23 ideas
| 16014 | It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan] |
| Full Idea: 'Numerical identity' implies the controversial view that it is the only identity relation in accordance with which we can properly count (or number) things: x and y are to be properly counted as one just in case they are numerically identical. | |
| From: Harold Noonan (Identity [2009], §1) | |
| A reaction: Noonan cites Geach, presumably to remind us of relative identity, where two things may be one or two, depending on what they are relative to. The one 'guard on the gate' may actually be two men. |
| 17292 | Avoid 'in virtue of' for grounding, since it might imply a reflexive relation such as identity [Audi,P] |
| Full Idea: We should not use 'in virtue of' where it might express a reflexive relation, such as identity. Since grounding is a relation of determination, and closely linked to the concept of explanation, it is irreflexive and asymmetric. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.2) | |
| A reaction: E.g. he says someone isn't a bachelor in virtue of being an unmarried man, since a bachelor just is an unmarried man. I can't disagree. 'Determination' looks like the magic word, even if we don't know how it cashes out. |
| 17295 | Ground relations depend on the properties [Audi,P] |
| Full Idea: On my view, grounding relations depend on the natures of the properties involved in them. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.2) | |
| A reaction: I'm cautious about this if we don't find out more exactly what properties are (and they had better not just be predicates). Maybe properties are the only apparatus we have here, though I prefer 'powers' for the fundamentals. |
| 17297 | A ball's being spherical non-causally determines its power to roll [Audi,P] |
| Full Idea: The fact that a given thing is spherical non-causally determines the fact that it has the power to roll. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.3) | |
| A reaction: Quine won't accept this, because you have added something called a 'power' to the ball (intrinsically, it seems), over and above its observable sphericity. Does being a ball 'determine' that it can't be in two places at once? Order of explanation? |
| 17302 | Ground is irreflexive, asymmetric, transitive, non-monotonic etc. [Audi,P] |
| Full Idea: The logical principles about grounding include irreflexivity, asymmetry, transitivity, non-monotonicity, and so forth. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.8) | |
| A reaction: [It can't ground itself, there is no mutual grounding, grounds of grounds ground, and grounding judgements are not fixed] |
| 17303 | The best critique of grounding says it is actually either identity or elimination [Audi,P] |
| Full Idea: I think the most promising skeptical strategy is to insist on either identity or elimination wherever grounding is alleged to hold. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.9) | |
| A reaction: This comes after an assessment of the critiques of grounding by Oliver, Hofweber and Daly. So we don't say chemistry grounds biology, we either say biology is chemistry, or that there is no biology. Everything is just simples. Not for me. |
| 17294 | Grounding is a singular relation between worldly facts [Audi,P] |
| Full Idea: On my view, grounding is a singular relation between facts. ...Facts, on this view, are obtaining states of affairs. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.2) | |
| A reaction: He rest this claim on his 'worldly' view of facts, Idea 17293. I seem to be agreeing with him. Note that it is not between types of fact, even if there are such general truths, such as in chemistry. |
| 17300 | If grounding relates facts, properties must be included, as well as objects [Audi,P] |
| Full Idea: Taking facts to be the relata of grounding has the interesting consequence that it does not relate ordinary particulars, objects, considered apart from their properties. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.4) | |
| A reaction: It will depend on what you mean by properties, and it seems to me that something like 'powers' must be invoked, to get the active character that seems to be involved in grounding. |
| 17296 | We must accept grounding, for our important explanations [Audi,P] |
| Full Idea: The reason we must countenance grounding is that it is indispensible to certain important explanations. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.3) | |
| A reaction: I like this a lot. The first given of all philosophy is the drive to exlain. However, we mustn't go inventing features of the world, simply to give us the possibility of explaining it. The objective fact seems to be the without-which-not relation. |
| 17301 | Reduction is just identity, so the two things are the same fact, so reduction isn't grounding [Audi,P] |
| Full Idea: I deny that when p grounds q, q thereby reduces to p, and I deny that if q reduces to p, then p grounds q. ...On my view, reduction is nothing other than identity, so p is the same fact as q. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.5) | |
| A reaction: Very good. I can't disagree with any of it, and it is crystal clear. Philosophical heaven. |
| 17293 | Worldly facts are obtaining states of affairs, with constituents; conceptual facts also depend on concepts [Audi,P] |
| Full Idea: The 'worldly' view of facts says they are obtaining states of affairs, individuated by their constituents and their combination. On the 'conceptual' view, facts will differ if they pick out an object or property via different concepts. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.2) | |
