Cycles and Fixed Points - Counting Permutations By Number of Fixed Points

Famous quotes containing the words counting, permutations, number, fixed and/or points:

“Is it not manifest that our academic institutions should have a wider scope; that they should not be timid and keep the ruts of the last generation, but that wise men thinking for themselves and heartily seeking the good of mankind, and counting the cost of innovation, should dare to arouse the young to a just and heroic life; that the moral nature should be addressed in the school-room, and children should be treated as the high-born candidates of truth and virtue?”
—Ralph Waldo Emerson (1803–1882)

“Motherhood in all its guises and permutations is more art than science.”
—Melinda M. Marshall (20th century)

“I wonder love can have already set
In dreams, when we’ve not met
More times than I can number on one hand.”
—Philip Larkin (1922–1986)

“The word “obligation” is very seldom in my thoughts, and consequently very seldom is it uttered by my tongue. For I am satisfied that whoever hath the word “obligation” continually in his mouth hath the love of tyranny steadily fixed in his heart.”
—Sarah Fielding (1710–1768)

“The dominant metaphor of conceptual relativism, that of differing points of view, seems to betray an underlying paradox. Different points of view make sense, but only if there is a common co-ordinate system on which to plot them; yet the existence of a common system belies the claim of dramatic incomparability.”
—Donald Davidson (b. 1917)