Combining Philosophers

All the ideas for Paul Bernays, H.H. Price and Fraser MacBride

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41 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
We might define truth as arising from the truth-maker relation [MacBride]
     Full Idea: We might define truth using the truth-maker relation, albeit in a roundabout way, according to the pattern of saying 'S is true' is equivalent to 'there is something which makes S true'.
     From: Fraser MacBride (Truthmakers [2013], 3.3)
     A reaction: [MacBride gives it more algebraically, but I prefer English!] You would need to explain 'truth-making' without reference to truth. Horwich objects, reasonably, that ordinary people grasp 'truth' much more clearly than 'truth-making'. Bad idea, I think.
3. Truth / B. Truthmakers / 1. For Truthmakers
Phenomenalists, behaviourists and presentists can't supply credible truth-makers [MacBride]
     Full Idea: For Martin the fatal error of phenomenalists was their inability to supply credible truth-makers for truths about unobserved objects; the same error afflicted Ryle's behaviourism, ...and Prior's Presentism (for past-tensed and future-tensed truths).
     From: Fraser MacBride (Truthmakers [2013], 3.1)
     A reaction: This seems to be the original motivation for the modern rise of the truthmaker idea. Personally I find 'Napoleon won at Austerlitz' is a perfectly good past-tensed truthmaker which is compatible with presentism. Truth-making is an excellent challenge.
3. Truth / B. Truthmakers / 2. Truthmaker Relation
If truthmaking is classical entailment, then anything whatsoever makes a necessary truth [MacBride]
     Full Idea: If a truthmaker entails its truth, this threatens to over-generate truth-makers for necessary truths - at least if the entailment is classical. It's a feature of this notion that anything whatsoever entails a given necessary truth.
     From: Fraser MacBride (Truthmakers [2013], 1.1)
     A reaction: This is a good reason to think that the truth-making relation does not consist of logical entailment.
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
'Maximalism' says every truth has an actual truthmaker [MacBride]
     Full Idea: The principle of 'maximalism' is that for every truth, then there must be something in the world that makes it true.
     From: Fraser MacBride (Truthmakers [2013], 2.1)
     A reaction: That seems to mean that no truths can be uttered about anything which is not in the world. If I say 'pigs might have flown', that isn't about the modal profile of actual pigs, it is about what might have resulted from that profile.
Maximalism follows Russell, and optimalism (no negative or universal truthmakers) follows Wittgenstein [MacBride]
     Full Idea: If maximalism is intellectual heir to Russell's logical atomism, then 'optimalism' (the denial that universal and negative statements need truth-makers) is heir to Wittgenstein's version, where only atomic propositions represent states of affairs.
     From: Fraser MacBride (Truthmakers [2013], 2.2)
     A reaction: Wittgenstein's idea is that you can use the logical connectives to construct all the other universal and negative facts. 'Optimalism' restricts truthmaking to atomic statements.
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
The main idea of truth-making is that what a proposition is about is what matters [MacBride]
     Full Idea: According the Lewis, the kernel of truth in truth-making is the idea that propositions have a subject matter. They are about things, so whether they are true or false depends on how those things stand.
     From: Fraser MacBride (Truthmakers [2013], 2.4.1)
     A reaction: [Lewis 'Things Qua Truth-makers' 2003] That sounds like the first step in the story, rather than the 'kernel' of the truth-making approach.
3. Truth / B. Truthmakers / 6. Making Negative Truths
There are different types of truthmakers for different types of negative truth [MacBride]
     Full Idea: We recognise that what makes it true that there is no oil in this engine is different from what makes it true that there are no dodos left.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4.1)
     A reaction: This looks like a local particular negation up against a universal negation. I'm not sure there is a big difference between 'my dodo's gone missing' (like my oil), and 'all the dodos have gone permanently missing'.
There aren't enough positive states out there to support all the negative truths [MacBride]
     Full Idea: It's not obvious that there are enough positive states out there to underwrite all the negative truths. Even though it may be true that this liquid is odourless this needn't be because there's something further about it that excludes its being odourless.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4.1)
     A reaction: What is the ontological status of all these hypothetical truths? What is the truthmaker for 'a trillion trillion negative truths exist'? What is the status of 'this is not not-red'?
