New posts in higher-order-logic

Second-order logic - monadic version and Henkin semantics

Is there any generalization of the hyperarithmetical hierarchy using the analytical hierarchy to formulas belonging to third-order logic and above?

Who first proved that the second-order theory of real numbers is categorical?

advantage of first-order logic over second-order logic

Relationship between propositional logic, first-order logic, second-order logic higher-order logic, and type theory

Do isomorphic structures always satisfy the same second-order sentences?

Is many sorted logic really a unifying logic?

are there non-standard models of arithmetic in second order arithmetic?

Henkin vs. "Full" Semantics for Second-order Logic and Multi-Sorted First Order Interpretations

What are some examples of third, fourth, or fifth order logic sentences?

What's an example of a theory that's consistent yet has no model?

Is second order logic even a logic?

First-order logic advantage over second-order logic

Is First Order Logic (FOL) the only fundamental logic?