14 ideas
1564 | 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) |
9915 | V = L just says all sets are constructible [Putnam] |
Full Idea: V = L just says all sets are constructible. L is the class of all constructible sets, and V is the universe of all sets. | |
From: Hilary Putnam (Models and Reality [1977], p.425) |
13655 | The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro] |
Full Idea: Putnam claims that the Löwenheim-Skolem theorems indicate that there is no 'fact of the matter' whether all sets are constructible. | |
From: report of Hilary Putnam (Models and Reality [1977]) by Stewart Shapiro - Foundations without Foundationalism | |
A reaction: [He refers to the 4th and 5th pages of Putnam's article] Shapiro offers (p.109) a critique of Putnam's proposal. |
9913 | The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam] |
Full Idea: The Löwenheim-Skolem Theorem says that a satisfiable first-order theory (in a countable language) has a countable model. ..I argue that this is not a logical antinomy, but close to one in philosophy of language. | |
From: Hilary Putnam (Models and Reality [1977], p.421) | |
A reaction: See the rest of this paper for where he takes us on this. |
9914 | It is unfashionable, but most mathematical intuitions come from nature [Putnam] |
Full Idea: Experience with nature is undoubtedly the source of our most basic 'mathematical intuitions', even if it is unfashionable to say so. | |
From: Hilary Putnam (Models and Reality [1977], p.424) | |
A reaction: Correct. I find it quite bewildering how Frege has managed to so discredit all empirical and psychological approaches to mathematics that it has become a heresy to say such things. |
16655 | Different genera are delimited by modes of predication, which rest on modes of being [Aquinas] |
Full Idea: Being is delimited into different genera in accord with different modes of predicating, which depend on different modes of being. | |
From: Thomas Aquinas (On Aristotle's 'Metaphysics' [1266], V.9.890), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 12.3 | |
A reaction: I like this. When people say that predication is the way we divide things up, and go all linguistic-relativist about things, they forget how closely language not only describes reality, but arises out of, or is even caused by, reality. 'Grue' is silly. |
1560 | 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) |
1559 | 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) |
1561 | 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) |
1567 | 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) |
1563 | 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. |
1562 | 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. |
1566 | 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) |
1565 | 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) |