A Quote by Ivor Grattan-Guinness
Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists.
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The fact is there are few more popular subjects than mathematics. Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune.
Our teaching of mathematics revolves around a fundamental conflict. Rightly or wrongly, students are required to master a series of mathematical concepts and techniques, and anything that might divert them from doing so is deemed unnecessary. Putting mathematics into its cultural context, explaining what is has done for humanity, telling the story of its historical development, or pointing out the wealth of unsolved problems or even the existence of topics that do not make it into school textbooks leaves less time to prepare for the exam. So most of these things aren't discussed.
Where there is the tree of knowledge, there is always Paradise: so say the most ancient and most modern serpents.
The goal of providing basic literacy and education to all the world's people is still the most basic development challenge.
It is easy to see, though it scarcely needs to be pointed out, since it is involved in the fact that Reason is set aside, that faith is not a form of knowledge; for all knowledge is either a knowledge of the eternal, excluding the temporal and historical as indifferent, or it is pure historical knowledge. No knowledge can have for its object the absurdity that the eternal is the historical.
My basic idea is that programming is the most powerful medium of developing the sophisticated and rigorous thinking needed for mathematics, for grammar, for physics, for statistics, for all the "hard" subjects.... In short, I believe more than ever that programming should be a key part of the intellectual development of people growing up.
Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity
You all know that even when women have full rights, they still remain fatally downtrodden because all housework is left to them. In most cases housework is the most unproductive, the most barbarous and the most arduous work a woman can do. It is exceptionally petty and does not include anything that would in any way promote the development of the woman.
I have a true aversion to teaching. The perennial business of a professor of mathematics is only to teach the ABC of his science; most of the few pupils who go a step further, and usually to keep the metaphor, remain in the process of gathering information, become only Halbwisser [one who has superficial knowledge of the subject], for the rarer talents do not want to have themselves educated by lecture courses, but train themselves. And with this thankless work the professor loses his precious time.
When I wrote 'The Alexandria Link,' I discovered that we are only aware of about 10 percent of the knowledge of the ancient world. In the ancient world, most of the knowledge was destroyed. Every emperor of China who came in wiped out everything that came before them, to the point that the country completely forgot its past.
We inhabit an obscure planet, in an obscure galaxy, around an obscure sun, but on the other hand, modern human society represents one of the most complex things we know.
Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.
Einstein and the Quantum is delightful to read, with numerous historical details that were new to me and cham1ing vignettes of Einstein and his colleagues. By avoiding mathematics, Stone makes his book accessible to general readers, but even physicists who are well versed in Einstein and his physics are likely to find new insights into the most remarkable mind of the modern era.
The latest authors, like the most ancient, strove to subordinate the phenomena of nature to the laws of mathematics.
Despite recent sad developments, cricket will survive and remain our most noble game and I shall always remain proud of the part I played in its history and development.
Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical text, one can get an output text which seemingly carries new knowledge. The basic examples are furnished by scientific or technological calculations: general laws plus initial conditions produce predictions, often only after time-consuming and computer-aided work. One can say that the input contains an implicit knowledge which is thereby made explicit.
