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17447
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Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
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Full Idea:
In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
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From:
report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
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A reaction:
This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
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16771
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A composite is a true unity if all of its parts fall under one essence [Scheibler]
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Full Idea:
A composite entity is a unum per se if the partial entities that are in it are contained under one common essence. …In water, all those parts are contained under one essence of water.
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From:
Chistoph Scheibler (Metaphysics [1650], I.4.1 n9), quoted by Robert Pasnau - Metaphysical Themes 1274-1671
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A reaction:
Water mixed with wine is said to be an 'ens per accidens'. This is an unusual but possible view, that all the water there is is a single thing, united by its compositional essence. When we talk about 'water', we include possible water, and past water.
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14802
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Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce]
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Full Idea:
The question about minds is whether 1) physical and psychical laws are independent (monism, my neutralism), 2) the psychical laws derived and physical laws primordial (materialism), 3) physical law is derived, psychical law primordial (idealism).
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From:
Charles Sanders Peirce (The Architecture of Theories [1891], p.321)
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A reaction:
I think you are already in trouble when you start proposing that there are two quite distinct sets of laws, and then worry about how they are related. Assume unity, and only separate them when the science forces you to (which it won't).
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