13416
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Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]
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Full Idea:
The axiomatic conception of mathematics is the only viable one. ...But they are true because they are axioms, in contrast to the view advanced by Frege (to Hilbert) that to be a candidate for axiomhood a statement must be true.
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From:
report of William W. Tait (Intro to 'Provenance of Pure Reason' [2005], p.4) by Charles Parsons - Review of Tait 'Provenance of Pure Reason' §2
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A reaction:
This looks like the classic twentieth century shift in the attitude to axioms. The Greek idea is that they must be self-evident truths, but the Tait-style view is that they are just the first steps in establishing a logical structure. I prefer the Greeks.
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6237
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Fear of God is not conscience, which is a natural feeling of offence at bad behaviour [Shaftesbury]
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Full Idea:
Conscience is to find horribly offensive the reflection of any unjust action or behaviour; to have awe and terror of the Deity, does not, of itself, imply conscience; …thus religious conscience supposes moral or natural conscience.
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From:
3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], II.II.I)
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A reaction:
The reply from religion would be that the Deity has implanted natural conscience in each creature, though this seems to deny our freedom of moral judgment. Personally I am inclined to think that values are just observations of the world - such as health.
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6234
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If an irrational creature with kind feelings was suddenly given reason, its reason would approve of kind feelings [Shaftesbury]
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Full Idea:
If a creature wanting reason has many good qualities and affections, it is certain that if you give this creature a reflecting faculty, it will at the same instant approve of gratitude, kindness and pity.
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From:
3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], I.III.III)
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A reaction:
A wonderful denunciation of the authority of reason, which must have influenced David Hume. I think, though, that the inverse of this case must be considered (if suddenly given feelings, they would fall in line with reasoning). We reason about feelings.
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6233
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A person isn't good if only tying their hands prevents their mischief, so the affections decide a person's morality [Shaftesbury]
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Full Idea:
We do not say that he is a good man when, having his hands tied up, he is hindered from doing the mischief he designs; …hence it is by affection merely that a creature is esteemed good or ill, natural or unnatural.
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From:
3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], I.II.I)
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A reaction:
Note that he more or less equates being morally 'ill' with being 'unnatural'. We tend to reserve 'unnatural' for extreme or perverse crimes. Personally I would place more emphasis on evil judgements, and less on evil feelings.
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6235
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Self-interest is not intrinsically good, but its absence is evil, as public good needs it [Shaftesbury]
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Full Idea:
Though no creature can be called good merely for possessing the self-preserving affections, it is impossible that public good can be preserved without them; so that a creature wanting in them is wanting in natural rectitude, and may be esteemed vicious.
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From:
3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], II.I.III)
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A reaction:
Aristotle held a similar view (Idea 92). I think maybe Shaftesbury was the last call of the Aristotelians, before being engulfed by utilitarians and Kantians. This idea is at the core of capitalism.
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21334
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No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill]
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Full Idea:
If a Creator is assumed to be omnipotent, if he bends to a supposed necessity, he himself makes the necessity which he bends to. If the maker of the world can all that he will, he wills misery, and there is no escape from the conclusion.
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From:
John Stuart Mill (Nature and Utility of Religion [1874], p.119)
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A reaction:
If you add that the Creator is supposed to be perfectly benevolent, you arrive at the paradox which Mackie spells out. Is the correct conclusion that God exists, and is malevolent? Mill doesn't take that option seriously.
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21328
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Killing is a human crime, but nature kills everyone, and often with great tortures [Mill]
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Full Idea:
Killing, the most criminal act recognised by human laws, nature does once to every being that lives, and frequently after protracted tortures such as the greatest know monsters purposely inflicted on their living fellow creatures
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From:
John Stuart Mill (Nature and Utility of Religion [1874], p.115)
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A reaction:
We certainly don't condemn lions for savaging gazelles, but the concept of a supreme mind controlling nature forces the question. Theology needs consistency between human and divine morality, and the supposed derivation of the former from the latter.
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21331
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Hurricanes, locusts, floods and blight can starve a million people to death [Mill]
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Full Idea:
Nature often takes the means by which we live. A single hurricane, a flight of locusts, or an inundation, or a trifling chemical change in an edible root, starve a million people.
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From:
John Stuart Mill (Nature and Utility of Religion [1874], p.116)
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A reaction:
[second sentence compressed] The 'edible root' is an obvious reference to the Irish potato famine. Some desertification had human causes, but these are telling examples.
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