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It is true that if the relation of brain to mind were many-one, not one-one, there would be a one-sided dependence of mind on brain, while conversely, if the relation were one-many, as Bergson supposes, there would be a one-aided dependence of brain on mind.
When, given A, it is possible to infer B, but given B, it is not possible to infer A, we say that B is dependent upon A in a sense in which A is not dependent upon B. Stated in logical terms, this amounts to saying that, when we know a many-one relation of A to B, B is dependent upon A in respect of this relation.
Now, this unity underlying a multiplicity, these many faces, moods, and movements, traceable to one only type, I find deeply connected in my mind with Unamuno's person and with what he signifies in Spanish life and letters. And when I further delve into my impression, I first realize an undoubtedly physical relation between the many-one Welsh divines and the many-one Unamuno.
It is impossible to state this accurately in non-mathematical language; the nearest approach would be as follows: "There is a constant relation between the state of the universe at any instant and the rate of change in the rate at which any part of the universe is changing at that instant, and this relation is many-one, i.e. such that the rate of change in the rate of change is determinate when the state of the universe is given."
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