The Logical Syntax Of Greek Mathematics
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The Logical Syntax Of Greek Mathematics
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Author : Fabio Acerbi
language : en
Publisher: Springer Nature
Release Date : 2021-06-21
The Logical Syntax Of Greek Mathematics written by Fabio Acerbi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.
The aim of this monograph is to describe Greek mathematics as a literary product, studying its style from a logico-syntactic point of view and setting parallels with logical and grammatical doctrines developed in antiquity. In this way, major philosophical themes such as the expression of mathematical generality and the selection of criteria of validity for arguments can be treated without anachronism. Thus, the book is of interest for both historians of ancient philosophy and specialists in Ancient Greek, in addition to historians of mathematics. This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics; the second expounds in detail the mechanism of "validation"; the third deals with the status of mathematical objects and the problem of mathematical generality; the fourth analyzes the main features of the "deductive machine," i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof; and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well.
Form And Clarity In Euclid S Elements
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Author : Anna-Maria Gasser
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Form And Clarity In Euclid S Elements written by Anna-Maria Gasser and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with History categories.
As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.
Metadata And Semantic Research
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Author : Emmanouel Garoufallou
language : en
Publisher: Springer Nature
Release Date : 2023-08-09
Metadata And Semantic Research written by Emmanouel Garoufallou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-09 with Computers categories.
This book constitutes the refereed post proceedings of the 16th Research Conference on Metadata and Semantic Research, MTSR 2022, held in London, UK, during November 7–11, 2022. The 21 full papers and 4 short papers included in this book were carefully reviewed andselected from 79 submissions. They were organized in topical sections as follows: metadata, linked data, semantics and ontologies - general session, and track on Knowledge IT Artifacts (KITA), Track on digital humanities and digital curation, and track on cultural collections and applications, track on digital libraries, information retrieval, big, linked, social & open data, and metadata, linked data, semantics and ontologies - general session, track on agriculture, food & environment, and metadata, linked Data, semantics and ontologies - general, track on open repositories, research information systems & data infrastructures, and metadata, linked data, semantics and ontologies - general, metadata, linked data, semantics and ontologies - general session, and track on european and national projects.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
The Cambridge Companion To Ancient Logic
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Author : Luca Castagnoli
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-02
The Cambridge Companion To Ancient Logic written by Luca Castagnoli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-02 with Mathematics categories.
A state-of-the-art overview of ancient logic for students and scholars, with in-depth analyses of its central themes.
The Platonic Mind
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Author : Peter D. Larsen
language : en
Publisher: Taylor & Francis
Release Date : 2024-11-26
The Platonic Mind written by Peter D. Larsen and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-26 with Philosophy categories.
Plato is one of the most widely read and studied philosophers of all time. A pivotal figure in the history of philosophy, his work is foundational to the Western philosophical tradition. The Platonic Mind provides an extensive survey of his work, not only placing it in its historical context but also exploring its contemporary significance. Comprising over 30 specially commissioned chapters by an international team of contributors, the volume is divided into three clear parts: Reading Plato’s Dialogues Themes From Plato Plato’s Influences and Significance Within these sections key topics are addressed including the nature of reality and the physical world; human cognition, including knowledge, sense perception, and affective states; society, politics, and law; his method of inquiry and literary style; his influence on subsequent thinkers and traditions; and studies on a wide range of individual Platonic dialogues. Plato’s work is central to the study of ancient philosophy, Greek philosophy, history of philosophy, metaphysics, philosophy of mind, political philosophy, epistemology, philosophy of science, ethics, philosophy of language, legal philosophy, and philosophy of religion. As such The Platonic Mind is essential reading for all students and researchers in philosophy. It will also be of interest to those studying Plato in related disciplines such as politics, law, ancient history, literature, and religious studies.
Coming To Terms
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Author : Markus Asper
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-12-31
Coming To Terms written by Markus Asper and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-31 with History categories.
Terminologies present various challenges to their inventors and to their users, ranging from epistemic adequacy over linguistic concerns to matters of strategy and group construction. With respect to historical terminologies, however, research has been dominated by linguistic approaches. Breaking new ground, Coming to Terms collects eleven articles that combine an interest in the history of knowledge, mostly ancient Greek, with research on scientific terminologies. They all share an interest in terminological practices, that is, questions such as how and when to coin a term and then what to do with it. Among the fields discussed are astronomy, the Roman surveyors, Aristotelian science, Renaissance and modern biology, contemporary medicine, ancient Chinese philosophy, 20th-century physics, and colonial linguistics. Confronting ancient with modern terminologies, the collection intends to test integrative interpretive approaches. Thus, the collection documents how rich ancient (and modern) terminologies are and shows that they are, beyond lexicography, worth being studied per se.
Latin As The Language Of Science And Learning
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Author : Philipp Roelli
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-22
Latin As The Language Of Science And Learning written by Philipp Roelli and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Language Arts & Disciplines categories.
This book investigates the role of the Latin language as a vehicle for science and learning from several angles. First, the question what was understood as ‘science’ through time and how it is named in different languages, especially the Classical ones, is approached. Criteria for what did pass as scientific are found that point to ‘science’ as a kind of Greek Denkstil based on pattern-finding and their unbiased checking. In a second part, a brief diachronic panorama introduces schools of thought and authors who wrote in Latin from antiquity to the present. Latin’s heydays in this function are clearly the time between the twelfth and eighteenth centuries. Some niches where it was used longer are examined and reasons sought why Latin finally lost this lead-role. A third part seeks to define the peculiar characteristics of scientific Latin using corpus linguistic approaches. As a result, several types of scientific writing can be identified. The question of how to transfer science from one linguistic medium to another is never far: Latin inherited this role from Greek and is in turn the ancestor of science done in the modern vernaculars. At the end of the study, the importance of Latin science for modern science in English becomes evident.
Essays On Husserl S Logic And Philosophy Of Mathematics
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Author : Stefania Centrone
language : en
Publisher: Springer
Release Date : 2017-09-07
Essays On Husserl S Logic And Philosophy Of Mathematics written by Stefania Centrone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-07 with Philosophy categories.
Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.
Introduction To Mathematical Philosophy
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Author : Bertrand Russell
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
Introduction To Mathematical Philosophy written by Bertrand Russell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
In the words of Bertrand Russell, "Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy." That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy. In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.