数学研究与评论
數學研究與評論
수학연구여평론
JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
2003年
4期
635-643
,共9页
内束%Poincaxé连续统%跃距结构%半无限小
內束%Poincaxé連續統%躍距結構%半無限小
내속%Poincaxé련속통%약거결구%반무한소
Poincaré's intimate bond%leap-structure%Poincaré continuum%semiinfinitesimal
本文研究了Poincaré著名注记中"内束"观念的数学表述法问题,通过构建Poincaré连续统模型,得到了这一问题的一种解答.文中还论述了有关数理哲学及方法论问题;文末特别指出了须继续研究的数学问题.
本文研究瞭Poincaré著名註記中"內束"觀唸的數學錶述法問題,通過構建Poincaré連續統模型,得到瞭這一問題的一種解答.文中還論述瞭有關數理哲學及方法論問題;文末特彆指齣瞭鬚繼續研究的數學問題.
본문연구료Poincaré저명주기중"내속"관념적수학표술법문제,통과구건Poincaré련속통모형,득도료저일문제적일충해답.문중환논술료유관수리철학급방법론문제;문말특별지출료수계속연구적수학문제.
Henri Poincaré's intuitive concept of the linear continuum was described by his famous remark which was noted by Bertrand Russell, and in which the notion of "intiremark, and also aims at a formulation of the intimate bond with the aid of introducing a kind of "leap structure" into Robinson's *R as a supplemental construction. As a result,
