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All the ideas for 'Theaetetus', 'Properties' and 'Metaphysical conseqs of principle of reason'

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54 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophers are always switching direction to something more interesting [Plato]
     Full Idea: Philosophers are always ready to change direction, if a topic crops up which is more attractive than the one to hand.
     From: Plato (Theaetetus [c.368 BCE], 172d)
     A reaction: Which sounds trivial, but it may be what God does.
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Understanding mainly involves knowing the elements, not their combinations [Plato]
     Full Idea: A perfect grasp of any subject depends far more on knowing elements than on knowing complexes.
     From: Plato (Theaetetus [c.368 BCE], 206b)
Either a syllable is its letters (making parts as knowable as whole) or it isn't (meaning it has no parts) [Plato]
     Full Idea: Either a syllable is not the same as its letters, in which case it cannot have the letters as parts of itself, or it is the same as its letters, in which case these basic elements are just as knowable as it is.
     From: Plato (Theaetetus [c.368 BCE], 205b)
2. Reason / A. Nature of Reason / 6. Coherence
A rational account is essentially a weaving together of things with names [Plato]
     Full Idea: Just as primary elements are woven together, so their names may be woven together to produce a spoken account, because an account is essentially a weaving together of names.
     From: Plato (Theaetetus [c.368 BCE], 202b)
     A reaction: If justification requires 'logos', and logos is a 'weaving together of names', then Plato might be taken as endorsing the coherence account of justification. Or do the two 'weavings' correspond?
2. Reason / C. Styles of Reason / 3. Eristic
Eristic discussion is aggressive, but dialectic aims to help one's companions in discussion [Plato]
     Full Idea: Eristic discussions involve as many tricks and traps as possible, but dialectical discussions involve being serious and correcting the interlocutor's mistakes only when they are his own fault or the result of past conditioning.
     From: Plato (Theaetetus [c.368 BCE], 167e)
2. Reason / D. Definition / 4. Real Definition
A primary element has only a name, and no logos, but complexes have an account, by weaving the names [Plato]
     Full Idea: A primary element cannot be expressed in an account; it can only be named, for a name is all that it has. But with the things composed of these ...just as the elements are woven together, so the names can woven to become an account.
     From: Plato (Theaetetus [c.368 BCE], 202b01-3)
     A reaction: This is the beginning of what I see as Aristotle's metaphysics, as derived from his epistemology, that is, ontology is what explains, and what we can give an account [logos] of. Aristotle treats this under 'definitions'.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
In the iterative conception of sets, they form a natural hierarchy [Swoyer]
     Full Idea: In the iterative conception of sets, they form a natural hierarchy.
     From: Chris Swoyer (Properties [2000], 4.1)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical Form explains differing logical behaviour of similar sentences [Swoyer]
     Full Idea: 'Logical Form' is a technical notion motivated by the observation that sentences with a similar surface structure may exhibit quite different logical behaviour.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: [Swoyer goes on to give some nice examples] The tricky question is whether each sentence has ONE logical form. Pragmatics warns us of the dangers. One needs to check numerous inferences from a given sentences, not just one.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We master arithmetic by knowing all the numbers in our soul [Plato]
     Full Idea: It must surely be true that a man who has completely mastered arithmetic knows all numbers? Because there are pieces of knowledge covering all numbers in his soul.
     From: Plato (Theaetetus [c.368 BCE], 198b)
     A reaction: This clearly views numbers as objects. Expectation of knowing them all is a bit startling! They also appear to be innate in us, and hence they appear to be Forms. See Aristotle's comment in Idea 645.
7. Existence / B. Change in Existence / 1. Nature of Change
There seem to be two sorts of change: alteration and motion [Plato]
     Full Idea: There are two kinds of change, I think: alteration and motion.
     From: Plato (Theaetetus [c.368 BCE], 181d)
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is nowadays seen as between properties, rather than linguistic [Swoyer]
     Full Idea: Supervenience is sometimes taken to be a relationship between two fragments of language, but it is increasingly taken to be a relationship between pairs of families of properties.
     From: Chris Swoyer (Properties [2000], 7.17)
     A reaction: If supervenience is a feature of the world, rather than of our descriptions, then it cries out for explanation, just as any other regularities do. Personally I would have thought the best explanation of the supervenience of mind and body was obvious.
