Fear of fish Fear of fish Fear of fish or ichthyophobia ranges from cultural phenomena such as fear of eating fish, fear of touching raw fish, or fear of dead fish, up to irrational fear (specific phobia). Galeophobia is the fear specifically of sharks. Ichthyophobia is described in "Psychology: An International Perspective" as an "unusual" specific phobia. Both symptoms and remedies of ichthyophobia are common to most specific phobias. John B. Watson, a renowned name in behaviorism, describes an example, quoted in many books in psychology, of conditioned fear of a goldfish in an infant and a way of unconditioning of the fear
Proof that e is irrational 1. For all terms with we have the upper estimate This inequality is strict for every "n" ≥ "b" + 2. Changing the index of summation to "k" = "n" – "b" and using the formula for the infinite geometric series, we obtain Since there is no integer strictly between 0 and 1, we have reached a contradiction, and so "e" must be irrational. Q.E.D. Another proof can be obtained from the previous one by noting that and this inequality is equivalent to the assertion that "bx" < 1. This is impossible, of course, since "b" and "x" are natural