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All the ideas for 'Structures and Structuralism in Phil of Maths', 'True Method in Philosophy and Theology' and 'Three Dialogues of Hylas and Philonous'

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54 ideas

3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
     Full Idea: While truth can be defined in a relative way, as truth in one particular model, a non-relative notion of truth is implied, as truth in all models.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: [The article is actually discussing arithmetic] This idea strikes me as extremely important. True-in-all-models is usually taken to be tautological, but it does seem to give a more universal notion of truth. See semantic truth, Tarski, Davidson etc etc.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
     Full Idea: In standard ZFC ('Zermelo-Fraenkel with Choice') set theory we deal merely with pure sets, not with additional urelements.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: The 'urelements' would the actual objects that are members of the sets, be they physical or abstract. This idea is crucial to understanding philosophy of mathematics, and especially logicism. Must the sets exist, just as the urelements do?
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
     Full Idea: In second-order logic there are three kinds of variables, for objects, for functions, and for predicates or sets.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: It is interesting that a predicate seems to be the same as a set, which begs rather a lot of questions. For those who dislike second-order logic, there seems nothing instrinsically wicked in having variables ranging over innumerable multi-order types.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
     Full Idea: 'Analysis' is the theory of the real numbers.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: 'Analysis' began with the infinitesimal calculus, which later built on the concept of 'limit'. A continuum of numbers seems to be required to make that work.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
     Full Idea: The difficulties for a nominalistic mereological approach to arithmetic is that an infinity of physical objects are needed (space-time points? strokes?), and it must define functions, such as 'successor'.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: Many ontologically austere accounts of arithmetic are faced with the problem of infinity. The obvious non-platonist response seems to be a modal or if-then approach. To postulate infinite abstract or physical entities so that we can add 3 and 2 is mad.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
     Full Idea: A common formulation of Peano Arithmetic uses 2nd-order logic, the constant '1', and a one-place function 's' ('successor'). Three axioms then give '1 is not a successor', 'different numbers have different successors', and induction.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: This is 'second-order' Peano Arithmetic, though it is at least as common to formulate in first-order terms (only quantifying over objects, not over properties - as is done here in the induction axiom). I like the use of '1' as basic instead of '0'!
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
     Full Idea: The merits of basing an account of mathematics on set theory are that it allows for a comprehensive unified treatment of many otherwise separate branches of mathematics, and that all assumption, including existence, are explicit in the axioms.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I am forming the impression that set-theory provides one rather good model (maybe the best available) for mathematics, but that doesn't mean that mathematics is set-theory. The best map of a landscape isn't a landscape.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
     Full Idea: Structuralism has emerged from the development of abstract algebra (such as group theory), the creation of axiom systems, the introduction of set theory, and Bourbaki's encyclopaedic survey of set theoretic structures.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: In other words, mathematics has gradually risen from one level of abstraction to the next, so that mathematical entities like points and numbers receive less and less attention, with relationships becoming more prominent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
     Full Idea: Relativist Structuralism simply picks one particular model of axiomatised arithmetic (i.e. one particular interpretation that satisfies the axioms), and then stipulates what the elements, functions and quantifiers refer to.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: The point is that a successful model can be offered, and it doesn't matter which one, like having any sort of aeroplane, as long as it flies. I don't find this approach congenial, though having a model is good. What is the essence of flight?
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
     Full Idea: The term 'structure' has two uses in the literature, what can be called 'particular structures' (which are particular relational systems), but also what can be called 'universal structures' - what particular systems share, or what they instantiate.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §6)
     A reaction: This is a very helpful distinction, because it clarifies why (rather to my surprise) some structuralists turn out to be platonists in a new guise. Personal my interest in structuralism has been anti-platonist from the start.
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
     Full Idea: According to 'pattern' structuralism, what we study are not the various particular isomorphic models of arithmetic, but something in addition to them: a corresponding pattern.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §7)
     A reaction: Put like that, we have to feel a temptation to wield Ockham's Razor. It's bad enough trying to give the structure of all the isomorphic models, without seeking an even more abstract account of underlying patterns. But patterns connect to minds..
