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This is a quote from Bertrand Russell:

It is not only colours and sounds and so on that are absent from the scientific world of matter, but also space as we get it through sight or touch. It is essential to science that its matter should be in a space, but the space in which it is cannot be exactly the space we see or feel. To begin with, space as we see it is not the same as space as we get it by the sense of touch; it is only by experience in infancy that we learn how to touch things we see, or how to get a sight of things which we feel touching us. But the space of science is neutral as between touch and sight; thus it cannot be either the space of touch or the space of sight. (Source: The Problems of Philosophy)

I am not sure I understand what "as between touch and sight" mean here. Did the author mean: "as it is between touch and sight"? Can someone reword it. It seems some word were taken out for brevity sake.

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I think this is not so clear to understand from text directly. "As between" has two ways to understanding here.

First of them. As between touch and sight. Link to result of inner process between touch and sight. Something new. This is positive meaning but far from context.

Second of them. As between touch and sight. This is negative, not one not another. Like something between man and woman. This is not a man and not a woman, this is not a human at all, just object. Object for cold mind. This is space of science.

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The as here is the same as you have in the phrase as to, which means "with regard to (a matter)":

As to the question of how this might be achieved, he had very little to say.

She was uncertain as to whether the factory would be opening soon.

The difference here is that as to cannot be followed by a phrase beginning with a preposition. So one can't say "as to between touch and sight." But this is essentially the meaning intended. One could paraphrase as between touch and sight by "so far as any preference between touch and sight is concerned."

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