Faculdade de Ciências e Tecnologia

Logic

Code

8526

Academic unit

Faculdade de Ciências e Tecnologia

Department

Departamento de Matemática

Credits

6.0

Teacher in charge

Reinhard Josef Klaus Kahle

Weekly hours

6

Teaching language

Português

Objectives

Introduction in Mathematical Logic up to Gödel''''s Incompleteness Theorems.

Prerequisites

Mathematical spirit.

Subject matter

1. Predicate calculus

2. Completeness theorems

3. Recursion theory

4. Formatization of arithmetic, Gödel''''s theorems

Bibliography

- Jon Barwise. An introduction to first-order logic. In J. Barwise, editor, Handbook of Mathematical Logic, pages 5–46. North-Holland, 1977.

- Reinhard Kahle. Lógica. Sebentas.

- C. Smorynski. The incompleteness theorems. In J. Barwise, editor, Handbook of Mathematical Logic, pages 821–865. North-Holland, 1977.

Teaching method

Usual university-style Math teaching.

Evaluation method

Seminar + Report + oral examination (optional): 100%

Courses