POINTFREE GEOMETRY, METRIC AND FUZZY APPROACH

Gerla G., Volpe R., Geometry without points, Amer. Math. Monthly, 92 (1985) 707-711.  pdf

Gerla G., Pointless metric spaces, J. Symbolic Logic, 55 (1990) 207-219. pdf

Gerla G., Pointless metric spaces and fuzzy spaces, in Applications of Category Theory to Fuzzy Subsets, eds E.P.Klement, U.Hohle, S.E.Rodabaugh,Kluer, Dordrecht (1991) 236-244.

Gerla G., Geometria senza punti: L'approccio metrico, Atti del Congresso Nuovi problemi della Logica e della Filosofia della Scienza. Viareggio 1990. Vol IICLUEB Bologna 1991, 291-297.

Gerla G., Geometria senza punti: l'approccio metrico, Archimede, 2 (1991) 73-83.

Gerla G., Distances, diameters and verisimilitude of theories, Archive for Mathematical Logic, 31 (1992) 407-414. pdf

Gerla G., A. Miranda, Graded inclusion and point-free geometry, International Journal of Pure and Applied Mathematics, 11 (2004) 63-81. pdf

Di Concilio A., Gerla G., Quasi-metric spaces and point-free geometry, Math. Struct. in Comp. Science 16 (2006) 115-137. pdf

Gerla G., Point-free Geometry and Verisimilitude of Theories, Journal of Philosophical Logic 36 (2007) 707-733. pdf

Gerla G., A. Miranda, Mathematical features of Whitehead’s point-free geometry, in Handbook of Whiteheadian Process Thought, Michel Weber and William Desmond, Jr. (eds.), Frankfurt / Lancaster, Ontos Verlag, vol.2, (2008), 119-130.    pdf

Gerla G., Paolillo B., Fondare la geometria su regioni e diametri, Periodico di Matematiche, 2 (2009) 29-40. pdf

Coppola C., Gerla G., Miranda A., Point-free foundation of geometry and  multi-valued logic, Notre Dame Journal of Formal Logic, vol 51, (2010) 383-405.  pdf

Gerla G., Paolillo B., Whitehead’s point-free Geometry and Diametric Posets, Logic and Logical Philosophy, vol. 19 (2010) 289-308. Doi:10.12775/LLP.2010.010  Pdf

Coppola, G. Gerla, Multi-valued logic for a point-free foundation of geometry, in “Mereology and the Science, Parts and Wholes in the Contemporary Scientific Context”, C. Calosi and P. Graziani Editors, Springer Synthese Library. vol. 371, (2014) 105-122. ISBN 978-3-319-05355-4

Coppola C., Gerla G., Mereological Foundations of point-free geometry via multi-valued logic, Logic and Logical Philosophy, 24 (2015), 535-553. pdf