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All the ideas for 'Function and Concept', 'A General Principle to Explain Laws of Nature' and 'Objects and Persons'

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43 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is sanctified, because it flows from God [Leibniz]
     Full Idea: Philosophy is sanctified by having its streams flow from the fountain of God's attributes.
     From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.69)
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Empirical investigation can't discover if holes exist, or if two things share a colour [Merricks]
     Full Idea: Ontology is not empirical, but ontologists do make discoveries; empirical investigation won't discover that holes exist; we see that two things are the same colour, but a philosopher must resolve whether one universal is present in both.
     From: Trenton Merricks (Objects and Persons [2003], Pref)
     A reaction: This is one of the best, simplest and clearest statements I have encountered of the autonomy of philosophy. One may, of course, respond by saying 'who cares?', but then who cares about quarks, or the economy of the Spanish Empire?
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
     Full Idea: Frege rejected the traditional categories as importing psychological and linguistic impurities into logic.
     From: report of Gottlob Frege (Function and Concept [1891]) by Ian Rumfitt - The Boundary Stones of Thought 1.2
     A reaction: Resisting such impurities is the main motivation for making logic entirely symbolic, but it doesn't follow that the traditional categories have to be dropped.
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
     Full Idea: Just as functions are fundamentally different from objects, so also functions whose arguments are and must be functions are fundamentally different from functions whose arguments are objects. The latter are first-level, the former second-level, functions.
     From: Gottlob Frege (Function and Concept [1891], p.38)
     A reaction: In 1884 he called it 'second-order'. This is the standard distinction between first- and second-order logic. The first quantifies over objects, the second over intensional entities such as properties and propositions.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
     Full Idea: Functions of one argument are concepts; functions of two arguments are relations.
     From: Gottlob Frege (Function and Concept [1891], p.39)
     A reaction: Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
     Full Idea: I am of the opinion that arithmetic is a further development of logic, which leads to the requirement that the symbolic language of arithmetic must be expanded into a logical symbolism.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: This may the the one key idea at the heart of modern analytic philosophy (even though logicism may be a total mistake!). Logic and arithmetical foundations become the master of ontology, instead of the servant. The jury is out on the whole enterprise.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
     Full Idea: Frege regarded the existence of horses as a property of the concept 'horse'.
     From: report of Gottlob Frege (Function and Concept [1891]) by Fred Sommers - Intellectual Autobiography 'Realism'
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Prolonged events don't seem to endure or exist at any particular time [Merricks]
     Full Idea: That events endure is difficult to reconcile with the claim that, say, the American Civil War existed; for such an event seems never to have been 'wholly present' at any single time.
     From: Trenton Merricks (Objects and Persons [2003], §3 n14)
     A reaction: A nice problem example for those who, like Kim, want their ontology to include events. Personally I am happy to allow some vagueness here. The Civil War only became an 'event' on the day it finished. An event's time need not be an instant.
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
A crumbling statue can't become vague, because vagueness is incoherent [Merricks]
     Full Idea: Some would say that annihilating grains of stone from the statue of David (playing the 'Sorites Game') could never make its identity vague, because metaphysical vagueness is simply unintelligible.
     From: Trenton Merricks (Objects and Persons [2003], §2.II)
     A reaction: He cites Russell, Dummett and Lewis in support. But Russell is a logical atomist, and Lewis says identity is composition. It strikes me as obvious that identity can be vague; the alternative is the absurdities of the Sorites paradox.
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Intrinsic properties are those an object still has even if only that object exists [Merricks]
     Full Idea: Intrinsic properties are, by and large, those properties that an object can exemplify even if that object and its parts (if any) are the only objects that exist.
     From: Trenton Merricks (Objects and Persons [2003], §4.I)
     A reaction: This leads to all sorts of properties that seemed intrinsic turning out to be relational. In what sense would a single object have mass, or impenetrability?
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
     Full Idea: Frege's theory of properties (which he calls 'concepts') yields too few properties, by identifying coextensive properties, and also too many, by letting every predicate express a property.
