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 ...

Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

The Journal of Philosophical Logic provides a forum for work at the crossroads of philosophy and logic, old and new, with contributions ranging from conceptual to technical. Accordingly, the Journal ...

Abstract: Based on the analysis of the constructions of T-conclusion by means of deduction theorems, completeness theorems and the theory of truth degree of formulas, the present papers introduces the ...

This is a preview. Log in through your library . Abstract Deductive inference is usually regarded as being "tautological" or "analytical": the information conveyed by the conclusion is contained in ...

There are two main reasons mathematics has fascinated humanity for two thousand years. First, math gives us the tools we need to understand the universe and build things. Second, the study of ...

This course is available on the BSc in Philosophy and Economics, BSc in Philosophy, Logic and Scientific Method, BSc in Philosophy, Politics and Economics and BSc in Politics and Philosophy. This ...

Symbolic logic is fundamental to computer science, providing a foundation for the theory of programming languages, the theory of databases, AI, knowledge representation, automated reasoning, and ...