Nice analysis of Boole's work. another interesting analysis is to apply symbolic logic the statements made in ITOE and determine if they are null, Tautologies and actual meaningful statements.

Throughout the early chapters, Boole makes many statements that Ayn Rand echoes in ITOE. That is to be expected as both sought and developed logical structures that explain physical reality. It must be granted that Boole might be accused of accepting the analytic-synthetic dichotomy, but I found that he did so only as a strawman because ultimately, he sought to unify theory and practice.

For instance, in Chapter II (two, not eleven), Boole writes: "It is clear also, that to the above class we must refer any sign which may conventionally be used to express some circumstance or relation, the detailed exposition of which would involve the use of any sign." This is analogous to Rand's statements in ITOE that a concept may refer to _any_ existents but must refer to _some_ existent.

In Chapter III, Boole presages Rand on the relationship between concepts and numbers. Also in Chapter III, Boole addresses the problems in correlating mathematical statements to conceptual definitions. Rand says that concepts are mathematical statements.