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All the ideas for 'Theaetetus', 'A Future for Presentism' and 'Set Theory and related topics (2nd ed)'

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48 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 / B. Laws of Thought / 2. Sufficient Reason
Is Sufficient Reason self-refuting (no reason to accept it!), or is it a legitimate explanatory tool? [Bourne]
     Full Idea: Mackie (1983) dismisses the Principle of Sufficient Reason quickly, arguing that it is self-refuting: there is no sufficient reason to accept it. However, a principle is not invalidated by not applying to itself; it can be a powerful heuristic tool.
     From: Craig Bourne (A Future for Presentism [2006], 6.VI)
     A reaction: If God was entirely rational, and created everything, that would be a sufficient reason to accept the principle. You would never, though, get to the reason why God was entirely rational. Something will always elude the principle.
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'.
3. Truth / H. Deflationary Truth / 1. Redundant Truth
The redundancy theory conflates metalinguistic bivalence with object-language excluded middle [Bourne]
     Full Idea: The problem with the redundancy theory of truth is that it conflates the metalinguistic notion of bivalence with a theorem of the object language, namely the law of excluded middle.
     From: Craig Bourne (A Future for Presentism [2006], 3.III Pr3)
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
     Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
     From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
     A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part
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)
8. Modes of Existence / A. Relations / 1. Nature of Relations
All relations between spatio-temporal objects are either spatio-temporal, or causal [Bourne]
     Full Idea: If there are any genuine relations at all between spatio-temporal objects, then they are all either spatio-temporal or causal.
     From: Craig Bourne (A Future for Presentism [2006], 3.III Pr4)
     A reaction: This sounds too easy, but I have wracked my brains for counterexamples and failed to find any. How about qualitative relations?
It is a necessary condition for the existence of relations that both of the relata exist [Bourne]
     Full Idea: It is widely held, and I think correctly so, that a necessary condition for the existence of relations is that both of the relata exist.
     From: Craig Bourne (A Future for Presentism [2006], 3.III Pr4)
     A reaction: This is either trivial or false. Relations in the actual world self-evidently relate components of it. But I seem able to revere Sherlock Holmes, and speculate about relations between possible entities.
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.
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)
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)
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
The idea of simultaneity in Special Relativity is full of verificationist assumptions [Bourne]
     Full Idea: Special Relativity, with its definition of simultaneity, is shot through with verificationist assumptions.
     From: Craig Bourne (A Future for Presentism [2006], 6.IIc)
     A reaction: [He credits Sklar with this] I love hearing such points made, because all my instincts have rebelled against Einstein's story, even after I have been repeatedly told how stupid I am, and how I should study more maths etc.
Relativity denies simultaneity, so it needs past, present and future (unlike Presentism) [Bourne]
     Full Idea: Special Relativity denies absolute simultaneity, and therefore requires a past and a future, as well as a present. The Presentist, however, only requires the present.
     From: Craig Bourne (A Future for Presentism [2006], 6.VII)
     A reaction: It is nice to accuse Relativity of ontological extravagence. When it 'requires' past and future, that may not be a massive commitment, since the whole theory is fairly operationalist, according to Putnam.
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Special Relativity allows an absolute past, future, elsewhere and simultaneity [Bourne]
     Full Idea: There is in special relativity a notion of 'absolute past', and of 'absolute future', and of 'absolute elsewhere', and of 'absolute simultaneity' (of events occurring at their space-time conjunction).
     From: Craig Bourne (A Future for Presentism [2006], 5.III)
     A reaction: [My summary of his paragraph] I am inclined to agree with Bourne that there is enough here to build some sort of notion of 'present' that will support the doctrine of Presentism.
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
No-Futurists believe in past and present, but not future, and say the world grows as facts increase [Bourne]
     Full Idea: 'No-Futurists' believe in the real existence of the past and present but not the future, and hold that the world grows as more and more facts come into existence.
     From: Craig Bourne (A Future for Presentism [2006], 6.IIb)
     A reaction: [He cites Broad 1923 and Tooley 1997] My sympathies are with Presentism, but there seems not denying that past events fix truths in a way that future events don't. The unchangeability of past events seems to make them factual.
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
How can presentists talk of 'earlier than', and distinguish past from future? [Bourne]
     Full Idea: Presentists have a difficulty with how they can help themselves to the notion of 'earlier than' without having to invoke real relata, and how presentism can distinguish the past from the future.
     From: Craig Bourne (A Future for Presentism [2006], 2.IV)
     A reaction: The obvious response is to infer the past from the present (fossils), and infer the future from the present (ticking bomb). But what is it that is being inferred, if the past and future are denied a priori? Tricky!
Presentism seems to deny causation, because the cause and the effect can never coexist [Bourne]
     Full Idea: It seems that presentism cannot accommodate causation at all. In a true instance of 'c causes e', it seems to follow that both c and e exist, and it is widely accepted that c is earlier than e. But for presentists that means c and e can't coexist.
     From: Craig Bourne (A Future for Presentism [2006], 4)
     A reaction: A nice problem. Obviously if the flying ball smashed the window, we are left with only the effect existing - otherwise we could intercept the ball and prevent the disaster. To say this cause and this effect coexist would be even dafter than the problem.
Since presentists treat the presentness of events as basic, simultaneity should be define by that means [Bourne]
     Full Idea: Since for presentism there is an ontologically significant and basic sense in which events are present, we should expect a definition of simultaneity in terms of presentness, rather than the other way round.
     From: Craig Bourne (A Future for Presentism [2006], 6.IV)
     A reaction: Love it. I don't see how you can even articulate questions about simultaneity if you don't already have a notion of presentness. What are the relata you are enquiring about?
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
Time is tensed or tenseless; the latter says all times and objects are real, and there is no passage of time [Bourne]
     Full Idea: Theories of time are in two broad categories, the tenseless and the tensed theories. In tenseless theories, all times are equally real, as are all objects located at them, and there is no passage of time from future to present to past. It's the B-series.
     From: Craig Bourne (A Future for Presentism [2006], Intro IIa)
     A reaction: It might solve a few of the problems, but is highly counterintuitive. Presumably it makes the passage of time an illusion, and gives no account of how events 'happen', or of their direction, and it leaves causation out on a limb. I'm afraid not.
B-series objects relate to each other; A-series objects relate to the present [Bourne]
     Full Idea: Objects in the B-series are earlier than, later than, or simultaneous with each other, whereas objects in the A-series are earlier than, later than or simultaneous with the present.
     From: Craig Bourne (A Future for Presentism [2006], Intro IIb)
     A reaction: Must we choose? Two past events relate to each other, but there is a further relation when 'now' falls between the events. If I must choose, I suppose I go for the A-series view. The B-series is a subsequent feat of imagination. McTaggart agreed.
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
Time flows, past is fixed, future is open, future is feared but not past, we remember past, we plan future [Bourne]
     Full Idea: We say that time 'flows', that the past is 'fixed' but the future is 'open'; we only dread the future, but not the past; we remember the past but not the future; we plan for the future but not the past.
     From: Craig Bourne (A Future for Presentism [2006], Intro III)
     A reaction: These seem pretty overwhelming reasons for accepting an asymmetry between the past and the future. If you reject that, you seem to be mired in a multitude of contradictions. Your error theory is going to be massive.
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)