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8920
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Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
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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'.
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From:
Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
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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
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16061
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If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
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Full Idea:
Logical supervenience, restricted to individuals, seems to imply strong reduction. It is said that where the B-facts logically supervene on the A-facts, the B-facts simply re-describe what the A-facts describe, and the B-facts come along 'for free'.
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From:
Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C)
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A reaction:
This seems to be taking 'logically' to mean 'analytically'. Presumably an entailment is logically supervenient on its premisses, and may therefore be very revealing, even if some people think such things are analytic.
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7127
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If men are good you should keep promises, but they aren't, so you needn't [Machiavelli]
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Full Idea:
If all men were good, promising-breaking would not be good, but because they are bad and do not keep their promises to you, you likewise do not have to keep yours to them.
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From:
Niccolo Machiavelli (The Prince [1513], Ch.18)
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A reaction:
A rather depressing proposal to get your promise-breaking in first, based on the pessimistic view that people cannot be improved. The subsequent history of ethics in Europe showed Machiavelli to be wrong. Gentlemen began to keep their word.
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6308
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A sensible conqueror does all his harmful deeds immediately, because people soon forget [Machiavelli]
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Full Idea:
A prudent conqueror makes a list of all the harmful deeds he must do, and does them all at once, so that he need not repeat them every day, which then makes men feel secure, and gains their support by treating them well.
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From:
Niccolo Machiavelli (The Prince [1513], Ch.8)
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A reaction:
This might work for a new government in a democracy, or a new boss in a business. It sounds horribly true; dreadful deeds done a long time ago can be completely forgotten, as when reformed criminals become celebrities.
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6307
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A desire to conquer, and men who do it, are always praised, or not blamed [Machiavelli]
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Full Idea:
It is very natural and normal to wish to conquer, and when men do it who can, they always will be praised, or not blamed.
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From:
Niccolo Machiavelli (The Prince [1513], Ch.3)
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A reaction:
This view seems shocking to us, but it seems to me that this was a widely held view up until the time of Nietzsche, but came to a swift end with the invention of the machine gun in about 1885, followed by the heavy bomber and atomic bomb.
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19813
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All legislators invoke God in support of extraordinary laws, because their justification is not obvious [Machiavelli]
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Full Idea:
There has never been a single legislator who, in proposing extraordinary laws, did not have recourse to God, for otherwise they would not be accepted, since many benefits known to a prudent man do not have evident persuasive reasons.
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From:
Niccolo Machiavelli (The Discourses [1520], 1.11), quoted by Jean-Jacques Rousseau - The Social Contract (tr Cress) II.7 n8
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A reaction:
It does seem to be an important role for God and state religion, to give support to decisions and laws which might not be intrinsically popular.
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7126
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Rulers should preserve the foundations of religion, to ensure good behaviour and unity [Machiavelli]
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Full Idea:
It is the duty of the rulers of a republic or a kingdom to preserve the foundations of the religion they hold; if they do this, it will be an easy thing for them to keep their state religious, and consequently good and united.
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From:
Niccolo Machiavelli (The Discourses [1520], I.12)
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A reaction:
This is the germ of Marx's view, that the sole role of religion is political, as a tool used by the ruling classes to keep the populace in their place. The same idea can be found in Critias (Idea 542). But what is wrong with some central moral guidance?
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