WEEK 8  
M: Cantor Theorem, Schroeder-Bernstein Theorem, Cardinals.  
       1.66. Cantor Theorem.  
       1.67. Schroeder-Bernstein Theorem.  
       1.68. Cardinal. 
W: Basic facts about cardinals.  
                  Remark. On splits into half open intervals [\alpha,\alpha') where \alpha is a cardinal.  
        1.69. Definition and  Proposition. Cn = the class of all cardinals. This is really a class.
        1.70. Proposition. If A is a set of cardinals then sup(A) is a cardinal.
        1.71. Theorem. Cn is a proper class.
        1.72. Proposition. (a) Every element of \omega is a cardinal. (b) \omega is a cardinal.
        1.73. Definition. Finite, countable and uncountable sets.
        1.74. Definition. The function \alpeph. \aleph_\alpha, \omega_\alpha.  
F: Holiday.