Combining Philosophers

All the ideas for Horsten,L/Pettigrew,R, Zoroaster and Alex Oliver

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41 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
A metaphysics has an ontology (objects) and an ideology (expressed ideas about them) [Oliver]
     Full Idea: A metaphysical theory hs two parts: ontology and ideology. The ontology consists of the entities which the theory says exist; the ideology consists of the ideas which are expressed within the theory using predicates. Ideology sorts into categories.
     From: Alex Oliver (The Metaphysics of Properties [1996], §02.1)
     A reaction: Say 'what there is', and 'what we can say about it'. The modern notion remains controversial (see Ladyman and Ross, for example), so it is as well to start crystalising what metaphysics is. I am enthusiastic, but nervous about what is being said.
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Ockham's Razor has more content if it says believe only in what is causal [Oliver]
     Full Idea: One might give Ockham's Razor a bit more content by advising belief in only those entities which are causally efficacious.
     From: Alex Oliver (The Metaphysics of Properties [1996], §03)
     A reaction: He cites Armstrong as taking this line, but I immediately think of Shoemaker's account of properties. It seems to me to be the only account which will separate properties from predicates, and bring them under common sense control.
3. Truth / B. Truthmakers / 7. Making Modal Truths
Necessary truths seem to all have the same truth-maker [Oliver]
     Full Idea: The definition of truth-makers entails that a truth-maker for a given necessary truth is equally a truth-maker for every other necessary truth.
     From: Alex Oliver (The Metaphysics of Properties [1996], §24)
     A reaction: Maybe we could accept this. Necessary truths concern the way things have to be, so all realities will embody them. Are we to say that nothing makes a necessary truth true?
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Slingshot Argument: seems to prove that all sentences have the same truth-maker [Oliver]
     Full Idea: Slingshot Argument: if truth-makers work for equivalent sentences and co-referring substitute sentences, then if 'the numbers + S1 = the numbers' has a truth-maker, then 'the numbers + S2 = the numbers' will have the same truth-maker.
     From: Alex Oliver (The Metaphysics of Properties [1996], §24)
     A reaction: [compressed] Hence every sentence has the same truth-maker! Truth-maker fans must challenge one of the premises.
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
     Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1)
     A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
     Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
     Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea.
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
     Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / c. Commitment of predicates
Accepting properties by ontological commitment tells you very little about them [Oliver]
     Full Idea: The route to the existence of properties via ontological commitment provides little information about what properties are like.
     From: Alex Oliver (The Metaphysics of Properties [1996], §22)
     A reaction: NIce point, and rather important, I would say. I could hardly be committed to something for the sole reason that I had expressed a statement which contained an ontological commitment. Start from the reason for making the statement.
Reference is not the only way for a predicate to have ontological commitment [Oliver]
     Full Idea: For a predicate to have a referential function is one way, but not the only way, to harbour ontological commitment.
     From: Alex Oliver (The Metaphysics of Properties [1996], §22)
     A reaction: Presumably the main idea is that the predicate makes some important contribution to a sentence which is held to be true. Maybe reference is achieved by the whole sentence, rather than by one bit of it.
8. Modes of Existence / B. Properties / 1. Nature of Properties
There are four conditions defining the relations between particulars and properties [Oliver]
     Full Idea: Four adequacy conditions for particulars and properties: asymmetry of instantiation; different particulars can have the same property; particulars can have many properties; two properties can be instantiated by the same particulars.
     From: Alex Oliver (The Metaphysics of Properties [1996], §09)
     A reaction: The distinction between particulars and universals has been challenged (e.g. by Ramsey and MacBride). There are difficulties in the notion of 'instantiation', and in the notion of two properties being 'the same'.
If properties are sui generis, are they abstract or concrete? [Oliver]
     Full Idea: If properties are sui generis entities, one must decide whether they are abstract or concrete.
     From: Alex Oliver (The Metaphysics of Properties [1996], §09)
     A reaction: A nice basic question! I take the real properties to be concrete, but we abstract from them, especially from their similarities, and then become deeply confused about the ontology, because our language doesn't mark the distinctions clearly.
8. Modes of Existence / B. Properties / 2. Need for Properties
There are just as many properties as the laws require [Oliver]
     Full Idea: One conception of properties says there are only as many properties as are needed to be constituents of laws.
     From: Alex Oliver (The Metaphysics of Properties [1996], §03)
     A reaction: I take this view to the be precise opposite of the real situation. The properties are what lead to the laws. Properties are internal to nature, and laws are imposed from outside, which is ridiculous unless you think there is an active deity.
8. Modes of Existence / B. Properties / 3. Types of Properties
We have four options, depending whether particulars and properties are sui generis or constructions [Oliver]
     Full Idea: Both properties and particulars can be taken as either sui generis or as constructions, so we have four options: both sui generis, or both constructions, or one of each.
