【摘要】 皮尔士对于康托连续统给予高度评价,同时又从概念层面上予以批判。他从逻辑学考察出发,指出康托连续统并非几何直观意义上的连续统,因而是"伪连续统"。皮尔士依据无穷小理论所界定的非度量性的连续统观念,为现代数学的基础批判提供了有益启示。更多还原

【Abstract】 While appreciating highly Contor’s Continuum,Peirce criticized conceptually Cantor’s mathematical characterization.Basing on a logical consideration,he conceived Contor’s Continuum as pseudo-continuum in that it is inconsistent with the geometrical intuition of continuum.Peirce’s non-metric approach gives much illumination on the foundational critique of modern mathematics.更多还原