This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories.
The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of (basic) truth values.
Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics.
Games, Norms, and Reasons: Logic at the Crossroads provides an overview of modern logic focusing on its relationships with other disciplines, including new interfaces with rational choice theory, epistemology, game theory and informatics.
This book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valued logics) and to various applied theories of computational logic (such as temporal reasoning, spatial reasoning, fuzzy-set-based reasoning, rough-set-based reasoning, order-of magnitude reasoning, reasoning about programs, threshold logics, logics of conditional decisions).
This book presents a comprehensive exploration of quantum computing, exploring its wide-ranging applications across industries, elucidating its transformative impact on diverse sectors, and addressing the forthcoming challenges and future directions within this rapidly evolving field.
Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics.
Gli autori, basandosi sulla loro esperienza di ricerca, propongono in due volumi un testo di riferimento per acquisire una solida formazione specialistica nella logica.
L'opera si propone come testo di riferimento per acquisire una solida preparazione specialistica nella Logica, presentando in maniera rigorosa ed innovativa argomenti tradizionalmente affrontati nei corsi universitari di secondo livello.
This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic.
This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G.
Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, completezza di Gödel, Löwenheim-Skolem) introducendo i concetti sintattici e semantici in modo progressivo, dalla logica booleana a quella predicativa.
La varietà e l’interesse dei contributi alla Lettera Matematica Pristem hanno spinto i curatori, d’accordo con il comitato di redazione, a proporre in questa raccolta alcuni articoli apparsi sulla rivista dalla sua fondazione ad oggi.
Il libro vuole aiutare a studiare la teoria degli insiemi indicando l'articolazione della teoria, a partire dal concetto di infinito per arrivare alla definizione dei numeri, sia finiti sia infiniti, con la diramazione tra ordinali e cardinali; insiste sulle proprietà degli insiemi numerabili, e sul continuo.
El propósito de este libro es introducir al estudiante en el método deductivo de la Matemática moderna, pero se ha intentado escribirlo de manera que lo puedan utilizar los estudiantes con un margen de edad y habilidad muy amplio.
Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory.
Pensar con todo el rigor de la lógica es como hacer ejercicio a gran altitud: es una práctica demandante, tal vez agotadora, que luego permite enfrentar los retos cotidianos con enorme facilidad.
A System of Logic, Ratiocinative and Inductive John Stuart Mill - It is so much the established practice of writers on logic to commence their treatises by a few general observations (in most cases, it is true, rather meagre) on Terms and their varieties, that it will, perhaps, scarcely be required from me in merely following the common usage, to be as particular in assigning my reasons, as it is usually expected that those should be who deviate from it.
Abhandlung über die Methode, seine Vernunft gut zu gebrauchen und die Wahrheit in den Wissenschaften zu suchen ist ein philosophisches und autobiografisches Werk des französischen Philosophen René Descartes.
Wireless Body Area Networks (WBANs) are vulnerable to cyberattacks and security breaches that could unlock the door for cybercriminals to penetrate hospital networks.
Was Sie schon immer über die Kunst, mathematische Texte zu formulieren, wissen wollten, aber nie zu fragen wagten: Was bedeutet "trivial", "wohldefiniert", "Korollar", "eindeutig", "o.
Im Jahr 1931 erschien im Monatsheft für Mathematik und Physik ein Artikel mit dem geheimnisvoll klingenden Titel Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I.
Fuzzy sets were first proposed by Lotfi Zadeh in his seminal paper [366] in 1965, and ever since have been a center of many discussions, fervently admired and condemned.
This ambitious exposition by Malik and Mordeson on the fuzzification of discrete structures not only supplies a solid basic text on this key topic, but also serves as a viable tool for learning basic fuzzy set concepts "e;from the ground up"e; due to its unusual lucidity of exposition.
In the mid-1960's I had the pleasure of attending a talk by Lotfi Zadeh at which he presented some of his basic (and at the time, recent) work on fuzzy sets.
