Plato] |
| Full Idea: The One must be composed of parts, both being a whole and having parts. So on both grounds the One would thus be many and not one. But it must be not many, but one. So if the One will be one, it will neither be a whole, nor have parts. | |
| From: Plato (Parmenides [c.364 BCE], 137c09), quoted by Kathrin Koslicki - The Structure of Objects 5.2 | |
| A reaction: This is the starting point for Plato's metaphysical discussion of objects. It seems to begin a line of thought which is completed by Aristotle, surmising that only an essential structure can bestow identity on a bunch of parts. |
| 4200 | If old parts are stored and then appropriated, they are no longer part of the original (which is the renovated ship). [Lowe] |
| Full Idea: The parts of a ship in a warehouse belong to no ship at all, ..and once they are appropriated by another ship they cease to be parts of the original, ..so it seems that the renovated ship (not the reconstruction) is identified with the original. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.31) | |
| A reaction: The parts in the warehouse could belong to the original (they might even labelled), but assigning them to a new ship does indeed look like a crucial break in the continuity. |
| 4198 | If 5% replacement preserves a ship, we can replace 4% and 4% again, and still retain the ship [Lowe] |
| Full Idea: If we say that up to 5% of a ship's parts can be replaced without the ship ceasing to exist, we could replace 4% and then 4% again, and it would retain its identity, if identity is transitive. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.26) | |
| A reaction: One suspected that all attempts at precision with the ship of Theseus were doomed, but this nicely demonstrates it. |
| 4199 | A renovation or a reconstruction of an original ship would be accepted, as long as the other one didn't exist [Lowe] |
| Full Idea: If a ship is renovated without reconstruction of original parts, we happily identify the renovation with the original; if there was a reconstruction without the renovated version, we would identify the reconstruction with the original. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.27) | |
| A reaction: This really shakes our belief in identity as a natural rather than mental phenomenon. The existence of clones undermines our normal idea of personal identity. |
| 15847 | Two things relate either as same or different, or part of a whole, or the whole of the part [Plato] |
| Full Idea: Everything is surely related to everything as follows: either it is the same or different; or, if it is not the same or different, it would be related as part to whole or as whole to part. | |
| From: Plato (Parmenides [c.364 BCE], 146b) | |
| A reaction: This strikes me as a really helpful first step in trying to analyse the nature of identity. Two things are either two or (actually) one, or related mereologically. |
| 4203 | Identity of Indiscernibles (same properties, same thing) ) is not Leibniz's Law (same thing, same properties) [Lowe] |
| Full Idea: The Identity of Indiscernibles (no two objects can possess exactly the same properties) is not the same as Leibniz's Law (what is true of a thing is true of what is identical with that thing). | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.62) | |
| A reaction: Two things can't be the same because we can't discern the difference, which may be our inadequacy. But if they actually have identical properties, it is hard to see how they could be different. A universe with just two perfect spheres is couterexample. |
| 4195 | It is impossible to reach a valid false conclusion from true premises, so reason itself depends on possibility [Lowe] |
| Full Idea: Reasoning itself depends upon a grasp of possibilities, because a valid argument is one in which it is not possible for the conclusion to be false if the premises are true. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.11) | |
| A reaction: A very valuable corrective to my pessimistic view of philosophers' attempts to understand metaphysical necessity. But if we can only grasp natural necessity, then all reason is naturalistic. |
| 4207 | We might eliminate 'possible' and 'necessary' in favour of quantification over possible worlds [Lowe] |
| Full Idea: It may be possible to eliminate the modal operators (in English, 'is possible' and 'is necessary') in favour of quantifier expressions with variables ranging over possible worlds. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.121) | |
| A reaction: Hence 'necessary' becomes 'exists/is true in all possible worlds'. Deep problems, but at least we must show that referring to 'possible' worlds isn't a circular explanation of 'is possible'. |
