Depending on who you ask, surival of the fittest can have different meanings.
Common meaning of fit or fittest can be strength, health, speed, intelligence, or how long one may live.
From an evolutionary stand point, fittest refers to capability and reproductive successand fit individuals reproduce more offspring than less fit individuals.
survival of the fittest (noun)
1.) (not in technical use) natural selection
2). a 19th century concept of human society, inspired by the principle of natural selection, postulating that those who are eliminated in the struggle for existence are the unfit.
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Anderson, D. L., Fisher, K. M., & Norman, G. J. (2002). Development and evaluation of the conceptual inventory of natural selection. Journal of research in science teaching, 39(10), 952-978.
Bishop, B.A. & Anderson, C.W. (1990). Student conceptions of natural selection and its role in evolution. Journal of research in science teaching, 27(5), 415-427.
Survival of the fittest http://dictionary.reference.com/browse/survival+of+the+fittest