Cardinal Composition.

IF 0.8 2区哲学 0 PHILOSOPHY

ERKENNTNIS Pub Date : 2024-01-01 Epub Date: 2022-07-29 DOI:10.1007/s10670-022-00591-1

Lisa Vogt, Jonas Werner

{"title":"Cardinal Composition.","authors":"Lisa Vogt, Jonas Werner","doi":"10.1007/s10670-022-00591-1","DOIUrl":null,"url":null,"abstract":"<p><p>The thesis of Weak Unrestricted Composition says that every pair of objects has a fusion. This thesis has been argued by Contessa (Analysis 72(3):455-457, 2012) and Smith (Erkenntnis 84(1):41-55, 2019) to be compatible with the world being junky and hence to evade an argument against the necessity of Strong Unrestricted Composition proposed by Bohn (Analysis 69(1):27-31, 2009a, Philos Q 59(235):193-201, 2009b). However, neither Weak Unrestricted Composition alone nor the different variants of it that have been proposed in the literature can provide us with a satisfying answer to the special composition question, or so we will argue. We will then go on to explore an alternative family of purely mereological rules in the vicinity of Weak Unrestricted Composition, Cardinal Composition: A plurality of pairwise non-overlapping objects composes an object iff the objects in the plurality are of cardinality smaller than <math><mi>κ</mi></math>. As we will show, all the instances for infinite <math><mi>κ</mi></math>s determine fusion and are compatible with junk, and every instance for a <math><mrow><mi>κ</mi><mo>></mo><msub><mi>ℵ</mi><mn>0</mn></msub></mrow></math> is furthermore compatible with gunk and dense chains of parthood.</p>","PeriodicalId":47741,"journal":{"name":"ERKENNTNIS","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11014879/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERKENNTNIS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s10670-022-00591-1","RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/7/29 0:00:00","PubModel":"Epub","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}

引用次数: 0

Abstract

The thesis of Weak Unrestricted Composition says that every pair of objects has a fusion. This thesis has been argued by Contessa (Analysis 72(3):455-457, 2012) and Smith (Erkenntnis 84(1):41-55, 2019) to be compatible with the world being junky and hence to evade an argument against the necessity of Strong Unrestricted Composition proposed by Bohn (Analysis 69(1):27-31, 2009a, Philos Q 59(235):193-201, 2009b). However, neither Weak Unrestricted Composition alone nor the different variants of it that have been proposed in the literature can provide us with a satisfying answer to the special composition question, or so we will argue. We will then go on to explore an alternative family of purely mereological rules in the vicinity of Weak Unrestricted Composition, Cardinal Composition: A plurality of pairwise non-overlapping objects composes an object iff the objects in the plurality are of cardinality smaller than $κ$ . As we will show, all the instances for infinite $κ$ s determine fusion and are compatible with junk, and every instance for a $κ > ℵ_{0}$ is furthermore compatible with gunk and dense chains of parthood.

查看原文本刊更多论文

卡迪纳尔成分

弱无限制构成论认为，每一对对象都有一个融合体。康泰萨（Analysis 72(3):455-457, 2012）和史密斯（Erkenntnis 84(1):41-55, 2019）认为这个论题与世界是垃圾相容的，从而回避了博恩（Analysis 69(1):27-31, 2009a，Philos Q 59(235):193-201, 2009b）提出的反对强无限制构成必要性的论证。然而，无论是弱无限制构成，还是文献中提出的弱无限制构成的不同变体，都无法为特殊构成问题提供一个令人满意的答案。接下来，我们将继续探讨与弱无限制构成相近的另一种纯粹的纯粹学规则--红衣主教构成：如果复数中的对象的卡片数小于 κ，那么成对不重叠的复数就构成了一个对象。正如我们将要展示的，所有无限κ的实例都决定了融合，并且与垃圾兼容，而κ>ℵ0的每个实例都进一步与垃圾和同位的密集链兼容。

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

ERKENNTNIS PHILOSOPHY-

CiteScore

2.10

自引率

11.10%

发文量

116

期刊介绍： Erkenntnis is a philosophical journal publishing papers committed in one way or another to the philosophical attitude which is signified by the label ''scientific philosophy''. It concentrates on those philosophical fields which are particularly inspired by this attitude, although other topics are welcome as well. These fields are:- Epistemology - Philosophy of science, foundations and methodology of science in general and of natural and human sciences such as physics, biology, psychology, economics, social sciences in particular - Philosophy of mathematics - Logic, philosophy of logic, and all kinds of philosophical logics - Philosophy of language - Ontology, metaphysics, theory of modality - Philosophical psychology, philosophy of mind, neurophilosophy - Practical philosophy, i.e. ethics, philosophy of action, philosophy of law, etc. One of the objectives of Erkenntnis is the provision of a suitable platform for the discussion of controversial issues; another is the provision of timely, competent reviews of important publications in an ever-growing field of research.In recent years, philosophers standing quite outside the pale of analytic philosophy have also paid careful, and indeed most welcome, attention to precision of concept and language, to arguments, and to well-grounded foundations. Erkenntnis provides for them, and for philosophers of all persuasions, a place of meeting, of discussion, and of disputation.Erkenntnis was originally founded in 1930 by Rudolf Carnap and Hans Reichenbach, it was revived in 1975 by Carl G. Hempel, Wolfang Stegmüller, and Wilhelm K. Essler. You can find more information about this in the article “Hempel: The old and the new ‘Erkenntnis’” accessible in the tabs to the right.Today, Erkenntnis is one of the leading journals in philosophy worldwide and attracts first-class authors at all stages of career; from young philosophers at the PhD level up to established academic philosophers and highly renowned senior scholars. We pride ourselves on supplying our authors with substantial referee reports, subject to a turnaround time of about three months until the first decision. The acceptance rate for publications in the journal is presently slightly below 10%.