| A reaction: Might it be that conceptual differences between facts are supervenient on worldly differences (with the worldly facts in charge)? |
| 16024 | I could have died at five, but the summation of my adult stages could not [Noonan] |
| Full Idea: Persons have different modal properties from the summations of person-stages. …I might have died when I was five. But the maximal summation of person-stages which perdurantists say is me could not have had a temporal extent of a mere five years. | |
| From: Harold Noonan (Identity [2009], §5) | |
| A reaction: Thus the summation of stages seems to fail Leibniz's Law, since truths about a part are not true of the whole. But my foot might be amputated without me being amputated. The objection is the fallacy of composition? |
| 16023 | Stage theorists accept four-dimensionalism, but call each stage a whole object [Noonan] |
| Full Idea: Stage theorists, accepting the ontology of perdurance, modify the semantics to secure the result that fatness is a property of a cat. Every temporal part of a cat (such as Tabby-on-Monday) is a cat. …(but they pay a price over the counting of cats). | |
| From: Harold Noonan (Identity [2009], §5) | |
| A reaction: [Noonan cites Hawley and Sider for this view. The final parenthesis compresses Noonan] I would take the difficulty over counting cats to be fatal to the view. It produces too many cats, or too few, or denies counting altogether. |
| 16015 | Problems about identity can't even be formulated without the concept of identity [Noonan] |
| Full Idea: If identity is problematic, it is difficult to see how the problem could be resolved, since it is difficult to see how a thinker could have the conceptual resources with which to explain the concept of identity whilst lacking that concept itself. | |
| From: Harold Noonan (Identity [2009], §1) | |
| A reaction: I don't think I accept this. We can comprehend the idea of a mind that didn't think in terms of identities (at least for objects). I suppose any relation of a mind to the world has to distinguish things in some way. Does the Parmenidean One have identity? |
| 16017 | Identity is usually defined as the equivalence relation satisfying Leibniz's Law [Noonan] |
| Full Idea: Numerical identity is usually defined as the equivalence relation (or: the reflexive relation) satisfying Leibniz's Law, the indiscernibility of identicals, where everything true of x is true of y. | |
| From: Harold Noonan (Identity [2009], §2) | |
| A reaction: Noonan says this must include 'is identical to x' among the truths, and so is circular |
| 16016 | Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular [Noonan] |
| Full Idea: Identity can be circularly defined, as 'the relation everything has to itself and to nothing else', …or as 'the smallest equivalence relation'. | |
| From: Harold Noonan (Identity [2009], §2) | |
| A reaction: The first one is circular because 'nothing else' implies identity. The second is circular because it has to quantify over all equivalence relations. (So says Noonan). |
| 16020 | Identity can only be characterised in a second-order language [Noonan] |
| Full Idea: There is no condition in a first-order language for a predicate to express identity, rather than indiscernibility within the resources of the language. Leibniz's Law is statable in a second-order language, so identity can be uniquely characterised. | |
| From: Harold Noonan (Identity [2009], §2) | |
| A reaction: The point is that first-order languages only refer to all objects, but you need to refer to all properties to include Leibniz's Law. Quine's 'Identity, Ostension and Hypostasis' is the source of this idea. |
| 16018 | Indiscernibility is basic to our understanding of identity and distinctness [Noonan] |
| Full Idea: Leibniz's Law (the indiscernibility of identicals) appears to be crucial to our understanding of identity, and, more particularly, to our understanding of distinctness. | |
| From: Harold Noonan (Identity [2009], §2) | |
| A reaction: True, but indiscernibility concerns the epistemology, and identity concerns the ontology. |
| 16019 | Leibniz's Law must be kept separate from the substitutivity principle [Noonan] |
| Full Idea: Leibniz's Law must be clearly distinguished from the substitutivity principle, that if 'a' and 'b' are codesignators they are substitutable salva veritate. | |
| From: Harold Noonan (Identity [2009], §2) | |
| A reaction: He gives a bunch of well-known problem cases for substitutivity. The Morning Star, Giorgione, and the number of planets won't work. Belief contexts, or facts about spelling, may not be substitutable. |
| 17298 | Two things being identical (like water and H2O) is not an explanation [Audi,P] |
| Full Idea: If there is identity between water and H2O, we have neither the asymmetry nor the irreflexivity that explanations require. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.3) | |
| A reaction: Once you realise it is H2O, you understand its deeper features, which will open up new explanations. He's right, though. |
| 17299 | There are plenty of examples of non-causal explanation [Audi,P] |
| Full Idea: There are a number of explanations where it seems clear that causation is not involved at all: normative grounded in non-normative, disposition grounded in categorical, aesthetic grounded in non-aesthetic, semantic in social and psychological. | |
| From: Paul Audi (Clarification and Defense of Grounding [2012], 3.3) | |
| A reaction: Apart from dispositions, perhaps, these all seem to be experienced phenomena grounded in the physical world. 'Determination' is the preferred term for non-causal grounding. |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |