Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Adverbial Theory' and 'Letters to Oldenburg'

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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'.
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Are sense-data independent, with identity, substance and location? [Tye]
     Full Idea: Can sense-data exist unsensed? Can two persons experience numerically identical sense-data? Do sense-data have surfaces which are not sensed? What are sense-data made of? Are they located?
     From: Michael Tye (Adverbial Theory [1995], p.7)
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
Whether nature is beautiful or orderly is entirely in relation to human imagination [Spinoza]
     Full Idea: I do not attribute to nature either beauty or deformity, order or confusion. Only in relation to our imagination can things be called beautiful or deformed, ordered or confused.
     From: Baruch de Spinoza (Letters to Oldenburg [1665], 1665?)
     A reaction: This is clearly a statement of Hume's famous later opinion that there are no values ('ought') in nature ('is'). It is a rejection of Aristotelian and Greek teleology. It is hard to argue with, but I have strong sales resistance, rooted in virtue theory.
28. God / A. Divine Nature / 3. Divine Perfections
God is a being with infinite attributes, each of them infinite or perfect [Spinoza]
     Full Idea: I define God as a being consisting in infinite attributes, whereof each is infinite or supremely perfect.
     From: Baruch de Spinoza (Letters to Oldenburg [1665], 1661)
     A reaction: This seems to me the glorious culmination of the hyperbolic conception of God that expands steadily from wood spirits through Zeus, to eventually mop up everything in nature, and then everything that can be imagined beyond nature. All very silly.
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
Trying to prove God's existence through miracles is proving the obscure by the more obscure [Spinoza]
     Full Idea: Those who endeavour to establish God's existence and the truth of religion by means of miracles seek to prove the obscure by what is more obscure.
     From: Baruch de Spinoza (Letters to Oldenburg [1665], 1675?)
     A reaction: Nicely put. On the whole this has to be right, but one must leave open a possibility. If there is a God, and He seeks to prove Himself by a deed, are we saying this is impossible? Divine intervention might be the best explanation of something.