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All the ideas for 'Dissoi Logoi - on Double Arguments', 'On the analysis of moral judgements' and 'Grundlagen (Foundations of Theory of Manifolds)'

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18 ideas

3. Truth / H. Deflationary Truth / 2. Deflationary Truth
True and false statements can use exactly the same words [Anon (Diss)]
     Full Idea: There is no difference between a true statement and a false statement, because they can use exactly the same words.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §4)
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
     Full Idea: Cantor's development of set theory began with his discovery of the progression 0, 1, ....∞, ∞+1, ∞+2, ..∞x2, ∞x3, ...∞^2, ..∞^3, ...∞^∞, ...∞^∞^∞.....
     From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite VIII.2
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
     Full Idea: Ordinal numbers are generated by two principles: each ordinal has an immediate successor, and each unending sequence has an ordinal number as its limit (that is, an ordinal that is next after such a sequence).
     From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite III.4
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Thracians think tattooing adds to a girl's beauty, but elsewhere it is a punishment [Anon (Diss)]
     Full Idea: Thracians think that tattooing enhances a girl's beauty, whereas for everyone else tattooing is a punishment for a crime.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §2)
Anything can be acceptable in some circumstances and unacceptable in others [Anon (Diss)]
     Full Idea: Anything can be acceptable under the right circumstances, and unacceptable under the wrong circumstances.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §2)
Lydians prostitute their daughters to raise a dowery, but no Greek would marry such a girl [Anon (Diss)]
     Full Idea: The Lydians find it acceptable for their daughters to work as prostitutes to raise money for getting married, but no one in Greece would be prepared to marry such a girl.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §2)
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
How could someone who knows everything fail to act correctly? [Anon (Diss)]
     Full Idea: If someone knows the nature of everything, how could he fail to be able also to act correctly in every case?
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §8)
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Some people think there are ethical facts, but of a 'queer' sort [Ayer]
     Full Idea: If someone wishes to say that ethical statements are statements of fact, only it is a queer sort of fact, he is welcome to do so.
     From: A.J. Ayer (On the analysis of moral judgements [1949], p.233)
     A reaction: The word 'queer' was picked up by Mackie and developed into his error theory, that moral facts are a misunderstanding. Personally I think that moral facts might be teleological facts, but that is rather hard to demonstrate.
A right attitude is just an attitude one is prepared to stand by [Ayer]
     Full Idea: Asking whether the attitude that one has adopted is the right attitude comes down to asking whether one is prepared to stand by it.
     From: A.J. Ayer (On the analysis of moral judgements [1949], p.244)
     A reaction: I would have thought that someone who persisted in being ruthlessly selfish might nevertheless distinguish their behaviour from the grudging concession that the 'right' thing to do might be quite different.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Moral theories are all meta-ethical, and are neutral as regards actual conduct [Ayer]
     Full Idea: All moral theories, intuitionist, naturalistic, objectivist, emotive, and the rest, in so far as they are philosophical theories, are neutral as regards actual conduct; they belong to the field of meta-ethics, not ethics proper.
     From: A.J. Ayer (On the analysis of moral judgements [1949])
     A reaction: Interestingly, Ayer doesn't seem willing to accept 'ethics proper' as being 'philosophical'. Given the modern rise of applied ethics, it seems suprising to say that even normative ethics is not philosophical. Utilitarianism seems not to be philosophical.
Moral judgements cannot be the logical consequence of a moral philosophy [Ayer]
     Full Idea: A moral philosopher will have his moral standards and will sometimes make moral judgements, but these moral judgements cannot be a logical consequence of his philosophy.
     From: A.J. Ayer (On the analysis of moral judgements [1949], p.247)
     A reaction: I take this to be an assertion of the is-ought distinction. Personally this strikes me as totally false. Ayer needs to think more deeply about moral philosophy!
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
I would describe intuitions of good as feelings of approval [Ayer]
     Full Idea: I suspect that the experiences which some philosophers want to describe as intuitions, or a quasi-sensory apprehensions, of good are not significantly different from those that I want to describe as feelings of approval.
     From: A.J. Ayer (On the analysis of moral judgements [1949], p.239)
     A reaction: This is the standard ground for rejecting intuitionism, along with the point that even if intuitions are not just feelings of approval, it seems impossible to tell the difference.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Approval of historical or fictional murders gives us leave to imitate them [Ayer]
     Full Idea: In saying that Brutus or Raskolnikov acted rightly, I am giving myself and others leave to imitate them should similar circumstances arise.
     From: A.J. Ayer (On the analysis of moral judgements [1949], p.237)
     A reaction: This seems to be a reply to the Frege-Geach Problem, of why we have emotional attitudes to crimes that mean nothing to us. Such crimes, however, involve our virtues, and don't depend on awaiting 'similar circumstances'.
Moral judgements are not expressions, but are elements in a behaviour pattern [Ayer]
     Full Idea: To say, as I once did, that moral judgements are merely expressive of certain feelings is an oversimplification; ..moral attitudes consist in certain patterns of behaviour, and the expression of a judgement is an element in the pattern.
     From: A.J. Ayer (On the analysis of moral judgements [1949], p.238)
     A reaction: This seems to switch from emotivism to what Frank Jackson calls 'moral functionalism', where morality is what gets us from certain emotional responses to willed actions. This strikes me, like most functional explanations, as wrong.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Every apparent crime can be right in certain circumstances [Anon (Diss), by PG]
     Full Idea: It can be right, in certain circumstances, to steal, to break a solemn promise, to rob temples, and even (as Orestes did) to murder one's nearest and dearest.
     From: report of Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §3) by PG - Db (ideas)
     A reaction: Not sure about the last one! I suppose you can justify any hideousness if the fate of the universe depends on it. It must be better to die than the perform certain extreme deeds.
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
It is right to lie to someone, to get them to take medicine they are reluctant to take [Anon (Diss)]
     Full Idea: It is right to lie to your parents, in order to get them to take a good medicine they are reluctant to take.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §3)
     A reaction: I dread to think what the medicines were which convinced the writer of this. A rule such as this strikes me as dangerous. Justifiable in extreme cases. House on fire etc.
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
The first priority in elections is to vote for people who support democracy [Anon (Diss)]
     Full Idea: A lottery is not democratic, because every state contains people who are not democratic, and if the lottery chooses them they will destroy the democracy. People should elect those who are observed to favour democracy.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §7)
25. Social Practice / E. Policies / 5. Education / c. Teaching
We learn language, and we don't know who teaches us it [Anon (Diss)]
     Full Idea: We learn language, and we don't know who teaches us it.
     From: Anon (Diss) (Dissoi Logoi - on Double Arguments [c.401 BCE], §6)