Gödel's incompleteness theorems
One Hundred Interesting Mathematical Calculations, Number 9: Archive Entry From Brad DeLong's Webjournal One Hundred Interesting Mathematical Calculations, Number 9 One Hundred Interesting Mathematical Calculations, Number 9: False Positives Suppose that we have a test for a disease that is 98% accurate: if one has the disease, the test comes back "yes" 98% of the time (and "no" 2% of the time), and if one does not have the disease, the test comes back "no" 98% of the time (and "yes" 2% of the time). Suppose further that 0.5% of people--one out of every two hundred--actually has the disease. Your test comes back "yes."
Kurt Friedrich Gödel [ 2 ] ( / ˈ k ɜr t ɡ ɜr d əl / ; German: [ˈkʊʁt ˈɡøːdəl] ( listen ) ; April 28, 1906 – January 14, 1978) was an Austrian American logician , mathematician , and philosopher . After World War II, he emigrated to the United States . Considered among the most significant logicians in human history—at the level of Aristotle and Frege —Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell , [ 3 ] A. N. Whitehead , [ 3 ] and David Hilbert were pioneering the use of logic and set theory to understand the foundations of mathematics .
One of the best modern sources of information about Fibonacci is the following article: A. F. Horadam , "Eight hundred years young," The Australian Mathematics Teacher 31 (1975) 123-134. With the kind permission of Professor Horadam and the editor of The Australian Mathematics Teacher, the article is reproduced here. FIBONACCI