| 4223 | Unfalsifiability may be a failure in an empirical theory, but it is a virtue in metaphysics [Lowe] |
| Full Idea: Although unfalsifiability is probably a defect in scientific hypothesis, because it is deprived of empirical content, it seems rather to be a virtue in a metaphysical hypothesis. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.241) | |
| A reaction: Presumably nothing could ever be found to count against a necessary truth. A nice point. 'Find me an instance where 2+2 is not 4'. |
| 4193 | The behaviour of persons and social groups seems to need rational rather than causal explanation [Lowe] |
| Full Idea: There are some entities which exist in time and space (such as persons or social groups) of which the behaviour seems to be subject to rational rather than merely causal explanation. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.2) | |
| A reaction: This begs of the question of whether 'rational' can be reduced to causal. We can't manage causal explanations of the very complex, so we use broad-brush second-best explanations? |
| 4238 | The centre of mass of the solar system is a non-causal abstract object, despite having a location [Lowe] |
| Full Idea: The centre of mass of the solar system seems to lack causal powers, and so is an abstract object, even though it has a location and movement. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.368) | |
| A reaction: Nice example, with rich ramifications. Abstraction is deeply tied into our understanding of the physical world, and our concept of identity. |
| 4237 | Concrete and abstract objects are distinct because the former have causal powers and relations [Lowe] |
| Full Idea: Concrete objects possess causal powers and relations, but abstract objects are incapable of having causal powers or relations. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.368) | |
| A reaction: Is this an observation or a definition? One might claim that an abstraction (such as a political ideal) can acquire causal power through a conscious mnd. |
| 222 | Only a great person can understand the essence of things, and an even greater person can teach it [Plato] |
| Full Idea: Only a man of very great natural gifts will be able to understand that everything has a class and absolute essence, and an even more wonderful man can teach this. | |
| From: Plato (Parmenides [c.364 BCE], 135a) |
| 225 | The unlimited has no shape and is endless [Plato] |
| Full Idea: The unlimited partakes neither of the round nor of the straight, because it has no ends nor edges. | |
| From: Plato (Parmenides [c.364 BCE], 137e) |
| 233 | Some things do not partake of the One [Plato] |
| Full Idea: The others cannot partake of the one in any way; they can neither partake of it nor of the whole. | |
| From: Plato (Parmenides [c.364 BCE], 159d) | |
| A reaction: Compare Idea 231 |
| 2062 | The only movement possible for the One is in space or in alteration [Plato] |
| Full Idea: If the One moves it either moves spatially or it is altered, since these are the only motions. | |
| From: Plato (Parmenides [c.364 BCE], 138b) |
| 231 | Everything partakes of the One in some way [Plato] |
| Full Idea: The others are not altogether deprived of the one, for they partake of it in some way. | |
| From: Plato (Parmenides [c.364 BCE], 157c) | |
| A reaction: Compare Idea 233. |
| 4210 | If the concept of a cause says it precedes its effect, that rules out backward causation by definition [Lowe] |
| Full Idea: You can't include in your concept of causation a clause stipulating that the cause occurred earlier than the effect, because that would rule out backward causation by definition. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.176) | |
| A reaction: It may, though, be the case that backward causes can't occur, and time is essential to causes. The problem is our inability to know this for sure. |
| 4215 | It seems proper to say that only substances (rather than events) have causal powers [Lowe] |
| Full Idea: It seems proper to say that events of themselves possess no causal powers; only persisting objects (individual substances) possess causal powers. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.211) | |
| A reaction: This requires events to be reduced to substances, which invites Aristotle's question of where the movement comes from. In physcis, 'energy' is the key concept. |
| 4209 | The theories of fact causation and event causation are both worth serious consideration [Lowe] |
| Full Idea: The theories of fact causation and event causation are both worth serious consideration. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.173) | |
| A reaction: This is slippery ground because both 'facts' and 'events' have uncertain ontological status, and seem partly conventional rather than natural. Events might be natural surges or transformations of energy? |
