17807
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To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
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Full Idea:
In the study of formal systems we do not confine ourselves to the derivation of elementary propositions step by step. Rather we take the system, defined by its primitive frame, as datum, and then study it by any means at our command.
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From:
Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The formalist')
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A reaction:
This is what may potentially lead to an essentialist view of such things. Focusing on bricks gives formalism, focusing on buildings gives essentialism.
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17806
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It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
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Full Idea:
According to realism, mathematical propositions express the most general properties of our physical environment. This is the primitive view of mathematics, yet on account of the essential role played by infinity in mathematics, it is untenable today.
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From:
Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The problem')
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A reaction:
I resist this view, because Curry's view seems to imply a mad metaphysics. Hilbert resisted the role of the infinite in essential mathematics. If the physical world includes its possibilities, that might do the job. Hellman on structuralism?
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23266
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The spirit in the soul wants freedom, power and honour [Galen]
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Full Idea:
The spirited part of the soul is desiderative of freedom, victory, power, authority, reputation, and honour.
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From:
Galen (The soul's dependence on the body [c.170], Kiv.2.772)
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A reaction:
This is the concept of 'thumos' [spirit], taken straight from Plato's tripartite account of the soul, in 'Republic'. Note that it includes a desire for freedom (in an age of slavery).
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23220
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The brain contains memory and reason, and is the source of sensation and decision [Galen]
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Full Idea:
The brain is the principal organ of the psychical members. For within the brain is seated memory, reason and intellect, and from the brain is distributed the power, sensation and voluntary motion.
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From:
Galen (The soul's dependence on the body [c.170]), quoted by Matthew Cobb - The Idea of the Brain 1
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A reaction:
[not sure of ref] Interesting that he assigns the whole of mind to the brain, and not just some aspect of it. He had done experiments. Understanding the role of the brain was amazingly slow. Impeded by religion, I guess.
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23265
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The rational part of the soul is the desire for truth, understanding and recollection [Galen]
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Full Idea:
That part of the soul which we call rational is desiderative: …it desires truth, knowledge, learning, understanding, and recollection - in short, all the good things.
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From:
Galen (The soul's dependence on the body [c.170], Kiv.2.772)
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A reaction:
Truth is no surprise, but recollection is. Note the separation of knowledge from understanding. This is a very good characterisation of rationality. For the Greeks it has a moral dimension, of wanting what is good.
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7453
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Galen's medicine followed the mean; each illness was balanced by opposite treatment [Galen, by Hacking]
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Full Idea:
Galen ran medicine on the principle of the mean; afflictions must be treated by contraries; hot diseases deserve cold medicine and moist illnesses want drying agents. (Paracelsus rebelled, treating through similarity).
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From:
report of Galen (On Medical Experience [c.169]) by Ian Hacking - The Emergence of Probability Ch.5
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A reaction:
This must be inherited from Aristotle, with the aim of virtue for the body, as Aristotle wanted virtue for the psuché. In some areas Galen is probably right, that natural balance is the aim, as in bodily temperature control.
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6030
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Each part of the soul has its virtue - pleasure for appetite, success for competition, and rectitude for reason [Galen]
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Full Idea:
We have by nature these three appropriate relationships, corresponding to each form of the soul's parts - to pleasure because of the appetitive part, to success because of the competitive part, and to rectitude because of the rational part.
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From:
Galen (On Hippocrates and Plato [c.170], 5.5.8)
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A reaction:
This is a nice combination of Plato's tripartite theory of soul (in 'Republic') and Aristotle's derivation of virtues from functions. Presumably, though, reason should master the other two, and there is nothing in Galen's idea to explain this.
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23268
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We execute irredeemable people, to protect ourselves, as a deterrent, and ending a bad life [Galen]
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Full Idea:
We kill the irredeemably wicked, for three reasons: that they may no longer harm us; as a deterrent to others like them; and because it is actually better from their own point of view to die, when their souls are so damaged they cannot be improved.
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From:
Galen (The soul's dependence on the body [c.170], Kiv.11.816)
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A reaction:
The third one sounds like a dubious rationalisation, given that the prisoner probably disagrees. Nowadays we are not so quick to judge someone as irredeemable. The first one works when they run wild, but not after their capture.
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16697
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Time is independent of motion, because God could stop everything for a short or long time [Crathorn, by Pasnau]
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Full Idea:
Suppose God annihilates everything, and then creates something new. The vacant interval could last a shorter or longer time, so there are facts about time independent of facts about motion.
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From:
report of William Crathorn (Sentences [1335], I.16, concl.2) by Robert Pasnau - Metaphysical Themes 1274-1671 18.2
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A reaction:
Not very persuasive if God is in some way 'timeless'. Crathorn would have loved Shoemaker's argument, where motionless time is the best explanation, rather than a possible explanation.
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