Though Peirce and Frege played crucial roles in the development of modern logic, there has been so far little scholarly work comparing their positions on the nature of logic. I offer here a comparative study of their views on logic and I show that, although they developed their views independently from each other and with very different projects in mind, their positions are extremely similar (e...

Sets play a key role in foundations of mathematics. Why? To what extent is it an accident of history? Imagine that you have a chance to talk to mathematicians from a far away planet. Would their mathematics be setbased? What are the alternatives to the set-theoretic foundation of mathematics? Besides, set theory seems to play a significant role in computer science, in particular in database the...

The article examines numerous representations and judgments about the object of semiotics research existing in recent years both domestic foreign linguistic literature. history analyzed sign system is considered, along with detailed information signs' nature, types, functions. Examples from works prominent representatives this field, such as C. S. Peirce, W. von Humboldt, F. de Saussure, Y. Lot...

The foundation of an algebraic theory of binary relations was laid by C. S. Peirce, building on earlier work of Boole and De Morgan. The basic universe of discourse of this theory is a collection of binary relations over some set, and the basic operations on these relations are those of forming unions, complements, relative products (i.e., compositions), and converses (i.e., inverses). There is...