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 ...

This paper investigates the "general" semantics for first-order logic introduced to Antonelli (Review of Symbolic Logic 6(4), 637-58, 2013): a sound and complete axiom system is given, and the ...