It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of all, this: that it shall be possible to establish the correctness of the solution by means of a finite number of steps based upon a finite number of hypotheses which are implied in the statement of the problem and which must always be exactly formulated. This requirement of logical deduction by means of a finite number of processes is simply the requirement of rigor in reasoning.


Mathematical Problems (1900)


It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of...

It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of...

It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of...

It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of...