Recent Posts For Foundations of Mathematics
Post Consistency in Formal Theories
A theory is Post consistent if it contains at least one unprovable…
Intuitionistic Mathematics
Mathematics built on intuitionistic logic, prioritizing constructive proofs and avoiding non-constructive axioms…
Independence Results in Logic and Mathematics
An independence result demonstrates that a statement is neither provable nor disprovable…
Finitary Formal Systems Explained
A finitary formal system uses only finite operations, proofs, and expressions. It…
Finitary Arithmetic
Finitary arithmetic is a mathematical approach that emphasizes constructive methods, avoiding infinite…
Constructive Mathematics
Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It…