These 'general semantics' orientations then provide the opportunity for 'reframing"reality' by using, among other tools, the

theory of groups and the theory of logical types.

According to Mancur Olson's seminal work (The Logic of Collective Action: Public Goods and the

Theory of Groups.

While working to expose a coherent general

theory of groups acting isometrically on infinite-dimensional hyperbolic space, Das, Simmons,and Urbanski realized that a more natural domain for their inquiries was the much larger setting of semigroups acting on Gromov hyperbolic metric spaces.

Biswas [3] applied this new concept of interval-valued fuzzy sets to the

theory of groups and introduced the notion of interval-valued fuzzy

The 11 lectures delivered during the July 2010 School introduce the modern

theory of groups generated by finite automata, noncommutative calculus and operads, applications of noncommutative tori to number theory and physics, the construction of spectral triples, twisted bundles and twisted K-theory, and noncommuntative motives.

He seems to have come across Frobenius's paper of 1908-9, in which the latter had elaborated on Perron's 1907 proof, because of his interest in the

theory of groups (on which he had worked in his mathematical dissertation).