In the 1970s, Robin Giles introduced a game combining Lorenzen-style dialogue rules with a simple scheme for betting on the truth of atomic statements, and showed that the existence of winning ...

This is a preview. Log in through your library . Abstract In the literature there are at least two main formal structures to deal with situations of interactive epistemology: Kripke models and type ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

When Aristotle and his predecessors devised their theories of logic and mathematics, they came up with the so-called Law of the Excluded Middle, which states that every proposition must either be true ...

Polymath Christine Ladd-Franklin is best known for her theory of the evolution of color vision, but her research spanned mathematics, symbolic logic, philosophy, biology and psychology. Born in ...

Controlling magnetic states in materials typically requires continuous power or only works in rare, specialized systems. Researchers developed a general theory showing how electric fields can ...

Automata theory and temporal logic together form a foundational pillar in the design and analysis of data processing systems. At its core, automata theory provides abstract models—ranging from finite ...