We wish to see... the typical attitude of the scientist who uses mathematics to understand the world around us. ...In the solution of a problem ...there are typically three phases. The first phase is entirely or almost entirely a matter of physics; the third, a matter of mathematics; and the intermediate phase, a transition from physics to mathematics. The first phase is the formulation of the physical hypothesis or conjecture; the second, its translation into equations; the third, the solution of the equations. Each phase calls for a different kind of work and demands a different attitude.
George PólyaRelated topics
almost attitude conjecture different formulation hypothesis intermediate kind mathematics matter phase physical physics problem scientist second see solution third three transition translation typical wish work world usesRelated quotes
Every Christian should find for himself the imperative and incentive to become holy. If you live without struggle and without hope of becoming holy, then you are Christians only in name and not in essence. But without holiness, no one shall see the Lord, that is to say they will not attain eternal blessedness. It is a trustworthy saying that Jesus Christ came into the world to save sinners (I Tim. 1:15). But we deceive ourselves if we think that we are saved while remaining sinners. Christ saves those sinners by giving them the means to become saints.
Philaret Drozdov
It is a fearful thing to hate whom God hath loved. To look upon another-his weaknesses, his sins, his faults, his defects is to look upon one who is suffering. He is suffering from negative passions, from the same sinful human corruption from which you yourself suffer. This is very important: do not look upon him with judgmental eyes of comparison, noting the sins you assume you'd never commit. Rather, see him as a fellow sufferer, a fellow human being who is in need of the very healing of which you are in need. Help him, love him, pray for him do unto him as you would have him do unto you.
Tikhon of Zadonsk
"Your concept is a tremendous network of inconsistencies.”
"In what way?” the countess said, not very much interested.
"It seems to be based on reverence for the young, and an extremely patient and protective attitude toward their physical and mental welfare. Yet you make them live in these huge caves, utterly out of contact with the natural world, and you teach them to be afraid of death-which of course makes them a little insane, because there is nothing anybody can do about death. It is like teaching them to be afraid of the second law of thermodynamics, just because living matter sets that law aside for a very brief period.
James Blish
Perhaps the greatest of the many fundamental changes which are inevitable for the man who studies the facts of life is that which is produced in his attitude towards death. This matter has been fully treated elsewhere; here I need state only that the knowledge of the truth about death robs it of all its terror and much of its sorrow, and enables us to see it in its true proportion and to understand its place in the scheme of our evolution. It is perfectly possible to learn to know about all these things instead of accepting beliefs blindly at second-hand, as most people do; and knowledge means power, security and happiness.
Charles Webster Leadbeater
There cannot be a greater mistake than that of looking superciliously upon the practical applications of science. The life and soul of science is its practical application; and just as the great advances in mathematics have been made through the desire of discovering the solution of problems which were of a highly practical kind in mathematical science, so in physical science many of the greatest advances that have been made from the beginning of the world to the present time have been made in earnest desire to turn the knowledge of the properties of matter to some purpose useful to mankind.
William Thomson
