Some Operations in the Class Algebra of NBG to Make Different Mathematical Objects
Some Operations in the Class Algebra of NBG to Make Different Mathematical Objects

Summary/Abstract: This philosophical-algebraic presentation aimed at a simple and concise exposition of notions and demonstrations, especially in class algebra. The demonstrations were constructed so that they configure the epistemological objectives on a logical linguistic level, of interest for this analysis: conceptual clarifications and the loading of logical symbols with mathematical signification. My hypothesis is that the propositions of logic have no mathematical content, but become propositions of mathematics, just as, by a different level analogy, propositions of mathematics become propositions of physics. Thus, within the scope of this analysis, a meaningless logical proposition becomes a “mathematical proposition”, a proposition with “mathematical signification” by the loading of logical symbols with mathematical significations. As a result, mathematics is regarded here as more than the Wittgensteinian meaning of mathematics as a method of logic

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