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
     Full Idea: There are four main variants of structuralism in the philosophy of mathematics - formalist structuralism, relativist structuralism, universalist structuralism (with modal variants), and pattern structuralism.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §9)
     A reaction: I'm not sure where Chihara's later book fits into this, though it is at the nominalist end of the spectrum. Shapiro and Resnik do patterns (the latter more loosely); Hellman does modal universalism; Quine does the relativist version. Dedekind?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
     Full Idea: Formalist Structuralism endorses structural methodology in mathematics, but rejects semantic and metaphysical problems as either meaningless, or purely formal, or as inference relations.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §3)
     A reaction: [very compressed] I find the third option fairly congenial, certainly in preference to rather platonist accounts of structuralism. One still needs to distinguish the mathematical from the non-mathematical in the inference relations.
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
     Full Idea: It is tempting to take a modal turn, and quantify over all possible objects, because if there are only a finite number of actual objects, then there are no models (of the right sort) for Peano Arithmetic, and arithmetic is vacuously true.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: [compressed; Geoffrey Hellman is the chief champion of this view] The article asks whether we are not still left with the puzzle of whether infinitely many objects are possible, instead of existent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
     Full Idea: Universalist Structuralism is a semantic thesis, that an arithmetical statement asserts a universal if-then statement. We build an if-then statement (using quantifiers) into the structure, and we generalise away from any one particular model.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: There remains the question of what is distinctively mathematical about the highly generalised network of inferences that is being described. Presumable the axioms capture that, but why those particular axioms? Russell is cited as an originator.
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
     Full Idea: Universalist Structuralism is eliminativist about abstract objects, in a distinctive form. Instead of treating the base element (say '1') as an ambiguous referring expression (the Relativist approach), it is a variable which is quantified out.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: I am a temperamental eliminativist on this front (and most others) so this is tempting. I am also in love with the concept of a 'variable', which I take to be utterly fundamental to all conceptual thought, even in animals, and not just a trick of algebra.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
     Full Idea: Relativist Structuralism must first assume the existence of an infinite set, otherwise there would be no model to pick, and arithmetical terms would have no reference.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: See Idea 10169 for Relativist Structuralism. They point out that ZFC has an Axiom of Infinity.
7. Existence / A. Nature of Existence / 5. Reason for Existence
I do not believe in the existence of anything, if I see no reason to believe it [Berkeley]
     Full Idea: It is to me a sufficient reason not to believe the existence of anything, if I see no reason for believing it.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.205)
     A reaction: This may just be a reasonable application of Ockham's Razor, but I fear that Berkeley painted himself into corner by demanding too many 'reasons' for everything.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
What is not active is nothing [Leibniz]
     Full Idea: We can now show from the inner truths of metaphysics that what is not active is nothing.
     From: Gottfried Leibniz (True Method in Philosophy and Theology [1686], p.64)
     A reaction: This is Leibniz's rebellion against the Cartesian idea that all that matters for natural existence is spatial extension. I agree (tentatively) with Leibniz's vision of nature here. Modern physics reveals a seething turmoil beneath the placid exterior.
I know that nothing inconsistent can exist [Berkeley]
     Full Idea: I know that nothing inconsistent can exist.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.224)
     A reaction: Fine, but the problem is to assess with confidence what is inconsistent. Human imagination seems to be the test for existence. But what else can we do?
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
     Full Idea: One way for a nominalist to reject appeal to all abstract objects, including sets, is to only appeal to nominalistically acceptable objects, including mereological sums.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I'm suddenly thinking that this looks very interesting and might be the way to go. The issue seems to be whether mereological sums should be seen as constrained by nature, or whether they are unrestricted. See Mereology in Ontology...|Intrinsic Identity.
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
There is no other substance, in a strict sense, than spirit [Berkeley]
     Full Idea: There is no other substance, in a strict sense, than spirit.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.257)
     A reaction: A nice clear statement of idealism. Why is he so confident of making this assertion. Note the addition, though, of 'in a strict' sense. He is presenting an epistemological claim as if it was an ontological one.
