Wittgenstein had written about 1000 pages, dedicated to logic and mathematics, most of which are included in the "Philosophical Investigations" and "Philosophical Grammar" (the so-called "transitional texts"). Although these two texts contain extensive references to advanced mathematics, the more mature views contained in this book mainly revolve around elementary concepts. The reason is that in this book, Wittgenstein presents, to some extent, the conclusions of the research he conducted in the transitional texts, and, being convinced that the problems arising in philosophical discussions about mathematics are due to confusions that occur at the elementary level, he concluded that if he wanted to dissolve these confusions, he had to eliminate them before they become complex theories. Of course, here too his observations concern higher mathematics, but the emphasis is on the discussion of underlying concepts, such as proof and verifiability, teaching, learning, and the sequence of a rule, computation in contrast to experiment, the status of axioms, the formation of concepts, the truth and certainty of mathematical propositions, the extent and intensity in number theory, etc. Just like in the philosophy of language, here too, Wittgenstein's contribution is radical: Despite attempts to integrate him into existing currents of foundational activity, Wittgenstein outright rejects logicism, formalism, and structuralism. He proclaims that mathematics is a "colorful conglomerate of techniques," rejecting attempts to homogenize them under a unified axiomatic fortress, which would conceal their significant functional differences.