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All the ideas for 'The Discourses', 'Frege philosophy of mathematics' and 'Aboutness'

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81 ideas

1. Philosophy / A. Wisdom / 2. Wise People
A wise philosophers uses reason to cautiously judge each aspect of living [Epictetus]
     Full Idea: The sinews of a philosopher are desire that never fails in its achievement; aversion that never meets with what it would avoid; appropriate impulse; carefully considered purpose; and assent that is never precipitate.
     From: Epictetus (The Discourses [c.56], 2.08.29)
     A reaction: This is a very individual view of wisdom and the philosopher, whereas wisdom is often thought to have a social role. Is it not important for a philosopher to at least offer advice?
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
The task of philosophy is to establish standards, as occurs with weights and measures [Epictetus]
     Full Idea: Things are judged and weighed, when we have the standards ready. This is the task of philosophy: to examine and establish the standards.
     From: Epictetus (The Discourses [c.56], 2.11.24)
     A reaction: It is interesting that this gives philosophers a very specific social role, and also that it seems to identify epistemology as First Philosophy. Other disciplines, of course, establish their own standards without reference to philosophy.
Philosophy is knowing each logos, how they fit together, and what follows from them [Epictetus]
     Full Idea: [Philosophical speculation] consists in knowing the elements of 'logos', what each of them is like, how they fit together, and what follows from them.
     From: Epictetus (The Discourses [c.56], 4.08.14), quoted by A.A. Long - Hellenistic Philosophy 4.1
     A reaction: [Said to echo Zeno] If you substitute understanding for 'logos' (plausibly), I think this is exactly the view of philosophy I would subscribe to. We want to understand each aspect of life, and we want those understandings to cohere with one another.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy investigates the causes of disagreements, and seeks a standard for settling them [Epictetus]
     Full Idea: The start of philosophy is perception of the mutual conflict among people, and a search for its cause, plus the rejection and distrust of mere opinion, an investigation to see if opinion is right, and the discovery of some canon, like scales for weighing.
     From: Epictetus (The Discourses [c.56], 2.11.13)
     A reaction: So the number one aim of philosophy is epistemological, to find the criterion for true opinion. But it starts in real life, and would cease to trade if people would just agree. I think we should set the bar higher than that.
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Reason itself must be compounded from some of our impressions [Epictetus]
     Full Idea: What is reason itself? Something compounded from impressions of a certain kind.
     From: Epictetus (The Discourses [c.56], 1.20.05)
     A reaction: This seems to be the only escape from the dead end attempts to rationally justify reason. Making reason a primitive absolute is crazy metaphysics.
2. Reason / A. Nature of Reason / 9. Limits of Reason
Because reason performs all analysis, we should analyse reason - but how? [Epictetus]
     Full Idea: Since it is reason that analyses and completes all other things, reason itself should not be left unanalysed. But by what shall it be analysed? ..That is why philosophers put logic first, just as when measuring grain we first examine the measure.
     From: Epictetus (The Discourses [c.56], 1.17.01)
     A reaction: The problem of the definitive metre rule in Paris. I say we have to test reason against the physical world, and the measure of reason is truth. Something has to be primitive, but reason is too vague for that role. Idea 23344 agrees with me!
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
     Full Idea: The standard sense of a 'contextual definition' permits the eliminating of the defined expression, by transforming any sentence containing it into an equivalent one not containing it.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.11)
     A reaction: So the whole definition might be eliminated by a single word, which is not equivalent to the target word, which is embedded in the original expression. Clearly contextual definitions have some problems
3. Truth / A. Truth Problems / 5. Truth Bearers
A statement S is 'partly true' if it has some wholly true parts [Yablo]
     Full Idea: A statement S is 'partly true' insofar as it has wholly true parts: wholly true implications whose subject matter is included in that of S.
     From: Stephen Yablo (Aboutness [2014], 01.6)
     A reaction: He suggests that if we have rival theories, we agree that it is one or the other. And 'we may have pork for dinner, or human flesh' is partly true.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
An 'enthymeme' is an argument with an indispensable unstated assumption [Yablo]
     Full Idea: An 'enthymeme' is a deductive argument with an unstated assumption that must be true for the premises to lead to the conclusion.
