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Luca Incurvati

Kirjat ja teokset yhdessä paikassa: 3 kirjaa, julkaisuja vuosilta 2020-2024, suosituimpien joukossa Conceptions of Set and the Foundations of Mathematics. Vertaile teosten hintoja ja tarkista saatavuus suomalaisista kirjakaupoista.

3 kirjaa

Kirjojen julkaisuhaarukka 2020-2024.

Reasoning with Attitude

Reasoning with Attitude

Luca Incurvati; Julian J. Schlöder

OXFORD UNIVERSITY PRESS INC
2024
sidottu
This is an open access title available under the terms of a CC BY-NC-ND 4.0 license. It is free to read at Oxford Academic and offered as a free PDF download from OUP and selected open access locations. Certain combinations of sounds or signs on paper are meaningful. What makes it the case that, unlike most combinations of sounds or signs, they have meaning? What is this meaning that they have? And what is it to understand this meaning? This book advances new answers to these questions by developing inferential expressivism, a novel approach to the study of meaning which combines elements of the expressivist and inferentialist programs. Expressivists explain the meaning of words in terms of the attitudes that words are used to express; inferentialists explain the meaning of words in terms of the inferences that words are used to draw. Reasoning with Attitude lays out the foundations of inferential expressivism by defending the view that the meaning of an expression is to be explained in terms of the inferences we draw involving the attitudes we express. As the book shows, by joining forces, expressivism and inferentialism can meet their key challenges whilst retaining their distinctive insights and advantages. Notably, inferential expressivism solves the Frege-Geach Problem plaguing expressivism, and addresses the charge that inferentialism has limited applicability. The book demonstrates the fruitfulness of the inferential expressivist approach by applying it to several open questions in semantics from different areas of inquiry, including epistemic operators and conditionals in the philosophy of language, negation and the truth predicate in the philosophy of logic, and normative vocabulary in meta-ethics.
Conceptions of Set and the Foundations of Mathematics

Conceptions of Set and the Foundations of Mathematics

Luca Incurvati

Cambridge University Press
2021
pokkari
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
Conceptions of Set and the Foundations of Mathematics

Conceptions of Set and the Foundations of Mathematics

Luca Incurvati

Cambridge University Press
2020
sidottu
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.