I would suggest that anything that is useful has value. The degree to which it serves us, and the degree to which it is scarce establishes the value. You seem to imply only that which can be touched has value.
Money can be a medium of exchanging wealth (not having intrinsic wealth itself), or it can itself have wealth. In which case it is really more of a commodity, than it is money.
A piece of paper (IOU / BoE / Promise to pay) has agreed value, but not intrinsic value. But to suggest an IOU / BoE / Promise to pay has no value suggests agreements have no value... Just saying...
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