Abel's Test - Abel's Test in Real Analysis

Famous quotes containing the words test, real and/or analysis:

“Experimental work provides the strongest evidence for scientific realism. This is not because we test hypotheses about entities. It is because entities that in principle cannot be ‘observed’ are manipulated to produce a new phenomena
[sic] and to investigate other aspects of nature.”
—Ian Hacking (b. 1936)

“All ... forms of consensus about “great” books and “perennial” problems, once stabilized, tend to deteriorate eventually into something philistine. The real life of the mind is always at the frontiers of “what is already known.” Those great books don’t only need custodians and transmitters. To stay alive, they also need adversaries. The most interesting ideas are heresies.”
—Susan Sontag (b. 1933)

“... the big courageous acts of life are those one never hears of and only suspects from having been through like experience. It takes real courage to do battle in the unspectacular task. We always listen for the applause of our co-workers. He is courageous who plods on, unlettered and unknown.... In the last analysis it is this courage, developing between man and his limitations, that brings success.”
—Alice Foote MacDougall (1867–1945)