Samuel

Information for Students

Samuel J. Roth, Ph.D.
samuel.roth zavinač math.slu.cz
Office: R202

Logic and Set Theory

Logic & Set Theory

Mondays 9:45 - 11:20 in R202

Conditions of zápočet

Earn 60% average on homework assignments.
Earn 60% average on the midterm and final exams.

Opravný zápočet

Extra homework + makeup exam.

Textbook

Tibor Salat and Jaroslav Smital. Teoria Mnozin. ISBN: 8022309745.

Homework Assignments

Due Date Problems
4.3.2019. Section 1.2 Problems 3, 4.
Section 2.1 Problems 1, 2, 7, 8, 9a
11.3.2019 Section 3.3 Problems 2, 3, 8
20.3.2019 Section 4.2 Problems 4, 6a
Section 4.3 Problems 2, 5
Section 4.4 Problems 6, 10
25.3.2019 Section 5.2 Problem 3
Section 5.3 Problems 3, 4
Section 6.1 Problem 1a, 1b
Give a bijection between (0,1) and [0,1]
1. 4. 2019 Section 5.3 Problem 4e
Section 6.1 Problem 1c, 1d
Prove that if f:A->B is surjective, then |B| <= |A|.
10. 4. 2019 Prove the well-ordering principle: Every non-empty subset of the natural numbers has a first element.
Prove that the construction of the natural numbers as the cardinalities of all finite subsets of some infinite set H does not depend on the choice of H.