RT Journal Article T1 Numbers, combinatorics and knots: from the discrete to the continuous. (Catalan: Nombres, combinatòria i nusos : del discret al continu) A1 Montesinos Amilibia, José María AB The author describes such things as the Poincaré conjecture, Waldhausen's generalization of it, and the dimension 4 Poincaré conjecture. Then he turns to the finite-infinite and discrete-continuous dichotomies. For the former he gives examples in number theory (the computation of decimal and septimal digits of e and π, and the continued fraction continuants for π) and for the latter he gives examples from combinatorial topology (triangulations and homology) and knot theory (homotopy and Whitehead's example). The paper is a written version of a talk given to a general scientific (in contrast to a general mathematical) audience. PB Societat Catalana de Matemàtiques SN 0214-316X YR 1997 FD 1997 LK https://hdl.handle.net/20.500.14352/58641 UL https://hdl.handle.net/20.500.14352/58641 LA fra NO Versió catalana del discurs inaugural de l’any acadèmic 1996–1997 a la Real Academia de CienciasExactas, Físicas y Naturales. DS Docta Complutense RD 6 may 2024