40 ideas
| 14415 | A ground must be about its truth, and not just necessitate it [Merricks] |
| Full Idea: A ground does not merely necessitate its truth. A ground is also what its truth is appropriately about. | |
| From: Trenton Merricks (Truth and Ontology [2007], 7.II) |
| 14408 | Truthmaker needs truths to be 'about' something, and that is often unclear [Merricks] |
| Full Idea: It is not always obvious what (if anything) a truth is about, in the sense of 'about' relevant to Truthmaker and truth-supervenient-on-being. Prior says 'Queen Anne is dead' is not about Queen Anne, and may be about the Earth. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.III) | |
| A reaction: A very nice and rather subtle objection to the Truthmaker thesis. Specifying the truthmaker for a given truth looks like a doddle in simple cases, but clearly it can become extremely elusive in other cases. |
| 14395 | If a ball changes from red to white, Truthmaker says some thing must make the change true [Merricks] |
| Full Idea: If a single ball goes from being red to being white, Truthmaker implies that something exists which makes it true that the second thing follows the first. | |
| From: Trenton Merricks (Truth and Ontology [2007], 3.V) |
| 14398 | Truthmaker says if an entity is removed, some nonexistence truthmaker must replace it [Merricks] |
| Full Idea: Truthmaker makes it impossible simply to remove an entity. One must always replace it with something else; namely, a truthmaker for the claim that that entity does not exist. | |
| From: Trenton Merricks (Truth and Ontology [2007], 4.I-3) | |
| A reaction: This is a particularly strong and persuasive argument from Merricks against the truthmaker view. Clearly the truthmaker for non-existence can't be there when it exists, and the destruction bringing the negative truthmaker into existence sounds odd. |
| 14403 | If Truthmaker says each truth is made by the existence of something, the theory had de re modality at is core [Merricks] |
| Full Idea: Truthmaker says that, for each truth, there is something that, by its mere existence, makes that truth true, …so Truthmaker has de re modality at its core. | |
| From: Trenton Merricks (Truth and Ontology [2007], 5.III) | |
| A reaction: I have no problem with de re modality, so this doesn't bother me. Merricks brings out nicely the baggage which you must carry if you are a Truthmaker. |
| 14397 | Truthmaker demands not just a predication, but an existing state of affairs with essential ingredients [Merricks] |
| Full Idea: The claim 'that Fido is brown' seems to demand only a brown Fido, but Truthmaker demands more. It demands both that a state of affairs along the lines of 'Fido's being brown' exists, and also that this state has its constituents essentially. | |
| From: Trenton Merricks (Truth and Ontology [2007], 4.I) | |
| A reaction: One would need to reread Merricks to get this clear, but my instinct is that the two scenarios are not very different. 'A brown Fido' would require Fido to be necessarily brown to do the job. |
| 14396 | If 'truth supervenes on being', worlds with the same entities, properties and relations have the same truths [Merricks] |
| Full Idea: 'Truth supervenes on being' says that any two possible worlds alike with respect to what entities exist and which properties (and relations) each of those entities exemplifies are thereby alike with respect to what is true. | |
| From: Trenton Merricks (Truth and Ontology [2007], 4) | |
| A reaction: Merricks says this view is found in early Wittgenstein, as well as in David Lewis. He suggests that this is a weaker and more plausible thesis than the full commitment to truthmakers. It still allows some truths to lack truthmakers. Sounds plausible. |
| 14400 | If truth supervenes on being, that won't explain why truth depends on being [Merricks] |
| Full Idea: If 'truth supervenes on being' aims to articulate the idea that truth depends on being, it must say more than that truth supervenes on being. | |
| From: Trenton Merricks (Truth and Ontology [2007], 4.VI) | |
| A reaction: This is a perennial problem with supervenience accounts, such as the supervenience of beauty on the object, or of mind on brain. |
| 14394 | It is implausible that claims about non-existence are about existing things [Merricks] |
| Full Idea: It is implausible that a claim asserting that a thing fails to exist is made true by - and so is appropriately about - some other, existing thing. | |
| From: Trenton Merricks (Truth and Ontology [2007], 3.V) |
| 14390 | Truthmaker isn't the correspondence theory, because it offers no analysis of truth [Merricks] |
| Full Idea: Because Truthmaker offers no analysis of being true, Truthmaker is not the correspondence theory of truth. | |
| From: Trenton Merricks (Truth and Ontology [2007], 1.IV) | |
| A reaction: I'm not convinced that the correspondence theory offers an 'analysis' of truth. It doesn't seem to do much more than offer a word which suggests an analogy with some relation in the world. |
| 14412 | Speculations about non-existent things are not about existent things, so Truthmaker is false [Merricks] |
