id: 05525253
dt: j
an: 2009f.00018
au: Wang, Qingjian; Du, Yushan; Liu, Yu
ti: On similarities and differences of axiom and hypothesis.
so: J. Liaoning Norm. Univ., Nat. Sci. 30, No. 4, 410-413 (2007).
py: 2007
pu: Liaoning Normal University, Dalian
la: ZH
cc: A30 E40 E20
ut: axiom; hypothesis; mathematical science; mathematical education
ci:
li:
ab: Summary: By taking the examples of the historical classical case, this
paper elaborates the similarities and differences in the definition and
application of the axiom and hypothesis. In particular, it points out
that although they are both the rationale of the development of the
science and play a fundamental role in the founding of the theory of
different disciplines, the two have the essential difference in their
foundation of the establishment of the proposition, their content,
their object and their ways of development in early days. It causes the
manifestation of the particularity which distinguishes the sciences and
education of mathematics from other sciences, as well as it is the
reason that the axiom symbols the tendency of mathematical sciences.
rv: