Old Criticism And New Pragmatism
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Thus the mere consideration of what is in- volved in the application of the categories of quantity really forces us beyond it to those of relation. Thus not only is there a certain order to be found in the Kantian table of categories, but also a certain necessity of development. Yet, as ever, it is our consideration of what the possibility of experience demands that makes this necessity clear, and it does not spring from any inner dialectic of the pure categories themselves.
(/) Number, Measure..., Arithmetic.
We have been dealing with the conscious applica- tion of the category of quantity to space and time, and it now remains to consider the part played by it in the creation of number. * A cursory glance at the manner of Kant's metaphysical deduction, as well as the titles he assigns to the categories which fall under the head of quantity, might lead one * Cf. A. 717, B. 745. " But mathematics does not confine itself to the construction of quantities (quanta), as in the case of geometry, it occupies itself with pure quantity also (quantitas), as in the case of algebra, where complete abstraction is made of the properties of the object indicated by the conception of quantity.
What to read after Old Criticism And New Pragmatism?
You can find similar books in the "Read Also" column, or choose other free books by O'sullivan, J. M to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Thus the mere consideration of what is in- volved in the application of the categories of quantity really forces us beyond it to those of relation. Thus not only is there a certain order to be found in the Kantian table of categories, but also a certain necessity of development. Yet, as ever, it is our consideration of what the possibility of experience demands that makes this necessity clear, and it does not spring from any inner dialectic of the pure categories themselves.
(/) Number, Measure..., Arithmetic.
We have been dealing with the conscious applica- tion of the category of quantity to space and time, and it now remains to consider the part played by it in the creation of number. * A cursory glance at the manner of Kant's metaphysical deduction, as well as the titles he assigns to the categories which fall under the head of quantity, might lead one * Cf. A. 717, B. 745. " But mathematics does not confine itself to the construction of quantities (quanta), as in the case of geometry, it occupies itself with pure quantity also (quantitas), as in the case of algebra, where complete abstraction is made of the properties of the object indicated by the conception of quantity.
What to read after Old Criticism And New Pragmatism?
You can find similar books in the "Read Also" column, or choose other free books by O'sullivan, J. M to read onlineMoreLess
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