17612
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Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
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Full Idea:
I regard the whole of arithmetic as a necessary, or at least natural, consequence of the simplest arithmetic act, that of counting, and counting itself is nothing else than the successive creation of the infinite series of positive integers.
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From:
Richard Dedekind (Continuity and Irrational Numbers [1872], §1)
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A reaction:
Thus counting roots arithmetic in the world, the successor operation is the essence of counting, and the Dedekind-Peano axioms are built around successors, and give the essence of arithmetic. Unfashionable now, but I love it. Intransitive counting?
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23304
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The ancient Memorists said virtually all types of thinking could be done simply by memory [Sorabji]
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Full Idea:
The ancient medical Memorists said that ordinary thinking, inferring, reflecting, believing, assuming, examining, generalising and knowing can all be done simply on the basis of memory.
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From:
Richard Sorabji (Rationality [1996], 'Inference')
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A reaction:
The think there is a plausible theory that all neurons do is remember, and are mainly distinguished by the duration of their memories. We might explain these modes of thinking in terms of various combinations of the fast and the slow.
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23303
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Stoics say true memory needs reflection and assent, but animals only have perceptual recognition [Sorabji]
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Full Idea:
Stoics say memory proper involves reflection and assent. Animal memory, by contrast, is not memory proper, but mere perceptual recognition. The horse remembers the road when he is on it, but not when he is in the stable.
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From:
Richard Sorabji (Rationality [1996], 'Other')
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A reaction:
An interesting distinction. Do I remember something if I can never recall it, and yet recognise it when it reappears, such as a person I knew long ago? 'Memory' is ambiguous, between lodged in the mind, and recallable. Unfair to horses, this.
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7903
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The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
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Full Idea:
The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
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From:
Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
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A reaction:
What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
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