| Full Idea: That 'there might have been a dozen more fundamental particles' is true, but not appropriately about any existing entities or their properties. Since Truthmaker says that all truths are about existing entities, it must be false. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.VI) | |
| A reaction: Since I don't necessarily agree that 'there might have been a dozen more fundamental particles' (see Scientific Essentialism), and I take the disagreement to have some basis, I doubt this idea. What stops 'there could be circular squares' from being true? |
| 14414 | I am a truthmaker for 'that a human exists', but is it about me? [Merricks] |
| Full Idea: I am a truthmaker for 'that a human exists', but it is not obvious that that proposition is thus about me. | |
| From: Trenton Merricks (Truth and Ontology [2007], 7.I) | |
| A reaction: This is part of the general rather good objection that it is often unclear what a truth is 'about' (Idea 14408). The original Gettier examples about justification illustrate this problem. They make things true, in a surprising way. |
| 14418 | Being true is not a relation, it is a primitive monadic property [Merricks] |
| Full Idea: Being true is not a relation. …Being true is a monadic property. …Being true is a primitive property. | |
| From: Trenton Merricks (Truth and Ontology [2007], 8.IV) | |
| A reaction: Even after reading Merricks on this, I am not sure I understand it. If a single sentence floats in the void, it is hard to see how the 'monadic' property of truth could accrue to it. |
| 14391 | If the correspondence theory is right, then necessary truths must correspond to something [Merricks] |
| Full Idea: Suppose for the sake of argument that the correspondence theory is correct. Then it is analytic that each necessary truth, in virtue of being true, corresponds to something. | |
| From: Trenton Merricks (Truth and Ontology [2007], 2.II) | |
| A reaction: The sort of nice simple observation for which I admire Merricks. You don't have to give up on the correspondence theory at this point, but you will have to go through with some substantial metaphysics to keep it afloat. |
| 14419 | Deflationism just says there is no property of being truth [Merricks] |
| Full Idea: I take 'deflationism' to be nothing other than the claim that there is no property of being true. | |
| From: Trenton Merricks (Truth and Ontology [2007], 8.V) |
| 13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
| Full Idea: In current set theory, the search is on for new axioms to determine the size of the continuum. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §0) | |
| A reaction: This sounds the wrong way round. Presumably we seek axioms that fix everything else about set theory, and then check to see what continuum results. Otherwise we could just pick our continuum, by picking our axioms. |
| 13013 | The Axiom of Extensionality seems to be analytic [Maddy] |
| Full Idea: Most writers agree that if any sense can be made of the distinction between analytic and synthetic, then the Axiom of Extensionality should be counted as analytic. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.1) | |
| A reaction: [Boolos is the source of the idea] In other words Extensionality is not worth discussing, because it simply tells you what the world 'set' means, and there is no room for discussion about that. The set/class called 'humans' varies in size. |
| 13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
| Full Idea: The extensional view of sets is preferable because it is simpler, clearer, and more convenient, because it individuates uniquely, and because it can simulate intensional notions when the need arises. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.1) | |
| A reaction: [She cites Fraenkel, Bar-Hillet and Levy for this] The difficulty seems to be whether the extensional notion captures our ordinary intuitive notion of what constitutes a group of things, since that needs flexible size and some sort of unity. |
| 13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
| Full Idea: The Axiom of Infinity is a simple statement of Cantor's great breakthrough. His bold hypothesis that a collection of elements that had lurked in the background of mathematics could be infinite launched modern mathematics. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.5) | |
| A reaction: It also embodies one of those many points where mathematics seems to depart from common sense - but then most subjects depart from common sense when they get more sophisticated. Look what happened to art. |
| 13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
| Full Idea: If one is interested in analysis then infinite sets are indispensable since even the notion of a real number cannot be developed by means of finite sets alone. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.5) | |
| A reaction: [Maddy is citing Fraenkel, Bar-Hillel and Levy] So Cantor's great breakthrough (Idea 13021) actually follows from the earlier acceptance of the real numbers, so that's where the departure from common sense started. |
| 13023 | The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy] |
| Full Idea: The Power Set Axiom is indispensable for a set-theoretic account of the continuum, ...and in so far as those attempts are successful, then the power-set principle gains some confirmatory support. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.6) | |
