Chatting about REAL numbers

The term "real number" confuses many who are not immersed in mathematics.  For these, to whom 1, 2, 3 and the other counting numbers seem most real, the identification of the real numbers as all infinite decimals (i.e., all numbers representable by points on a number line) seems at first to go beyond intuition.  But, upon further reflection, the idea of a number as "real" iff it can represent a distance on a line to the right or left of a central origin, 0, indeed seems reasonable.

Professor Fred Richman of Florida Atlantic University takes on the questions of computability and enumerability of the real numbers in his poem, "Dialogue Between Machine and Man":

Thinking about Thinking

The question of what it means to think is never far from my focus -- and is particularly on my mind during these days that the computer Watson is competing on the TV game show, Jeopardy.   Here is a poem I like a lot -- "New Math" by Cole Swensen  -- in which the poet (writing more than 20 years ago) considers the limits of computation (and whether it could aid persons unable to recognize faces).