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In the analytic tradition, the philosophy of mathematics has generally focused on justification, exploring the grounds for mathematical knowledge and the proper methods of inference. From that perspective, the body of mathematical knowledge consists of something like the collection of definitions, theorems, and proofs that have been accumulated over the years. It is not difficult to make the case that there are important mathematical resources that cannot be characterized in these terms, but merit philosophical attention nonetheless. In this talk, I will clarify some of the motivating intuitions and goals, and offer some suggestions as to how we ought to proceed. In which sense, if any, spaces are made up of points? It is well known that Felix Klein articulated one of the first unified approaches to geometry in group-theoretical terms in It followed that, contrary to the received view, the existence of irrationals does not depend on our intuitions concerning the continuity of the line.
Account Options Login. Koleksiku Bantuan Penelusuran Buku Lanjutan. Dapatkan buku cetak. Belanja Buku di Google Play Jelajahi eBookstore terbesar di dunia dan baca lewat web, tablet, ponsel, atau ereader mulai hari ini. Wiep van Bunge , Hans Bots.
Account Options Login. Koleksiku Bantuan Penelusuran Buku Lanjutan. Lihat eBuku. University of Ottawa Press Amazon.