Relational Complexes

In this proposal the aim is to analyse the fortified city of Arezzo from unpublished archival documents. The Johannite Commandery of S. Jacopo, today no longer existing, was part of the urban setting of Arezzo and was located near the Porta Santo Spirito. This ancient fortification survives today. It stands as a very important example of military constructions for its massive polygonal town walls which were built between 1538 and 1560 by Antonio da Sangallo il Giovane on the site of the old Medieval citadel. The Church of S. Jacopo was destroyed to make way for new urban plans in the post-war period. Still in the urban area traces of the Order of Malta’s architecture survive. Our explanation attempts to explore the connection of this commandery with the fortified city. From such perspective it is interesting to analyse the setting up and functioning of the commandery within a fortified-urban framework. In this analysis studying the drawings produced by the land surveyors from the cabrei is of utmost importance. These unpublished documents, part of the ancient archive of the Priory of Pisa, offer in fact an unusual representation of a fortified city, which is now preserved in the Archivio di Stato in Florence

A Trope Theoretical Analysis of Relational Inherence

The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the obtaining of certain other facts about entities of the trope theoretical category system. Moreover, I show that the analysis can deal with asymmetric and non-symmetric relations by assuming that all relation-like tropes are quantities. Finally, I provide an account of the spatial location of tropes in the difficult case in which tropes contribute to determining of the location of other entities

The infinite random simplicial complex

We study the Fraisse limit of the class of all finite simplicial complexes. Whilst the natural model-theoretic setting for this class uses an infinite language, a range of results associated with Fraisse limits of structures for finite languages carry across to this important example. We introduce the notion of a local class, with the class of finite simplicial complexes as an archetypal example, and in this general context prove the existence of a 0-1 law and other basic model-theoretic results. Constraining to the case where all relations are symmetric, we show that every direct limit of finite groups, and every metrizable profinite group, appears as a subgroup of the automorphism group of the Fraisse limit. Finally, for the specific case of simplicial complexes, we show that the geometric realisation is topologically surprisingly simple: despite the combinatorial complexity of the Fraisse limit, its geometric realisation is homeomorphic to the infinite simplex.Comment: 33 page

Mixed membership stochastic blockmodels

Observations consisting of measurements on relationships for pairs of objects arise in many settings, such as protein interaction and gene regulatory networks, collections of author-recipient email, and social networks. Analyzing such data with probabilisic models can be delicate because the simple exchangeability assumptions underlying many boilerplate models no longer hold. In this paper, we describe a latent variable model of such data called the mixed membership stochastic blockmodel. This model extends blockmodels for relational data to ones which capture mixed membership latent relational structure, thus providing an object-specific low-dimensional representation. We develop a general variational inference algorithm for fast approximate posterior inference. We explore applications to social and protein interaction networks.Comment: 46 pages, 14 figures, 3 table

Russell on Introspection and Self-Knowledge

This chapter examines Bertrand Russell's developing views--roughly from 1911 to 1918--on the nature of introspective knowledge and subjects' most basic knowledge of themselves as themselves. It argues that Russell's theory of introspection distinguishes between direct awareness of individual psychological objects and features, the presentation of psychological complexes involving those objects and features, and introspective judgments which aim to correspond with them. It also explores his transition from believing that subjects enjoy introspective self-acquaintance, to believing that they only know themselves by self-description, and eventually to believing that self-knowledge is a logical construction. It concludes by sketching how Russell's views about introspection and self-knowledge change as a result of his adoption of neutral monism. Along the way, it sheds additional light on his acquaintance-based theory of knowledge, preference for logical constructions over inferred entities, and gradual progression towards neutral monism

Conceptual clustering using relational informatio

Work in conceptual clustering has focused on creating classes from objects with a fixed set of features, such as color or size. In this paper we describe a system which uses relations between the objects being clustered as well as features of the objects to form a hierarchy tree of classes. Unlike previous conceptual clustering systems, this algorithm can define new attributes. Using relational information the system is able to find object classifications not possible with conventional conceptual clustering methods