> Hi, > > With the 21st century almost upon us; > > In a similar fashion to Hilbet's 23 problems but forward in 1900. What > would be the problems that you think should be presented to challenge > mathematicians of the 21st century? > > Who do you think is best qualified, currently, in the mathematics world > to present these new/old problems? > > Thanks for your time.. > Simon Croall > email : firstname.lastname@example.org
I believe his original goal of finding a finite set of axioms and rules of reasoning sufficiant to prove or disprove all theorems would quallify as a worthy challenge.
Every definite mathematical problem must necessarily be susceptible of an exact settlement, either in the form of an actual answer to the question asked, or by the proof of the impossibility of its solution and therewith the necessary failure of all attempts... However unapproachable these problems may seem to us and however helpless we stand before them, we have, neverthelesss, the firm conviction that their solution must follow by a finite number of purely logical processes... "We hear within us the perpetual call: There is the problem. Seek its solution. You can find it by pure reason..." - Dave Hilbert.