The Tree of Knowledge: The Bright and the Dark Sides of Science

Even if thought of a divine reward or a Promethean conquest, technological know-how has unquestionably and indelibly marked the process human historical past. A fabricated from the highbrow elite, yet continually nourished through the numerous end result of its functions, technology seems this present day to be an ideal process, whose legislation and discoveries advisor all human actions. but the principles of its authority stay an open query, entailing disquieting features which are additionally to be pointed out in glossy technology. in addition it's obvious to be exerting an expanding strength over mankind. Readers are invited to persist with an itinerary in the course of the historical past of technological know-how, a voyage which, finally, permits them to seize a glimpse of 2 divergent futures: One within which technology hurries up the downfall of Homo sapiens, and one other during which it is helping our species to interact in a brand new and confident event, whose final result no one can be aware of.

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The following the crux of the problem is touched upon: really, as stated above, the houses of the triangle, and, specifically, the price π of the sum of its angles represents the excellence among Euclidean house and curved areas. while, within the XIX century, geometries have been built, within which the 5th postulate used to be now not assumed, a definitive contrast among the intuitive imaginative and prescient and the mathematical description of the geometric house was once definitively sanctioned. This contrast undermined the rules of the metaphysical precept of the fitting correspondence among Euclidean house and actual house. however, we won't yet recognize the acumen of the Greek geometers who, whilst they have been laying 8 1 Time of progress down the rules of geometry, recognized in Euclid’s postulates the cornerstone that demonstrated the junction of house with an outline of actual phenomena. besides the fact that, the suspicion that infinity won't have predictable houses represents, from a logical viewpoint, an inherent thorn within the center of geometry. actually, during the improvement of geometry, the non-finite, the ¥π ειρoν, has consistently printed elusive facets. those options not just brought critical difficulties while limitlessly huge extensions have been being thought of, but in addition whilst the geometrical shapes have been faced with the infinitely small, the infinitesimal, regarding a primary trouble of the main user-friendly morphologic intuitions. hence, for example, the circle, unequivocally outlined in a airplane because the locus of the equidistant issues from a hard and fast aspect, seemed, from a actual viewpoint, because the restrict of an enormous succession of polygons with more and more aspects of reducing lengths. Many geometers couldn't conceive how such figures can be realised in actual area with no passing via this endless succession of polygons. for that reason, the suspicion that curves, like a circle, have been a kind of chimerae not just rose from metric concerns, but in addition from their incompatibility with conceptions of topic in line with atomic theories. If, on one hand, the continuum’s houses of geometric house have been, from the beginning—unconsciously or explicitly—accepted, at the different, within the a variety of philosophical colleges, they grew to become the topic of an argument, which was once nevermore to be settled (Fig. 1. 4). Fig. 1. four It used to be in simple terms within the XIX century that Euclid’s 5th postulate (of the parallels) used to be rejected and a brand new geometry used to be accordingly built by means of Nikolai Ivanovich Lobachewsky (1792–1856). The language with which Lobachewsky‘s and different non-Euclidean geometries have been formulated isn't really visually intuitive, yet in keeping with summary mathematical entities. within the cartoon at the left-hand facet, a immediately line and its special parallel passing via some extent P in a given aircraft containing the road are certain in Euclidean house. at the right-hand aspect, Lobachewsky’s curved area is sketched, the place it may be visible that the instantly line is reworked right into a curve and an infinity of strains go through aspect P that don't intersect it (i.

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