We generalize the derivation of Wallis formula for $\pi$ from a variational computation spectrum Hydrogen atom. obtain infinite product formulas certain combinations gamma functions, which include irrational numbers such as $\sqrt 2$ well some nested radicals. also derive Euler's reflection reciprocals positive even integers. show that Bohr's correspondence principle allows us to our and withou...

The present article reviews the Polish-language edition of Gottlob Frege’s scientific correspondence. In article, I discuss material hitherto unpublished in Polish relation to remainder works. First all, inquire into role and nature definitions. Then, consider recognition criteria for sameness thoughts. article’s third part, study letters devoted principle semantic compositionality, while fourt...

We introduce a correspondence principle (analogous to the Furstenberg correspondence principle) that allows one to extract an infinite random graph or hypergraph from a sequence of increasingly large deterministic graphs or hypergraphs. As an application we present a new (infinitary) proof of the hypergraph removal lemma of Nagle-Schacht-Rödl-Skokan and Gowers, which does not require the hyperg...

This paper analyses the Marxian theory of exploitation. A general axiomatic approach is developed which is appropriate to study the concept of exploitation what it is and how it should be captured empirically. Two properties are presented that capture some fundamental Marxian insights. It is shown that, contrary to the received view, there exists a nonempty class of definitions of exploitation ...