| A reaction: The continuum is, of course, notoriously problematic. Have we created an extra problem in our attempts at solving the first one? |
| 13024 | Efforts to prove the Axiom of Choice have failed [Maddy] |
| Full Idea: Jordain made consistent and ill-starred efforts to prove the Axiom of Choice. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.7) | |
| A reaction: This would appear to be the fate of most axioms. You would presumably have to use a different system from the one you are engaged with to achieve your proof. |
| 13025 | Modern views say the Choice set exists, even if it can't be constructed [Maddy] |
| Full Idea: Resistance to the Axiom of Choice centred on opposition between existence and construction. Modern set theory thrives on a realistic approach which says the choice set exists, regardless of whether it can be defined, constructed, or given by a rule. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.7) | |
| A reaction: This seems to be a key case for the ontology that lies at the heart of theory. Choice seems to be an invaluable tool for proofs, so it won't go away, so admit it to the ontology. Hm. So the tools of thought have existence? |
| 13026 | A large array of theorems depend on the Axiom of Choice [Maddy] |
| Full Idea: Many theorems depend on the Axiom of Choice, including that a countable union of sets is countable, and results in analysis, topology, abstract algebra and mathematical logic. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.7) | |
| A reaction: The modern attitude seems to be to admit anything if it leads to interesting results. It makes you wonder about the modern approach of using mathematics and logic as the cutting edges of ontological thinking. |
| 13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
| Full Idea: The Iterative Conception (Zermelo 1930) says everything appears at some stage. Given two objects a and b, let A and B be the stages at which they first appear. Suppose B is after A. Then the pair set of a and b appears at the immediate stage after B. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.3) | |
| A reaction: Presumably this all happens in 'logical time' (a nice phrase I have just invented!). I suppose we might say that the existence of the paired set is 'forced' by the preceding sets. No transcendental inferences in this story? |
| 13018 | Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy] |
| Full Idea: The 'limitation of size' is a vague intuition, based on the idea that being too large may generate the paradoxes. | |
| From: Penelope Maddy (Believing the Axioms I [1988], §1.3) | |
| A reaction: This is an intriguing idea to be found right at the centre of what is supposed to be an incredibly rigorous system. |
| 14393 | The totality state is the most plausible truthmaker for negative existential truths [Merricks] |
| Full Idea: The claim that the totality state is the sole truthmaker for negative existential truths emerges as the best position for a truthmaker theorist. | |
| From: Trenton Merricks (Truth and Ontology [2007], 3.III) |
| 14413 | Some properties seem to be primitive, but others can be analysed [Merricks] |
| Full Idea: Some properties (perhaps negative charge, or the relation of identity) admit of no analysis, and so are primitive. But others are analysable, and so not primitive | |
| From: Trenton Merricks (Truth and Ontology [2007], 7.I) |
| 14416 | An object can have a disposition when the revelant conditional is false [Merricks] |
| Full Idea: It is possible for an object to have a disposition even though the relevant conditional is false. | |
| From: Trenton Merricks (Truth and Ontology [2007], 7.III) | |
| A reaction: This is the now standard observation that finks (killing the disposition) and antidotes (blocking the effect of the disposition) can intervene, as in safety mechanisms in electrical gadgets. There may be replies available here. |
| 14392 | Fregeans say 'hobbits do not exist' is just 'being a hobbit' is not exemplified [Merricks] |
| Full Idea: A Fregean about existence claims would say that 'that hobbits do not exist' is nothing other than the claim that 'being a hobbit' is not exemplified. | |
| From: Trenton Merricks (Truth and Ontology [2007], 3.II) | |
| A reaction: 'My passport has ceased to exist' seems to be a bit more dramatic than a relationship with a concept. |
| 14410 | You believe you existed last year, but your segment doesn't, so they have different beliefs [Merricks] |
| Full Idea: Your belief that you existed in the year 2000 is true; the belief of a segment of you that it then existed is false; so, by the indiscernibility of identicals, there must be two beliefs here. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.IV n20) | |
| A reaction: Merricks may be begging the question here. But in the segment view there is nothing which can truly believe it existed a year ago, so therefore nothing here has continued existence, so the segments cannot be part of a single thing. |
| 14417 | Counterfactuals aren't about actuality, so they lack truthmakers or a supervenience base [Merricks] |
