Combining Texts

All the ideas for 'Dissoi Logoi - on Double Arguments', 'On Freedom' and 'Proof that every set can be well-ordered'

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14 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)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity
Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]
     Full Idea: Zermelo realised that the Axiom of Choice (based on arbitrary functions) could be used to 'count', in the Cantorian sense, those collections that had given Cantor so much trouble, which restored a certain unity to set theory.
     From: report of Ernst Zermelo (Proof that every set can be well-ordered [1904]) by Shaughan Lavine - Understanding the Infinite I
10. Modality / B. Possibility / 5. Contingency
Necessary truths can be analysed into original truths; contingent truths are infinitely analysable [Leibniz]
     Full Idea: Derivative truths are of two sorts: some are analysed into original truths, others admit of an infinite process of analysis. The former are necessary, the latter are contingent.
     From: Gottfried Leibniz (On Freedom [1689], p.108)
     A reaction: An intriguing proposal. Hume would presumably see contingent truths as being analysed until you reach 'impressions'. Analysis of necessary truths soon comes to the blinding light of what is obvious, but analysis of contingency never gets there.
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
Only God sees contingent truths a priori [Leibniz]
     Full Idea: Only God sees contingent truths a priori.
     From: Gottfried Leibniz (On Freedom [1689], p.95)
     A reaction: This because everything is interconnected, and the whole picture must be seen to understand a contingent truth.
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
If non-existents are possible, their existence would replace what now exists, which cannot therefore be necessary [Leibniz]
     Full Idea: If certain possibles never exist, then existing things are not always necessary; otherwise it would be impossible for other things to exist instead of them, and so all things that never exist would be impossible.
     From: Gottfried Leibniz (On Freedom [1689], p.106)
     A reaction: A neat argument, though it is not self-evident that when possibles came into existence they would have to replace what is already there. Can't something be possible, but only in another world, because this one is already booked?
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
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)
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)
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 / 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)
28. God / A. Divine Nature / 3. Divine Perfections
God does everything in a perfect way, and never acts contrary to reason [Leibniz]
     Full Idea: We can regard it as certain that everything is done by God in the most perfect way, that he does nothing which is contrary to reason.
     From: Gottfried Leibniz (On Freedom [1689], p.109)
     A reaction: The famous optimism which Voltaire laughed at in 'Candide'. I can't help thinking that there is an ideal of God being ABOVE reason. We reason, and give reasons, because we are unsure, and life is a struggle. The highest ideal is mystically self-evident.