67 ideas
| 2319 | 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) |
| 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) |
| 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. |
| 13733 | Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn] |
| Full Idea: Frege (1893) considered a definite description to be a genuine singular term (as we do), so that a sentence like 'The present King of France is bald' would have the same logical form as 'Harry Truman is bald'. | |
| From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by M Fitting/R Mendelsohn - First-Order Modal Logic | |
| A reaction: The difficulty is what the term refers to, and they embrace a degree of Meinongianism - that is that non-existent objects can still have properties attributed to them, and so can be allowed some sort of 'existence'. |
| 9874 | Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege] |
| Full Idea: The contradiction in Frege's system is due to the presence of second-order quantification, ..and Frege's explanation of the second-order quantifier, unlike that which he provides for the first-order one, appears to be substitutional rather than objectual. | |
| From: comment on Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], §25) by Michael Dummett - Frege philosophy of mathematics Ch.17 | |
| A reaction: In Idea 9871 Dummett adds the further point that Frege lacks a clear notion of the domain of quantification. At this stage I don't fully understand this idea, but it is clearly of significance, so I will return to it. |
| 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 |
| 18252 | Real numbers are ratios of quantities, such as lengths or masses [Frege] |
| Full Idea: If 'number' is the referent of a numerical symbol, a real number is the same as a ratio of quantities. ...A length can have to another length the same ratio as a mass to another mass. | |
| From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], III.1.73), quoted by Michael Dummett - Frege philosophy of mathematics 21 'Frege's' | |
| A reaction: This is part of a critique of Cantor and the Cauchy series approach. Interesting that Frege, who is in the platonist camp, is keen to connect the real numbers with natural phenomena. He is always keen to keep touch with the application of mathematics. |
| 18271 | We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege] |
| Full Idea: It cannot be demanded that everything be proved, because that is impossible; but we can require that all propositions used without proof be expressly declared as such, so that we can see distinctly what the whole structure rests upon. | |
| From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], p.2), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 7 'What' |
| 10623 | Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright] |
| Full Idea: Frege opts for his famous definition of numbers in terms of extensions of the concept 'equal to the concept F', but he then (in 'Grundgesetze') needs a theory of extensions or classes, which he provided by means of Basic Law V. | |
| From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' §1 |
| 9975 | Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege] |
| Full Idea: Cantor pointed out explicitly to Frege that it is a mistake to take the notion of a set (i.e. of that which has a cardinal number) to simply mean the extension of a concept. ...Frege's later assumption of this was an act of recklessness. | |
| From: comment on Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by William W. Tait - Frege versus Cantor and Dedekind III | |
| A reaction: ['recklessness' is on p.61] Tait has no sympathy with the image of Frege as an intellectual martyr. Frege had insufficient respect for a great genius. Cantor, crucially, understood infinity much better than Frege. |
| 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. |
| 18165 | My Basic Law V is a law of pure logic [Frege] |
| Full Idea: I hold that my Basic Law V is a law of pure logic. | |
| From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], p.4), quoted by Penelope Maddy - Naturalism in Mathematics I.1 | |
| A reaction: This is, of course, the notorious law which fell foul of Russell's Paradox. It is said to be pure logic, even though it refers to things that are F and things that are G. |
| 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. |
| 2317 | 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. |
| 2310 | 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. |
| 2315 | 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. |
| 2329 | 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) |
| 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) |
| 2320 | 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. |
| 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) |
| 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) |
| 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) |
| 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) |
| 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. |
| 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. |
| 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. |
| 530 | 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? |
| 13314 | 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. |
| 2065 | 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. |
| 1550 | 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 |
| 2318 | 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. |
| 2325 | 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. |
| 2324 | 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. |
| 2314 | 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. |
| 2313 | 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. |
| 2328 | 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? |
| 2309 | 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. |
| 2311 | 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? |
| 2308 | 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. |
| 2322 | 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? |
| 2327 | 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. |
| 2323 | 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. |
| 9190 | A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett] |
| Full Idea: In later Frege, a concept could be taken as a particular case of a function, mapping every object on to one of the truth-values (T or F), according as to whether, as we should ordinarily say, that object fell under the concept or not. | |
| From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Michael Dummett - The Philosophy of Mathematics 3.5 | |
| A reaction: As so often in these attempts at explanation, this sounds circular. You can't decide whether an object truly falls under a concept, if you haven't already got the concept. His troubles all arise (I say) because he scorns abstractionist accounts. |
| 13665 | Frege took the study of concepts to be part of logic [Frege, by Shapiro] |
| Full Idea: Frege took the study of concepts and their extensions to be within logic. | |
| From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Stewart Shapiro - Foundations without Foundationalism 7.1 | |
| A reaction: This is part of the plan to make logic a universal language (see Idea 13664). I disagree with this, and with the general logicist view of the position of logic. The logical approach thins concepts out. See Deleuze/Guattari's horror at this. |
| 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. |
| 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) |