10. Modality / A. Necessity / 10. Impossibility
A thing is shown to be impossible if a contradiction is demonstrated within its definition [Berkeley]
     Full Idea: A thing is shown to be impossible when a repugnancy is demonstrated between the ideas comprehended in its definition.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.214)
     A reaction: The problem is always that imagination is needed to see the 'repugnancy', and that is relative and limited.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
Since our ideas vary when the real things are said to be unchanged, they cannot be true copies [Berkeley]
     Full Idea: As our ideas are perpetually varied, without any change in the supposed real things, it necessarily follows that they cannot all be true copies of them.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.239)
     A reaction: This seems a good objection to any direct or naïve realist view. Colours get darker as the sun goes down, and objects become blurred as they recede into the distance.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
If existence is perceived directly, by which sense; if indirectly, how is it inferred from direct perception? [Berkeley]
     Full Idea: Either you perceive the being of matter immediately, or mediately; if immediately, pray inform me by which of the senses you perceive it; if mediately, let me know by what reasonings it is inferred from those things which you perceive immediately.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.208)
     A reaction: A problem for strong empiricists, and he is right that existence can't be directly perceived, but it seems a good explanation (for which some reason can be shown), and supports a more rationalist view.
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Sensible objects are just sets of sensible qualities [Berkeley]
     Full Idea: Sensible things are nothing else but so many sensible qualities.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.154)
     A reaction: As it stands this is phenomenalism, but Berkeley eventually votes for idealism. He should acknowledge possible sensations which aren't actually experienced.
Berkeley did not deny material things; he merely said they must be defined through sensations [Berkeley, by Ayer]
     Full Idea: Berkeley did not (as we are commonly told) deny the reality of material things. ..What Berkeley discovered was that material things must be defined in terms of sense-contents.
     From: report of George Berkeley (Three Dialogues of Hylas and Philonous [1713]) by A.J. Ayer - Language,Truth and Logic Ch.2
     A reaction: This seems to be a rather debatable attempt to claim that Berkeley was a phenomenalist (like Ayer), rather than an idealist. Try ideas 3942, 3944, 3945, 3957, 3959 in this database.
Berkeley needed a phenomenalist account of the self, as well as of material things [Ayer on Berkeley]
     Full Idea: The considerations which make it necessary, as Berkeley saw, to give a phenomenalist account of material things, make it necessary also, as Berkeley did not see, to give a phenomenalist account of the self.
     From: comment on George Berkeley (Three Dialogues of Hylas and Philonous [1713]) by A.J. Ayer - Language,Truth and Logic Ch.7
     A reaction: Phenomenalism involves 'possible' experiences as well as actual ones. That could add up to quite a rich and stable account of the self, as opposed to Hume's notorious introspection, which only saw an actual shifting 'bundle' of experience.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / c. Empirical idealism
'To be is to be perceived' is a simple confusion of experience with its objects [Russell on Berkeley]
     Full Idea: Berkeley thinks 'to be is to be perceived', and only God provides continuity. He has simply confused the experience of perception with the thing being perceived. Ideas have content.
     From: comment on George Berkeley (Three Dialogues of Hylas and Philonous [1713]) by Bertrand Russell - Problems of Philosophy
For Berkelely, reality is ideas and a community of minds, including God's [Berkeley, by Grayling]
     Full Idea: Berkeley's thesis is that reality ultimately consists of a community of minds and their ideas; one of the minds (God) is infinite, and causes most of the ideas.
     From: report of George Berkeley (Three Dialogues of Hylas and Philonous [1713]) by A.C. Grayling - Russell Ch.2
     A reaction: I think Russell nicely pinpoints what is wrong with Berekely, which is that he confuses ideas with their contents. If I think about my garden, the garden is real (probably), which is the content, and they idea is just a way of thinking.
Time is measured by the succession of ideas in our minds [Berkeley]
     Full Idea: Time is measured by the succession of ideas in our minds.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.172)
     A reaction: But we distinguish between subjective time (which flies when you are having fun), and objective time, judged from observation of clocks and nature.
There is no such thing as 'material substance' [Berkeley]
     Full Idea: That there is no such thing as what philosophers call 'material substance', I am seriously persuaded.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.150)
     A reaction: I'm sorry, but I can't do with this. It confuses epistemology with ontology. Ontology is a matter of judgement; epistemology is the evidence on which we base it. We know sensations; personally I judge that there are material substances. What about you?
