Basis Quotes - page 40
The above comparison of the domain R of rational numbers with a straight line has led to the recognition of the existence of gaps, of a certain incompleteness or discontinuity of the former, while we ascribe to the straight line completeness, absence of gaps, or continuity. In what then does this continuity consist? Everything must depend on the answer to this question, and only through it shall we obtain a scientific basis for the investigation of all continuous domains.
Richard Dedekind
The statement is so frequently made that the differential calculus deals with continuous magnitude, and yet an explanation of this continuity is nowhere given; even the most rigorous expositions of the differential calculus do not base their proofs upon continuity but, with more or less consciousness of the fact, they either appeal to geometric notions or those suggested by geometry, or depend upon theorems which are never established in a purely arithmetic manner. Among these, for example, belongs the above mentioned theorem, and a more careful investigation convinced me that this theorem, or any one equivalent to it, can be regarded in some way as a sufficient basis for infinitesimal analysis. It then only remained to discover its true origin in the elements of arithmetic and thus at the same time to secure a real definition of the essence of continuity. I succeeded Nov. 24, 1858.
Richard Dedekind
The subject detects the presence and interrelationships of the basic components of one of the two-dimensional drawings - particularly, the variously oriented straight lines, the several types of vertices by which they are connected and, presumably, something of the structural relationships among these components within the two-dimensional pattern. Then, on the basis of some higher-level processing of these extracted features and their interrelationships, an internal representation, code, or verbal description is generated for each picture separately that captures the intrinsic structure of the three-dimensional object in a form that is independent of the particular orientation in which that object happens to be displayed.
Roger Shepard
Anita Sarkeesian: I think it's important to recognize that harassment is, as someone had mentioned, it's not just what is legal and illegal, right? Harassment is threats of violence, but it's also the day to day grind of "you're a liar,” "you suck,” making all these hate videos to attack us on a regular basis, and the mobs that come from those hate videos, etcetra.
Anita Sarkeesian
A number of great factories in the hands of rich capitalists, in which "slaves of work" drag out their miserable existence, is not, therefore, the goal of the development of the age of natural science, but a return to individual labour, or where the nature of things demands it, the carrying on of common workshops by unions of workmen, who will receive a sound basis only through the general extension of knowledge and civilization, and through the possibility of obtaining cheaper capital.
Werner von Siemens
The shrinking of church religion, however, is only one – and the sociologically less interesting – dimension of the problem of secularization. For the analysis of contemporary society another question is more important. What are the dominant values overarching contemporary culture? What is the socio-structural basis of these values and what is their function in the live of contemporary man?
Thomas Luckmann
The practical basis of the medical profession rested on psychology. Everyone felt better when self-confident, expensive experts could be called in to handle a vital emergency. Doctors relieved others of the responsibility for deciding what to do. As such, their role was strictly comparable to that of the priesthood, whose ministrations to the soul relieved anxieties parallel to those relieved by medical ministrations to the body.
William H. McNeill
I share the conviction held by many others that the movement of thought called "symbolism" is of great significance. Not only does this movement cut across the traditional lines of division among philosophers, but it coordinates in a remarkable way the work of linguists, sociologists, psychologists, anthropologists, and biologists, in so far as their work connects with the topic of mind. In the degree that the symbolic movement is significant, a work which develops systematically the basis of the movement, and at the same time applies this analysis to the topic of mind and to certain basic philosophical problems, can at least claim to be an important contribution to critical thought. Whether the claim is substantiated depends, of course, on the quality of the work itself.
Charles W. Morris
Semiotic provides a basis for understanding the main forms of human activity and their interrelationship, since all these activities and relations are reflected in the signs which mediate the activities ... In giving such understanding, semiotic promises to fulfil one of the tasks which traditionally has been called philosophical. Philosophy has often sinned in confusing in its own language the various functions which signs perform. But it is an old tradition that philosophy should aim to give insight into the characteristic forms of human activity and to strive for the most general and the most systematic knowledge possible. This tradition appears in a modern form in the identification of philosophy with the theory of signs and the unification of science, that is, with the more general and systematic aspects of pure and descriptive semiotic.
Charles W. Morris
Why do my YouTube videos get millions of views even though it's just some ranty Northerner sat in front of a world map behind a webcam? It's because people are desperately searching for an alternative. They instinctively know the BBC is bullshitting them. They know that every single story they report is beholden to maintaining the leftist consensus. I mean look at the utter ludicrousness of the "child” migrants who arrived in Croydon. Anyone with functioning brain cells could see these men were not children. Some of them were in their late 30s. The BBC insults our intelligence on a daily basis and only the incredibly naive can't see that at this point. The BBC still absurdly insists it is impartial when it clearly isn't, whereas I am honest, up front and open about my bias. People can see an authenticity in me that the likes of the BBC can never provide.
Paul Joseph Watson
It's a book about the history of the Hindus, from 50 million B. C. E. to the present. It says that there is no evidence that Rama was born in the place that is now known as Ayodhya and there is no evidence that there was a Hindu temple on the spot where the Babur Mosque was. And that there is no evidence that Rama and a bunch of monkeys built a bridge from India to Sri Lanka, as the Hindu Right have claimed. That's just mythology, which is lovely, I've studied it all my life, but you don't legislate on the basis of mythology.
Wendy Doniger
I appeal to the English-speaking people of South Africa not to allow themselves to be hurt, though I can feel their sadness. A framework has fallen away, but what is of greater importance is friendship and getting together as one nation – as white people who have to defend their future together. Now there is a chance of standing together – one free country standing together on a basis which is the desire of friendship with Great Britain.
Hendrik Verwoerd
There is a war, you know, between Cosmos and Chaos, between order and entropy, between reason and unreason. This forms the fundamental basis of existence; I do not see how any victory or lasting peace is possible. The most one can hope for is temporary compromises, temporary armistice. You are not the first victim of this terrible conflict.
John C. Wright
We are continuing our endevours to normalize relations with China on the basis of mutual respect for sovereignty, territorial integrity, and non-interference in each other's internal affairs. We hail the restoration of normal relations between Japan and China and we hope that it will contribute to peace and security in Asia.
Shankar Dayal Sharma