     From: Stephen Yablo (Aboutness [2014], 11.1)
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
y is only a proper part of x if there is a z which 'makes up the difference' between them [Yablo]
     Full Idea: The principle of Supplementation says that y is properly part of x, only if a z exists that 'makes up the difference' between them. [note: that is, z is disjoint from y and sums with y to form x]
     From: Stephen Yablo (Aboutness [2014], 03.2)
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
     Full Idea: For sentential or first-order logic, the logical truths are represented by valid formulas; in higher-order logics, by sentences formulated in purely logical terms.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 3)
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
'Pegasus doesn't exist' is false without Pegasus, yet the absence of Pegasus is its truthmaker [Yablo]
     Full Idea: 'Pegasus does not exist' has a paradoxical, self-undermining flavour. On the one hand, the empty name makes it untrue. But now, why is the name empty? Because Pegasus does not exist. 'Pegasus does not exist' is untrue because Pegasus does not exist.
     From: Stephen Yablo (Aboutness [2014], 05.7 n20)
     A reaction: Beautiful! This is Yablo's reward for continuing to ask 'why?' after everyone else has stopped in bewilderment at the tricky phenomenon.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
     Full Idea: A prime number is one which is measured by a unit alone.
     From: Michael Dummett (Frege philosophy of mathematics [1991], 7 Def 11)
     A reaction: We might say that the only way of 'reaching' or 'constructing' a prime is by incrementing by one till you reach it. That seems a pretty good definition. 64, for example, can be reached by a large number of different routes.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
     Full Idea: It is essential to a quantitative domain of any kind that there should be an operation of adding its elements; that this is more fundamental thaat that they should be linearly ordered by magnitude is apparent from cyclic domains like that of angles.
     From: Michael Dummett (Frege philosophy of mathematics [1991], 22 'Quantit')
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
     Full Idea: A number is a multitude composed of units.
     From: Michael Dummett (Frege philosophy of mathematics [1991], 7 Def 2)
     A reaction: This is outdated by the assumption that 0 and 1 are also numbers, but if we say one is really just the 'unit' which is preliminary to numbers, and 0 is as bogus a number as i is, we might stick with the original Greek distinction.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
     Full Idea: A child understands 'there are just as many nuts as apples' as easily by pairing them off as by counting them.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: I find it very intriguing that you could know that two sets have the same number, without knowing any numbers. Is it like knowing two foreigners spoke the same words, without understanding them? Or is 'equinumerous' conceptually prior to 'number'?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
     Full Idea: The identity of a mathematical object may sometimes be fixed by its relation to what lies outside the structure to which it belongs. It is more fundamental to '3' that if certain objects are counted, there are three of them.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 5)
     A reaction: This strikes me as Dummett being pushed (by his dislike of the purely abstract picture given by structuralism) back to a rather empiricist and physical view of numbers, though he would totally deny that.
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
     Full Idea: The number 0 is not differentiated from 1 by its position in a progression, otherwise there would be no difference between starting with 0 and starting with 1. That is enough to show that numbers are not identifiable just as positions in structures.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 5)
     A reaction: This sounds conclusive, but doesn't feel right. If numbers are a structure, then where you 'start' seems unimportant. Where do you 'start' in St Paul's Cathedral? Starting sounds like a constructivist concept for number theory.
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
A nominalist can assert statements about mathematical objects, as being partly true [Yablo]
     Full Idea: If I am a nominalist non-Platonist, I think it is false that 'there are primes over 10', but I want to be able to say it like everyone else. I argue that this because the statement has a part that I do believe, a part that remains interestingly true.
     From: Stephen Yablo (Aboutness [2014], 05.8)
     A reaction: This is obviously a key motivation for Yablo's book, as it reinforces his fictional view of abstract objects, but aims to capture the phenomena, by investigating what such sentences are 'about'. Admirable.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
     Full Idea: The two frequent modern objects to logicism are that set theory is not part of logic, or that it is of no interest to 'reduce' a mathematical theory to another, more complex, one.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: Dummett says these are irrelevant (see context). The first one seems a good objection. The second one less so, because whether something is 'complex' is a quite different issue from whether it is ontologically more fundamental.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
     Full Idea: The distinction between concrete and abstract objects, or Frege's corresponding distinction between actual and non-actual objects, is not a sharp dichotomy, but resembles a scale upon which objects occupy a range of positions.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: This might seem right if you live (as Dummett chooses to) in the fog of language, but it surely can't be right if you think about reality. Is the Equator supposed to be near the middle of his scale? Either there is an equator, or there isn't.