I conceive a tree in my mind, but I cannot prove that its existence can be conceived outside a mind [Berkeley]
     Full Idea: I may conceive in my own thoughts the idea of a tree, but that is all. And this is far from proving that I can conceive it existing out of the minds of all spirits.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.184)
     A reaction: If Berkeley has based a world view on this point, then his mistake is to require a 'proof'. Aristotle explained why you can't prove everything (not to mention Gödel).
There is nothing in nature which needs the concept of matter to explain it [Berkeley]
     Full Idea: I challenge you to show me that thing in nature which needs matter to explain or account for it.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.212)
     A reaction: I disagree. Physics is a good theory for explaining why we have perceptions. Failing that there is not even a glimmer of an explanation of our experiences.
Perceptions are ideas, and ideas exist in the mind, so objects only exist in the mind [Berkeley]
     Full Idea: Wood, fire, water, flesh, iron, are things that I know, and only known because I perceive them by my senses; these are immediately perceived, and so are ideas; ideas cannot exist without the mind; their existence consists therefore in being perceived.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.220)
     A reaction: This makes no distinction between an idea and its content. Berkeley fails to grasp the weird concept of intentionality. Trees aren't in my head, just because I think about them!
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities (such as shape, solidity, mass) are held to really exist, unlike secondary qualities [Berkeley]
     Full Idea: Sensible qualities are by philosophers divided into primary and secondary; the former are extension, figure, solidity, gravity, motion and rest, which exist really in bodies.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.169)
     A reaction: A crucial distinction, which anti-realists such as Berkeley end up denying. I think it is a good distinction, and philosophers should fight to preserve it.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
A mite would see its own foot as large, though we would see it as tiny [Berkeley]
     Full Idea: A mite must be supposed to see his own foot as a body of some considerable dimension, though they appear to you scarcely discernible.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.170)
     A reaction: Berkeley is confused. Hot is secondary, but temperature is primary. Bigness is secondary, size primay. Midgets and tall people don't disagree over the size of a table.
The apparent size of an object varies with its distance away, so that can't be a property of the object [Berkeley]
     Full Idea: As we approach to or recede from an object, the visible extension varies, being at one distance ten or a hundred times greater than at another; doth it not follow that it is not really inherent in the object?
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.171)
     A reaction: Berkeley is confused, because he is too literally empirical. Qualities are not self-evidently primary or secondary, but are judged so after comparisons (e.g. with testimony, or with the other senses).
'Solidity' is either not a sensible quality at all, or it is clearly relative to our senses [Berkeley]
     Full Idea: By 'solidity' either you do not mean any sensible quality, and so it is beside our enquiry; or if you do, it must be hardness or resistance, which are plainly relative to our senses.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.173)
     A reaction: Berkeley fails to recognise that a quality can have primary and secondary aspects (hot/high temperature). He is right that primary qualities are not directly perceived. They are judgements.
Distance is not directly perceived by sight [Berkeley]
     Full Idea: Distance is not properly and immediately perceived by sight.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.186)
     A reaction: Interestingly, if secondary qualities are not strictly perceptions of the object, and primary qualities are not directly perceived, then we don't seem to perceive anything at all. Perhaps we should drop the concept of 'perception'?
12. Knowledge Sources / B. Perception / 3. Representation
Immediate objects of perception, which some treat as appearances, I treat as the real things themselves [Berkeley]
     Full Idea: Those immediate objects of perception, which, according to you, are only appearances of things, I take to be the real things themselves.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.237)
     A reaction: If that is a judgement, which it seems to be, it is a strange one. Realists offer a much better explanation of perceptions.
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Real things and imaginary or dreamed things differ because the latter are much fainter [Berkeley]
     Full Idea: The difference between real things, and chimeras formed by the imagination, or the visions of a dream, is that the latter are faint and indistinct.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.225)
     A reaction: In Hume this becomes 'impressions' and 'ideas'. It does raise the question of WHY some ideas are not as faint as others.
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Geometry is originally perceived by senses, and so is not purely intellectual [Berkeley]
     Full Idea: Figures and extension, being originally perceived by sense, do not belong to pure intellect.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.176)
     A reaction: Is the square root of 169 less 'pure' in my mind if I learn it from laying out bricks instead of by thinking about numbers? Confusion of how you learn with what you learn?
