Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Phil Applications of Cognitive Science' and 'Transworld Identity or worldbound Individuals?'

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14 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.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Asserting a possible property is to say it would have had the property if that world had been actual [Plantinga]
     Full Idea: To say than x has a property in a possible world is simply to say that x would have had the property if that world had been actual.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], I)
     A reaction: Plantinga tries to defuse all the problems with identity across possible worlds, by hanging on to subjunctive verbs and modal modifiers. The point, though, was to explain these, or at least to try to give their logical form.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
A possible world is a maximal possible state of affairs [Plantinga]
     Full Idea: A possible world is just a maximal possible state of affairs.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], I)
     A reaction: The key point here is that Plantinga includes the word 'possible' in his definition. Possibility defines the worlds, and so worlds cannot be used on their own to define possibility.
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
If possible Socrates differs from actual Socrates, the Indiscernibility of Identicals says they are different [Plantinga]
     Full Idea: If the Socrates of the actual world has snubnosedness but Socrates-in-W does not, this is surely inconsistent with the Indiscernibility of Identicals, a principle than which none sounder can be conceived.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], I)
     A reaction: However, we allow Socrates to differ over time while remaining the same Socrates, so some similar approach should apply here. In both cases we need some notion of what is essential to Socrates. But what unites aged 3 with aged 70?
It doesn't matter that we can't identify the possible Socrates; we can't identify adults from baby photos [Plantinga]
     Full Idea: We may say it makes no sense to say that Socrates exists at a world, if there is in principle no way of identifying him. ...But this is confused. To suppose Agnew was a precocious baby, we needn't be able to pick him from a gallery of babies.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], I)
     A reaction: This seems a good point, and yet we have a space-time line joining adult Agnew with baby Agnew, and no such causal link is available between persons in different possible worlds. What would be the criterion in each case?
If individuals can only exist in one world, then they can never lack any of their properties [Plantinga]
     Full Idea: The Theory of Worldbound Individuals contends that no object exists in more than one possible world; this implies the outrageous view that - taking properties in the broadest sense - no object could have lacked any property that it in fact has.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], II)
     A reaction: Leibniz is the best known exponent of this 'outrageous view', though Plantinga shows that Lewis may be seen in the same light, since only counterparts are found in possible worlds, not the real thing. The Theory does seem wrong.
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
The counterparts of Socrates have self-identity, but only the actual Socrates has identity-with-Socrates [Plantinga]
     Full Idea: While Socrates has no counterparts that lack self-identity, he does have counterparts that lack identity-with-Socrates. He alone has that - the property, that is, of being identical with the object that in fact instantiates Socrateity.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], II)
     A reaction: I am never persuaded by arguments which rest on such dubious pseudo-properties. Whether or not a counterpart of Socrates has any sort of identity with Socrates cannot be prejudged, as it would beg the question.
Counterpart Theory absurdly says I would be someone else if things went differently [Plantinga]
     Full Idea: It makes no sense to say I could have been someone else, yet Counterpart Theory implies not merely that I could have been distinct from myself, but that I would have been distinct from myself had things gone differently in even the most miniscule detail.
     From: Alvin Plantinga (Transworld Identity or worldbound Individuals? [1973], II)
     A reaction: A counterpart doesn't appear to be 'me being distinct from myself'. We have to combine counterparts over possible worlds with perdurance over time. I am a 'worm' of time-slices. Anything not in that worm is not strictly me.
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