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Mathematics has stood as a bridge between the Humanities and the
Sciences since the days of classical antiquity. For Plato,
mathematics was evidence of Being in the midst of Becoming, garden
variety evidence apparent even to small children and the
unphilosophical, and therefore of the highest educational
significance. In the great central similes of The Republic it is
the touchstone ofintelligibility for discourse, and in the Timaeus
it provides in an oddly literal sense the framework of nature,
insuring the intelligibility ofthe material world. For Descartes,
mathematical ideas had a clarity and distinctness akin to the idea
of God, as the fifth of the Meditations makes especially clear.
Cartesian mathematicals are constructions as well as objects
envisioned by the soul; in the Principles, the work ofthe physicist
who provides a quantified account ofthe machines of nature hovers
between description and constitution. For Kant, mathematics reveals
the possibility of universal and necessary knowledge that is
neither the logical unpacking ofconcepts nor the record of
perceptual experience. In the Critique ofPure Reason, mathematics
is one of the transcendental instruments the human mind uses to
apprehend nature, and by apprehending to construct it under the
universal and necessary lawsofNewtonian mechanics.
Yves Bonnefoy's book of poems, Beginning and End of the Snow
followed by Where the Arrow Falls, combines two meditations in
which the poet's thoughts and a landscape reflect each other. In
the first, the wintry New England landscape he encountered while
teaching at Williams College evokes the dance of atoms in the
philosophical poem of Lucretius as well as the Christian doctrine
of death and resurrection. In the second, Bonnefoy uses the
luminous woods of Haute Provence as the setting for a parable of
losing one's way.
Mathematics has stood as a bridge between the Humanities and the
Sciences since the days of classical antiquity. For Plato,
mathematics was evidence of Being in the midst of Becoming, garden
variety evidence apparent even to small children and the
unphilosophical, and therefore of the highest educational
significance. In the great central similes of The Republic it is
the touchstone ofintelligibility for discourse, and in the Timaeus
it provides in an oddly literal sense the framework of nature,
insuring the intelligibility ofthe material world. For Descartes,
mathematical ideas had a clarity and distinctness akin to the idea
of God, as the fifth of the Meditations makes especially clear.
Cartesian mathematicals are constructions as well as objects
envisioned by the soul; in the Principles, the work ofthe physicist
who provides a quantified account ofthe machines of nature hovers
between description and constitution. For Kant, mathematics reveals
the possibility of universal and necessary knowledge that is
neither the logical unpacking ofconcepts nor the record of
perceptual experience. In the Critique ofPure Reason, mathematics
is one of the transcendental instruments the human mind uses to
apprehend nature, and by apprehending to construct it under the
universal and necessary lawsofNewtonian mechanics.
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