display all the ideas for this combination of texts
14 ideas
13804 | A property is essential iff the object would not exist if it lacked that property [Forbes,G] |
Full Idea: A property P is an essential property of an object x iff x could not exist and lack P, that is, as they say, iff x has P at every world at which x exists. | |
From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 1) | |
A reaction: This immediately places the existence of x outside the normal range of its properties, so presumably 'existence is not a predicate', but that dictum may be doubted. As it stands this definition will include trivial and vacuous properties. |
13805 | Properties are trivially essential if they are not grounded in a thing's specific nature [Forbes,G] |
Full Idea: Essential properties may be trivial or nontrivial. It is characteristic of P's being trivially essential to x that x's possession of P is not grounded in the specific nature of x. | |
From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2) | |
A reaction: This is where my objection to the modal view of essence arises. How is he going to explain 'grounded' and 'specific nature' without supplying an entirely different account of essence? |
13808 | A relation is essential to two items if it holds in every world where they exist [Forbes,G] |
Full Idea: A relation R is essential to x and y (in that order) iff Rxy holds at every world where x and y both exist. | |
From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2) | |
A reaction: I find this bizarre. Not only does this seem to me to have nothing whatever to do with essence, but also the relation might hold even though it is a purely contingent matter. All rabbits are a reasonable distance from the local star. Essence of rabbit? |
13806 | Trivially essential properties are existence, self-identity, and de dicto necessities [Forbes,G] |
Full Idea: The main groups of trivially essential properties are (a) existence, self-identity, or their consequences in S5; and (b) properties possessed in virtue of some de dicto necessary truth. | |
From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2) | |
A reaction: He adds 'extraneously essential' properties, which also strike me as being trivial, involving relations. 'Is such that 2+2=4' or 'is such that something exists' might be necessary, but they don't, I would say, have anything to do with essence. |
13807 | A property is 'extraneously essential' if it is had only because of the properties of other objects [Forbes,G] |
Full Idea: P is 'extraneously essential' to x iff it is possessed by x at any world w only in virtue of the possession at w of certain properties by other objects. | |
From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2) | |
A reaction: I would say that these are the sorts of properties which have nothing to do with being essential, even if they are deemed to be necessary. |
13809 | One might be essentialist about the original bronze from which a statue was made [Forbes,G] |
Full Idea: In the case of artefacts, there is an essentialism about original matter; for instance, it would be said of any particular bronze statue that it could not have been cast from a totally different quantity of bronze. | |
From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 3) | |
A reaction: Forbes isn't endorsing this, and it doesn't sound convincing. He quotes the thought 'I wish I had made this pot from a different piece of clay'. We might corrupt a statue by switching bronze, but I don't think the sculptor could do so. |
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. |