Problem of the Week

February 16, 2008

On a regular basis, each of you will receive a specially 
designed problem to get you thinking. For those of you who 
submit a correct answer, you will be eligible for discounts 
on my collection of ebooks, as well as recognition on my 
website. So good luck, and here's to problem solving.  
Remember, you must work your brain in order that it get 
stronger. 
 
Scientific research done at Stanford University has shown 
that regular mental exercise, such as that performed in 
doing brain teasers, riddles, and the like, improves 
cognitive functioning and brain health. Come work out your 
brain with these fascinating problems and brain teasers.  
For the solution, join my free newsletter by clicking here 
Newsletter Tab. Then email me to let me know. Once I 
receive confirmation that you have joined my newsletter, I 
will send you the link to the solutions page.  
 
 
Problem: Which set has more numbers: {1,2,3,...} or 
{3,4,5,...}? Note: The three dots ... means the sets go on 
forever in the same pattern. Justify your answer. 
 
Note: This problem taps into the wonderful world of 
infinity. (See my series of articles on this most 
fascinating topic.) 
 
Till next time, 
 
Joe