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The expression " the number of sheep in this problem" is a definite description , " the so and so".
And definite descriptions seem to be referring expressions, while they may not be, either due to the fact that (1) there is more than one object that satisfies the property, or (2) there is no such object.
More deeply, definite descriptions ...
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As with every part of mathematics applied in natural sciences one can embrace the point of view of instrumentalism. When investigating some natural phenomena (which I call the target system and denote it by T) scientist constructs a mathematical model M together with some sort of interpretation of that model I:M->T such that the pair (M,I) adequately ...
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