Which clippings match 'Mathematical Model' keyword pg.1 of 1

"Individual freedom is the dream of our age. It's what our leaders promise to give us, it defines how we think of ourselves and, repeatedly, we have gone to war to impose freedom around the world. But if you step back and look at what freedom actually means for us today, it's a strange and limited kind of freedom.

Politicians promised to liberate us from the old dead hand of bureaucracy, but they have created an evermore controlling system of social management, driven by targets and numbers. Governments committed to freedom of choice have presided over a rise in inequality and a dramatic collapse in social mobility. And abroad, in Iraq and Afghanistan, the attempt to enforce freedom has led to bloody mayhem and the rise of an authoritarian anti-democratic Islamism. This, in turn, has helped inspire terrorist attacks in Britain. In response, the Government has dismantled long-standing laws designed to protect our freedom.

The Trap is a series of three films by Bafta-winning producer Adam Curtis that explains the origins of our contemporary, narrow idea of freedom. It shows how a simplistic model of human beings as self-seeking, almost robotic, creatures led to today's idea of freedom. This model was derived from ideas and techniques developed by nuclear strategists during the Cold War to control the behavior of the Soviet enemy."

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"When considering the relevance of Kant's transcendental position on Euclidean space, one widespread complaint goes something like this: In what concerns the transcendental validity of mathematics in experience, Kant failed to distinguish between pure and applied geometry the way we do today. Pure geometry, as Hilbert showed, is a mere mathematical multiplicity, an axiomatic system interwoven by means of formal relationships where a priori intuition plays no role at all. Its claims have no empirical content whatsoever. Applied geometry, on the other hand, as exemplified by the use of non–Euclidean geometries by Einstein, has to do with the application of a formal geometrical structure as a means of depicting the empirical world. This application is done under certain theoretical assumptions and the postulation of an empirical spatial congruence. Once the coordination of the geometrical structure with the empirical phenomena is established, it can be empirically tested. There is no place for the idea that Euclidean geometry is a priori and synthetic, a transcendental constitutive of experience. Euclidean geometry is just a possible 'mathematical multiplicity', a formal structure whose correspondence with the physical world is not imposed. Thus, the transcendental a priori validity of geometry for all possible experience as implicitly ascertained in the mathematical principles of the pure understanding appears to have been refuted."

(José Ruiz Fernández, 2003)

Essays in Celebration of the Founding of the Organization of Phenomenological Organizations. Ed. CHEUNG, Chan–Fai, Ivan Chvatik, Ion Copoeru, Lester Embree, Julia Iribarne, & Hans Rainer Sepp. Web– Published at www.o–p–o.net, 2003

"Given a set of points (referred to as sites or nodes) a Voronoi diagram is a partition of space into regions, within which all points are closer to some particular node than to any other node."

(Sergei Savchenko)

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