Brook Taylor... in his Methodus Incrementorum Directa et Inversa (1715), sought to clarify the ideas of the calculus but limited himself to algebraic functions and algebraic differential equations. ...Taylor's exposition, based on what we would call finite differences, failed to obtain many backers because it was arithmetical in nature when the British were trying to tie the calculus to geometry or to the physical notion of velocity.
Morris KlineRelated topics
brook calculus call differential exposition geometry limited nature seek tie trying velocity taylorRelated quotes
Outward, thanks to the knowledge of physical laws, man could subdue (or subjugate...) nature, but inwardly, he remained a slave to it. For, when all is said and done, at what is aiming all this display (or deployment) of activity, if not to realized outward profits, to provide material pleasure (or enjoyment). It is not the first time that men sell their birth right for a dish of lentils, and thus disown (or repudiate or deny) the best of thmeselves.
African Spir
Reason cannot desire for man any condition other than that in which not only every individual enjoys the most absolute, unbounded freedom to develop himself out of himself, in true individuality, but in which physical nature, as well, need receive no other shaping by human hands than that which is given to her voluntarily by each individual, according to the measure of his wants and his inclinations, restricted only by the limits of his energy and his rights.
Wilhelm von Humboldt
At this point, an urgent question arises:... Is it our duty to seek to become a thorough and complete human being, one quite sufficient unto himself; or, on the contrary, to be only a part of a whole, the organ of an organism? Briefly, is the division of labor, at the same time that it is a law of nature, also a moral rule of human conduct; and, if it has this latter character, why and in what degree?
Émile Durkheim
You see, cuckoos are parasites. They lay their eggs in other birds' nests. When the egg hatches, the baby cuckoo pushes the other baby birds out of the nest. The poor parent birds work themselves to death trying to find enough food to feed the enormous cuckoo child who has murdered their babies and taken their places."
"Enormous? Did you just call me fat?"
"It was an analogy."
"I am not fat.
Cassandra Clare
Three principles - the conformability of nature to herself, the applicability of the criterion of simplicity, and the "unreasonable effectiveness" of certain parts of mathematics in describing physical reality - are thus consequences of the underlying law of the elementary particles and their interactions. Those three principles need not be assumed as separate metaphysical postulates. Instead, they are emergent properties of the fundamental laws of physics.
Murray Gell-Mann