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Stanislaw Ulam

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I am turned off when I see only formulas and symbols, and little text.
--
Chapter 15, Random Reflections on Mathematics and Science, p. 275

 
Stanislaw Ulam

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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.

 
Roland Barthes
 

The process by means of which human beings can arbitrarily make certan things stand for other things may be called the symbolic process. Whenever two or more human beings can communicate with each other, they can, by agreement, make anything stand for anything. For example, here are two symbols:
      X      Y
We can agree to let X stand for buttons and Y for bows; then we can freely change our agreement and let X stand for [...] North Korea, and Y for South Korea. We are, as human beings, uniquely free to manufacture and manipulate and assign values to our symbols as we please. Indeed, we can go further by making symbols that stand for symbols. [...] This freedom to create symbols of any assigned value and to create symbols that stand for symbols is essential to what we call the symbolic process.

 
S. I. Hayakawa
 

The familiar proposition that all A is B, and all B is C, and therefore all A is C, is contracted in its domain by the substitution of significant words for the symbolic letters. The A, B, and C, are subject to no limitation for the purposes and validity of the proposition ; they may represent not merely the actual, but also the ideal, the impossible as well as the possible. In Algebra, likewise, the letters are symbols which, passed through a machinery of argument in accord ance with given laws, are developed into symbolic results under the name of formulas. When the formulas admit of intelligible interpretation, they are accessions to knowledge; but independently of their interpretation they are invaluable as symbolical expressions of thought. But the most noted instance is the symbol called the impossible or imaginary, known also as the square root of minus one, and which, from a shadow of meaning attached to it, may be more definitely distinguished as the symbol of semi-inversion. This symbol is restricted to a precise signification as the representative of perpendicularity in quaternions, and this wonderful algebra of space is intimately dependent upon the special use of the symbol for its symmetry, elegance, and power.

 
Benjamin Peirce
 

Interpretation thus presupposes a discrepancy between the clear meaning of the text and the demands of (later) readers. It seeks to resolve that discrepancy. The situation is that for some reason a text has become unacceptable; yet it cannot be discarded. Interpretation is a radical strategy for conserving an old text, which is thought too precious to repudiate, by revamping it. The interpreter, without actually erasing or rewriting the text, is altering it. But he can’t admit to doing this. He claims to be only making it intelligible, by disclosing its true meaning.

 
Susan Sontag
 

In fact a man in love or one consumed with hatred creates symbols for himself, as a superstitious man does, from a passion of conferring uniqueness on things or persons. A man who knows nothing of symbols is one of Dante's sluggards. This is why art mirrors itself in primitive rites or strong passions, seeking for symbols, revolving round the primitive taste for savagery, for what is irrational (blood and sex).

 
Cesare Pavese
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