| Full Idea: A counterfactual is not appropriately about the way anything is, …but about how something would be, had other things differed from how they actually are. As a result, true counterfactuals have neither truthmakers nor a superveniece base. | |
| From: Trenton Merricks (Truth and Ontology [2007], 7.IV) | |
| A reaction: Might not the truthmakers for counterfactuals reside in the dispositional facts about actuality? We assess the truth of counterfactuals in degrees, so something must determine our views. |
| 14402 | If 'Fido is possibly black' depends on Fido's counterparts, then it has no actual truthmaker [Merricks] |
| Full Idea: If Fido's being possibly black reduces (in Lewis's account) to the existence of black counterparts of Fido, then 'Fido is possibly black' is actually true, but it has no actually existing truthmaker. | |
| From: Trenton Merricks (Truth and Ontology [2007], 5.I) | |
| A reaction: This problem is increasingly the target of my views about dispositions and powers. Fido is not possibly a prize-winning novelist, but is possibly dead or in good health, because of the actual nature and dispositions of Fido. |
| 21093 | Friendship without community spirit misses out on the main part of virtue [Hume] |
| Full Idea: A man who is only susceptible of friendship, without public spirit or a regard to the community, is deficient in the most material part of virtue. | |
| From: David Hume (That Politics may be reduced to a Science [1750], p.21) | |
| A reaction: I think this is aimed at the epicureans. If the highest virtues are focused on one's friends that can easily lead to injustice, because it can tolerate prejudice against people who are very unlike one's friends. |
| 21091 | It would be absurd if even a free constitution did not impose restraints, for the public good [Hume] |
| Full Idea: A republican and free form of government would be an obvious absurdity, if the particular checks and controls, provided by the constitution, had really no influence, and made it not the interest, even of bad men, to act for the public good. | |
| From: David Hume (That Politics may be reduced to a Science [1750], p.14) | |
| A reaction: Presumably if you attain absolute power you can write any old constitution you like (Clause 1: the presidency is for life). But there does seem much point in doing it - unless it is to facilitate the use of the law for persecutions. |
| 21092 | Nobility either share in the power of the whole, or they compose the power of the whole [Hume] |
| Full Idea: A nobility may possess power in two different ways. Either every nobleman shares the power as part of the whole body, or the whole body enjoys the power as composed of parts, which each have a distinct power and authority. | |
| From: David Hume (That Politics may be reduced to a Science [1750], p.15) | |
| A reaction: He says the first type is found in Venice, and is preferable to the second type, which is found in Poland. Presumably in the shared version there is some restraint on depraved nobles. The danger is each noble being an autocrat. |
| 14406 | Presentists say that things have existed and will exist, not that they are instantaneous [Merricks] |
| Full Idea: Presentists deny that everything is instantaneous; they think that many objects not only exist, but also have existed and will exist. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.I) | |
| A reaction: The second half is because presentists are committed to the truth of tensed existence claims (despite a lack of any theory as to how they work). Does anyone hold a theory of Instantaneousism? |
| 14407 | Presentist should deny there is a present time, and just say that things 'exist' [Merricks] |
| Full Idea: I think presentists should deny that there is anything at all that is the present time, just as they should deny that there are past times or future times. They should say that existing at the present time is just 'existing'. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.I) | |
| A reaction: The whole context is needed to understand Merrick's interesting claim. If there is no present, when can events happen? |
| 14411 | Maybe only presentism allows change, by now having a property, and then lacking it [Merricks] |
| Full Idea: Maybe presentism alone allows for genuine change, by permitting the direct having of a property by something and then, later, the absolute lacking of that property by that same thing. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.IV n23) | |
| A reaction: Four-dimensionalism (perdurantism) is the view which is most often charged with not explaining change, and that tends to be associated with eternalism. Are there just two coherent packages of views here? |
| 14405 | How can a presentist explain an object's having existed? [Merricks] |
| Full Idea: I am not sure what account presentists should give of an object's having existed. | |
| From: Trenton Merricks (Truth and Ontology [2007], 6.I) | |
| A reaction: Personally I am pretty puzzled by the eternalist and growing-block accounts of an object having existed, so we are all up a gum tree here. The best bet is to pull truth and existence apart, but heaven knows what that implies. See Idea 14399. |