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
     Full Idea: Fully fledged realism depends on - indeed, may be identified with - an undiluted application to sentences of the relevant kind of straightforwards two-valued semantics.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: This is the sort of account you get from a whole-heartedly linguistic philosopher. Personally I would say that Dummett has got it precisely the wrong way round: I adopt a two-valued semantics because my metaphysics is realist.
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
     Full Idea: The nominalist superstition is based ultimately on the myth of the unmediated presentation of genuine concrete objects to the mind.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: Personally I am inclined to favour nominalism and a representative theory of perception, which acknowledges some 'mediation', but of a non-linguistic form. Any good theory here had better include animals, which seem to form concepts.
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
     Full Idea: The existence of abstract objects is a pseudo-problem.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: This remark follows after Idea 9884, which says the abstract/concrete distinction is a sliding scale. Personally I take the distinction to be fairly sharp, and it is therefore probably the single most important problem in the whole of human thought.
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
     Full Idea: Objects which are objective but not actual are precisely what are now called abstract objects.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: Why can there not be subjective abstract objects? 'My favourites are x, y and z'. 'I'll decide later what my favourites are'. 'I only buy my favourites - nothing else'.
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
     Full Idea: If someone argued that assuming the existence of the Equator explains nothing, and it has no causal powers, so everything would be the same if it didn't exist, so we needn't accept its existence, we should gape at the crudity of the misunderstanding.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: Not me. I would gape if someone argued that latitude 55° 14' (and an infinity of other lines) exists for the same reasons (whatever they may be) that the Equator exists. A mode of description can't create an object.
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
     Full Idea: 'We've crossed the Equator' is judged true if we are nearer the other Pole, so it not for philosophers to deny that the Earth has an equator, and we see that the Equator is not a concept or relation or function, so it must be classified as an object.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: A lovely example of linguistic philosophy in action (and so much the worse for that, I would say). A useful label here, I suggest (unoriginally, I think), is that we should label such an item a 'semantic object', rather than a real object in our ontology.
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
     Full Idea: To recognise that there is no objection in principle to abstract objects requires acknowledgement that some form of the context principle is correct, since abstract objects can neither be encountered nor presented.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.16)
     A reaction: I take this to be an immensely important idea. I consider myself to be a philosopher of thought rather than a philosopher of language (Dummett's distinction, he being one of the latter). Thought connects to the world, but does it connect to abstracta?
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Parthood lacks the restriction of kind which most relations have [Yablo]
     Full Idea: Most relations obtain only between certain kinds of thing. To learn that x is a part of y, however, tells you nothing about x and y taken individually.
     From: Stephen Yablo (Aboutness [2014], 03.2)
     A reaction: Too sweeping. To be a part of crowd you have to be a person. To be part of the sea you have to be wet. It might depend on whether composition is unrestricted.
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
     Full Idea: Husserl says the only ground for assuming the replaceability of one content by another is their identity; we are therefore not entitled to define their identity as consisting in their replaceability.
     From: report of Michael Dummett (Frege philosophy of mathematics [1991]) by Michael Dummett - Frege philosophy of mathematics Ch.12
     A reaction: This is a direct challenge to Frege. Tricky to arbitrate, as it is an issue of conceptual priority. My intuition is with Husserl, but maybe the two are just benignly inerdefinable.
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
     Full Idea: In his middle period Frege rated identity indefinable, on the ground that every definition must take the form of an identity-statement. Frege introduced the notion of criterion of identity, which has been widely used by analytical philosophers.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.10)
     A reaction: The objection that attempts to define identity would be circular sounds quite plausible. It sounds right to seek a criterion for type-identity (in shared properties or predicates), but token-identity looks too fundamental to give clear criteria.
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
We can't believe apparent falsehoods, or deny apparent truths [Epictetus]
     Full Idea: It is impossible to assent to an apparent falsehood, or to deny an apparent truth.
     From: Epictetus (The Discourses [c.56], 3.07.15)
     A reaction: The way some philosophers write you would think that most beliefs just result from private whims or social fashion. That happens, of course, but most beliefs result from direct contact with reality.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is most obvious when people who deny a proposition still have to use it [Epictetus]
     Full Idea: It is about the strongest proof one could offer of a proposition being evident, that even he who contradicts it finds himself having to make use of it.
     From: Epictetus (The Discourses [c.56], 2.20.01)
     A reaction: Philosophers sometimes make fools of themselves by trying, by the use of elaborate sophistry, to demolish propositions which are self-evidently true. Don't be one of these philosophers!
