Logic II
asagiroglu@gsu.edu.tr
Content
Objective
To provide an acquirement of the vocabulary and the concepts of the first order predicate logic
Course Content
Formal language PQ and formal system PFQ
Course Learning Outcomes
Learning semantical analysis of the formulas of the formal language PQ and acquiring the capacity of proving the theorems of the formal system PFQ.
Teaching and Learning Methods
Lecture
References
Introduction to Logic II, Yalçın Koç ,Boğaziçi University Publications,1980.
Naive Set Theory, Paul Richard Halmos, D. Van Nostrand Company, Princeton, NJ, 1960.
Introduction to Mathematical Logic, Eliot Mendelson, D. Van Norstand Company, Princeton NJ, 1964
Sembolik Mantık, Tarık Necati Ilgıcıoğlu, Anadolu Üniversitesi Yayınları, Ankara 2013.
Introduction to Mathematical Logic, Church, A., Princeton University Press, Princeton NJ, 1956.
Introduction to Logic, Suppes, P., D. Van Norstrand Company, Princeton NJ, 1957.
Logique formelle et argumentation, Laurence Bouquiaux & Bruno Leclercq, De Boeck, Brüksel, 2009.
Weekly Contents
| Week | Weekly Contents |
|---|---|
| 1 | Formal language PQ : alphabet and grammar |
| 2 | Semantics of the formal language PQ: Set theory |
| 3 | Semantics of the formal language PQ: Partition and enumeration of a set, denumerable sequences. |
| 4 | Interpretation of the formal language PQ |
| 5 | Interpretation of a formula of the formal language PQ : Domain of interpretation, n-place relations and n-place functions |
| 6 | Semantical analysis of the grammatical formulas of the formal language PQ |
| 7 | Semantical implication and deduction meta-theorem for the formal language PQ |
| 8 | Mid-term |
| 9 | Formal system PFQ |
| 10 | Deduction and proof in the formal system PFQ |
| 11 | Syntactical implication for the formal system PFQ |
| 12 | Deduction meta-theorem for the formal system PFQ |
| 13 | Consistence meta-theorem for the formal system PFQ |
| 14 | Completeness meta-theorem for the formal system PFQ |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 1 | 0 |
| Contribution of final exam to overall grade | 1 | 0 |
| Total | 2 | 0 |
| Activities | Number | Contribution |
|---|---|---|
| Midterm Examinations (including preparation) | 1 | 0 |
| Total | 1 | 0 |
Relation of Proficiency
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Analyze philosophical texts with analytical and critical rigor; | |||||
| 2 | Get an exhaustive knowledge on the history of philosophy; from antiquity to 20th century; | |||||
| 3 | Provide access to information and expertise in the fields of systematic philosophy, such as ethic, esthetic, history of science, philosophy of society; | X | ||||
| 4 | Establish the relation between philosophy and other fields of knowledge, such as, history, psychology, anthropology, sociology and other positive sciences; | X | ||||
| 5 | Learn the theories of political science and the philosophical evaluation of historical and actual events; | |||||
| 6 | Have a sufficient level of French and English in order to follow philosophical debates; | X | ||||
| 7 | Have a sufficient level of the ancient Greek, Latin and Ottoman languages for reading philosophical texts written in these; | |||||
| 8 | Develop a creative thinking and a knowledge of aesthetic theories which will allow the analysis of artworks and the history of art; | |||||
| 9 | Acquire academic research methods and writing ability as well as to develop analytical skills, interpretation and criticism. | |||||