Course Language:
English
Course Objectives:
The aim of this course is to help students acquire advanced knowledge of symbolic logic and the foundations of mathematics, including quantificational logic, axiomatic systems and alternative logics.
Course Content:
The method of Semantic Tableaux (The Tree method) in the Propositional Calculus Quantification Theory (Predicate Logic). First-order Predicate Logic with identity. Translation of ordinary language into symbolic logic. Rules and techniques of inferences. Methods of proofs: The Tree method. The axiomatic method: The need for axiomatic method. The Euclidean geometry and Non-Euclidean geometries. Axiomatic system for the propositional calculus: Independence, Completeness, Consistency
Course Methodology:
1: Lecture, 2: Question-Answer, 3: Discussion, 4: Exercises
Course Evaluation Methods:
A: Testing, B: Experience, C: Homework