Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'On the Senses' and 'Address to the Voters of Bristol'

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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'.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
How can we state relativism of sweet and sour, if they have no determinate nature? [Theophrastus]
     Full Idea: How could what is bitter for us be sweet and sour for others, if there is not some determinate nature for them?
     From: Theophrastus (On the Senses [c.321 BCE], 70)
     A reaction: The remark is aimed at Democritus. This is part of the general question of how you can even talk about relativism, without attaching stable meanings to the concepts employed.
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Your representative owes you his judgement, and betrays you if he gives your opinion instead [Burke]
     Full Idea: Your representative owes you, not his industry only, but his judgement; and he betrays instead of serving you if he sacrifices it to your opinion
     From: Edmund Burke (Address to the Voters of Bristol [1774]), quoted by Adam Swift - Political Philosophy (3rd ed)
     A reaction: Nice rhetoric, but I'm not sure about the logic of it. Do I betray you if I give my stupid judgement rather than your wise one? Am I so arrogant as to think my judgement is always preferable? His audience was entirely of property owners.