This part consists eleven theses. These theses quote the concept of set to show the judgment of truth or false on some propositions in mathematical theory, don’t touch the others. The others all applies the concept of set to discuss some questions about the truth table of the compound proposition in Logics and give some conclusions besides the explain is given behind the first thesis. It is very small that these conclusions compare with the whole language system that needs to set up scientific logical theory. If these conclusions bring up some revelations for some scholars to research logical problems, I will feel very be gratified.
In china, Facility logical theory has edited the grade one textbook of senior high school. The teachers and the students in senior high school have common understand of the logical knowledge; in order to make the teachers and the students understand my conclusions in logics, I quote some simple and familiar examples which were known well such as one-variable quadratic equation and one-variable quadratic inequality etc which are quite elementary content, since the teachers and the students have studied Facility logical theory, they have certain understand for logical knowledge;so as to make the colony of the teachers and the students can understand my elementary cognitions in Logics,I try my best to quote the examples which is familiar for people, sometimes the same example is quoted many times. So I do make the people know that there are problems in Logic? At the same time I try my best to avoid the complex and multiplicity examples too difficult to understand the conclusions.
Append explain:
In these eleven thesis, the transition between “or” “and” “no” in the truth table of the compound proposition in logic and “union” “intersection” “complementary” in the operations of set in set theory are equivalent,the express of set do not use the standard expressing mean of set,since there is not the symbol of complementary set in mathematical formula editor, hence I use the symbol of
to express the complementary set of A. This point does not explain in the theses any more.
This part answers the questions that some one brings forward in the first thesis.