     From: comment on Gottlob Frege (Function and Concept [1891]) by DH Mellor / A Oliver - Introduction to 'Properties' §2
     A reaction: Seems right; one extension may have two properties (have heart/kidneys), two predicates might express the same property. 'Cutting nature at the joints' covers properties as well as objects.
9. Objects / A. Existence of Objects / 1. Physical Objects
I say that most of the objects of folk ontology do not exist [Merricks]
     Full Idea: I argue against the existence of most of the objects alleged to exist by what we might call 'folk ontology'.
     From: Trenton Merricks (Objects and Persons [2003], §1)
     A reaction: This is the programme for Merricks's heroic book, denying (quite plausibly) the need for large objects in our ontology. It seems that ontology must multiply its entities prodigiously, or else be austere in the extreme. Is there no middle way?
Is swimming pool water an object, composed of its mass or parts? [Merricks]
     Full Idea: Some - such as those who endorse unrestricted composition or those who believe in a kind of entity called 'a mass' - say that 'the water in the swimming pool' refers to a big material object.
     From: Trenton Merricks (Objects and Persons [2003], §2.I)
     A reaction: A well-chosen example to support his thesis that large objects don't (strictly) exist. We certainly must not say (in Quine fashion) that we must accept the ontology of our phrases. I cut nature at the joints, and I say a pool is an obvious joint.
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
     Full Idea: I regard a regular definition of 'object' as impossible, since it is too simple to admit of logical analysis. Briefly: an object is anything that is not a function, so that an expression for it does not contain any empty place.
     From: Gottlob Frege (Function and Concept [1891], p.32)
     A reaction: Here is the core of the programme for deriving our ontology from our logic and language, followed through by Russell and Quine. Once we extend objects beyond the physical, it becomes incredibly hard to individuate them.
9. Objects / A. Existence of Objects / 5. Simples
We can eliminate objects without a commitment to simples [Merricks]
     Full Idea: Eliminativism about physical objects does not require a commitment to (or against) simples.
     From: Trenton Merricks (Objects and Persons [2003], §1.I)
     A reaction: His strategy is to eliminate objects in favour of whatever it is (an unknown) to which objects actually reduce. His point seems to be clearly correct, just as I might eliminate 'life' from my ontology, without quite knowing what it is.
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Merricks agrees that there are no composite objects, but offers a different semantics [Merricks, by Liggins]
     Full Idea: Merricks agrees with van Inwagen that there are no composite objects, but disagrees with him about the semantics of talk about material objects.
     From: report of Trenton Merricks (Objects and Persons [2003]) by David Liggins - Nihilism without Self-Contradiction 4
     A reaction: Van Inwagen has one semantics for folk talk, and another semantics 'for the philosophy room'. Merricks seems to have an error theory of folk semantics (i.e. the folk don't understand what they are saying).
The 'folk' way of carving up the world is not intrinsically better than quite arbitrary ways [Merricks]
     Full Idea: It is hard to see why the folk way of carving up the material world should - barring further argument - be elevated to a loftier status than the unrestricted compositionist way.
     From: Trenton Merricks (Objects and Persons [2003], §3.III)
     A reaction: There are some right ways to carve up the world, though there is also the capacity to be quite arbitrary, if it is useful, or even amusing. Thus Cyprus is an island (fact), Britons are a nation (useful), and Arsenal fans are sad (amusing).
If atoms 'arranged baseballwise' break a window, that analytically entails that a baseball did it [Merricks, by Thomasson]
     Full Idea: Given the proper understanding of 'arranged baseballwise', the fact that atoms arranged baseballwise are causally relevant to a shattering analytically entails that a baseball is.
     From: report of Trenton Merricks (Objects and Persons [2003], 3) by Amie L. Thomasson - Ordinary Objects 01.3
     A reaction: This is the key argument of Thomasson's book. Presumably, following Idea 14471, 'I bought some atoms arranged baseballwise' is held to entail 'I bought a baseball'. That seems to beg the question against Van Inwagen and Merricks.
