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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Shimon Garti
Coordinator Office Hours:
Sunday, 9:00-10:00
Teaching Staff:
Dr. Shimon Garty
Course/Module description:
The course will focus on the model-theoretic aspect of Peano Arithmetic.
Course/Module aims:
To acquire basic familiarity with models of Peano.
Learning outcomes - On successful completion of this module, students should be able to:
The students will be able to learn more advanced material in the area.
Attendance requirements(%):
None.
Teaching arrangement and method of instruction:
Frontal lecture.
Course/Module Content:
a. The standard model, order types of Peano models, induction axioms, Robinson's theorem (overspill).
b. Collection axioms, Gaifman's splitting theorem, prime models, end-extensions, MacDowell-Specker theorem.
c. Saturation, recursive saturation, Tennenbaum's theorem Kaufmann models.
Required Reading:
None.
Additional Reading Material:
a. Richard Kaye, Models of Peano Arithmetic.
b. Roman Kossak and James Schmerl, The Structure of Models of Peano Arithmetic.
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 100 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
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