Online ISSN : 1884-1236
Print ISSN : 0022-7668
ISSN-L : 0022-7668

ジャーナル フリー

2012 年 39 巻 2 号 p. 83-92

This article is to give a brief survey of roles of large cardinals (those ordinals which are in certain sense very big) in set theory of our time. In particular, close relationship of the structure of the continuum to large cardinals is emphasized. We also mention the inner model method which is a comparable approach to large cardinal axioms, so that we could make clear the reason why large cardinals are so important.