It has been said, that the principle involved in the above and in similar applications is that of the equal distribution of our knowledge, or rather of our ignorance the assigning to different states of things of which we know nothing, and upon the very ground that we know nothing, equal degrees of probability. I apprehend, however, that this is an arbitrary method of procedure. Instances may occur, and one such has been adduced, in which different hypotheses lead to the same final conclusion.
George BooleRelated topics
above arbitrary assigning conclusion different distribution equal final ground hypothesis ignorance knowledge lead method nothing principle probability procedure say similar things statesRelated quotes
In a really equal democracy, every or any section would be represented, not disproportionately, but proportionately. ... Unless they are, there is not equal government, but a government of inequality and privilege: one part of the people rule over the rest: there is a part whose fair and equal share of influence in the representation is withheld from them, contrary to all just government, but, above all, contrary to the principle of democracy, which professes equality as its very root and foundation.
John Stuart Mill
There are two threats to reason, the opinion that one knows the truth about the most important things and the opinion that there is no truth about them. Both of these opinions are fatal to philosophy; the first asserts that the quest for truth is unnecessary, while the second asserts that it is impossible. The Socratic knowledge of ignorance, which I take to be the beginning point of all philosophy, defines the sensible middle ground between two extremes.
Allan Bloom
The nude gains its enduring value from the fact that it reconciles several contrary states. It takes the most sensual and immediately interesting object, the human body, and puts it out of reach of time and desire; it takes the most purely rational concept of which mankind is capable, mathematical order, and makes it a delight to the senses; and it takes the vague fears of the unknown and sweetens them by showing that the gods are like men and may be worshiped for their life-giving beauty rather than their death-dealing powers.
Kenneth Clark
In asking forgiveness of women for our mythologizing of their bodies, for being unreal about them, we can only appeal to their own sexuality, which is different but not basically different, perhaps, from our own. For women, too, there seems to be that tangle of supplication and possessiveness, that descent toward infantile undifferentiation, that omnipotent helplessness, that merger with the cosmic mother-warmth, that flushed pulse-quickened leap into overestimation, projection, general mix-up.
John Updike
Philosophy is written in this grand book, which stands continually open before our eyes (I say the 'Universe'), but can not be understood without first learning to comprehend the language and know the characters as it is written. It is written in mathematical language, and its characters are triangles, circles and other geometric figures, without which it is impossible to humanly understand a word; without these one is wandering in a dark labyrinth.
Galileo Galilei
