A Quote by H. David Burton
However gemlike mathematical truths may be, research is but a human endeavor.
Related Quotes
There are several kinds of truths, and it is customary to place in the first order mathematical truths, which are, however, only truths of definition. These definitions rest upon simple, but abstract, suppositions, and all truths in this category are only constructed, but abstract, consequences of these definitions ... Physical truths, to the contrary, are in no way arbitrary, and do not depend on us.
There should be no boundaries to human endeavor. However bad life may seem, there is always hope.
You're trying to form this human being that will fit the bill, and the human being becomes a hand, and the research is a glove, and you try to bring this character together into the research, mesh it, and create this person that is the sum total of all that endeavor.
The arts often realize human truths well before other branches of human endeavor.
Everything that the human race has done and thought is concerned with the satisfaction of deeply felt needs and the assuagement of pain. One has to keep this constantly in mind if one wishes to understand spiritual movements and their development. Feeling and longing are the motive force behind all human endeavor and human creation, in however exalted a guise the latter may present themselves to us.
Every human endeavor, however singular it seems, involves the whole human race.
I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.
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.
I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research.
Mathematical study and research are very suggestive of mountaineering. Whymper made several efforts before he climbed the Matterhorn in the 1860's and even then it cost the life of four of his party. Now, however, any tourist can be hauled up for a small cost, and perhaps does not appreciate the difficulty of the original ascent. So in mathematics, it may be found hard to realise the great initial difficulty of making a little step which now seems so natural and obvious, and it may not be surprising if such a step has been found and lost again.
It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and throw themselves out for actual use, views are likely to be induced, which should again react on the more theoretical phase of the subject.
The main condition is that the spiritual ear should be open to overhear and patiently take in, and the will ready to obey that testimony which, I believe, God bears in every human heart, however dull, to those great truths which the Bible reveals. This, and not logic, is the way to grow in religious knowledge, to know that the truths of religion are not shadows, but deep realities.
Mathematical demonstrations being built upon the impregnable Foundations of Geometry and Arithmetick are the only truths that can sink into the Mind of Man, void of all Uncertainty; and all other Discourses participate more or less of Truth according as their Subjects are more or less capable of Mathematical Demonstration.
I believe that no one who is familiar, either with mathematical advances in other fields, or with the range of special biological conditions to be considered, would ever conceive that everything could be summed up in a single mathematical formula, however complex.
So multifarious are the different classes of truths, and so multitudinous the truths in each class, that it may be undoubtingly affirmed that no man has yet lived who could so much as name all the different classes and subdivisions of truths, and far less anyone who was acquainted with all the truths belonging to any one class. What wonderful extent, what amazing variety, what collective magnificence! And if such be the number of truths pertaining to this tiny ball of earth, how must it be in the incomprehensible immensity!
We must learn to recognize nature's truths even though we don't understand them, for some of those truths may still be beyond the ability of the human mind to comprehend. What we need is a compound prescription of humility, imagination, devotion to the truth and, above all, confidence in the eternal wisdom of nature.
