A Quote by James Joseph Sylvester
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these have no more real bearing on the matter than those employed in genealogical tables have in explaining the laws of procreation.
Related Quotes
Today this is what we are confronted with, I mean what is pure ideology, which takes no account of the human context. In economics it's the same. Economics wanted to take into account theory over and above human criteria, or the parameter 'man'.
During all those years of experimentation and research, I never once made a discovery. All my work was deductive, and the results I achieved were those of invention, pure and simple. I would construct a theory and work on its lines until I found it was untenable. Then it would be discarded at once and another theory evolved. This was the only possible way for me to work out the problem.
No matter what his position or experience in life, there is in everyone more latent than developed ability; far more unused than used power.
Evolutionary theory has nothing to say, in general, as to whether cheating is more advantageous than cooperating. There are many circumstances in which the contrary would be true, and empirical evidence, though it exists, has little bearing on real situations.
A geometrical theory in physical interpretation can never be validated with mathematical certainty ... ; like any other theory of empirical science, it can acquire only a more or less high degree of confirmation.
Pure geometrical regularity gives a certain pleasure to men troubled by the obscurity of outside appearance. The geometrical line is something absolutely distinct from the messiness, the confusion, and the accidental details of existing things.
The true Logic for this world is the Calculus of Probabilities, which takes account of the magnitude of the probability.
A man's wits are better employed in bearing up under the misfortunes that lie upon him at present than in foreseeing those that may come upon him hereafter.
Only the heart knows the correct answer. Most people think the heart is mushy and sentimental. But it's not. The heart is intuitive; it's holistic, it's contextual, it's relational. It doesn't have a win-lose orientation. It taps into the cosmic computer - the field of pure potentiality, pure knowledge, and infinite organizing power - and takes everything into account. At times it may not even seem rational, but the heart has a computing ability that is far more accurate and far more precise than anything within the limits of rational thought.
In my walks of life, I've understood that it takes more than one person to think of achieving a goal, and it takes more than one or two players, to get you out of the position you're in.
Notice, by extension, that in a democracy those committed to non-procreation could never, in the long run, prevail politically against those committed to procreation.
Define self-awareness and tell me what it is about it that requires something more than a material explanation. I do not accept the burden of explaining all phenomena, real or imagined. If you think more than matter is required for this thing you call self-awareness, which you have not defined, then you have the burden of showing why.
Rhetoric takes no real account of the art in literature and morality takes no account of the art in life.
Those of us raised in modern cities tend to notice horizontal and vertical lines more quickly than lines at other orientations. In contrast, people raised in nomadic tribes do a better job noticing lines skewed at intermediate angles, since Mother Nature tends to work with a wider array of lines than most architects.
...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
I think the next [21st] century will be the century of complexity. We have already discovered the basic laws that govern matter and understand all the normal situations. We don't know how the laws fit together, and what happens under extreme conditions. But I expect we will find a complete unified theory sometime this century. The is no limit to the complexity that we can build using those basic laws.
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