3. Truth / B. Truthmakers / 8. Making General Truths
Optimalists say that negative and universal are true 'by default' from the positive truths [MacBride]
     Full Idea: Optimalists say that negative truths are 'true by default' (having the opposite truth value of p), and universal truths are too. Universal truths are equivalent to negative existential truths, which are true by default.
     From: Fraser MacBride (Truthmakers [2013], 2.2)
     A reaction: The background idea is Wittgenstein's, that if p is false, then not-p is true by default, without anyone having to assert the negation. This strikes me as a very promising approach to truthmaking. See Simons 2008.
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Does 'this sentence has no truth-maker' have a truth-maker? Reductio suggests it can't have [MacBride]
     Full Idea: If the sentence 'This sentence has no truth-maker' has a truth-maker, then it must be true. But then what it says must be the case, so it has no truth-maker. Hence by reductio the sentence has no truth-maker.
     From: Fraser MacBride (Truthmakers [2013], 2.1.1)
     A reaction: [Argument proposed by Peter Milne 2005] Rodriguez-Pereyra replies that the sentence is meaningless, so that it can't possibly be true. The Liar sentence is also said to be meaningless. The argument opposes Maximalism.
Even idealists could accept truthmakers, as mind-dependent [MacBride]
     Full Idea: Even an idealist could accept that there are truth-makers whilst thinking of them as mind-dependent entities.
     From: Fraser MacBride (Truthmakers [2013], 3.1)
     A reaction: This undercuts anyone (me, perhaps?) who was hoping to prop up their robust realism with an angry demand to be shown the truthmakers.
Maybe 'makes true' is not an active verb, but just a formal connective like 'because'? [MacBride]
     Full Idea: Maybe the truth-maker panegyrists have misconstrued the logical form of 'makes true'. They have taken it to be a verb like 'x hits y', when really it is akin to the connective '→' or 'because'.
     From: Fraser MacBride (Truthmakers [2013], 3.7)
     A reaction: [He cites Melia 2005] This isn't any sort of refutation of truth-making, but an offer of how to think of the phenomenon if you reject the big principle. I like truth-making, but resist the 'makes' that brings unthought propositions into existence.
Truthmaker talk of 'something' making sentences true, which presupposes objectual quantification [MacBride]
     Full Idea: When supporters of truth-making talk of 'something' which makes a sentence true, they make the assumption that it is an objectual quantifier in name position.
     From: Fraser MacBride (Truthmakers [2013], 3.8)
     A reaction: We might say, more concisely, that they are 'reifying' the something. This makes it sound as if Armstrong and Bigelow have made a mistake, but that are simply asserting that this particular quantification is indeed objectual.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
     Full Idea: Very few things in set theory remain valid in intuitionist mathematics.
     From: Paul Bernays (On Platonism in Mathematics [1934])
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Connectives link sentences without linking their meanings [MacBride]
     Full Idea: The 'connectives' are expressions that link sentences but without expressing a relation that holds between the states of affairs, facts or tropes that these sentences denote.
     From: Fraser MacBride (Truthmakers [2013], 3.7)
     A reaction: MacBride notes that these contrast with ordinary verbs, which do express meaningful relations.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
'A is F' may not be positive ('is dead'), and 'A is not-F' may not be negative ('is not blind') [MacBride]
     Full Idea: Statements of the form 'a is F' aren't invariably positive ('a is dead'), and nor are statements of the form 'a isn't F' ('a isn't blind') always negative.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4)
     A reaction: The point is that the negation may be implicit in the predicate. There are many ways to affirm or deny something, other than by use of the standard syntax.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
     Full Idea: The mathematically significant properties and relations of natural numbers arise from the successor function that orders them; the natural numbers are identified simply as the objects that answer to this basic function.