Overdetermination: the atoms do all the causing, so the baseball causes no breakage [Merricks]
     Full Idea: The Overdetermination Argument: a baseball is irrelevant to whether its atoms shatter a window, the shattering is caused by the atoms in concert, the shattering is not overdetermined, so if the baseball exists it doesn't cause the shattering.
     From: Trenton Merricks (Objects and Persons [2003], 3)
     A reaction: An obvious thought is that no individual atom does any sort of breaking at all - it is only when they act as a team, and an appropriate name for the team is a 'baseball', and the team is real.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Clay does not 'constitute' a statue, as they have different persistence conditions (flaking, squashing) [Merricks]
     Full Idea: A statue is not identical with its constituent lump of clay because they have different persistence conditions; the statue, but not the lump, could survive the loss of a few smallish bits, and the lump, but not the statue, could survive being squashed.
     From: Trenton Merricks (Objects and Persons [2003], §2.III)
     A reaction: I don't see why a lump can't survive losing a few bits (if the lump never had a precise identity), but it is hard to argue that squashing is a problem. However, presumably the identity (or constitution) between lump and statue is not a necessity.
9. Objects / C. Structure of Objects / 5. Composition of an Object
'Unrestricted composition' says any two things can make up a third thing [Merricks]
     Full Idea: If my dog and the top half of my tree compose an object, this is defended under the title of 'unrestricted (universal) composition', the thesis that any two things compose something.
     From: Trenton Merricks (Objects and Persons [2003], §1.II)
     A reaction: David Lewis is cited amongst those defending this thesis. My intuition is against this thesis, because I think identity is partly dictated by nature, and is not entirely conventional. You can force an identity, but you feel the 'restriction'.
Composition as identity is false, as identity is never between a single thing and many things [Merricks]
     Full Idea: One of the most obvious facts about identity is that it holds one-one (John and Mr Smith) and perhaps many-many (John+Mary and Mr Smith+Miss Jones), but never one-many. It follows that composition as identity (things are their parts) is false.
     From: Trenton Merricks (Objects and Persons [2003], §1.IV)
     A reaction: This assumes that 'having identity' and 'being identical to' are the same concept. I agree with his conclusion, but am not convinced by the argument. I'm not even quite clear why John and May can't be identical to the Smiths.
Composition as identity is false, as it implies that things never change their parts [Merricks]
     Full Idea: Composition as identity implies that no persisting object ever changes its parts, which is clearly false, so composition as identity is false.
     From: Trenton Merricks (Objects and Persons [2003], §1.IV)
     A reaction: Presumably Lewis can say that when a thing subtly changes its parts, it really does lose its strict identity, but becomes another 'time-slice' or close 'counterpart' of the original object. This is a coherent view, but I disagree. I'm a believer.
There is no visible difference between statues, and atoms arranged statuewise [Merricks]
     Full Idea: If we imagine a world like ours except that, while there are atoms arranged statuewise in that world, there are no statues, ...no amount of looking around could distinguish that imagined world from ours.
     From: Trenton Merricks (Objects and Persons [2003], §2.V)
     A reaction: This is one of his arguments for ontological eliminativism about physical objects. If we accept the argument, it will wreak havoc with our entire ontology, and we will end up anti-realists. I say you have to see statues - you just can't miss them.
9. Objects / C. Structure of Objects / 6. Constitution of an Object
'Composition' says things are their parts; 'constitution' says a whole substance is an object [Merricks]
     Full Idea: Composition as identity claims that a single object is identical with the many parts it comprises; constitution as identity says that a single object (a statue) is identical with a single object (clay) that 'constitutes' it.
     From: Trenton Merricks (Objects and Persons [2003], §1 n11)
     A reaction: The constitution view has been utilised (by Lynn Rudder Baker) to give an account of personal identity as constituted by a human body. Neither sounds quite right to me; the former view misses something about reality; the latter doesn't explain much.
It seems wrong that constitution entails that two objects are wholly co-located [Merricks]
     Full Idea: Many philosophers deny that two numerically distinct physical objects could be 'wholly co-located'.