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
Gettier says you don't know if you are confused about how it is true [Yablo]
     Full Idea: We know from Gettier that if you are right to regard Q as true, but you are sufficiently confused about HOW it is true - about how things stand with respect to its subject matter - then you don't know that Q.
     From: Stephen Yablo (Aboutness [2014], 07.4)
     A reaction: I'm inclined to approach Gettier by focusing on the propositions being expressed, where his cases tend to focus on the literal wording of the sentences. What did the utterer mean by the sentences - not what did they appear to say.
14. Science / B. Scientific Theories / 2. Aim of Science
A theory need not be true to be good; it should just be true about its physical aspects [Yablo]
     Full Idea: A physical theory need not be true to be good, Field has argued, and I agree. All we ask of it truth-wise is that its physical implications should be true, or, in my version, that it should be true about the physical.
     From: Stephen Yablo (Aboutness [2014], 12.5)
     A reaction: Yablo is, of course, writing a book here about the concept of 'about'. This seems persuasive. The internal terminology of the theory isn't committed to anything - it is only at its physical periphery (Quine) that the ontology matters.
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
If sentences point to different evidence, they must have different subject-matter [Yablo]
     Full Idea: 'All crows are black' cannot say quite the same as 'All non-black things are non-crows', for the two are confirmed by different evidence. Subject matter looks to be the distinguishing feature. One is about crows, the other not.
     From: Stephen Yablo (Aboutness [2014], Intro)
     A reaction: You might reply that they are confirmed by the same evidence (but only in its unobtainable totality). The point, I think, is that the sentences invite you to start your search in different places.
Most people say nonblack nonravens do confirm 'all ravens are black', but only a tiny bit [Yablo]
     Full Idea: The standard response to the raven paradox is to say that a nonblack nonraven does confirm that all ravens are black. But it confirms it just the teeniest little bit - not as much as a black raven does.
     From: Stephen Yablo (Aboutness [2014], 06.5)
     A reaction: It depends on the proportion between the relevant items. How do you confirm 'all the large animals in this zoo are mammals'? Check for size every animal which is obviously not a mammal?
16. Persons / F. Free Will / 1. Nature of Free Will
We make progress when we improve and naturalise our choices, asserting their freedom [Epictetus]
     Full Idea: Progress is when any of you turns to his own faculty of choice, working at it and perfecting it, so as to bring it fully into harmony with nature; elevated, free, unrestrained, unhindered, faithful, self-respecting.
     From: Epictetus (The Discourses [c.56], 1.04.18)
     A reaction: [See also Disc.3.5.7] Rationality is the stoic concept of being in 'harmony with nature'. It appears (from reading Frede) that this may be the FIRST EVER reference to free will. Note the very rhetorical way in which it is presented.
Freedom is acting by choice, with no constraint possible [Epictetus]
     Full Idea: He is free for whom all things happen in accordance with his choice, and whom no one can constrain.
     From: Epictetus (The Discourses [c.56], 1.12.09)
     A reaction: Presumable this means that constraint is absolutely impossible, even by Zeus, and not just contingent possibility, when no one sees me raid the fridge.
Freedom is making all things happen by choice, without constraint [Epictetus]
     Full Idea: He is free for whom all things happen in accordance with his choice, and whom no one can constrain.
     From: Epictetus (The Discourses [c.56], 1.12.09)
     A reaction: The idea of 'free' will seems to have resulted from a wide extension of the idea of constraint, with global determinism lurking in the background.
16. Persons / F. Free Will / 2. Sources of Free Will
Zeus gave me a nature which is free (like himself) from all compulsion [Epictetus]
     Full Idea: Zeus placed my good nature in my own power, and gave it to me as he has it himself, free from all hindrance, compulsion and restraint.
     From: Epictetus (The Discourses [c.56], 3.03.10)
     A reaction: Although Frede traces the origin of free will to the centrality of choice in moral life (and hence to the elevation of its importance), this remark shows that there is a religious aspect to it. Zeus is supreme, and obviously has free will.
16. Persons / F. Free Will / 3. Constraints on the will
Not even Zeus can control what I choose [Epictetus]
     Full Idea: You can fetter my leg, but not even Zeus himself can get the better of my choice.
     From: Epictetus (The Discourses [c.56], 1.01.23)
     A reaction: This is the beginnings of the idea of free will. It is based on the accurate observation that the intrinsic privacy of a mind means that no external force can be assured of controlling its actions. Epictetus failed to think of internal forces.
