Here is a preview of two images that should be included in my "Cantor Defeated Galileo in the Battle of Infinite Numbers" in Decoded Science.

"Uncountable Real Numbers" by Mike DeHaan
Cantor used a diagonal argument to prove that Real numbers cannot be counted.

Cantor demonstrated that a set of "tuples" of numbers, like { (1, 2), (3, 1) }, could be counted. Here again he used a diagonal.

My article has also been publicized in my DeHaan Services blog; you may peruse "Who Had the Larger Infinity, Galileo or Cantor?".

Writing Tips

Today's writing tip might repeat a concept I introduced previously, but I really like it.

Extend your research and write follow-up articles based on your current work.

In this case, I stumbled into Cantor's non-countable infinity while researching Galileo's infinity for last week's article ("The Paradox of the Infinite Series of Squares Numbers by Galileo").

As well, the current article provided ideas for several follow-up articles as well.

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    Mike DeHaan

    Mike DeHaan began writing professionally in 2010 as the sole proprietor of DeHaan Services.To see this information with the best background image, please refer to "About.Me",  befriend me at Facebook, or circle me at Google+.


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