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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5952
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Rather than being the whole soul, maybe I am its chief part? [Plutarch]
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Full Idea:
Is each of us not the soul, but the chief part of the soul, by which we think and reason and act, all the other parts of soul as well as of body being mere instruments of its power?
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From:
Plutarch (74: Reply to Colotes [c.85], §1119)
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A reaction:
Socrates is associated with the idea that I am my whole soul (Idea 1650). Plutarch represents an interesting development, which may lead both to the Christian 'soul' and to the Cartesian 'ego'. I think Plutarch is right, but what is the 'soul'?
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5951
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If atoms have no qualities, they cannot possibly produce a mind [Plutarch]
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Full Idea:
Perception, mind, intelligence and thought cannot so much as be conceived, even with the best will, as arising among void and atoms, things which taken separately have no quality.
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From:
Plutarch (74: Reply to Colotes [c.85], §1112)
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A reaction:
A nice articulation of the intuition of all anti-physicalists. Plutarch would have to rethink his position carefully if he learned of the sheer number of connections in the brain, and of the theory of natural selection. His challenge remains, though.
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5948
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The good life involves social participation, loyalty, temperance and honesty [Plutarch]
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Full Idea:
To live the good life is to live a life of participation in society, of loyalty to friends, of temperance and honest dealing.
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From:
Plutarch (74: Reply to Colotes [c.85], §1108)
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A reaction:
'Participation in society' is the interesting one. This might translate as 'doing your duty', or as 'leading a well-rounded life'. Solitude is wrong if you are indebted to others, and it is unhealthy if you are not. Is solitude really immoral, though?
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21798
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To universalise 'give everything to the poor' leads to absurdity [Hegel]
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Full Idea:
If everyone gave everything to the poor, then soon there would be no more poor to give anything to, or no more persons who would have anything to give.
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From:
Georg W.F.Hegel (Lectures on the Philosophy of Religion [1827], III: 152), quoted by Stephen Houlgate - An Introduction to Hegel 10 'Faith'
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A reaction:
Matthew 5:8, 19:21. Beautifully clear. [I always believed that I had thought of this idea - but not so]. If the logic is that it is better to be poor than to be rich, then the implication is that all excess wealth should be thrown into the sea.
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5955
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No one will ever find a city that lacks religious practices [Plutarch]
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Full Idea:
A city without holy places and gods, without any observance of prayers, oaths, oracles, sacrifices for blessings received or rites to avert evils, no traveller has ever seen or will ever see.
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From:
Plutarch (74: Reply to Colotes [c.85], §1125)
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A reaction:
The nearest you might get would be Soviet Moscow, but in 1973 I saw a man there jeering at a woman who was kneeling in the street outside a closed church. Plutarch would be stunned at the decline in religious practices in modern Europe.
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21797
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Immortality does not come at a later time, but when pure knowing Spirit fully grasps the universal [Hegel]
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Full Idea:
The immortality of the soul must not be imagined as though it first emerges into actuality at some later time; rather it is a present quality. ...As pure knowing or as thinking, Spirit has the universal for its object - this is eternity.
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From:
Georg W.F.Hegel (Lectures on the Philosophy of Religion [1827], III: 208), quoted by Stephen Houlgate - An Introduction to Hegel 10 'Death'
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A reaction:
An unusual view of immortality, which challenges orthodoxy. The idea seems to be that 'pure knowing' is a grasping of the pure reason which embodies nature, which in turn is the nature of God. You enter eternity, rather than reside in it?
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