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diff --git a/essays/mathematical_studies.tex b/essays/mathematical_studies.tex index bfae1b5..ffb914b 100644 --- a/essays/mathematical_studies.tex +++ b/essays/mathematical_studies.tex @@ -1,5 +1,8 @@ \chapter{1966 Mathematical Studies: Introduction} +\fancyhead{} \fancyfoot{} \fancyfoot[LE,RO]{\thepage} +\fancyhead[LE]{\textsc{Mathematical Studies (1966)}} \fancyhead[RO]{\textit{Introduction}} + Pure mathematics is the one activity which is intrinsically formalistic. It is the one activity which brings out the practical value of formal manipulations. Abstract games fit in perfectly with the tradition and rationale of pure mathematics; whereas they would not be appropriate in any other discipline. Pure mathematics is the one activity which can appropriately develop through innovations of a formalistic character. Precisely because pure mathematics does not have to be immediately practical, there is no intrinsic reason why it should adhere to the normal concept of logical truth. No harm is done if the mathematician chooses to play a game which is indeterminate by normal logical standards. All that matters is that the mathematician clearly specify the rules of his game, and that he not make claims for his results which are inconsistent with his rules. |