This paper deals with two issues. First, it identifies structured propositions with logical procedures. Second, it considers various rigorous definitions of the granularity of procedures, hence also ...

IN the course of a review of Lewis Carroll's “Game of Logic” (p. 3), Mr. A. Sidgwick says incidentally that “In Mr. Venn's scheme propositions either tell us that a compartment is empty or tell us ...

Russell's paradox is purely logical in the following sense: a contradiction can be formally deduced from the proposition that there is a set of all non-self-membered sets, in pure first-order ...

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Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...