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Challenges from mathematicians and biologists

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Henri Poincar and Ernst Mach 'the physiological foundation for the natural' ... The fly, the dragonfly, and the bee that we observe fling next to us on a sunny ... – PowerPoint PPT presentation

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Title: Challenges from mathematicians and biologists


1
Challenges from mathematicians and biologists
  • There is no such thing as homogeneous space
  • Henri Poincaré and Ernst Machthe physiological
    foundation for the natural development of
    geometrical space (133)
  • Elie de Cyon Only the semicircular canals are
    inherent, and our sense of space derives from
    them and remains dependent upon them. (136)

2
Umwelt vs. Umgebung
  • Baron Jakob von Uexküll (137)
  • Too often, he affirms, we imagine that the
    relations a certain animal subject has to the
    things in its environment take place in the same
    space and in the same time as those which bind us
    to the objects in our human world. This illusion
    rests on the belief in a single world in which
    all living beings are situated

3
Umwelt vs. Umgebung
  • Uexküll shows that such a unitary world does
    not exist, just as space and a time that are
    equal for all living things do not exists. The
    fly, the dragonfly, and the bee that we observe
    fling next to us on a sunny day do not move in
    the same world as the one in which we observe
    them, nor do they share with usor with each
    otherthe same time and the same space.
  • ---Giorgio Agamben, The Open Man and Animal,
    40

4
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5
Cézannes break with the rule of perspective
  • Cézanne was the first to introduce a truly
    heterogeneous space in a single canvas with
    multiple perspectives of the same subject. (141)
  • composition of forms on the flat surface of the
    canvas(141)
  • conventions for accurately rendering volume and
    depth were secondary(141)
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