Monthly Archives: June 2010

Euler’s Riddle

Posted on June 16, 2010 by Vadim Kulikov

Please comment your solutions, questions and remarks.. I found in a recreational book the following riddle attributed to Leonard Euler. The book gives a clumsy solution involving solutions of quadratic equations, a lot of fractions and half a page of … Continue reading →

Posted in Algebra, Mathematics, Recreation, Wednesday Problem | 2 Comments

Apology

Posted on June 9, 2010 by Vadim Kulikov

There was a generous break in the posts lately and I apologize for that. I promise to counterbalance this by posting some really tough stuff! soon… ;-)

Posted in Meta | 1 Comment

How To Find Your Way Out of Woods

Posted on June 9, 2010 by Vadim Kulikov

Please comment your solutions, questions and remarks.. A lumberjack got lost in a forest. He knows that the area of the forest is S and that there are no meadows in the forest. Show that he can get out from … Continue reading →

Posted in Geometry, Mathematics, Recreation, Wednesday Problem | 3 Comments

The Most Important Relation In Mathematics 1

Posted on June 7, 2010 by Vadim Kulikov

Part 1: Basics In this and few following posts I will argue that not only in mathematics, but in all human reasoning, the role of equivalence relations is crucial. The notion of an equivalence relation is the key to any … Continue reading →

Posted in Education, Foundations, Mathematics, Philosophy | 3 Comments