16. Persons / F. Free Will / 4. For Free Will
You can fetter my leg, but not even Zeus can control my power of choice [Epictetus]
     Full Idea: What are you saying, man? Fetter me? You will fetter my leg; but not even Zeus himself can get the better of my choice.
     From: Epictetus (The Discourses [c.56], 1.01.23)
     A reaction: This seems to be the beginning of the idea of 'absolute' freedom, which is conjured up to preserve perfect inegrity and complete responsibility. Obviously you can be prevented from doing what you choose, so this is not compatibilism.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If we could foresee the future, we should collaborate with disease and death [Epictetus]
     Full Idea: The philosophers are right to say that if the honorable and good person knew what was going to happen, he would even collaborate with disease, death and lameness.
     From: Epictetus (The Discourses [c.56], 2.10.05)
     A reaction: The 'philosophers' must be the earlier stoics, founders of his school.
16. Persons / F. Free Will / 6. Determinism / b. Fate
If I know I am fated to be ill, I should want to be ill [Epictetus]
     Full Idea: If I really knew that it was ordained for me to be ill at this moment, I would aspire to be so.
     From: Epictetus (The Discourses [c.56], 2.06.10)
     A reaction: The rub, of course, is that it is presumably impossible to know what is fated. Book 2.7 is on divination. I don't see any good in a mortally ill person desiring, for that reason alone, to die. Rage against the dying of the light, I say.
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
     Full Idea: One powerful argument for a thesis that one notion is conceptually prior to another is the possibility of defining the first without reference to the second.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: You'd better check whether you can't also define the second without reference to the first before you rank their priority. And maybe 'conceptual priority' is conceptually prior to 'definition' (i.e. definition needs a knowledge of priority). Help!
An argument for conceptual priority is greater simplicity in explanation [Dummett]
     Full Idea: An argument for conceptual priority is greater simplicity in explanation.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: One might still have to decide priority between two equally simple (or complex) concepts. I begin to wonder whether 'priority' has any other than an instrumental meaning (according to which direction you wish to travel - is London before Edinburgh?).
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
     Full Idea: To recognise abstract terms as perfectly proper items of a vocabulary depends upon allowing that all that is necessary for the lawful introduction of a range of expressions into the language is a coherent account of how they are to function in sentences.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.16)
     A reaction: Why can't the 'coherent account' of the sentences include the fact that there must be something there for the terms to refer to? How else are we to eliminate nonsense words which obey good syntactical rules? Cf. Idea 9872.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
     Full Idea: Dummett uses the term 'logical abstraction' for the construction of the abstract objects as equivalence classes, but it is not clear why we should call this construction 'logical'.
     From: report of Michael Dummett (Frege philosophy of mathematics [1991]) by William W. Tait - Frege versus Cantor and Dedekind n 14
     A reaction: This is a good objection, and Tait offers a much better notion of 'logical abstraction' (as involving preconditions for successful inference), in Idea 9981.
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
     Full Idea: We arrive at the concept of suicide by considering both occurrences in the sentence 'Cato killed Cato' of the proper name 'Cato' as simultaneously replaceable by another name, say 'Brutus', and so apprehending the pattern common to both sentences.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.14)
     A reaction: This is intended to illustrate Frege's 'logical abstraction' technique, as opposed to wicked psychological abstraction. The concept of suicide is the pattern 'x killed x'. This is a crucial example if we are to understand abstraction...
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
     Full Idea: To get units by abstraction, units arrived at by abstraction from forks must the identical to that abstracted from spoons, with no trace of individuality. But if spoons can no longer be differentiated from forks, they can't differ from one another either.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 8)
     A reaction: [compressed] Dummett makes the point better than Frege did. Can we 'think of a fork insofar as it is countable, ignoring its other features'? What are we left thinking of? Frege says it must still be the whole fork. 'Nice fork, apart from the colour'.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Sentence-meaning is the truth-conditions - plus factors responsible for them [Yablo]
     Full Idea: A sentence's meaning is to do with its truth-value in various possible scenarios, AND the factors responsible for that truth-value.
     From: Stephen Yablo (Aboutness [2014], Intro)
     A reaction: The thesis of his book, which I welcome. I'm increasingly struck by the way in which much modern philosophy settles for a theory being complete, when actually further explanation is possible. Exhibit A is functional explanations. Why that function?
19. Language / C. Assigning Meanings / 4. Compositionality
The content of an assertion can be quite different from compositional content [Yablo]
     Full Idea: Assertive content - what a sentence is heard as saying - can be at quite a distance from compositional content.
