Abstract
It is easy to argue that real signals must be bandlimited. It is also easy to argue that they cannot be so. This paper presents one possible resolution of this seeming paradox. A philosophical discussion of the role of mathematical models in the exact sciences is given and a new formulation of the 2 WT theorem is presented. The paper is a written version of the second Shannon Lecture given at the 1974 International Symposium on Information Theory. An appendix giving proof of the 2 WT theorem has been added.

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