     From: Trenton Merricks (Objects and Persons [2003], §2.III)
     A reaction: A fish can be located in a river; the Appenines can be located in Italy. If you accept the objection you will probably have to accept identity-as-composition, or object-eliminativism. One object can have two causal roles, supporting two identities.
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Objects decompose (it seems) into non-overlapping parts that fill its whole region [Merricks]
     Full Idea: Intuitively, an object's parts at one level of decomposition are parts of that object that do not overlap and that, collectively, fill the whole region the object fills.
     From: Trenton Merricks (Objects and Persons [2003], §1.II)
     A reaction: A nice case where 'intuition' must be cited as the basis for the claim, and yet it is hard to see how anyone could possibly disagree. Exhibit 73 in favour of rationalism. This ideas shows the structure of nature and the workings of our minds.
9. Objects / E. Objects over Time / 13. No Identity over Time
Eliminativism about objects gives the best understanding of the Sorites paradox [Merricks]
     Full Idea: I say we should endorse eliminativism about physical objects, because it offers the most plausible understanding of what occurs during the Sorites Game (eliminating grains of a thing one at a time).
     From: Trenton Merricks (Objects and Persons [2003], §2.II)
     A reaction: That is one route to go in explaining the paradox (i.e. by saying there never was a 'heap' in the first place). I suspect a better route is to say that heaps really exist as natural phenomena, but they suffer from vague identity and borderline cases.
9. Objects / F. Identity among Objects / 1. Concept of Identity
Inequality can be brought infinitely close to equality [Leibniz]
     Full Idea: Equality may be considered as an infinitely small inequality, and we may make inequality approach equality as much as we wish.
     From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.67)
     A reaction: An interesting response to David Lewis's brusque dismissal of the problem of identity, as all-or-nothing...end of story.
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
If my counterpart is happy, that is irrelevant to whether I 'could' have been happy [Merricks]
     Full Idea: The existence of someone in another world who is a lot like me, but happier, is irrelevant to whether I - this very person - could have been happier, even if we call that other-worldly someone 'my counterpart'.
     From: Trenton Merricks (Objects and Persons [2003], §1.IV)
     A reaction: He says this is a familiar objection. I retain a lingering deterministic doubt about whether it ever makes to sense to say that I 'could' have been happy, given that I am not. It does seem to make sense to say that I was close to happiness, but missed it.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
The 'warrant' for a belief is what turns a true belief into knowledge [Merricks]
     Full Idea: The 'warrant' for a belief is that, whatever it is, that makes the difference between mere true belief and knowledge.
     From: Trenton Merricks (Objects and Persons [2003], §7.II)
     A reaction: Hence a false belief could be well justified, but it could never be warranted. This makes warrant something like the externalist view of justification, a good supporting situation for a belief, rather than an inner awareness of support for it.
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
You hold a child in your arms, so it is not mental substance, or mental state, or software [Merricks]
     Full Idea: When you hold your child, you do exactly that - hold the child himself or herself - and not some stand-in. This implies that we are not two substances, and we are not mental states nor akin to software.
     From: Trenton Merricks (Objects and Persons [2003], §4)
     A reaction: And it is not just a brain, either. This is a nice simple example to support the sensible view that a person is a type of animal. Like all other physical objects that is a bit vague, so we should not be distracted by borderline cases like brain bisection.
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Maybe the word 'I' can only refer to persons [Merricks]
     Full Idea: One might say that the word 'I' can only have a person as its reference.
     From: Trenton Merricks (Objects and Persons [2003], §2.IV)
     A reaction: To infer the existence of persons from this would be to commit what I think of as the Linguistic Fallacy, of deducing ontology directly from language. We might allow (Dennett fashion) that folk categories require the fiction of persons.
16. Persons / F. Free Will / 7. Compatibilism
Free will and determinism are incompatible, since determinism destroys human choice [Merricks]
     Full Idea: The main recent support for incompatibilism is the 'no choice' argument: we have no choice that the past and the laws of nature entail human actions, we have no choice about what the past or the laws are like, so we have no choice about our actions.
