Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Phil Applications of Cognitive Science' and 'The Law of Peoples'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Children may have three innate principles which enable them to learn to count [Goldman]
     Full Idea: It has been proposed (on the basis of observations) that young children have three innate principles of counting - one-to-one correspondence of number to item, stable order for numbers, and cardinality (which labels the nth item counted).
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.60)
     A reaction: I like the idea of observed patterns as central (which is the one-to-one principle). But the other two principles are plausible, and show why pure empiricism won't work.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Rat behaviour reveals a considerable ability to count [Goldman]
     Full Idea: Rats can determine the number of times they have pressed a lever up to at least twenty-four presses,…and can consistently turn down the fifth tunnel on the left in a maze.
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.58)
     A reaction: This seems to encourage an empirical view of maths (pattern recognition?) rather than a Platonic one. Or numbers are innate in rat brains?
7. Existence / E. Categories / 2. Categorisation
Infant brains appear to have inbuilt ontological categories [Goldman]
     Full Idea: Infant behaviour implies inbuilt ontological categories of thing, place, event, path, action, sound, manner, amount and number. ...There is an algebra of relationships between them.
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.109)
     A reaction: Interesting. We would expect the categories in infant brains to have instrumental value, but we don't have to accept them as true. Adults (even Aristotle) are big infants.
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
     Full Idea: For individuation, substance needs three properties: independence, to separate it from other things; unity, to call it one thing, rather than an aggregate; and permanence or stability over time. Its other role is as subject for predicates.
     From: Franklin Perkins (Leibniz: Guide for the Perplexed [2007], 3.1)
     A reaction: Perkins is describing the Aristotelian view, which is taken up by Leibniz. 'Substance' is not a controversial idea, if we see that it only means that the world is full of 'things'. It is an unusual philosopher wholly totally denies that.
12. Knowledge Sources / B. Perception / 3. Representation
Elephants can be correctly identified from as few as three primitive shapes [Goldman]
     Full Idea: An elephant may be fully represented by nine primitive shapes ('geons'), but it may require as few as three geons in appropriate relations to be correctly identified.
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.7)
     A reaction: Encouraging the idea of the mind as a maker of maps and models
12. Knowledge Sources / B. Perception / 5. Interpretation
The way in which colour experiences are evoked is physically odd and unpredictable [Goldman]
     Full Idea: A unique yellow experience may be evoked with monochrome light of 580nm, or a mixture of 540nm and 670nm. ..Our interpretation of colour experience is a highly idiosyncratic artefact of our visual system.
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.117)
     A reaction: This confirms what I have always thought - that colour (as qualia) is strictly a feature of minds, not of the world.
12. Knowledge Sources / D. Empiricism / 2. Associationism
Gestalt psychology proposes inbuilt proximity, similarity, smoothness and closure principles [Goldman]
     Full Idea: Gestalt psychology claims that there are at least four unlearned factors in perceptual grouping - the principles of proximity (close things), of similarity, of good continuation (extending lines in a smooth course), and closure (which completes figures).
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.103)
     A reaction: This offers a bridge between Hume's associationism and rationalist claims of innate ideas
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Rawls rejected cosmopolitanism because it doesn't respect the autonomy of 'peoples' [Rawls, by Shorten]
     Full Idea: Rawls rejected the cosmopolitan extension of his theory because he thought it failed to respect the political autonomy of 'peoples', which was his term of art for societies or political communities.
     From: report of John Rawls (The Law of Peoples [1999], p.115-8) by Andrew Shorten - Contemporary Political Theory 09
     A reaction: Interesting that you might well start with the concept of 'a people', prior to some sort of social contract, but end up with rather alarming conflicts or indifference between rival peoples. Why should my people help in the famine next door?