
Syllogistic Analysis and Cunning of Reason in
... The cunning of reason, in this essay and as a category, is more mathematical and psychological than philosophical. A skillful use of it depends heavily on a piece of mathematics to be taught and on the background of the student. The dependence can be three-folds. The first is the dependence on mathe ...
... The cunning of reason, in this essay and as a category, is more mathematical and psychological than philosophical. A skillful use of it depends heavily on a piece of mathematics to be taught and on the background of the student. The dependence can be three-folds. The first is the dependence on mathe ...
Preservation and destruction in simple refinements
... remain submaximal under refinement. In fact, this is true of all submaximal spaces by a result of Arhangel’skiı̆ and Collins (see [2], Corollary 2.9; see also the stronger Theorem 2.13). There is a class of submaximal spaces that is easy to describe: every scattered space of rank 1 or 2 is submaxima ...
... remain submaximal under refinement. In fact, this is true of all submaximal spaces by a result of Arhangel’skiı̆ and Collins (see [2], Corollary 2.9; see also the stronger Theorem 2.13). There is a class of submaximal spaces that is easy to describe: every scattered space of rank 1 or 2 is submaxima ...