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]
     Full Idea: What (in the analysis of substances) exist ultimately are simple substances - namely, souls, or, if you prefer a more general terms, 'monads', which are without parts.
     From: Gottfried Leibniz (Metaphysical conseqs of principle of reason [1712], §7)
     A reaction: This seems to me to be atomistic panpsychism. He is opposed to physical atomism, because infinite divisibility seems obvious, but unity is claimed to be equally obvious in the world of the mental. Does this mean bricks are made of souls? Odd.
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists can't explain different methods to measure distance [Swoyer]
     Full Idea: Anti-realists theories of measurement (like operationalism) cannot explain how we can use different methods to measure the same thing (e.g. lengths and distances in cosmology, geology, histology and atomic physics).
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: Swoyer says that the explanation is that measurement aims at objective properties, the same in each of these areas. Quite good.
8. Modes of Existence / B. Properties / 1. Nature of Properties
If a property such as self-identity can only be in one thing, it can't be a universal [Swoyer]
     Full Idea: Some properties may not be universals, if they can only be exemplified by one thing, such as 'being identical with Socrates'.
     From: Chris Swoyer (Properties [2000])
     A reaction: I think it is absurd to think that self-identity is an intrinsic 'property', possessed by everything. That a=a is a convenience for logicians, meaning nothing in the world. And it is relational. The sharing of properties is indeed what needs explanation.
Can properties have parts? [Swoyer]
     Full Idea: Can properties have parts?
     From: Chris Swoyer (Properties [2000], 6.4)
     A reaction: If powers are more fundamental than properties, with the latter often being complexes of the underlying powers, then yes they do. But powers don't. Presumably whatever is fundamental shouldn't have parts. Why?
8. Modes of Existence / B. Properties / 5. Natural Properties
There are only first-order properties ('red'), and none of higher-order ('coloured') [Swoyer]
     Full Idea: 'Elementarism' is the view that there are first-order properties, but that there are no properties of any higher-order. There are first-order properties like various shades of red, but there is no higher-order property, like 'being a colour'.
     From: Chris Swoyer (Properties [2000], 7.1)
     A reaction: [He cites Bergmann 1968] Interesting. Presumably the programme is naturalistic (and hence congenial to me), and generalisations about properties are conceptual, while the properties themselves are natural.
8. Modes of Existence / B. Properties / 11. Properties as Sets
The best-known candidate for an identity condition for properties is necessary coextensiveness [Swoyer]
     Full Idea: The best-known candidate for an identity condition for properties is necessary coextensiveness.
     From: Chris Swoyer (Properties [2000], 6)
     A reaction: The necessity (in all possible worlds) covers renates and cordates. It is hard to see how one could assert the necessity without some deeper explanation. What makes us deny that actually coextensive renates and cordates have different properties?
8. Modes of Existence / D. Universals / 1. Universals
Various attempts are made to evade universals being wholly present in different places [Swoyer]
     Full Idea: The worry that a single thing could be wholly present in widely separated locations has led to trope theory, to the claim that properties are not located in their instances, or to the view that this treats universals as if they were individuals.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: I find it dispiriting to come to philosophy in the late twentieth century and have to inherit such a ridiculous view as that there are things that are 'wholly present' in many places.
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Conceptualism says words like 'honesty' refer to concepts, not to properties [Swoyer]
     Full Idea: Conceptualists urge that words like 'honesty', which might seem to refer to properties, really refer to concepts. A few contemporary philosophers have defended conceptualism, and recent empirical work bears on it, but the view is no longer common.
     From: Chris Swoyer (Properties [2000], 1.1)
     A reaction: ..and that's all Swoyer says about this very interesting view! He only cites Cocchiarella 1986 Ch.3. The view leaves a lot of work to be done in explaining how nature is, and how our concepts connect to it, and arise in response to it.
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
     Full Idea: If properties are abstract objects, then the property of being abstract should itself exemplify the property of being abstract.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: Swoyer links this observation with Plato's views on self-predication, and his Third Man Argument (which I bet originated with Aristotle in the Academy!). Do we have a regress of objects, as well as a regress of properties?
