Brendan,
Nate: “Well, first of all, the tables T1 and T2 are not alike in every way possible-- they occupy different positions relative to other objects (such as each other). “
That’s true, but what is the relevance of this to concept formation?
Just wanted to clear up a possible argument that they are the same table because they are alike in every possible way. They are still distinct tables. You're right that it has no bearing on the matter at hand, but I could see Daniel complaining about it down the road if I don't say something about it now.
Especially when you go on to say:
“Second, as far as both children are concerned, they've both only seen one table, since there is no reason to consider them distinct if they look exactly the same.”
But you’ve just said that they’re not "alike in every way possible”. Now you’re saying that the tables are so alike that the children have in effect seen only one table. And this latter claim is false: one child has seen two tables, the other only one table.
This is good-- I have to distinguish between what the child knows and what the experimenter knows. The experimenter knows that there are two distinct tables since he, presumably, has seen then side by side. The child has not has this luxury, and indeed if the experimenter himself were presented the two tables in succession as proposed by Daniel in his experiment, he would come to the conclusion that it was the same table if they are indeed alike in every respect. Knowledge is contextual, just as in our discussion about the Morning and Evening Stars and Venus.
In the first case, there is a relationship of similarity, in the second, of identity. You’re saying the children cannot tell the difference, implying a split between the children’s minds and reality. Of course they can't tell the difference-- by Daniel's very assumption, there is no difference. The only difference would be in relative position to the other table, which is impossible to perceive because each child only sees one table at a given time. There is no disconnect with reality here. In fact, if there is any disconnect with reality, it is Daniel's thought experiment itself as suggested by Mr. Cresswell.
As for the children having seen a table in the past, the intro to the thought experiment explicitly says they haven’t, which must be the case if the experiment is to be informative. Noted. However, it is extremely unlikely that there is a child anywhere with a working vocabulary who hasn't seen exactly one table in his entire life to on which to perform this bizarre experiment.
Anyway, you’ve decided that the children cannot have formed a concept, but can nevertheless refer to the table as a particular. So can they use the word “table” to do this, or do they have to have formed the concept before they can use the word? They do not have to form the concept to use the word. "Table" to the child would be naming a particular much as "Brendan" names the particular which is you. Later (unless, this child were subjected to more of Daniel's thought experiments) one would correct him and point out that the word "table" subsumes an indefinite number of units, not just the one he saw.
Nate
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