     From: Stephen Yablo (Aboutness [2014], Intro)
     A reaction: This is the obvious reason why semantics cannot be entirely compositional, since there is nearly always a contextual component which then has to be added. In the case of irony, the compositional content is entirely reversed.
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
     Full Idea: A Fregean semantics assumes a domain already determinately articulated into individual objects.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 8)
     A reaction: A more interesting criticism than most of Dummett's other challenges to the Frege/Davidson view. I am beginning to doubt whether the semantics and the ontology can ever be divorced from the psychology, of thought, interests, focus etc.
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth-conditions as subject-matter has problems of relevance, short cut, and reversal [Yablo]
     Full Idea: If the subject-matter of S is how it is true, we get three unfortunate results: S has truth-value in worlds where its subject-matter draws a blank; learning what S is about tells you its truth-value; negating S changes what it's about.
     From: Stephen Yablo (Aboutness [2014], 02.8)
     A reaction: Together these make fairly devastating objections to the truth-conditions (in possible worlds) theory of meaning. The first-objection concerns when S is false
19. Language / F. Communication / 3. Denial
Not-A is too strong to just erase an improper assertion, because it actually reverses A [Yablo]
     Full Idea: The idea that negation is, or can be, a cancellation device raises an interesting question. What does one do to wipe the slate clean after an improper assertion? Not-A is too strong; it reverses our stand on A rather than nullifying it.
     From: Stephen Yablo (Aboutness [2014], 09.8)
     A reaction: [He is discussing a remark of Strawson 1952] It seems that 'not' has two meanings or uses: a weak use of 'nullifying' an assertion, and a strong use of 'reversing' an assertion. One could do both: 'that's not right; in fact, it's just the opposite'.
20. Action / C. Motives for Action / 4. Responsibility for Actions
Epictetus developed a notion of will as the source of our responsibility [Epictetus, by Frede,M]
     Full Idea: The notion of will in Epictetus is clearly developed to pinpoint the source of our responsibility for our actions and to identify precisely what it is that makes them our own doings.
     From: report of Epictetus (The Discourses [c.56]) by Michael Frede - A Free Will 3
     A reaction: So the key move is that responsibility needs a 'source', rather than being a generalisation about how our actions arise. The next step is demand an 'ultimate' source, and this leads to the idea that this new will is 'free'. This will can be good or bad.
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Tragedies are versified sufferings of people impressed by externals [Epictetus]
     Full Idea: Tragedies are nothing but the sufferings of people who are impressed by externals, performed in the right sort of meter.
     From: Epictetus (The Discourses [c.56], 1.04.26)
     A reaction: The externals are things like honour, position and wealth. Wonderfully dismissive!
Homer wrote to show that the most blessed men can be ruined by poor judgement [Epictetus]
     Full Idea: Did not Homer write to show us that the noblest, the strongest, the richest, the handsomest of men may nevertheless be the most unfortunate and wretched, if they do not hold the judgements that they ought to hold?
     From: Epictetus (The Discourses [c.56], 4.10.36)
     A reaction: This seems to be right. He clearly wrote about the greatest and most memorable events of recent times, but not just to record triumphs, because almost every hero (in the Iliad, at least) ends in disaster.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We consist of animal bodies and god-like reason [Epictetus]
     Full Idea: We have these two elements mingled within us, a body in common with the animals, and reason and intelligence in common with the gods.
     From: Epictetus (The Discourses [c.56], 1.03.03)
     A reaction: This is what I call Human Exceptionalism, but note that it doesn't invoke a Christian soul or spiritual aspect. This separation of reason goes back at least to Plato. High time we stopped thinking this way. Animals behave very sensibly.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Every species produces exceptional beings, and we must just accept their nature [Epictetus]
     Full Idea: In every species nature produces some exceptional being, in oxen, in dogs, in bees, in horses. We do not say to them 'Who are you?' It will tell you 'I am like the purple in the robe. Do not expect me to be like the rest, or find fault with my nature'.
     From: Epictetus (The Discourses [c.56], 3.01.23)
     A reaction: This idea began with Aristotle's 'great soul', and presumably culminates in Nietzsche, who fills in more detail. In the modern world such people are mostly nothing but trouble.
22. Metaethics / B. Value / 2. Values / e. Death
I will die as becomes a person returning what he does not own [Epictetus]
     Full Idea: When the time comes, then I will die - as becomes a person who gives back what is not his own.