     From: Fraser MacBride (Structuralism Reconsidered [2007], §1)
     A reaction: So Julius Caesar would be a number if he was the successor of Pompey the Great? I would have thought that counting should be mentioned - cardinality as well as ordinality. Presumably Peano's Axioms are being referred to.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
     Full Idea: The identification of mathematical objects with positions in structures rests upon the prior credibility of the thesis that positions are objects in their own right.
     From: Fraser MacBride (Structuralism Reconsidered [2007], §3)
     A reaction: Sounds devastating, but something has to get the whole thing off the ground. This is why Resnik's word 'patterns' is so appealing. Patterns stare you in the face, and they don't change if all the objects making it up are replaced by others.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
     Full Idea: A restricted Platonism does not claim to be more than, so to speak, an ideal projection of a domain of thought.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.261)
     A reaction: I have always found Platonism to be congenial when it talks of 'ideals', and ridiculous when it talks of a special form of 'existence'. Ideals only 'exist' because we idealise things. I may declare myself, after all, to be a Restricted Platonist.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
     Full Idea: Mathematical abstraction does not have a lesser degree than logical abstraction, but rather another direction.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.268)
     A reaction: His point is that the logicists seem to think that if you increasingly abstract from mathematics, you end up with pure logic.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Maybe it only exists if it is a truthmaker (rather than the value of a variable)? [MacBride]
     Full Idea: 'To be is to be a truth-maker' has been proposed as a replacement the standard conception of ontological commitment, that to be is to be the value of a variable.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4.2)
     A reaction: [He cites Ross Cameron 2008] Unconvincing. What does it mean to say that some remote unexperienced bit of the universe 'makes truths'? How many truths? Where do these truths reside when they aren't doing anything useful?
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Different types of 'grounding' seem to have no more than a family resemblance relation [MacBride]
     Full Idea: The concept of 'grounding' appears to cry out for treatment as a family resemblance concept, a concept whose instances have no more in common than different games do.
     From: Fraser MacBride (Truthmakers [2013], 1.6)
     A reaction: I like the word 'determinations', though MacBride's point my also apply to that. I take causation to be one species of determination, and truth-making to be another. They form a real family, with no adoptees.
Which has priority - 'grounding' or 'truth-making'? [MacBride]
     Full Idea: Some philosophers define 'grounding' in terms of 'truth-making', rather than the other way around.
     From: Fraser MacBride (Truthmakers [2013], 1.6)
     A reaction: [Cameron exemplifies the first, and Schaffer the second] I would have thought that grounding was in the world, but truth-making required the introduction of propositions about the world by minds, so grounding is prior. Schaffer is right.
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
Russell allows some complex facts, but Wittgenstein only allows atomic facts [MacBride]
     Full Idea: The logical atomism of Russell admitted some logically complex facts but not others - in contrast to Wittgenstein's version which admitted only atomic facts.
     From: Fraser MacBride (Truthmakers [2013], 2.1.3)
     A reaction: For truthmakers, it looks as if the Wittgenstein version might do a better job (e.g. with negative truths). I quite like the Russell approach, where complex facts underwrite the logical connectives. Disjunctive, negative, conjunctive, hypothetical facts.
8. Modes of Existence / A. Relations / 1. Nature of Relations
It may be that internal relations like proportion exist, because we directly perceive it [MacBride]
     Full Idea: Some philosophers maintain that we literally perceive proportions and other internal relations. These relations must exist, otherwise we couldn't perceive them.
     From: Fraser MacBride (Relations [2016], 3)
     A reaction: [He cites Mulligan 1991, and Hochberg 2013:232] This seems a rather good point. You can't perceive the differing heights of two people, yet fail to perceive that one is taller. You also perceive 'below', which is external.
8. Modes of Existence / A. Relations / 2. Internal Relations
Internal relations are fixed by existences, or characters, or supervenience on characters [MacBride]
     Full Idea: Internal relations are determined either by the mere existence of the things they relate, or by their intrinsic characters, or they supervene on the intrinsic characters of the things they relate.
     From: Fraser MacBride (Relations [2016], 3)
     A reaction: Suggesting that they 'supervene' doesn't explain anything (and supervenience never explains anything). I vote for the middle one - the intrinsic character. It has to be something about the existence, and not the mere fact of existence.
