Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Making Things Happen' and 'Vindication of Religion (extract)'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     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.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     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'.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
An explanation is a causal graph [Woodward,J, by Strevens]
     Full Idea: On Woodward's manipulationist view, an explanation would take the form of a causal graph.
     From: report of James Woodward (Making Things Happen [2003]) by Michael Strevens - No Understanding without Explanation 1
     A reaction: The idea is that causation is all to do with how nature responds when you try to manipulate it. I'm certainly in favour of tying explanation closely to causation.
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Religious experience deserves the same respect as our other key experiences, and is best called 'holy' [Taylor,AE, by PG]
     Full Idea: We respect the religious experience of others in a similar way to our respect for their artistic or sense experiences, and the quality which makes them seem authentic can only be called 'holy'.
     From: report of A.E. Taylor (Vindication of Religion (extract) [1926], III) by PG - Db (ideas)