Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Fuzzy logic is based on the central idea that in fuzzy sets each element in the set can assume a value from 0 to 1, not just 0 or 1, as in classic set theory. Thus, qualitative characteristics and ...

Topic summaries Mathematical Sciences Pure Mathematics Mathematical Logic, Set Theory, Lattices and Universal Algebra Algebraic Structures and Fuzzy Logic Applications About these AI generated ...

The aim of the course is to familiarize students of philosophy with the essentials of naive set theory and formal logic. From set theory, the course covers (i) what is needed for use in formal ...

Bear with me. This logic is illuminating. In set theory, a union of a collection of sets is defined as the set of all members of the collection.

Synthese spans the topics of Epistemology, Methodology and Philosophy of Science. Coverage includes the theory of knowledge; general methodological problems of science, of induction and probability, ...

Mathematics often helps us to think about issues that don’t seem mathematical. One area that has surprisingly far-reaching applications is the theory of sets. Sets are one of the most basic ...

Memristors, a type of circuit element based on magnetic flux, were first proposed back in 1971, but remained limited to the realm of theory until 2008. That's when some researchers from HP Labs ...

Students taking this course should already have taken a year-long introductory course in logic in a Philosophy Department, or a mathematical course that covers the basics of set theory and logic. If ...