As soon as a thought or word becomes a tool, one can dispense with actually ‘thinking' it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics-the model of all neo-positivistic thinking-lies in just this ‘intellectual economy.' Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. ... Reason ... becomes a fetish, a magic entity that is accepted rather than intellectually experienced.
Max HorkheimerRelated topics
advantage carry dispense entity fetish formulation intellectual model reason thought thinking word Acts operationsRelated quotes
The method of successive approximations is often applied to proving existence of solutions to various classes of functional equations; moreover, the proof of convergence of these approximations leans on the fact that the equation under study may be majorised by another equation of a simple kind. Similar proofs may be encountered in the theory of infinitely many simultaneous linear equations and in the theory of integral and differential equations. Consideration of semiordered spaces and operations between them enables us to easily develop a complete theory of such functional equations in abstract form.
Leonid Kantorovich
Survival, with honor, that outmoded and all-important word, is as difficult as ever and as all-important to a writer. Those who do not last are always more beloved since no one has to see them in their long, dull, unrelenting, no-quarter-given-and-no-quarter-received, fights that they make to do something as they believe it should be done before they die. Those who die or quit early and easy and with every good reason are preferred because they are understandable and human. Failure and well-disguised cowardice are more human and more beloved.
Ernest Hemingway
To eliminate the discrepancy between men's plans and the results achieved, a new approach is necessary. Morphological thinking suggests that this new approach cannot be realized through increased teaching of specialized knowledge. This morphological analysis suggests that the essential fact has been overlooked that every human is potentially a genius. Education and dissemination of knowledge must assume a form which allows each student to absorb whatever develops his own genius, lest he become frustrated. The same outlook applies to the genius of the peoples as a whole.
Fritz Zwicky
What is a charitable heart? It is a heart which is burning with love for the whole creation, for men, for the birds, for the beasts ... for all creatures. He who has such a heart cannot see or call to mind a creature without his eyes being filled with tears by reason of the immense compassion which seizes his heart; a heart which is softened and can no longer bear to see or learn from others of any suffering, even the smallest pain being inflicted upon a creature. That is why such a man never ceases to pray for the animals ... [He is] ... moved by the infinite pity which reigns in the hearts of those who are becoming united with God.
Isaac the Syrian
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