transcendence degree

(redirected from Purely transcendental)

transcendence degree

[tran′sen·dəns di‚grē]
(mathematics)
The transcendence degree of a field E of a subfield F is the number of elements in a transcendence base of E over F. Also known as transcendence dimension.
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Given that this transcendent unifying circle cannot escape the attachments, the move is made to reach beyond the transcendent, to the ultimate ground that is neither this nor that, neither one nor many, and thus is purely transcendental condition for all else.
To achieve this novel and proper relation to the sciences, Heidegger identifies two interpretations which must be avoided: (i) to take philosophy as a purely transcendental discourse, as a fundamental and regional ontology capable of determining the essence of life without reference or deference to the empirical facts uncovered by biological science.
In turn, philosophical interpretations requires something to interpret, and so this interpretative relation between philosophy and science implies that we cannot begin from a purely transcendental position and force whatever facts this allows us to discover into a pre-existing framework of meaning that will not allow itself to be modified by whatever is brought to light; facts cannot be merely subordinate to philosophy, just as we cannot begin from some supposedly raw data: we must begin from a philosophically enlightened understanding of the deliverances of science, in other words, from the twofold.