A Quote by Auguste Comte

Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge.

Auguste Comte

Quote Topics

Analysis Basis Knowledge Mathematical Mathematical Analysis Our Positive Rational System True Whole

Quote Author

Auguste Comte
French - Sociologist
January 19, 1798 - September 5, 1857

In engineering, as in other creative arts, we must learn to do analysis to support our efforts in synthesis. One cannot build a beautiful and functional bridge without a knowledge of steel and dirt, and a considerable mathematical technique for using this knowledge to compute the properties of structures. Similarly, one cannot build a beautiful computer system without a deep understanding of how to "previsualize" the process generated by the code one writes.

Gerald Jay Sussman

If we did not have a patent system, it would be irresponsible, on the basis of our present knowledge of its economic consequences, to recommend instituting one. But since we have had a patent system for a long time, it would be irresponsible, on the basis of our present knowledge, to recommend abolishing it.

Fritz Machlup

Why are we so addicted to factual knowledge? Why are we so uncomfortable with the unknown? Is it something about the anxiety of our time? Because of course that wasn't always the way. Even now the whole idea of the rational individual has been subject to question and yet we still cling to this idea of factual, rational knowledge being more valuable than whatever its opposite might be.

Nicole Krauss

The whole basis of the Constitution was a restriction of power, and the whole basis of the federalist system was that there was not one sovereign centralized power from which all authority flows.

Roy Moore

... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.

Bertrand Russell

If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.

George Dantzig

Respecting beings, places, and life ways would be a basis for a worthy systemic analysis. And such an analysis would be inherently conservative, assuming that technology - from the fire stick to the silicon chip - is apt to do more harm to the Whole than good.

Stephanie Mills

Buddhist epistemologists do argue that rational analysis leads to the conclusion that rational analysis cannot give us infallible access to truth, including that one. That's not self-defeating, though; it only induces an important kind of epistemic humility and a clearer view of what we do when we reason. We engage in one more fallible human activity among many.

Jay L. Garfield

There are good reasons to believe in God, including the existence of mathematical principles and order in creation. They are positive reasons, based on knowledge, rather than default assumptions based on a temporary lack of knowledge.

Francis Collins

During the last two centuries and a half, physical knowledge has been gradually made to rest upon a basis which it had not before. It has become mathematical. The question now is, not whether this or that hypothesis is better or worse to the pure thought, but whether it accords with observed phenomena in those consequences which can be shown necessarily to follow from it, if it be true

Augustus De Morgan

Self-knowledge is the only basis of true knowledge.

John Taylor Gatto

We have heard of a Society for the Diffusion of Useful Knowledge. It is said that knowledge is power, and the like. Methinks there is equal need of a Society for the Diffusion of Useful Ignorance, what we will call Beautiful Knowledge, a knowledge useful in a higher sense: for what is most of our boasted so-called knowledge but a conceit that we know something, which robs us of the advantage of our actual ignorance? What we call knowledge is often our positive ignorance; ignorance our negative knowledge.

Henry David Thoreau

From a mathematical standpoint it is possible to have infinite space. In a mathematical sense space is manifoldness, or combinations of numbers. Physical space is known as the 3-dimension system. There is the 4-dimension system, the 10-dimension system.

Charles Proteus Steinmetz

It is interesting thus to follow the intellectual truths of analysis in the phenomena of nature. This correspondence, of which the system of the world will offer us numerous examples, makes one of the greatest charms attached to mathematical speculations.

Pierre-Simon Laplace

We call our intuition our sixth sense, but in reality it would be called our first sense, because it's rooted in quantum nature of reality. It was around long before our solar system and our planetary system were even formulated or even organized. It is at the basis of how our normal sensing works. So instead of being our sixth sense or even â€" using the parapsychological term â€" "extrasensory perception," it's not. It's at the basis of our perception, and that's the quantum world.