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
It is possible that we could perceive everything as we do now, but nothing actually existed. [Berkeley]
     Full Idea: We might perceive all things just as we do now, though there was no matter in the world.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.209)
     A reaction: An old Greek argument. Now we have an explanation of experience, but we wouldn't if nothing existed. Which doesn't prove that anything exists. Is some explanation always preferable to none? Cf. religion.
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
A hot hand and a cold hand will have different experiences in the same tepid water [Berkeley]
     Full Idea: Suppose now one of your hands hot, and the other cold, and that they are both at once put into the same vessel of water, in an intermediate state; will not the water seem cold to one hand, and warm to the other?
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], I p.158)
     A reaction: A nice clear example of how some relativism must be acknowledged. It feels hot, but what is its temperature in degrees C?
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Experience tells me that other minds exist independently from my own [Berkeley]
     Full Idea: It is plain that other minds have an existence exterior to my mind, since I find them by experience to be independent of it.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.220)
     A reaction: This is a surprising claim from Berkeley. If trees only exist through their experience in my mind, why don't other minds exist in the same way?
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
How can that which is unthinking be a cause of thought? [Berkeley]
     Full Idea: How can that which is unthinking be a cause of thought?
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.203)
     A reaction: Presumably, though, he thinks that thought can cause 'that which is unthinking' to move'. He likes one half of the interaction problem (which supports dualism), but avoids the other half.
18. Thought / C. Content / 2. Ideas
Berkeley probably used 'idea' to mean both the act of apprehension and the thing apprehended [Russell on Berkeley]
     Full Idea: Berkeley seems to have confused the colour of the thing apprehended with the act of apprehension; probably either of these would have been called an 'idea' be Berkeley.
     From: comment on George Berkeley (Three Dialogues of Hylas and Philonous [1713]) by Bertrand Russell - Problems of Philosophy
     A reaction: If we are saying that Berkeley's error was entirely verbal, there is a chicken-and-egg problem. He was an idealist, so he wouldn't have thought that there were two separate concepts behind the word 'idea'. Russell merely asserts that there are.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
Immorality is not in the action, but in the deviation of the will from moral law [Berkeley]
     Full Idea: Sin or moral turpitude doth not consist in the outward physical action or motion, but in the internal deviation of the will from the laws of reason and religion.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.227)
     A reaction: A Kantian view (that the only good thing is a good will). It is a very empiricist (and anti-Greek) view to deny that actions have any intrinsic value.
28. God / B. Proving God / 1. Proof of God
There must be a God, because all sensible things must be perceived by him [Berkeley]
     Full Idea: I immediately and necessarily conclude the being of a God, because all sensible things must be perceived by him.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.198)
     A reaction: Daft. This contradicts Berkeley's whole empiricist position, that existence depends on known experience. Who knows whether God is thinking about trees?
There must be a God, because I and my ideas are not independent [Berkeley]
     Full Idea: From the dependency I find in myself and my ideas, I do by an act of reason necessarily infer the existence of a God.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.222)
     A reaction: No. Hume answered this, by showing how big abstract ideas are built up from experience. This is a future bishop's wish-fulfilment.
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
It has been proved that creation is the workmanship of God, from its beauty and usefulness [Berkeley]
     Full Idea: Divines and philosophers have proved beyond all controversy, from the beauty and usefulness of the several parts of creation, that it was the workmanship of God.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], II p.198)
     A reaction: Not convincing. Beauty is probably a sublimation of sexual desire (or an echo of the human mind in the external world, in music), and utility is relative to homo sapiens, I presume.
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
People are responsible because they have limited power, though this ultimately derives from God [Berkeley]
     Full Idea: Thinking rational beings, in the production of motions, have the use of limited powers, ultimately derived from God, but immediately under the direction of their own wills, which is sufficient to entitle them to all the guilt of their own actions.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.228)
     A reaction: An episcopal evasion. A classic attempt to have cake and eat it. Either God is in charge or he isn't.
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
If sin is not just physical, we don't consider God the origin of sin because he causes physical events [Berkeley]
     Full Idea: If sin doth not consist of purely physical actions, the making God a cause of all such actions, is not making him the author of sin.
     From: George Berkeley (Three Dialogues of Hylas and Philonous [1713], III p.227)
     A reaction: An equivocation. If responsibility resides in consciousness, God is presumably conscious, and we can judge the events he causes.