     From: Epictetus (The Discourses [c.56], 1.01.32)
     A reaction: There is a tension between his demand that he have full control of his choices, and this humility that says his actual life is not his own. The things which can't be controlled, though, are 'indifferents' so life and death are indifferent.
Don't be frightened of pain or death; only be frightened of fearing them [Epictetus]
     Full Idea: It is not pain or death that is to be feared, but the fear of pain or death.
     From: Epictetus (The Discourses [c.56], 2.01.13)
     A reaction: These two cases are quite different, I would say. I'm much more frightened of pain than I am of the fear of pain, and the opposite view seems absurd. About death, though, I think this is right. Mostly I'm with Spinoza: think about life, not death.
22. Metaethics / B. Value / 2. Values / g. Love
Knowledge of what is good leads to love; only the wise, who distinguish good from evil, can love [Epictetus]
     Full Idea: Whoever has knowledge of good things would know how to love them; and how could he who cannot distinguish good things from evil still have to power to love? It follows that the wise man alone has the power to love.
     From: Epictetus (The Discourses [c.56], 2.22.03)
     A reaction: A rather heartwarming remark, but hard to assess for its truth. Evil people are unable to love? Not even love a cat, or their favourite car? We would never call someone wise if they lacked love.
22. Metaethics / B. Value / 2. Values / j. Evil
The evil for everything is what is contrary to its nature [Epictetus]
     Full Idea: Where is the paradox if we say that what is evil for everything is what is contrary to its nature?
     From: Epictetus (The Discourses [c.56], 4.01.125)
     A reaction: A very Greek view. For humans, it must rely on the belief that human nature is essentially good. If I am sometimes grumpy and annoying, why is that not part of my nature?
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The essences of good and evil are in dispositions to choose [Epictetus]
     Full Idea: The essence of the good is a certain disposition of our choice, and essence of evil likewise.
     From: Epictetus (The Discourses [c.56], 1.29.01)
     A reaction: This is the origin of Kant's famous view, that the only true good is a good will. This is the alternative to good character or good states of affairs as the good. It points towards the modern more legalistic view of morality, as concerning actions.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
All human ills result from failure to apply preconceptions to particular cases [Epictetus]
     Full Idea: The cause of all human ills is that people are incapable of applying their general preconceptions to particular cases.
     From: Epictetus (The Discourses [c.56], 4.01.42)
     A reaction: I'm not sure whether 'preconceptions' is meant pejoratively (as unthinking, and opposed to true principles). This sounds like modern particularism (e.g. Jonathan Dancy) to the letter.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / a. Natural virtue
We have a natural sense of honour [Epictetus]
     Full Idea: What faculty do you mean? - Have we not a natural sense of honour? - We have.
     From: Epictetus (The Discourses [c.56], 2.10.22)
     A reaction: This seems unlikely, given the lower status that honour now has with us, compared to two hundred years ago. But there may be a natural sense of status, and of humiliation and shame.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
If someone harms themselves in harming me, then I harm myself by returning the harm [Epictetus]
     Full Idea: Since he has harmed himself by wronging me, shall not I harm myself by harming him?
     From: Epictetus (The Discourses [c.56], 2.10.26)
     A reaction: I am very keen on this idea. See Hamlet's remarks to Polonius about 'honour and dignity'. The best strategy for achieving moral excellence is to focus on our own characters, rather than how to act, and to respond to others.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
In the Discourses choice [prohairesis] defines our character and behaviour [Epictetus, by Frede,M]
     Full Idea: In Epictetus's 'Discourses' the notion of choice [prohairesis] plays perhaps the central role. It is our prohairesis which defines us a person, as the sort of person we are; it is our prohairesis which determines how we behave.
     From: report of Epictetus (The Discourses [c.56]) by Michael Frede - A Free Will 3
     A reaction: Frede is charting the gradual move in Greek philosophy from action by desire, reason and habit to action by the will (which then turns out to be 'free'). Character started as dispositions and ended as choices.
23. Ethics / C. Virtue Theory / 4. External Goods / b. Health
Health is only a good when it is used well [Epictetus]
     Full Idea: Is health a good and sickness an evil? No. Health is good when used well, and bad when used ill.
     From: Epictetus (The Discourses [c.56], 3.20.04)
     A reaction: Although I like the idea that health is a natural value, which bridges the gap from facts to values (as a successful function), there is no denying that the health of very evil people is not something the rest of us hope for.
