In a strict usage the same symbol should never represent the act of sincerely asserting something and the content of what is asserted. For the symbol… - Michael Polanyi

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In a strict usage the same symbol should never represent the act of sincerely asserting something and the content of what is asserted. For the symbolic distinction between the two, Frege has introduced the 'signpost' symbol. ... <math>\vdash</math> p is to signify the actual assertion of p, while the bare symbol p must henceforth be used only as part of a sentence. ... It should be clear from the modality of a sentence whether it is a question, a command, an invective, a complaint or an allegation of fact.

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About Michael Polanyi

Michael Polanyi (March 11, 1891 – February 22, 1976), born Polányi Mihály, was a Hungarian–British polymath whose thought and work extended across physical chemistry, economics, and philosophy. He was a Fellow of the Royal Society and a Fellow of Merton College, Oxford.

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Alternative Names: Mihály Polányi
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To learn by example is to submit to authority. ...By watching the master and emulating his efforts in the presence of his example, the apprentice unconsciously picks up the rules of the art, including those which are not explicitly known to the master himself. These hidden rules can be assimilated only by a person who surrenders himself to that extent uncritically to the imitation of another. A society which wants to preserve a fund of personal knowledge must submit to tradition. ...Common Law ...is the most important system of strictly traditional activities.

The recognition of certain basic impossibilities has laid the foundations of some major principles of physics and chemistry; similarly, recognition of the impossibility of understanding living things in terms of physics and chemistry, far from setting limits to our understanding of life, will guide it in the right direction. And even if the demonstration of this impossibility should prove of no great advantage in the pursuit of discovery, such a demonstration would help to draw a truer image of life and man than that given us by the present basic concepts of biology.

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Ever since [Copernicus], writers eager to drive the lesson home have urged us [...] to abandon all sentimental egoism, and to see ourselves objectively in the true perspective of time and space. What precisely does this mean? In a full 'main feature' film, recapitulating faithfully the complete history of the universe, the rise of human beings from the first beginnings of man to the achievements of the twentieth century would flash by in a single second. Alternatively, if we decided to examine the universe objectively in the sense of paying equal attention to portions of equal mass, this would result in a lifelong preoccupation with interstellar dust, relieved only at brief intervals by a survey of incandescent masses of hydrogen — not in a thousand million lifetimes would the turn come to give man even a second's notice. It goes without saying that no one — scientists included — looks at the universe in this way, whatever lip-service is given to 'objectivity.'

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