Hilbert＇s Foundations Remain Intact  

作　　者：Tony Palmer Tony Palmer(Ex-Department of Operational Research, School of Applied Sciences, University of Sussex, United Kingdom.)

机构地区：[1]Ex-Department of Operational Research, School of Applied Sciences, University of Sussex, United Kingdom.

出　　处：《Journal of Mathematics and System Science》2016年第8期330-334,共5页数学和系统科学（英文版）

摘　　要：Some of the seemingly important contributions made by Russell, Cantor and Godel regarding the foundations of mathematics lose credibility when addressed at a more fundamental level which assumes language consists of symbols devoid of what they mean. Such an approach can reveal neglected assumptions which are of consequence when made explicit and which, in particular, mean that Hilbert in fact had no need to heed Godel＇s revolutionary results regarding the foundations of mathematics.

关 键 词：PARADOX SELF-REFERENCE foundations of mathematics 

分 类 号：O11[理学—数学] C913.7[理学—基础数学]