     From: Alex Oliver (The Metaphysics of Properties [1996], §09)
     A reaction: I think I favour both being sui generis. God didn't make the objects, then add their properties, or make the properties then create some instantiations. There can't be objects without properties, or objectless properties (except in thought).
8. Modes of Existence / B. Properties / 10. Properties as Predicates
The expressions with properties as their meanings are predicates and abstract singular terms [Oliver]
     Full Idea: The types of expressions which have properties as their meanings may vary, the chief candidates being predicates, such as '...is wise', and abstract singular terms, such as 'wisdom'.
     From: Alex Oliver (The Metaphysics of Properties [1996], §02)
     A reaction: This seems to be important, because there is too much emphasis on predicates. If this idea is correct, we need some account of what 'abstract' means, which is notoriously tricky.
There are five main semantic theories for properties [Oliver]
     Full Idea: Properties in semantic theory: functions from worlds to extensions ('Californian'), reference, as opposed to sense, of predicates (Frege), reference to universals (Russell), reference to situations (Barwise/Perry), and composition from context (Lewis).
     From: Alex Oliver (The Metaphysics of Properties [1996], §02 n12)
     A reaction: [compressed; 'Californian' refers to Carnap and Montague; the Lewis view is p,67 of Oliver]. Frege misses out singular terms, or tries to paraphrase them away. Barwise and Perry sound promising to me. Situations involve powers.
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are not properties, since they can't be instantiated twice [Oliver]
     Full Idea: I rule that tropes are not properties, because it is not true that one and the same trope of redness is instantiated by two books.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: This seems right, but has very far-reaching implications, because it means there are no properties, and no two things have the same properties, so there can be no generalisations about properties, let alone laws. ..But they have equivalence sets.
The property of redness is the maximal set of the tropes of exactly similar redness [Oliver]
     Full Idea: Using the predicate '...is exactly similar to...' we can sort tropes into equivalence sets, these sets serving as properties and relations. For example, the property of redness is the maximal set of the tropes of redness.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: You have somehow to get from scarlet and vermilion, which have exact similarity within their sets, to redness, which doesn't.
The orthodox view does not allow for uninstantiated tropes [Oliver]
     Full Idea: It is usual to hold an aristotelian conception of tropes, according to which tropes are present in their particular instances, and which does not allow for uninstantiated tropes.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: What are you discussing when you ask what colour the wall should be painted? Presumably we can imagine non-existent tropes. If I vividly imagine my wall looking yellow, have I brought anything into existence?
Maybe concrete particulars are mereological wholes of abstract particulars [Oliver]
     Full Idea: Some trope theorists give accounts of particulars. Sets of tropes will not do because they are always abstract, but we might say that particulars are (concrete) mereological wholes of the tropes which they instantiate.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: Looks like a non-starter to me. How can abstract entities add up to a mereological whole which is concrete?
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Tropes can overlap, and shouldn't be splittable into parts [Oliver]
     Full Idea: More than one trope can occupy the same place at the same time, and a trope occupies a place without having parts which occupy parts of the place.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: This is the general question of the size of a spatial trope, or 'how many red tropes in a tin of red paint?'
8. Modes of Existence / D. Universals / 1. Universals
'Structural universals' methane and butane are made of the same universals, carbon and hydrogen [Oliver]
     Full Idea: The 'structural universals' methane and butane are each made up of the same universals, carbon and hydrogen.
     From: Alex Oliver (The Metaphysics of Properties [1996], §07)
     A reaction: He cites Lewis 1986, who is criticising Armstrong. If you insist on having universals, they might (in this case) best be described as 'patterns', which would be useful for structuralism in mathematics. They reduce to relations.
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Located universals are wholly present in many places, and two can be in the same place [Oliver]
     Full Idea: So-called aristotelian universals have some queer features: one universal can be wholly present at different places at the same time, and two universals can occupy the same place at the same time.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: If you want to make a metaphysical doctrine look ridiculous, stating it in very simple language will often do the job. Belief in fairies is more plausible than the first of these two claims.
Aristotle's instantiated universals cannot account for properties of abstract objects [Oliver]
     Full Idea: Properties and relations of abstract objects may need to be acknowledged, but they would have no spatio-temporal location, so they cannot instantiate Aristotelian universals, there being nowhere for such universals to be.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11), quoted by Cynthia Macdonald - Varieties of Things
     A reaction: Maybe. Why can't the second-order properties be in the same location as the first-order ones? If the reply is that they would seem to be in many places at once, that is only restating the original problem of universals at a higher level.
If universals ground similarities, what about uniquely instantiated universals? [Oliver]
     Full Idea: If universals are to ground similarities, it is hard to see why one should admit universals which only happen to be instantiated once.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: He is criticising Armstrong, who holds that universals must be instantiated. This is a good point about any metaphysics which makes resemblance basic.
