客观性、现实主义与证明：数学哲学中的模糊研究（True EPUB）

English | EPUB (True) | 2016 | 370 Pages | ISBN : 3319316427 | 2.7 MB

This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe. They consider fundamental philosophical notions such as set, cardinal number, truth, ground, finiteness and infinity, examining how their informal conceptions can best be captured in formal theories. The philosophy of mathematics is an extremely lively field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection – prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) – show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns.

Promoted by the Italian Network for the Philosophy of Mathematics – FilMat

英文| EPUB（True）| 2016 | 370页| ISBN:3319316427 | 2.7 MB本书涵盖了数学哲学最新辩论中的广泛主题，并致力于语义、认识论、本体论和逻辑问题如何相互作用，试图给出令人满意的数学知识图景。这里收集的论文通过公理理论对不同类型数学对象的表征，以及纯数学和应用数学的客观性，探讨了它们所引发的语义和认知问题。他们通过讨论数学实在论的不同概念和对数学宇宙的相对论观点，研究了当代理论中有争议的方面，如新逻辑学家抽象主义、结构主义或关于集合的多元论。他们考虑了基本的哲学概念，如集合、基数、真理、基础、有限性和无限性，研究了如何在形式理论中最好地捕捉到他们的非正式概念。数学哲学是一个极其活跃的研究领域，在逻辑和逻辑哲学、语义学、本体论、认识论、认知科学以及历史和数学科学哲学等学科都有广泛的影响。通过汇集知名学者和年轻研究人员，这本文集中的论文——由意大利数学哲学网络（FilMat）的会议促成——展示了目前在这一领域正在进行多少有价值的研究，以及在解决长期哲学问题方面还有多少路要走。 由意大利数学哲学网络FilMat推广

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