Combining Texts

All the ideas for 'A Résumé of Metaphysics', 'Concepts and Counting' and 'Fragments'

unexpand these ideas     |    start again     |     specify just one area for these texts


6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
     Full Idea: One requirement for a successful count is that double counting should be avoided: a single object should not be counted twice. ...but that is to make a knowledgeable judgement of distinctness - to resolve a question of identity in the negative.
     From: Ian Rumfitt (Concepts and Counting [2002], III)
     A reaction: He also notes later (p.65) that you must count all and only the right things.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
     Full Idea: We hit trouble if we hear answers to some 'How many?' questions as predications about concepts. The correct answer to 'how many gallons of water are in the tank?' may be 'ten', but that doesn''t mean ten things instantiate 'gallon of water in the tank'.
     From: Ian Rumfitt (Concepts and Counting [2002], I)
     A reaction: Rumfitt makes the point that a huge number of things instantiate that concept in a ten gallon tank of water. No problem, says Rumfitt, because Frege wouldn't have counted that as a statement of number.
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
Intelligent pleasure is the perception of beauty, order and perfection [Leibniz]
     Full Idea: An intelligent being's pleasure is simply the perception of beauty, order and perfection.
     From: Gottfried Leibniz (A Résumé of Metaphysics [1697], §18)
     A reaction: Leibniz seems to have inherited this from the Greeks, especially Pythagoras and Plato. Buried in Leibniz's remark I see the Christian fear of physical pleasure. He should have got out more. Must an intelligent being always be intelligent?
25. Social Practice / E. Policies / 5. Education / d. Study of history
Dividing history books into separate chapters is disastrous [Weil]
     Full Idea: The division of history textbooks into chapters will cost us many disastrous mistakes.
     From: Simone Weil (Fragments [1936], p.131)
     A reaction: Nice observation. The point is that we fail to grasp what really happened if we draw sharp lines across history.
28. God / A. Divine Nature / 3. Divine Perfections
Perfection is simply quantity of reality [Leibniz]
     Full Idea: Perfection is simply quantity of reality.
     From: Gottfried Leibniz (A Résumé of Metaphysics [1697], §11)
     A reaction: An interesting claim, but totally beyond my personal comprehension. I presume he inherited 'quantity of reality' from Plato, e.g. as you move up the Line from shadows to Forms you increase the degree of reality. I see 'real' as all-or-nothing.
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz]
     Full Idea: Evils themselves serve a greater good, and the fact that pains are found in minds is necessary if they are to reach greater pleasures.
     From: Gottfried Leibniz (A Résumé of Metaphysics [1697], §23)
     A reaction: How much pain is needed to qualify for the 'greater pleasures'? Some people receive an awful lot. I am not sure exactly how an evil can 'serve' a greater good. Is he recommending evil?