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated universals seem to exist if they themselves have properties [Oliver]
     Full Idea: We may have to accept uninstantiated universals because the properties and relations of abstract objects may need to be acknowledged.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: This is the problem of 'abstract reference'. 'Courage matters more than kindness'; 'Pink is more like red than like yellow'. Not an impressive argument. All you need is second-level abstraction.
Uninstantiated properties are useful in philosophy [Oliver]
     Full Idea: Uninstantiated properties and relations may do some useful philosophical work.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11), quoted by Cynthia Macdonald - Varieties of Things
     A reaction: Their value isn't just philosophical; hopes and speculations depend on them. This doesn't make universals mind-independent. I think the secret is a clear understanding of the word 'abstract' (which I don't have).
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Instantiation is set-membership [Oliver]
     Full Idea: One view of instantiation is that it is the set-membership predicate.
     From: Alex Oliver (The Metaphysics of Properties [1996], §10)
     A reaction: This cuts the Gordian knot rather nicely, but I don't like it, if the view of sets is extensional. We need to account for natural properties, and we need to exclude mere 'categorial' properties.
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism can reject abstractions, or universals, or sets [Oliver]
     Full Idea: We can say that 'Harvard-nominalism' is the thesis that there are no abstract objects, 'Oz-nominalism' that there are no universals, and Goodman's nominalism rejects entities, such as sets, which fail to obey a certain principle of composition.
     From: Alex Oliver (The Metaphysics of Properties [1996], §15 n46)
     A reaction: Personally I'm a Goodman-Harvard-Oz nominalist. What are you rebelling against? What have you got? We've been mesmerized by the workings of our own minds, which are trying to grapple with a purely physical world.
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Things can't be fusions of universals, because two things could then be one thing [Oliver]
     Full Idea: If a particular thing is a bundle of located universals, we might say it is a mereological fusion of them, but if two universals can be instantiated by more than one particular, then two particulars can have the same universals, and be the same thing.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: This and Idea 10725 pretty thoroughly demolish the idea that objects could be just bundles of universals. The problem pushes some philosophers back to the idea of 'substance', or some sort of 'substratum' which has the universals.
Abstract sets of universals can't be bundled to make concrete things [Oliver]
     Full Idea: If a particular thing is a bundle of located universals, we might say that it is the set of its universals, but this won't work because the thing can be concrete but sets are abstract.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: This objection applies just as much to tropes (abstract particulars) as it does to universals.
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Science is modally committed, to disposition, causation and law [Oliver]
     Full Idea: Natural science is up to its ears in modal notions because of its use of the concepts of disposition, causation and law.
     From: Alex Oliver (The Metaphysics of Properties [1996], §15)
     A reaction: This is aimed at Quine. It might be possible for an auster physicist to dispense with these concepts, by merely describing patterns of observed behaviour.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
     Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory.
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
     Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
     Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
     Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds.
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
     Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5)
     A reaction: They accept lots of successes in modelling necessity and time.
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Conceptual priority is barely intelligible [Oliver]
     Full Idea: I find the notion of conceptual priority barely intelligible.
     From: Alex Oliver (The Metaphysics of Properties [1996], §19 n48)
     A reaction: I don't think I agree, though there is a lot of vagueness and intuition involved, and not a lot of hard argument. Can you derive A from B, but not B from A? Is A inconceivable without B, but B conceivable without A?
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Zoroaster and the Hebrew prophets evolved different versions of monotheism [Zoroaster, by Armstrong,K]
     Full Idea: Zoroaster and the Hebrew prophets evolved different versions of monotheism.
     From: report of Zoroaster (The Gathas (seventeen hymns) [c.900 BCE]) by Karen Armstrong - A History of God Ch.1
     A reaction: This seems to be the consensus on the origins of monotheism, which places the development much earlier than the appearance of the idea in Greek philosophy.
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
Zarathustra was the first to present a god who is an abstract concept [Zoroaster]
     Full Idea: Zarathustra's achievement was for the first time to present a god who is an abstract concept - he broke with the tradition of a pantheon of gods.
     From: Zoroaster (The Gathas (seventeen hymns) [c.900 BCE]), quoted by Peter Watson - Ideas Ch.05
     A reaction: The more abstract the gods become, the harder it is to challenge their existence.
Zoroastrianism saw the world as a battle between good evil gods [Zoroaster, by Harari]
     Full Idea: Zoroastrianism saw the world as a cosmic battle between the good god Ahura Mazda and the evil god Angra Mainyu.
     From: report of Zoroaster (The Gathas (seventeen hymns) [c.900 BCE]) by Yuval Noah Harari - Sapiens: brief history of humankind 12 'Battle'
     A reaction: Hm. This contradicts the impression I had gained that it was monotheist.