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
If a word has no parts and has a single identity, it turns out to be the same kind of thing as a letter [Plato]
     Full Idea: If a complex or a syllable has no parts and is a single identity, hasn't it turned out to be the same kind of thing as an element or letter?
     From: Plato (Theaetetus [c.368 BCE], 205d)
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A sum is that from which nothing is lacking, which is a whole [Plato]
     Full Idea: But this sum now - isn't it just when there is nothing lacking that it is a sum? Yes, necessarily. And won't this very same thing - that from which nothing is lacking - be a whole?
     From: Plato (Theaetetus [c.368 BCE], 205a)
     A reaction: This seems to be right, be rather too vague and potentially circular to be of much use. What is the criterion for deciding that nothing is lacking?
The whole can't be the parts, because it would be all of the parts, which is the whole [Plato]
     Full Idea: The whole does not consist of parts; for it did, it would be all the parts and so would be the sum.
     From: Plato (Theaetetus [c.368 BCE], 204e)
     A reaction: That is, 'the whole is the sum of its parts' is a tautology! The claim that 'the whole is more than the sum of its parts' gets into similar trouble. See Verity Harte on this.
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
One might hope to reduce possible worlds to properties [Swoyer]
     Full Idea: One might hope to reduce possible worlds to properties.
     From: Chris Swoyer (Properties [2000], 4.1)
     A reaction: [He cites Zalta 1983 4.2, and Forrest 1986] I think we are dealing with nothing more than imagined possibilities, which are inferred from our understanding of the underlying 'powers' of the actual world (expressed as 'properties').
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Things are only knowable if a rational account (logos) is possible [Plato]
     Full Idea: Things which are susceptible to a rational account are knowable.
     From: Plato (Theaetetus [c.368 BCE], 201d)
11. Knowledge Aims / A. Knowledge / 2. Understanding
Expertise is knowledge of the whole by means of the parts [Plato]
     Full Idea: A man has passed from mere judgment to expert knowledge of the being of a wagon when he has done so in virtue of having gone over the whole by means of the elements.
     From: Plato (Theaetetus [c.368 BCE], 207c)
     A reaction: Plato is emphasising that the expert must know the hundred parts of a wagon, and not just the half dozen main components, but here the point is to go over the whole via the parts, and not just list the parts.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
It is impossible to believe something which is held to be false [Plato]
     Full Idea: It is impossible to believe something which is not the case.
     From: Plato (Theaetetus [c.368 BCE], 167a)
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
How can a belief exist if its object doesn't exist? [Plato]
     Full Idea: If the object of a belief is what is not, the object of this belief is nothing; but if there is no object to a belief, then that is not belief at all.
     From: Plato (Theaetetus [c.368 BCE], 189a)
12. Knowledge Sources / B. Perception / 1. Perception
Perception is infallible, suggesting that it is knowledge [Plato]
     Full Idea: Perception is always of something that is, and it is infallible, which suggests that it is knowledge.
     From: Plato (Theaetetus [c.368 BCE], 152c)
Our senses could have been separate, but they converge on one mind [Plato]
     Full Idea: It would be peculiar if each of us were like a Trojan horse, with a whole bunch of senses sitting inside us, rather than that all these perceptions converge onto a single identity (mind, or whatever one ought to call it).
     From: Plato (Theaetetus [c.368 BCE], 184d)
12. Knowledge Sources / C. Rationalism / 1. Rationalism
With what physical faculty do we perceive pairs of opposed abstract qualities? [Plato]
     Full Idea: With what physical faculty do we perceive being and not-being, similarity and dissimilarity, identity and difference, oneness and many, odd and even and other maths, ….fineness and goodness?
     From: Plato (Theaetetus [c.368 BCE], 185d)
You might mistake eleven for twelve in your senses, but not in your mind [Plato]
     Full Idea: Sight or touch might make someone take eleven for twelve, but he could never form this mistaken belief about the contents of his mind.
     From: Plato (Theaetetus [c.368 BCE], 195e)
Thought must grasp being itself before truth becomes possible [Plato]
     Full Idea: If you can't apprehend being you can't apprehend truth, and so a thing could not be known. Therefore knowledge is not located in immediate experience but in thinking about it, since the latter makes it possible to grasp being and truth.
     From: Plato (Theaetetus [c.368 BCE], 186c)
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Extreme empiricists can hardly explain anything [Swoyer]
     Full Idea: Extreme empiricists wind up unable to explain much of anything.
