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Shinichi Mochizuki

The Winding Road to Progress in Mathematics and Physics

Mario Livio | Posted 12.21.2016 | Science
Mario Livio

Many textbooks that briefly describe the history of mathematics and physics leave you with the impression that progress in these fields is achieved through a direct march to the truth. People working in these domains, however, know that nothing can be further from the truth.

Brocard's Enigma

Mario Livio | Posted 11.04.2013 | Science
Mario Livio

Whole numbers continue to intrigue many people (not just professional matheticians) even today, and to date, no mathematically rigorous answer to Brocard's problem exists.

What Is the ABC Conjecture?

Shunsuke Katayama | Posted 09.30.2013 | Science
Shunsuke Katayama

Conjectures are proposals which are thought to be true but has not been proven yet. When a conjecture is proved, it becomes a theorem. A counterexample can also be found to show that the conjecture is NOT correct.