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)

“Friends, both the imaginary ones you build for yourself out of phrases taken from a living writer, or real ones from college, and relatives, despite all the waste of ceremony and fakery and the fact that out of an hour of conversation you may have only five minutes in which the old entente reappears, are the only real means for foreign ideas to enter your brain.”
—Nicholson Baker (b. 1957)

“Analysis as an instrument of enlightenment and civilization is good, in so far as it shatters absurd convictions, acts as a solvent upon natural prejudices, and undermines authority; good, in other words, in that it sets free, refines, humanizes, makes slaves ripe for freedom. But it is bad, very bad, in so far as it stands in the way of action, cannot shape the vital forces, maims life at its roots. Analysis can be a very unappetizing affair, as much so as death.”
—Thomas Mann (1875–1955)