Fear of commitment of self-help, Harvard psychologist Deborah DePaulo has written books such as "Singleism" on the stigmatization of single people. The use of the term "fear" or "phobia" imparts an inherent linguistic bias. It recasts specific lifestyle decisions (such as bachelorhood vs. marriage, or a conscious decision to remain childfree by choice) implicitly as generalised, irrational phobias while failing to identify, describe or address an individual's specific motives. For instance, the men's rights movement, citing high divorce rates and expensive alimony and legal costs, would speak not in terms of "fear of commitment" but of "marriage strike" to reflect their position that
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