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All the ideas for 'Frege's Theory of Numbers', 'works' and 'The Discourses'

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4 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'.
25. Social Practice / E. Policies / 2. Religion in Society
All legislators invoke God in support of extraordinary laws, because their justification is not obvious [Machiavelli]
     Full Idea: There has never been a single legislator who, in proposing extraordinary laws, did not have recourse to God, for otherwise they would not be accepted, since many benefits known to a prudent man do not have evident persuasive reasons.
     From: Niccolo Machiavelli (The Discourses [1520], 1.11), quoted by Jean-Jacques Rousseau - The Social Contract (tr Cress) II.7 n8
     A reaction: It does seem to be an important role for God and state religion, to give support to decisions and laws which might not be intrinsically popular.
Rulers should preserve the foundations of religion, to ensure good behaviour and unity [Machiavelli]
     Full Idea: It is the duty of the rulers of a republic or a kingdom to preserve the foundations of the religion they hold; if they do this, it will be an easy thing for them to keep their state religious, and consequently good and united.
     From: Niccolo Machiavelli (The Discourses [1520], I.12)
     A reaction: This is the germ of Marx's view, that the sole role of religion is political, as a tool used by the ruling classes to keep the populace in their place. The same idea can be found in Critias (Idea 542). But what is wrong with some central moral guidance?
Only when working people are poor do they remain obedient to God [Calvin, by Weber]
     Full Idea: Calvin made the much-quoted statement that only when the people, i.e. the mass of labourers and craftsmen, were poor did they remain obedient to God.
     From: report of Jean Calvin (works [1549]) by Max Weber - The Protestant Ethic and the Spirit of Capitalism 5
     A reaction: This is only one aspect of Christian influence. The alternative is John Wesley's exhortation to work diligently, live modestly, save, invest and get rich. Most people want a comfortable intermediate state, but who proclaims that?