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 s...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.展开更多
文摘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.
