Mereology and the Sciences: Parts and Wholes in the by Claudio Calosi,Pierluigi Graziani

By Claudio Calosi,Pierluigi Graziani

This quantity is the 1st systematic and thorough try to examine the relation and the prospective purposes of mereology to modern technological know-how. It gathers contributions from best students within the box and covers quite a lot of clinical theories and practices reminiscent of physics, arithmetic, chemistry, biology, laptop technology and engineering. through the quantity, a number of foundational matters are investigated either from the formal and the empirical element of view.

The first part seems to be on the subject because it applies to physics. The part addresses questions of endurance and composition inside of quantum and relativistic physics and concludes by way of scrutinizing the chance to catch continuity of movement as defined by means of our greatest actual theories inside of gunky area times.

The moment half tackles arithmetic and exhibits easy methods to supply a starting place for point-free geometry of house switching to fuzzy-logic. The relation between mereological sums and set-theoretic suprema is investigated and concerns approximately diversified mereological views corresponding to classical and traditional Mereology are completely discussed.

The 3rd part within the quantity appears at ordinary technology. numerous questions from biology, drugs and chemistry are investigated. From the viewpoint of biology, there's an try and supply axioms for inferring statements approximately half hood among organic entities from statements approximately their spatial relation. From the point of view of chemistry, it really is argued that classical mereological frameworks aren't sufficient to trap the practices of chemistry in that they think about neither temporal nor modal parameters.

The ultimate half introduces machine technological know-how and engineering. a brand new formal mereological framework within which an indeterminate relation of half hood is taken as a primitive concept is built after which utilized to a wide selection of disciplines from robotics to wisdom engineering. a proper framework for discrete mereotopology and its purposes is built and eventually, the significance of mereology for the really new technology of area engineering can also be discussed.

Show description

Read or Download Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context (Synthese Library) PDF

Best logic books

Generalized Concavity in Fuzzy Optimization and Decision Analysis (International Series in Operations Research & Management Science)

Convexity of units in linear areas, and concavity and convexity of services, lie on the root of gorgeous theoretical effects that are whilst super precious within the research and answer of optimization difficulties, together with difficulties of both unmarried target or a number of pursuits. now not all of those effects depend inevitably on convexity and concavity; the various effects can be sure that every one neighborhood optimal can also be a world optimal, giving those equipment broader software to a much wider classification of difficulties.

Computability and Unsolvability (Dover Books on Computer Science)

During this vintage textual content, Dr. Davis presents a transparent advent to computability, at a sophisticated undergraduate point, that serves the wishes of experts and non-specialists alike. partly One (Chapters 1–5), Professor Davis outlines the final conception of computability, discussing such subject matters as computable capabilities, operations on computable capabilities, recursive features, Turing machines, self-applied, and unsolvable determination difficulties.

Elements of Automata Theory

Automata concept lies on the starting place of computing device technological know-how, and is key to a theoretical figuring out of the way desktops paintings and what constitutes formal tools. This treatise supplies a rigorous account of the subject and illuminates its actual that means through the topic in a number of methods. the 1st a part of the ebook is organised round notions of rationality and recognisability.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 (London Mathematical Society Lecture Note Series)

The advance of Maxim Kontsevich's preliminary principles on motivic integration has abruptly motivated many different parts of arithmetic, starting from the Langlands application over harmonic research, to non-Archimedean research, singularity concept and birational geometry. This ebook assembles the various theories of motivic integration and their purposes for the 1st time, permitting readers to check diversified techniques and check their person strengths.

Additional resources for Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context (Synthese Library)

Sample text

Download PDF sample

Rated 4.96 of 5 – based on 32 votes