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
A person is as naturally a part of a city as a foot is part of the body [Epictetus]
     Full Idea: Just as the foot in detachment is no longer a foot, so you in detachment are not longer a man. For what is a man? A part of a city, first.
     From: Epictetus (The Discourses [c.56], 2.05.26)
     A reaction: It is, of course, not true that a detached foot ceases to be a foot (and an isolated human is still a human). This an extreme version of the Aristotelian idea that we are essentially social. It is, though, the sort of view favoured by totalitarianism.
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
We are citizens of the universe, and principal parts of it [Epictetus]
     Full Idea: You are a citizen of the universe, and a part of it; and no subservient, but a principal part of it.
     From: Epictetus (The Discourses [c.56], 2.10.03)
     A reaction: He got this view from Diogenes of Sinope, one of his heroes. What community you are a part of seems to be a choice as much as a fact. Am I British or a European?
24. Political Theory / B. Nature of a State / 4. Citizenship
A citizen is committed to ignore private advantage, and seek communal good [Epictetus]
     Full Idea: The commitment of the citizen is to have no private advantage, not to deliberate about anything as though one were a separate part.
     From: Epictetus (The Discourses [c.56], 2.10.04)
     A reaction: This is the modern problem of whether democratic voters are choosing for themselves or for the community. I think we should make an active effort at every election to persuade voters to aim for the communal good. Cf Rawls.
A citizen should only consider what is good for the whole society [Epictetus]
     Full Idea: The calling of a citizen is to consider nothing in terms of personal advantage, never to deliberate on anything as though detached from the whole, but be like our hand or foot.
     From: Epictetus (The Discourses [c.56], 2.10.04)
     A reaction: Fat chance of that in an aggressively capitalist society. I've always voted for what I thought was the common good, and was shocked to gradually realise that many people only vote for what promotes their own interests. Heigh ho.
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Punishing a criminal for moral ignorance is the same as punishing someone for being blind [Epictetus]
     Full Idea: You should ask 'Ought not this man to be put to death, who is deceived in things of the greatest importance, and is blinded in distinguishing good from evil?' …You then see how inhuman it is, and the same as 'Ought not this blind man to be put to death?'
     From: Epictetus (The Discourses [c.56], 1.18.6-7)
     A reaction: This is the doctrine of Socrates, that evil is ignorance (and weakness of will [akrasia] is impossible). Epictetus wants us to reason with the man, but what should be do if reasoning fails and he persists in his crimes?
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
Asses are born to carry human burdens, not as ends in themselves [Epictetus]
     Full Idea: An ass is surely not born as an end in itself? No, but because we had need of a back that is able to carry burdens.
     From: Epictetus (The Discourses [c.56], 2.08.07)
     A reaction: This is the absurd human exceptionalism which plagues our thinking. It would be somewhat true of animals which are specifically bred for human work, such as large cart horses.
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
     Full Idea: By what right do we assume that the limit of measurement is a point, and not an interval?
     From: Michael Dummett (Frege philosophy of mathematics [1991], 22 'Quantit')
28. God / A. Divine Nature / 2. Divine Nature
God created humans as spectators and interpreters of God's works [Epictetus]
     Full Idea: God has introduced man into the world as a spectator of himself and of his works: and not only as a spectator of them, but an interpreter of them as well.
     From: Epictetus (The Discourses [c.56], 1.06.19)
     A reaction: This idea (which strikes me as bizarre) was picked up directly by the Christians. I can't imagine every Johnson wanting to creating their own Boswell. If you think we are divinely created, you have to propose some motive for it, I suppose.
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Both god and the good bring benefits, so their true nature seems to be the same [Epictetus]
     Full Idea: God brings benefits; but the good also brings benefit. It would seem, then, that where the true nature of god is, there too is the true nature of good.
     From: Epictetus (The Discourses [c.56], 2.08.01)
     A reaction: An enthymeme, missing the premise that there can only be one source of benefit (which sounds unlikely). Does god bring anything other than benefits? And does the good? I think this is an idea from later platonism.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Each of the four elements in you is entirely scattered after death [Epictetus]
     Full Idea: Whatever was in you of fire, departs into fire; what was of earth, into earth; what of air, into air; what of water, into water. There is no Hades, nor Acheron.
     From: Epictetus (The Discourses [c.56], 3.13.15)
     A reaction: This sort of remark may explain why so few of the great Stoic texts (such as those of Chrysippus) survived the Christian era.