     From: Chris Swoyer (Properties [2000], 2.3)
     A reaction: This seems to be the major problem for empiricism, but I am not sure why inference to the best explanation should not be part of a sensible empirical approach. Thinking laws are just 'descriptions of regularities' illustrates the difficulty.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
An inadequate rational account would still not justify knowledge [Plato]
     Full Idea: If you don't know which letters belong together in the right syllables…it is possible for true belief to be accompanied by a rational account and still not be entitled to the name of knowledge.
     From: Plato (Theaetetus [c.368 BCE], 208b)
     A reaction: In each case of justification there is a 'clinching' stage, for which there is never going to be a strict rule. It might be foundational, but equally it might be massive coherence, or no alternative.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Parts and wholes are either equally knowable or equally unknowable [Plato]
     Full Idea: Either a syllable and its letters are equally knowable and expressible in a rational account, or they are both equally unknowable and inexpressible.
     From: Plato (Theaetetus [c.368 BCE], 205e)
     A reaction: Presumably you could explain the syllable by the letters, but not vice versa, but he must mean that the explanation is worthless without the letters being explained too. So all explanation is worthless?
Without distinguishing marks, how do I know what my beliefs are about? [Plato]
     Full Idea: If I only have beliefs about Theaetetus when I don't know his distinguishing mark, how on earth were my beliefs about you rather than anyone else?
     From: Plato (Theaetetus [c.368 BCE], 209b)
     A reaction: This is a rather intellectualist approach to mental activity. Presumably Theaetetus has lots of distinguishing marks, but they are not conscious. Must Socrates know everything?
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
A rational account might be seeing an image of one's belief, like a reflection in a mirror [Plato]
     Full Idea: A rational account might be forming an image of one's belief, as in a mirror or a pond.
     From: Plato (Theaetetus [c.368 BCE], 206d)
     A reaction: Not promising, since the image is not going to be clearer than the original, or contain any new information. Maybe it would be clarified by being 'framed', instead of drifting in muddle.
A rational account involves giving an image, or analysis, or giving a differentiating mark [Plato]
     Full Idea: A third sort of rational account (after giving an image, or analysing elements) is being able to mention some mark which differentiates the object in question ('the sun is the brightest heavenly body').
     From: Plato (Theaetetus [c.368 BCE], 208c)
     A reaction: This is Plato's clearest statement of what would be involved in adding the necessary logos to your true belief. An image of it, or an analysis, or an individuation. How about a cause?
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Maybe primary elements can be named, but not receive a rational account [Plato]
     Full Idea: Maybe the primary elements of which things are composed are not susceptible to rational accounts. Each of them taken by itself can only be named, but nothing further can be said about it.
     From: Plato (Theaetetus [c.368 BCE], 201e)
     A reaction: This still seems to be more or less the central issue in philosophy - which things should be treated as 'primitive', and which other things are analysed and explained using the primitive tools?
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
A rational account of a wagon would mean knowledge of its hundred parts [Plato]
     Full Idea: In the case of a wagon, we may only have correct belief, but someone who is able to explain what it is by going through its hundred parts has got hold of a rational account.
     From: Plato (Theaetetus [c.368 BCE], 207b)
     A reaction: A wonderful example. In science, you know smoking correlates with cancer, but you only know it when you know the mechanism, the causal structure. This may be a general truth.
13. Knowledge Criteria / D. Scepticism / 5. Dream Scepticism
What evidence can be brought to show whether we are dreaming or not? [Plato]
     Full Idea: What evidence could be brought if we were asked at this very moment whether we are asleep and are dreaming all our thoughts?
     From: Plato (Theaetetus [c.368 BCE], 158b)
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
If you claim that all beliefs are true, that includes beliefs opposed to your own [Plato]
     Full Idea: To say that everyone believes what is the case, is to concede the truth of the oppositions' beliefs; in other words, the person has to concede that he himself is wrong.
     From: Plato (Theaetetus [c.368 BCE], 171a)
How can a relativist form opinions about what will happen in the future? [Plato]
     Full Idea: Does a relativist have any authority to decide about things which will happen in the future?
