Whether in number theory, or space-time cosmology, Gödel's method was to advance the formalization of the system under consideration and then test it to destruction upon the ‘strange loops' it generated (paradoxes of self-reference and time-travel). In each case, the system was shown to permit cases that it could not consistently absorb, opening it to an interminable process of revision, or technical improvement. It thus defined dynamic intelligence, or the logic of evolutionary imperfection, with an adequacy that was both sufficient and necessarily inconclusive. What it did not do was trash the very possibility of arithmetic, mathematical logic, or cosmic history - except insofar as these were falsely identified with idols of finality or closure.
Nick LandRelated topics
adequacy advance arithmetic case closure cosmology dynamic finality history improvement intelligence interminable number possibility revision show strange technical thus under space-timeRelated quotes
It is difficult to pronounce on the opinion of the ministers of our Church as a body: one portion of them, by far the least informed, protests against anything which can advance the honour and the interests of science, because, in their limited and mistaken view, science is adverse to religion. This is not the place to argue that great question. It is sufficient to remark, that the best-informed and most enlightened men of all creeds and pursuits, agree that truth can never damage truth, and that every truth is allied indissolubly by chains more or less circuitous with all other truths; whilst error, at every step we make in its diffusion, becomes not only wider apart and more discordant from all truths, but has also the additional chance of destruction from all rival errors.
Charles Babbage
I think any such analysis must take into account the intelligence of the people. People's ability to understand the arithmetic and the logic behind the coming together of the Mahamilawat (great contamination) parties should never be underestimated. People know exactly why they are coming together, no matter how much these parties themselves try to mislead. There was a time when many different parties did come together to fight an election. This was the Emergency era when survival of our democracy was first priority. So, when many parties united, there was a clear issue that brought them together in national interest and people blessed them. What is the uniting factor for the Mahamilawat now? Personal survival and personal interest. People are aware of this and will reject such opportunism.
Narendra Modi
It is a strange irony, but no small compensation, that the making of weapons of destruction should afford the occasion to humanise industry. Yet such is the case. Old prejudices have vanished, new ideas are abroad; employers and workers, the public and the State, are favourable to new methods. This opportunity must not be allowed to slip. It may well be that, when the tumult of war is a distant echo, and the making of munitions a nightmare of the past, the effort now being made to soften asperities, to secure the welfare of the workers, and to build a bridge of sympathy and understanding between employer and employed, will have left behind results of permanent and enduring value to the workers, to the nation and to mankind at large.
David Lloyd George
How could such industries as software, semiconductors, and computers have been so innovative despite historically weak patent protection? We argue that if innovation is both sequential and complementary-as it certainly has been in those industries-competition can increase firms' future profits thus offsetting short-term dissipation of rents. A simple model also shows that in such a dynamic industry, patent protection may reduce overall innovation and social welfare. The natural experiment that occurred when patent protection was extended to software in the 1980's provides a test of this model. Standard arguments would predict that R&D intensity and productivity should have increased among patenting firms.
Eric Maskin
Avoiding all control, I spread out sheets of white paper or canvas in the nature. For some time they stay in the grass, in the rushes of river, in the meadows or among the rocks. Nature registers its presence, covering the surface of the paper with colors, forms and tracks. This process is controlled by a number of agents; such as space and time, substance and causality. It is governed by nature's intensity. It does not, depend on man's interference. Nature is the greatest and most admirable creator, and unlike logic it doesn't fail. The artist obligation is not to shape - handicraft, but to understand the riddles of reality. In such conception of Art there lies, as in the Universe itself, an immense richness, and a countless variety of forms.
Jacek Tylicki