Knowledge and the Philosophy of Number

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

History and Philosophy of Logic Pub Date : 2022-07-06 DOI:10.1080/01445340.2022.2080373

Richard Lawrence

引用次数: 0

Abstract

project to provide a new for the philosophy of number inspired by the idea that numbers are magnitudes . Hossack advocates understanding magnitudes as properties of , a which pluralities, continua, and series a natural is a property of a plurality, a real is a property of a continuum, and an ordinal is a property of a series. The out a modern theory of quantity and magnitude, based on the ancient theory of quantity in and in order to argue that we can have a priori knowledge of the natural numbers, the real numbers, and the ordinals. It is a refreshing and innovative attempt at that longstanding goal.

查看原文本刊更多论文

《知识与数的哲学

该项目旨在为数字哲学提供一个新的灵感，其理念是数字就是数量。Hossack主张将量理解为的性质，其中复数、连续体和级数a自然是复数的性质，实数是连续体的性质，序数是级数的性质。这是一个现代的数量和数量理论，基于古代的数量理论，以论证我们可以对自然数、实数和序数有先验知识。这是实现这一长期目标的一次令人耳目一新的创新尝试。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

History and Philosophy of Logic 综合性期刊-科学史与科学哲学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： History and Philosophy of Logic contains articles, notes and book reviews dealing with the history and philosophy of logic. ’Logic’ is understood to be any volume of knowledge which was regarded as logic at the time in question. ’History’ refers back to ancient times and also to work in this century; however, the Editor will not accept articles, including review articles, on very recent work on a topic. ’Philosophy’ refers to broad and general questions: specialist articles which are now classed as ’philosophical logic’ will not be published. The Editor will consider articles on the relationship between logic and other branches of knowledge, but the component of logic must be substantial. Topics with no temporal specification are to be interpreted both historically and philosophically. Each topic includes its own metalogic where appropriate.