Chapter 18 – Pointless Geometries

[1]  E. V. Huntington.  A set of postulates for abstract geometry, expressed in terms of the simple relation of inclusion , 1913 .

[2]  Alfred North Whitehead.  The Concept Of Nature , 1920 .

[3]  T. D. Laguna.  Point, Line, and Surface, as Sets of Solids , 1922 .

[4]  G. Birkhoff,et al.  On the combination of subalgebras , 1933, Mathematical Proceedings of the Cambridge Philosophical Society.

[5]  J. Neumann,et al.  The Logic of Quantum Mechanics , 1936 .

[6]  Karl Menger,et al.  Topology without points , 1940 .

[7]  Nelson Goodman,et al.  The calculus of individuals and its uses , 1940, Journal of Symbolic Logic.

[8]  Stanisław Jaśkowski.  Une modification des définitions fondamentales de la géométrie des corps de M. A. Tarski , 1948 .

[9]  Neuere Fassungen des Riemann-Helmholtz-Lieschen Raumproblems , 1955 .

[10]  Dona Papert,et al.  Sur les treillis des ouverts et les paratopologies , 1958 .

[11]  Jean Benabou.  Treillis locaux et paratopologies , 1958 .

[12]  Charles Ehresmann,et al.  Gattungen von lokalen Strukturen. , 1958 .

[13]  S. Papert,et al.  Which distributive lattices are lattices of closed sets? , 1959, Mathematical Proceedings of the Cambridge Philosophical Society.

[14]  P. Halmos.  Lectures on Boolean Algebras , 1963 .

[15]  A. Śniatycki.  An axiomatics of non-Desarguean geometry based on the half-plane as the primitive notion , 1968 .

[16]  C. L. Hambltn.  Starting and Stopping , 1969 .

[17]  Edmund Glibowski.  The application of mereology to grounding of elementary geometry , 1969 .

[18]  Theodore F. Sullivan.  Affine geometry having a solid as primitive , 1971, Notre Dame J. Formal Log..

[19]  C. L. Hamblin.  Instants and intervals. , 1971, Studium generale; Zeitschrift fur die Einheit der Wissenschaften im Zusammenhang ihrer Begriffsbildungen und Forschungsmethoden.

[20]  Theodore F. Sullivan.  The name solid as primitive in projective geometry , 1972, Notre Dame J. Formal Log..

[21]  John R. Isbell,et al.  Atomless Parts of Spaces. , 1972 .

[22]  Patrick Suppes.  Some Open Problems in the Philosophy of Space and Time , 1972 .

[23]  Tarski's definition of point in banach spaces , 1973 .

[24]  Theodore F. Sullivan.  The geometry of solids in Hilbert spaces , 1973, Notre Dame J. Formal Log..

[25]  W. Mays,et al.  Process and Reality , 1978 .

[26]  Peter Roper,et al.  Intervals and tenses , 1980, J. Philos. Log..

[27]  Klaus Weihrauch,et al.  Embedding Metric Spaces Into CPO's , 1981, Theor. Comput. Sci..

[28]  Bowman L. Clarke,et al.  A calculus of individuals based on "connection" , 1981, Notre Dame J. Formal Log..

[29]  D. Mayr.  A Constructive-Axiomatic Approach to Physical Space and Spacetime Geometries of Constant Curvature by the Principle of Reproducibility , 1983 .

[30]  P. Johnstone,et al.  The point of pointless topology , 1983 .

[31]  Aleš Pultr,et al.  Pointless uniformities. I. Complete regularity , 1984 .

[32]  Aleš Pultr,et al.  Pointless uniformities. II: (Dia)metrization , 1984 .

[33]  Steven K. Thomason,et al.  On constructing instants from events , 1984, J. Philos. Log..

[34]  Geometry Without Points , 1985 .

[35]  B. L. Clark.  Individuals and points. , 1985 .

[36]  A. Pultr.  Categories of diametric frames , 1989, Mathematical Proceedings of the Cambridge Philosophical Society.

[37]  S. Vickers.  Topology via Logic , 1989 .

[38]  Bernhard Banaschewski,et al.  Cauchy Points of Metric Locales , 1989, Canadian Journal of Mathematics.

[39]  Giangiacomo Gerla,et al.  Pointless metric spaces , 1990, Journal of Symbolic Logic.

[40]  Pointless Metric Spaces and Fuzzy Spaces , 1992 .

[41]  Giangiacomo Gerla.  Distances, diameters and verisimilitude of theories , 1992, Arch. Math. Log..

[42]  Andrzej Grzegorczyk,et al.  Axiomatizability of geometry without points , 1960, Synthese.