     From: Trenton Merricks (Objects and Persons [2003], §6.III)
     A reaction: Since I consider free will to be an absurd chimera, I think this argument involves a total misunderstanding of what a 'choice' is. Since the human brain is a wonderfully sophisticated choosing machine, our whole life consists of choices.
17. Mind and Body / D. Property Dualism / 4. Emergentism
Human organisms can exercise downward causation [Merricks]
     Full Idea: Human organisms have non-redundant causal powers, and so can exercise downward causation.
     From: Trenton Merricks (Objects and Persons [2003], §4.VII)
     A reaction: The hallmark of property dualism. This notion needs a lot more expansion and exploration than Merricks gives it, and I don't think it will be enough to provide 'free will', or even, as Merricks hopes, to place humans in a distinct ontological category.
18. Thought / C. Content / 7. Narrow Content
Before Creation it is assumed that God still had many many mental properties [Merricks]
     Full Idea: The belief of theists that God might never have created implies that there is a possible world that contains just a single entity with many conscious mental properties.
     From: Trenton Merricks (Objects and Persons [2003], §4.II)
     A reaction: So if we believe content is wide, we must believe that God was incapable of thought before creation, and thus couldn't plan creation, and so didn't create, and so the Creator is a logical impossibility. Cool.
The hypothesis of solipsism doesn't seem to be made incoherent by the nature of mental properties [Merricks]
     Full Idea: The hypothesis of solipsism, that I - an entity with many conscious mental properties - am all that exists, while surely false, is not rendered incoherent simply by the nature of the mental properties.
     From: Trenton Merricks (Objects and Persons [2003], §4.II)
     A reaction: This, along with the thought of a pre-Creation God, is a nice intuitive case for showing that we strongly believe in some degree of narrow content.
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
     Full Idea: Concepts, for Frege, are the ontological counterparts of predicative expressions.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: That sounds awfully like what many philosophers call 'universals'. Frege, as a platonist (at least about numbers), I would take to be in sympathy with that. At least we can say that concepts seem to be properties.
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
     Full Idea: Frege had a notorious difficulty over the concept 'horse', when he suggests that if we wish to assert something about a concept, we are obliged to proceed indirectly by speaking of an object that represents it.
     From: report of Gottlob Frege (Function and Concept [1891], Ch.2.II) by Bob Hale - Abstract Objects
     A reaction: This sounds like the thin end of a wedge. The great champion of objects is forced to accept them here as a façon de parler, when elsewhere they have ontological status.
A concept is a function whose value is always a truth-value [Frege]
     Full Idea: A concept in logic is closely connected with what we call a function. Indeed, we may say at once: a concept is a function whose value is always a truth-value. ..I give the name 'function' to what is meant by the 'unsaturated' part.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: So a function becomes a concept when the variable takes a value. Problems arise when the value is vague, or the truth-value is indeterminable.
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
     Full Idea: For Frege, concepts differ from objects in being inherently incomplete in nature.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: This is because they are 'unsaturated', needing a quantified variable to complete the sentence. This could be a pointer towards Quine's view of properties, as simply an intrinsic feature of predication about objects, with no separate identity.
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
     Full Idea: From sameness of meaning there does not follow sameness of thought expressed. A fact about the Morning Star may express something different from a fact about the Evening Star, as someone may regard one as true and the other false.
     From: Gottlob Frege (Function and Concept [1891], p.14)
     A reaction: This all gets clearer if we distinguish internalist and externalist theories of content. Why take sides on this? Why not just ask 'what is in the speaker's head?', 'what does the sentence mean in the community?', and 'what is the corresponding situation?'
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]
     Full Idea: The ontological proof of God's existence suffers from the fallacy of treating existence as a first-level concept.
     From: Gottlob Frege (Function and Concept [1891], p.38 n)
     A reaction: [See Idea 8490 for first- and second-order functions] This is usually summarised as the idea that existence is a quantifier rather than a predicate.