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
'Multigrade' relations are those lacking a fixed number of relata [MacBride]
     Full Idea: A 'unigrade' relation R has a definite degree or adicity: R is binary, or ternary....or n-ary (for some unique n). By contrast a relation is 'multigrade' if it fails to be unigrade. Causation appears to be multigrade.
     From: Fraser MacBride (Relations [2016], 1)
     A reaction: He also cites entailment, which may have any number of premises.
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Some dispositional properties (such as mental ones) may have no categorical base [Price,HH]
     Full Idea: There is no a priori necessity for supposing that all disposition properties must have a 'categorical base'. In particular, there may be some mental dispositions which are ultimate.
     From: H.H. Price (Thinking and Experience [1953], Ch.XI)
     A reaction: I take the notion that mental dispositions could be ultimate as rather old-fashioned, but I agree with the notion that dispositions might be more fundamental that categorical (actual) properties. Personally I like 'powers'.
10. Modality / A. Necessity / 6. Logical Necessity
Wittgenstein's plan to show there is only logical necessity failed, because of colours [MacBride]
     Full Idea: It is almost universally acknowledged that Wittgenstein's plan to show all necessity is logical necessity ended in failure - indeed foundered upon the very problem of explaining colour incompatibilities.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4.1)
     A reaction: I'm not sure whether you can 'show' that colour incompatibility is some sort of necessity, though intuitively it seems so. I'm thinking that 'necessity' is a unitary concept, with a wide variety of sources generating it.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Before we can abstract from an instance of violet, we must first recognise it [Price,HH]
     Full Idea: Abstraction is preceded by an earlier stage, in which we learn to recognize instances; before I can conceive of the colour violet in abstracto, I must learn to recognize instances of this colour when I see them.
     From: H.H. Price (Thinking and Experience [1953], Ch.II)
     A reaction: The problem here might be one of circularity. If you are actually going to identify something as violet, you seem to need the abstract concept of 'violet' in advance. See Idea 9034 for Price's attempt to deal with the problem.
If judgement of a characteristic is possible, that part of abstraction must be complete [Price,HH]
     Full Idea: If we are to 'judge' - rightly or not - that this object has a specific characteristic, it would seem that so far as the characteristic is concerned the process of abstraction must already be completed.
     From: H.H. Price (Thinking and Experience [1953], Ch.III)
     A reaction: Personally I think Price is right, despite the vicious attack from Geach that looms. We all know the experiences of familiarity, recognition, and identification that go on when see a person or picture. 'What animal is that, in the distance?'
There may be degrees of abstraction which allow recognition by signs, without full concepts [Price,HH]
     Full Idea: If abstraction is a matter of degree, and the first faint beginnings of it are already present as soon as anything has begun to feel familiar to us, then recognition by means of signs can occur long before the process of abstraction has been completed.
     From: H.H. Price (Thinking and Experience [1953], Ch.III)
     A reaction: I like this, even though it is unscientific introspective psychology, for which no proper evidence can be adduced - because it is right. Neuroscience confirms that hardly any mental life has an all-or-nothing form.
There is pre-verbal sign-based abstraction, as when ice actually looks cold [Price,HH]
     Full Idea: We must still insist that some degree of abstraction, and even a very considerable degree of it, is present in sign-cognition, pre-verbal as it is. ...To us, who are familiar with northern winters, the ice actually looks cold.
     From: H.H. Price (Thinking and Experience [1953], Ch.IV)
     A reaction: Price may be in the weak position of doing armchair psychology, but something like his proposal strikes me as correct. I'm much happier with accounts of thought that talk of 'degrees' of an activity, than with all-or-nothing cut-and-dried pictures.
Intelligent behaviour, even in animals, has something abstract about it [Price,HH]
     Full Idea: Though it may sound odd to say so, intelligent behaviour has something abstract about it no less than intelligent cognition; and indeed at the animal level it is unrealistic to separate the two.
