Source: Lateral Thinking : Creativity Step by Step (1970), p. 29.
Context: With vertical thinking one may look for different approaches until one finds a promising one. With lateral thinking one goes on generating as many approaches as one can even after one has found a promising one. With vertical thinking one is trying to select the best approach but with lateral thinking one is generating different approaches for the sake of generating them.
“[S]ymbols have a reach and a roundness that goes beyond their literal and practical meaning. They are the rich concepts under which the mind gathers many particulars into one name, and many instances into one general induction.”
"The Reach of Imagination" (1967)
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Jacob Bronowski 79
Polish-born British mathematician 1908–1974Related quotes
[4] Symbol
Semiotics and the Philosophy of Language (1984)
Context: What is a symbol? Etymologically speaking, the word σύμβολον comes from σνμβάλλω, to throw-with, to make something coincide with something else: a symbol was originally an identification mark made up of two halves of a coin or of a medal. Two halves of the same thing, either one standing for the other, both becoming, however, fully effective only when they matched to make up, again, the original whole. … in the original concept of symbol, there is the suggestion of a final recomposition. Etymologies, however, do not necessarily tell the truth — or, at least, they tell the truth, in terms of historical, not of structural, semantics. What is frequently appreciated in many so-called symbols is exactly their vagueness, their openness, their fruitful ineffectiveness to express a 'final' meaning, so that with symbols and by symbols one indicates what is always beyond one's reach.
3rd edition, p. 318ff, As quoted by Phillip Frank, Philosophy of Science: The Link Between Science and Philosophy (1957)
20th century, "Erkenntnis und Irrtum: Skizzen zur Psychologie der Forschung" (1905)
Source: Vehicles: Experiments in Synthetic Psychology (1984), p. 20 as cited in: Yll Haxhimusa (2006) The Structurally Optimal Dual Graph Pyramid and Its Application in Image Partitioning. p. 149
“One goes many miles to be at ease.”
Per bene star si scende molte miglia.
Canzone 105, st. 4
Il Canzoniere (c. 1351–1353), To Laura in Life
Abstract
Outlines of a Philosophy of Art, 1925
Letter to Giovanni Boccaccio (28 April 1373) as quoted in Petrarch : The First Modern Scholar and Man of Letters (1898) edited by James Harvey Robinson and Henry Winchester Rolfe, p. 417
Context: I certainly will not reject the praise you bestow upon me for having stimulated in many instances, not only in Italy but perhaps beyond its confines also, the pursuit of studies such as ours, which have suffered neglect for so many centuries; I am, indeed, almost the oldest of those among us who are engaged in the cultivation of these subjects. But I cannot accept the conclusion you draw from this, namely, that I should give place to younger minds, and, interrupting the plan of work on which I am engaged, give others an opportunity to write something, if they will, and not seem longer to desire to reserve everything for my own pen. How radically do our opinions differ, although, at bottom, our object is the same! I seem to you to have written everything, or at least a great deal, while to myself I appear to have produced almost nothing.