All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge.
Architecture is a science arising out of many other sciences, and adorned with much and varied learning; by the help of which a judgment is formed of those works which are the result of other arts.
Mathematics - the unshaken Foundation of Sciences, and the plentiful Fountain of Advantage to human affairs.
No one must think that Newton’s great creation can be overthrown in any real sense by this [Theory of Relativity] or by any other theory. His clear and wide ideas will for ever retain their significance as the foundation on which our modern conceptions of physics have been built.
"Normal science" means research firmly based upon one or more past scientific achievements, achievements that some particular scientific community acknowledges for a time as supplying the foundation for its further practice.
Science was born as a result and consequence of philosophy; it cannot survive without a philosophical base. If philosophy perishes, science will be next to go.
Precisely because Marx was convinced that the cause of the proletariat was of decisive importance for the whole future of mankind, he wanted to create for that cause not a flimsy platform of rhetorical invective or wishful thinking, but the rock-like foundation of scientific truth.
The assumption of an absolute determinism is the essential foundation of every scientific enquiry.
Science already contained all that was necessary, if you just brought it out.
I could never have gone far in any science because on the path of every science the lion Mathematics lies in wait for you.
You make sure you broaden yourself and have a good solid background in many different things. That's what you need to be a good scientist.
If there is no fundamental science then there is no basis for applied science. We have to strike a balance. 23 years ago the World Wide Web was born here. It has changed the world dramatically.
Those who become enamoured of the art, without having previously applied to the diligent study of the scientific part of it, may be compared to mariners who put to the sea in a ship without rudder or compass and therefore cannot be certain of arriving at the wished for port.
In almost all sciences the fundamental knowledge is either found in earliest times or is still being sought.
In truth, the laboratory is the forecourt of the temple of philosophy, and whoso has not offered sacrifices and undergone purification there has little chance of admission into the sanctuary.
Science has sometimes been said to be opposed to faith, and inconsistent with it. But all science, in fact, rests on a basis of faith, for it assumes the permanence and uniformity of natural laws - a thing which can never be demonstrated.
Let no one ignorant of Mathematics enter here.
No single achievement in science is possible without the painstaking work of the many hundreds who have built the foundation on which all new work is based.
Learn the ABC of science before you try to ascend to its summit.
We now witness the constructive work on a foundation that will endure through the ages. That foundation is the god of science - revealed to us in terms that will harmonize with our intelligence.
If you don't invest in basic research at some stage you start losing the basis of applied research.
Dad claims that library science is the foundation of all sciences just as math is the key -- and we will survive or founder, depending on how well the librarians do their jobs. Librarians didn't look glamorous to me but maybe Dad had hit on a not very obvious truth.
