Whitehead's point-free geometry

Known as: Point, Point-free geometry, Whitehead point-free geometry

In mathematics, point-free geometry is a geometry whose primitive ontological notion is region rather than point. Two axiomatic systems are set out…

Papers overview

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2017

Abstract In this paper we develop a point-free system of geometry based on the notions of region, parthood, and ovality, the last…

2014

The paper starts from the observation that in the inclusion-based approach to point-free geometry there are serious difficulties…

2013

In the Euclidean geometry points are the primitive entities. Point-based spatial construction is dominant but apparently, from a…

2010

A. N. Whitehead, in two basic books, considers two dierent approaches to point-free geometry: the inclusion-based approach, whose…

2008

abstractive class any totally ordered class G of regions such that i ) G is totally ordered ii ) no region exists which is…

2007

A metric approach to Popper’s verisimilitude question is proposed which is related to point-free geometry. Indeed, we define the…

2006

An approach to point-free geometry based on the notion of a quasi-metric is proposed in which the primitives are the regions and…

2006

Obiettivo della tesi e fornire strumenti teorici per il trattamento di informazione “incompleta”. Cio viene fatto, da un lato, in…

2006

Whitehead's considerations on geometry exposed in PNK, CN and, successively , in PR are a very promising basis for a modern point…

2004

Inspired to some researches of A. N. Whitehead, we propose an approach to point- free geometry based on the notions of "region…