Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Schopenhauer' and 'The Poetics'

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5 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'.
10. Modality / B. Possibility / 1. Possibility
The actual must be possible, because it occurred [Aristotle]
     Full Idea: Actual events are evidently possible, otherwise they would not have occurred.
     From: Aristotle (The Poetics [c.347 BCE], 1451b18)
     A reaction: [quoted online by Peter Adamson] Seems like common sense, but it's important to have Aristotle assert it.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Fichte, Schelling and Hegel rejected transcendental idealism [Lewis,PB]
     Full Idea: Fichte, Schelling and Hegel were united in their opposition to Kant's Transcendental Idealism.
     From: Peter B. Lewis (Schopenhauer [2012], 3)
     A reaction: That is, they preferred genuine idealism, to the mere idealist attitude Kant felt that we are forced to adopt.
Fichte, Hegel and Schelling developed versions of Absolute Idealism [Lewis,PB]
     Full Idea: At the University of Jena, Fichte, Hegel and Schelling critically developed aspects of Kant's philosophy, each in his own way, thereby giving rise to the movement known as Absolute Idealism, see reality as universal God-like self-consciousness.
     From: Peter B. Lewis (Schopenhauer [2012], 2)
     A reaction: Is asking how anyone can possibly have believed such a bizarre and ridiculous idea a) uneducated, b) stupid, c) unimaginative, or d) very sensible? It sounds awfully like Spinoza's concept of God. Also Anaxagoras.
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Poetry is more philosophic than history, as it concerns universals, not particulars [Aristotle]
     Full Idea: Poetry is something more philosophic and of graver import than history, since its statements are rather of universals, whereas those of history are singulars.
     From: Aristotle (The Poetics [c.347 BCE], 1451b05)
     A reaction: Hm. Characters in great novels achieve universality by being representated very particularly. Great depth of mind seems required to be a poet, but less so for a historian (though there is, I presume, no upward limit on the possible level of thought).