Proportionality Quotes
Jacob Bekenstein found... in 1971 that every black hole must have an entropy proportional to the area of its horizon... Stephen Hawking then refined this by showing that the constant of proportionality must be... exactly one quarter. ...entropy is supposed to correspond to a measure of information ...Loop quantum gravity... [gives] a detailed description of the microscopic structure of a black hole. ...a horizon can have, for each quantized unit of area, a finite number of states. Counting them, we get exactly Bekenstein's result...
Lee Smolin
It seems to me that we must make a distinction between what is "objective" and what is "measurable" in discussing the question of physical reality, according to quantum mechanics. The state-vector of a system is, indeed, not measurable, in the sense that one cannot ascertain, by experiments performed on the system, precisely (up to proportionality) what the state is; but the state-vector does seem to be (again up to proportionality) a completely objective property of the system, being completely characterized by the results it must give to experiments that one might perform.
Roger Penrose
In a call with reporters hosted by the Freedom of the Press Foundation on Tuesday, board member John Cusack expressed his umbrage with the media's "character assassination” of Edward Snowden and neglect of The Real Issues. "Why are the red and blue elites in the establishment press so afraid of an informed public?” he asked rhetorically. "Why do they keep changing the subject?” "Have the establishment media been so co-opted by government access that they've lost all sense of proportionality?”.
Edward Snowden
Friendship is precious in the hearts of the children of men. Generosity, gratitude (I mean here only that gratitude which is born of admiration of a superior power), and friendship are three three distinct shades of a single sentiment which I will call "equity" or "social proportionality. Equity does not change justice; but always taking equity as the base, it adds to it esteem and thereby forms in man a third degree of sociability. Equality makes it at once our duty and our pleasure to aid the weak who need us and to make them our equals; to pay to the strong a just tribute of gratitude and honour without making ourselves slaves to them; to cherish our neighbors, friends, and equals for what we receive from them, even by right of exchange. Equity is sociability raised to this ideal through reason and justice; its most usual manifestation is urbanity or politeness, which among certain nations sums up in a single word almost all the social duties.
Pierre-Joseph Proudhon
