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"Also the term "natural selection" is now preferred to the commonly used term in earlier times, "survival of the fittest," because "survival of the fittest" points toward the Nazis and the eugenists."

No. Survival of the fittest has always meant survival of the reproductively fittest, in some cases this means faster predators eat slower prey before the slower prey makes any significant contribution to the population. In some cases it means the male has sexier feathers. Because some, including anti-evolutionists, insist on misunderstanding the phrase it is hardly the fault of the scientists engaged in evolutionary research. The fact that evolution brings up some perhaps unpalatable concepts does not make the ToE wrong.