A Quote by Yuri Manin

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.
I think the most important work that is going on has to do with the search for very general and abstract features of what is sometimes called universal grammar: general properties of language that reflect a kind of biological necessity rather than logical necessity; that is, properties of language that are not logically necessary for such a system but which are essential invariant properties of human language and are known without learning. We know these properties but we don't learn them. We simply use our knowledge of these properties as the basis for learning.
The fact that these scientific theories have a fine track record of successful prediction and explanation speaks for itself. (Which is not to say that I don't directly discuss the work of those philosophers who would disagree.) But even if we grant this, many will argue that scientific knowledge in humans, and, indeed, reflective knowledge in general, is quite different in kind from the knowledge we see in other animals.
The discourse on the Text should itself be nothing other than text, research, textual activity, since the Text is that social space which leaves no language safe, outside, nor any subject of the enunciation in position as judge, master, analyst, confessor, decoder. The theory of the Text can coincide only with a practice of writing.
Text input is certainly useful, but images and speech are a much more natural way for humans to express their queries. Infants learn to see and speak well before they learn to type. The same is true of human evolution - we've had spoken language for a long time compared to written language, which is a relatively recent development.
All we can say is that, as the result of a process which went on from the fourth century to about the eighth, a standard type of text was produced, which is found in the vast majority of the manuscripts that have come down to us. At least ninety-six per cent of the extant manuscripts of the Greek New Testament are later than the eighth century; and of those only a handful preserve traces of the other types of text which were in existence before the adoption of the standard text, and out of which it was created.
Whether you're Godard or Almodovar or Scorsese, it's text, text, text. Everything begins with the text, and this is a source of great anguish to me. So please let cinema get on with doing what it does best, which is expressing ideas in visual terms.
In mysticism, knowledge cannot be separated from a certain way of life which becomes its living manifestation. To acquire mystical knowledge means to undergo a transformation; one could even say that the knowledge is the transformation. Scientific knowledge, on the other hand, can often stay abstract and theoretical. Thus most of today’s physicists do not seem to realize the philosophical, cultural and spiritual implications of their theories.
The totality of our so-called knowledge or beliefs, from the most casual matters of geography and history to the profoundest laws of atomic physics or even of pure mathematics and logic, is a man-made fabric which impinges on experience only along the edges. Or, to change the figure, total science is like a field of force whose boundary conditions are experience.
Mathematics is not only real, but it is the only reality. That is that entire universe is made of matter, obviously. And matter is made of particles. It's made of electrons and neutrons and protons. So the entire universe is made out of particles. Now what are the particles made out of They're not made out of anything. The only thing you can say about the reality of an electron is to cite its mathematical properties. So there's a sense in which matter has completely dissolved and what is left is just a mathematical structure.
The life and soul of science is its practical application, and just as the great advances in mathematics have been made through the desire of discovering the solution of problems which were of a highly practical kind in mathematical science, so in physical science many of the greatest advances that have been made from the beginning of the world to the present time have been made in the earnest desire to turn the knowledge of the properties of matter to some purpose useful to mankind.
The sovereignty of the States is the language of the Confederacy and not the language of the Constitution. The latter contains the emphatic words. This Constitution and the laws of the United States which shall be made in pursuance thereof and all treaties made or which shall be made under the authority of the United States, shall be the supreme law of the land and the judges in every State shall be bound thereby, anything in the constitution or laws of any State to the contrary notwithstanding
Social organizations are flagrantly open systems in that the input of energies and the conversion of output into further energetic input consists of transactions between the organization and its environment.
A computer is a machine for constructing mappings from input to output.
We must be forewarned that only rarely does a text easily lend itself to the reader's curiosity... the reading of a text is a transaction between the reader and the text, which mediates the encounter between the reader and writer. It is a composition between the reader and the writer in which the reader "rewrites" the text making a determined effort not to betray the author's spirit.
Until very recently, most knowledge was inaccessible to people who couldn't read text. But this is changing. The computer opens up other channels of gaining knowledge. If someone is blind, we now have very good machines that will read to him. If someone can't recognize letters, he also will have access to knowledge through sound and images.
Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
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