     From: Plato (Theaetetus [c.368 BCE], 178c)
     A reaction: Nice question! It seems commonsense that such speculations are possible, but without a concept of truth they are ridiculous.
Clearly some people are superior to others when it comes to medicine [Plato]
     Full Idea: In medicine, at least, most people are not self-sufficient at prescribing and effecting cures for themselves, and here some people are superior to others.
     From: Plato (Theaetetus [c.368 BCE], 171e)
18. Thought / C. Content / 8. Intension
Intensions are functions which map possible worlds to sets of things denoted by an expression [Swoyer]
     Full Idea: Intensions are functions that assign a set to the expression at each possible world, ..so the semantic value of 'red' is the function that maps each possible world to the set of things in that world that are red.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I am suddenly deeply alienated from this mathematical logicians' way of talking about what 'red' means! We need more psychology, not less. We call things red if we imagine them as looking red. Is imagination a taboo in analytical philosophy?
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
Research suggests that concepts rely on typical examples [Swoyer]
     Full Idea: Recent empirical work on concepts says that many concepts have graded membership, and stress the importance of phenomena like typicality, prototypes, and exemplars.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: [He cites Rorsch 1978 as the start of this] I say the mind is a database, exactly corresponding to tables, fields etc. Prototypes sound good as the way we identify a given category. Universals are the 'typical' examples labelling areas (e.g. goat).
19. Language / C. Assigning Meanings / 3. Predicates
The F and G of logic cover a huge range of natural language combinations [Swoyer]
     Full Idea: All sorts of combinations of copulas ('is') with verbs, adverbs, adjectives, determiners, common nouns, noun phrases and prepositional phrases go over into the familiar Fs and Gs of standard logical notation.
     From: Chris Swoyer (Properties [2000], 1.2)
     A reaction: This is a nice warning of how misleading logic can be when trying to understand how we think about reality. Montague semantics is an attempt to tackle the problem. Numbers as adjectives are a clear symptom of the difficulties.
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Maybe a proposition is just a property with all its places filled [Swoyer]
     Full Idea: Some say we can think of a proposition as a limiting case of a property, as when the two-place property '___ loves ___' can become the zero-placed property, or proposition 'that Sam loves Darla'.
     From: Chris Swoyer (Properties [2000], 7.6)
     A reaction: If you had a prior commitment to the idea that reality largely consists of bundles of properties, I suppose you might find this tempting.
26. Natural Theory / C. Causation / 3. Final causes
Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]
     Full Idea: In all of nature efficient causes correspond to final causes, because everything proceeds from a cause which is not only powerful, but wise; and with the rule of power through efficient causes, there is involved the rule of wisdom through final causes.
     From: Gottfried Leibniz (Metaphysical conseqs of principle of reason [1712], §5)
     A reaction: Nowadays this carrot-and-stick view of causation is unfashionable, but I won't rule it out. The deepest 'why?' we can ask won't just go away. This unity by a divine mind strikes me as too simple, but Leibniz is right to try to unify Aristotelian causes.
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
If laws are mere regularities, they give no grounds for future prediction [Swoyer]
     Full Idea: If laws were mere regularities, then the fact that observed Fs have been Gs would give us no reason to conclude that those Fs we haven't encountered will also be Gs.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I take this simple point to be very powerful. No amount of regularity gives grounds for asserting future patterns - one only has Humean habits. Causal mechanisms are what we are after.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Two properties can have one power, and one property can have two powers [Swoyer]
     Full Idea: If properties are identical when they confer the same capacities on their instances, different properties seem able to bestow the same powers (e.g. force), and one property can bestow different powers (attraction or repulsion).
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: Interesting, but possibly a misunderstanding. Powers are basic, and properties are combinations of powers. A 'force' isn't a basic power, it is a consequence of various properties. Relational behaviours are also not basic powers, which are the source.
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
God must be the epitome of goodness, and we can only approach a divine state by being as good as possible [Plato]
     Full Idea: It is impossible for God to be immoral and not to be the acme of morality; and the only way any of us can approximate to God is to become as moral as possible.
     From: Plato (Theaetetus [c.368 BCE], 176c)
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There must always be some force of evil ranged against good [Plato]
     Full Idea: The elimination of evil is impossible, Theodorus; there must always be some force ranged against good.
     From: Plato (Theaetetus [c.368 BCE], 176a)