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Ideas for 'From an Ontological Point of View', 'The Principles of Mathematics' and 'Scientific Explanation'

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13 ideas

9. Objects / A. Existence of Objects / 1. Physical Objects
Trope theorists usually see objects as 'bundles' of tropes [Heil]
     Full Idea: Philosophers identifying themselves as trope theorists have, by and large, accepted some form of the 'bundle theory' of objects: an object is a bundle of compresent tropes.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: This view eliminates anything called 'matter' or 'substance' or a 'bare particular'. I think I agree with Heil that this doesn't give a coherent picture, as properties seem to be 'of' something, and bundles always raise the question of what unites them.
Objects are substances, which are objects considered as the bearer of properties [Heil]
     Full Idea: I think of objects as substances, and a substance is an object considered as a bearer of properties.
     From: John Heil (From an Ontological Point of View [2003], 04.2)
     A reaction: This is an area of philosophy I always find disconcerting, where an account of how we should see objects seems to have no connection at all to what physicists report about objects. 'Considered as' seems to make substances entirely conventional.
9. Objects / A. Existence of Objects / 3. Objects in Thought
I call an object of thought a 'term'. This is a wide concept implying unity and existence. [Russell]
     Full Idea: Whatever may be an object of thought, or occur in a true or false proposition, or be counted as one, I call a term. This is the widest word in the philosophical vocabulary, which I use synonymously with unit, individual, entity (being one, and existing).
     From: Bertrand Russell (The Principles of Mathematics [1903], §047)
     A reaction: The claim of existence begs many questions, such as whether the non-existence of the Loch Ness Monster is an 'object' of thought.
9. Objects / A. Existence of Objects / 5. Simples
Unities are only in propositions or concepts, and nothing that exists has unity [Russell]
     Full Idea: It is sufficient to observe that all unities are propositions or propositional concepts, and that consequently nothing that exists is a unity. If, therefore, it is maintained that things are unities, we must reply that no things exist.
     From: Bertrand Russell (The Principles of Mathematics [1903], §439)
     A reaction: The point, I presume, is that you end up as a nihilist about identities (like van Inwagen and Merricks) by mistakenly thinking (as Aristotle and Leibniz did) that everything that exists needs to have something called 'unity'.
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
The only unities are simples, or wholes composed of parts [Russell]
     Full Idea: The only kind of unity to which I can attach any precise sense - apart from the unity of the absolutely simple - is that of a whole composed of parts.
     From: Bertrand Russell (The Principles of Mathematics [1903], §439)
     A reaction: This comes from a keen student of Leibniz, who was obsessed with unity. Russell leaves unaddressed the question of what turns some parts into a whole.
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A set has some sort of unity, but not enough to be a 'whole' [Russell]
     Full Idea: In a class as many, the component terms, though they have some kind of unity, have less than is required for a whole.
     From: Bertrand Russell (The Principles of Mathematics [1903], §070)
     A reaction: This is interesting because (among many other things), sets are used to stand for numbers, but numbers are usually reqarded as wholes.
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Maybe there is only one substance, space-time or a quantum field [Heil]
     Full Idea: It would seem distinctly possible that there is but a single substance: space-time or some all-encompassing quantum field.
     From: John Heil (From an Ontological Point of View [2003], 05.2)
     A reaction: This would at least meet my concern that philosophers' 'substances' don't seem to connect to what physicists talk about. I wonder if anyone knows what a 'quantum field' is? The clash between relativity and quantum theory is being alluded to.
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
Rather than 'substance' I use 'objects', which have properties [Heil]
     Full Idea: I prefer the more colloquial 'object' to the traditional term 'substance'. An object can be regarded as a possessor of properties: as something that is red, spherical and pungent, for instance.
     From: John Heil (From an Ontological Point of View [2003], 15.3)
     A reaction: A nice move, but it seems to beg the question of 'what is it that has the properties?' Objects and substances do two different jobs in our ontology. Heil is just refusing to discuss what it is that has properties.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Statues and bronze lumps have discernible differences, so can't be identical [Heil]
     Full Idea: Applications of the principle of the indiscernibility of identicals apparently obliges us to distinguish the statue and the lump of bronze making it up.
     From: John Heil (From an Ontological Point of View [2003], 16.3)
     A reaction: In other words, statues and lumps of bronze have different properties. It is a moot point, though, whether there are any discernible differences between that statue at time t and its constituting lump of bronze at time t.
Do we reduce statues to bronze, or eliminate statues, or allow statues and bronze? [Heil]
     Full Idea: Must we choose between reductionism (the statue is the lump of bronze), eliminativism (there are no statues, only statue-shaped lumps of bronze), and a commitment to coincident objects?
     From: John Heil (From an Ontological Point of View [2003], 16.5)
     A reaction: (Heil goes on to offer his own view). Coincident objects sounds the least plausible view. Modern statues are only statues if we see them that way, but a tree is definitely a tree. Trenton Merricks is good on eliminativism.
9. Objects / D. Essence of Objects / 15. Against Essentialism
Change is obscured by substance, a thing's nature, subject-predicate form, and by essences [Russell]
     Full Idea: The notion of change is obscured by the doctrine of substance, by a thing's nature versus its external relations, and by subject-predicate form, so that things can be different and the same. Hence the useless distinction between essential and accidental.
     From: Bertrand Russell (The Principles of Mathematics [1903], §443)
     A reaction: He goes on to object to vague unconscious usage of 'essence' by modern thinkers, but allows (teasingly) that medieval thinkers may have been precise about it. It is a fact, in common life, that things can change and be the same. Explain it!
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Terms are identical if they belong to all the same classes [Russell]
     Full Idea: Two terms are identical when the second belongs to every class to which the first belongs.
     From: Bertrand Russell (The Principles of Mathematics [1903], §026)
It at least makes sense to say two objects have all their properties in common [Wittgenstein on Russell]
     Full Idea: Russell's definition of '=' is inadequate, because according to it we cannot say that two objects have all their properties in common. (Even if this proposition is never correct, it still has a sense).
     From: comment on Bertrand Russell (The Principles of Mathematics [1903]) by Ludwig Wittgenstein - Tractatus Logico-Philosophicus 5.5302
     A reaction: This is what now seems to be a standard denial of the bizarre Leibniz claim that there never could be two things with identical properties, even, it seems, in principle. What would Leibniz made of two electrons?