| 4211 | Causal overdetermination is either actual overdetermination, or pre-emption, or the fail-safe case [Lowe] |
| Full Idea: In causation there is 'overdetermination' (c and d occurred, and were both sufficient for e), 'pre-emption' (c and d occurred, and d would have stepped in if c hadn't), or 'fail-safe' (if c hadn't occurred, d would have occurred and done it). | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.179) | |
| A reaction: Two safety nets together, two safety nets spaced apart, or a second net which pops in if the first breaks. Nice distinctions. |
| 4213 | Causation may be instances of laws (seen either as constant conjunctions, or as necessities) [Lowe] |
| Full Idea: Causation relations between events may an instance of a causal law, with laws either interpreted as constant conjunctions (Hume), or as necessitation among universals (Armstrong). | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.190) | |
| A reaction: Hume's version is a thin idea of a law, but we can dream about the metaphysical status of laws, even if we don't know much about them. Lowe says a cause without a law is perfectly intelligible. |
| 4212 | Hume showed that causation could at most be natural necessity, never metaphysical necessity [Lowe] |
| Full Idea: One thing Hume has taught us is that the necessity which causation involves is at most 'natural' or 'physical' necessity, not metaphysical necessity. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.182) | |
| A reaction: Given Hume's epistemological scepticism, I don't think he would claim to have shown such a thing. See G.Strawson's book. Metaphysical necessity of causation is possible, but unknowable. |
| 14581 | The normative view says laws show the natural behaviour of natural kind members [Lowe, by Mumford/Anjum] |
| Full Idea: For Lowe law statements are in a sense about what 'ought' to be the case. The 'ought' is not an explicitly moral or anthropomorphic one but instead tells us what is the natural behaviour of kind members. | |
| From: report of E.J. Lowe (A Survey of Metaphysics [2002]) by S.Mumford/R.Lill Anjum - Getting Causes from Powers 8.6 | |
| A reaction: This is the 'normative' view of laws (as opposed to the intentional, dispositional, or regularity accounts). They cite Lowe 1989 Ch.8. The obvious immediate problem is things which evolved for one purpose and end up being used for another. |
| 4208 | 'If he wasn't born he wouldn't have died' doesn't mean birth causes death, so causation isn't counterfactual [Lowe] |
| Full Idea: Counterfactual analyses of event causation don't seem to work, because 'if Napoleon hadn't been born he wouldn't have died' is true, but doesn't mean his birth caused his death. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.161) | |
| A reaction: Nice counterexample, which looks pretty conclusive. Birth makes death possible; it creates the necessary conditions within which it can be caused. |
| 4224 | If motion is change of distance between objects, it involves no intrinsic change in the objects [Lowe] |
| Full Idea: If motion just is change of distance between two objects, it does not involve any kind of intrinsic change in the objects in question. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.242) | |
| A reaction: It sound respectably relativistic, but I doubt the definition. x is moving relative to y, then y attains x's velocity, so x ceases to move? Maybe. |
| 4227 | Surfaces, lines and points are not, strictly speaking, parts of space, but 'limits', which are abstract [Lowe] |
| Full Idea: Surfaces, lines and points are not, strictly speaking, parts of space at all, but just 'limits' of certain kinds, and as such 'abstract' entities. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.254) | |
| A reaction: This is fairly crucial when dealing with Zeno's paradoxes. How many points in a line? How long to get through a point? |
| 4228 | If space is entirely relational, what makes a boundary, or a place unoccupied by physical objects? [Lowe] |
| Full Idea: If space does not exist at all, but is only relations between objects, what could one possibly mean by saying that there is a place which is unoccupied by any material object? And what determines whether space is bounded? | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.264) | |
| A reaction: Correct. People who assert that space is only relational have been misled by what we can know about space, not what it is. |
| 234 | We couldn't discuss the non-existence of the One without knowledge of it [Plato] |
| Full Idea: There must be knowledge of the one, or else not even the meaning of the words 'if the one does not exist' would be known. | |
| From: Plato (Parmenides [c.364 BCE], 160d) |