A Quote by Giuseppe Peano
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.
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There is something false in this search for a purely feminine writing style. Language, such as it is, is inherited from a masculine society, and it contains many male prejudices. We must rid language of all that. Still, a language is not something created artificially; the proletariat can't use a different language from the bourgeoisie, even if they use it differently, even if from time to time they invent something, technical words or even a kind of worker's slang, which can be very beautiful and very rich. Women can do that as well, enrich their language, clean it up.
I became a fierce advocate for gentle birth as a solution for the most pressing problems of our times - a solution that begins at the source.
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.
sentences were used by man before words and still come with the readiness of instinct to his lips. They, and not words, are the foundations of all language. ... Your cat has no words, but it has considerable feeling for the architecture of the sentence in relation to the problem of expressing climax.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.
Although I am even now still a layman in the area of mathematics, and although I lack theoretical knowledge, the mathematicians, and in particular the crystallographers, have had considerable influence on my work of the last twenty years. The laws of the phenomena around us--order, regularity, cyclical repetition, and renewals--have assumed greater and greater importance for me. The awareness of their presence gives me peace and provides me with support. I try in my prints to testify that we live in a beautiful and orderly world, and not in a formless chaos, as it sometimes seems.
The law is more easily understood by few than many words. For all words are subject to ambiguity, and therefore multiplication of words in the body of the law is multiplication of ambiguity. Besides, it seems to imply (by too much diligence) that whosoever can evade the words is without the compass of the law.
The research carried out in the area of language technology is of utmost importance for the consolidation of Portuguese as a language of global communication in the information society.
I consider what I do on Deadspin to be based in the foundations of journalism, yes, based on the foundations of journalism that I have been trained and that I certainly use when I write for GQ and The New York Times and so on. Certainly, I think the language can be a little looser on the web, but I am held to the same standards and accuracy everyone else is.
What are your fees?" inquired Guyal cautiously. "I respond to three questions," stated the augur. "For twenty terces I phrase the answer in clear and actionable language; for ten I use the language of cant, which occasionally admits of ambiguity; for five, I speak a parable which you must interpret as you will; and for one terce, I babble in an unknown tongue.
I thought why not write a kind of mystery, murder, thriller book, but use romance language where the language plays completely against the very dark subject matter, that very strange murderous plot, but use that Harlequin Romance language.
But actually a code is a language for translating one thing into another. And mathematics is the language of science. My big thesis is that although the world looks messy and chaotic, if you translate it into the world of numbers and shapes, patterns emerge and you start to understand why things are the way they are.
Only in very recent times has the average man been a source of savings.
The ideal trademark is one that is pushed to its utmost limits in terms of abstraction and ambiguity, yet is still readable.
The history of mathematics, lacking the guidance of philosophy, [is] blind, while the philosophy of mathematics, turning its back on the most intriguing phenomena in the history of mathematics, is empty.
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