     From: H.H. Price (Thinking and Experience [1953], Ch.IV)
     A reaction: This elusive thought strikes me as being a key one for understanding human existence. To think is to abstract. Brains are abstraction machines. Resemblance and recognition require abstaction.
18. Thought / A. Modes of Thought / 1. Thought
Recognition must precede the acquisition of basic concepts, so it is the fundamental intellectual process [Price,HH]
     Full Idea: Recognition is the first stage towards the acquisition of a primary or basic concept. It is, therefore, the most fundamental of all intellectual processes.
     From: H.H. Price (Thinking and Experience [1953], Ch.II)
     A reaction: An interesting question is whether it is an 'intellectual' process. Animals evidently recognise things, though it is a moot point whether slugs 'recognise' tasty leaves.
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
We reach concepts by clarification, or by definition, or by habitual experience [Price,HH]
     Full Idea: We have three different ways in which we arrive at concepts or universals: there is a clarification, where we have a ready-made concept and define it; we have a combination (where a definition creates a concept); and an experience can lead to a habit.
     From: H.H. Price (Review of Aron 'Our Knowledge of Universals' [1946], p.190)
     A reaction: [very compressed] He cites Russell as calling the third one a 'condensed induction'. There seems to an intellectualist and non-intellectualist strand in the abstractionist tradition.
18. Thought / E. Abstraction / 1. Abstract Thought
Abstractions can be interpreted dispositionally, as the ability to recognise or imagine an item [Price,HH]
     Full Idea: An abstract idea may have a dispositional as well as an occurrent interpretation. ..A man who possesses the concept Dog, when he is actually perceiving a dog can recognize that it is one, and can think about dogs when he is not perceiving any dog.
     From: H.H. Price (Thinking and Experience [1953], Ch.IX)
     A reaction: Ryle had just popularised the 'dispositional' account of mental events. Price is obviously right. The man may also be able to use the word 'dog' in sentences, but presumably dogs recognise dogs, and probably dream about dogs too.
If ideas have to be images, then abstract ideas become a paradoxical problem [Price,HH]
     Full Idea: There used to be a 'problem of Abstract Ideas' because it was assumed that an idea ought, somehow, to be a mental image; if some of our ideas appeared not to be images, this was a paradox and some solution must be found.
     From: H.H. Price (Thinking and Experience [1953], Ch.VIII)
     A reaction: Berkeley in particular seems to be struck by the fact that we are incapable of thinking of a general triangle, simply because there is no image related to it. Most conversations go too fast for images to form even of very visual things.
18. Thought / E. Abstraction / 2. Abstracta by Selection
A 'felt familiarity' with universals is more primitive than abstraction [Price,HH]
     Full Idea: A 'felt familiarity' with universals seems to be more primitive than explicit abstraction.
     From: H.H. Price (Review of Aron 'Our Knowledge of Universals' [1946], p.188)
     A reaction: This I take to be part of the 'given' of the abstractionist view, which is quite well described in the first instance by Aristotle. Price says that it is 'pre-verbal'.
Our understanding of 'dog' or 'house' arises from a repeated experience of concomitances [Price,HH]
     Full Idea: Whether you call it inductive or not, our understanding of such a word as 'dog' or 'house' does arise from a repeated experience of concomitances.
     From: H.H. Price (Review of Aron 'Our Knowledge of Universals' [1946], p.191)
     A reaction: Philosophers don't use phrases like that last one any more. How else could we form the concept of 'dog' - if we are actually allowed to discuss the question of concept-formation, instead of just the logic of concepts.
The basic concepts of conceptual cognition are acquired by direct abstraction from instances [Price,HH]
     Full Idea: Basic concepts are acquired by direct abstraction from instances; unless there were some concepts acquired in this way by direct abstraction, there would be no conceptual cognition at all.
     From: H.H. Price (Thinking and Experience [1953], Ch.II)
     A reaction: This seems to me to be correct. A key point is that not only will I acquire the concept of 'dog' in this direct way, from instances, but also the concept of 'my dog Spot' - that is I can acquire the abstract concept of an instance from an instance.