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What Do Four-dimensionalism and Three-dimensionalism Disagree about? 四维主义和三维主义在什么方面存在分歧?
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.44.1-2_15
Ikuro Suzuki
Four-dimensionalism and three-dimensionalism are two rival theories of persistence. They give contrasting pictures of persistence of material objects, but it is still under dispute what is the proper formulation of their difference. In this paper, I aim to propose a new formulation of it, in light of which each theory can be properly understood. To this end, first I set three theoretical desiderata for a desirable formulation of the difference between two theories. Next, I consider three representative formulations, which I call respectively, ‘the temporal part formulation,’ ‘the temporal instantiation formulation,’ and ‘the spatiotemporal location formulation.’ I argue that they fail to meet the desiderata in some way or other. The temporal part formulation fails to meet all of three. The temporal instantiation formulation, properly understood, captures important aspects of the distinction, but fails to meet at least one desideratum. The spatiotemporal location formulation fares the best among the three formulations, but still has some deficiencies. Third, I argue that an appropriate combination of the temporal instantiation formulation and the spatiotemporal location formulation is even better and meets all the desiderata. Finally, I draw some implications from the previous discussion for the incompatibility of four-dimensionalism and
四维论和三维论是两种对立的持久性理论。它们对物质对象的持久性给出了截然不同的描述,但如何恰当地表述它们之间的差异仍存在争议。在本文中,我的目的是提出一个新的表述,据此可以正确地理解每一个理论。为此,我首先设定了三个理论理想,以理想地表述两种理论之间的差异。接下来,我考虑了三种代表性的表述,我分别称之为“时间部分表述”、“时间实例化表述”和“时空位置表述”。我认为,它们在某种程度上没有达到人们的期望。时间部分的表述不能满足这三个条件。适当理解的时间实例化公式抓住了区别的重要方面,但至少不能满足一个要求。时空定位公式在三种公式中表现最好,但仍有不足之处。第三,将时间实例化表述与时空定位表述适当结合,可以更好地满足所有要求。最后,我从前面的讨论中得出了一些关于四维主义和
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引用次数: 1
What Sort of Experiences Bring About Changes of the Meaning of Words?:: On Wittgenstein's Considerations of Figurative Expressions 什么样的经历导致了词汇意义的变化?论维特根斯坦对比喻表达的思考。
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.46.1_1
Keiichi Yamada
This paper aims to elucidate how the meaning of words would change by the experience in using figurative expressions on the basis of later Wittgenstein’s considerations. The various figurative expressions he investigated can be divided into three categories, metaphors in thinking, metaphors in perception, and “the secondary meaning”. I insist that all of these are brought about by the notice or forefeel of resemblances which is also needed in aspect-switching and conclude that the experiences of meaning could be the driving forces for changes of language games.
本文旨在以维特根斯坦后期的思考为基础,阐明在使用比喻表达的过程中,词语的意义是如何发生变化的。他所研究的各种比喻表达可以分为三类:思维隐喻、感知隐喻和“次要意义”。我坚持认为,所有这些都是由于注意到或预见到相似性而引起的,这也是方面转换所需要的,并得出结论,意义体验可能是语言游戏变化的驱动力。
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引用次数: 0
An Interpretation on Structural Realism to Spacetime Used in Big-Bang Cosmology: Is Space Really Expanding?@@@空間は膨張しているのか? 大爆炸宇宙论中结构实在论对时空的阐释:空间真的在膨胀吗?
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.44.1-2_1
Shohei Fujita
This paper discusses a philosophical answer about the question “in relativistic cosmology, is space really expanding?” In general cosmology which is called a big-bang theory, cosmological space is said to have been expanding like a balloon gradually pumped up since a big-bang, which is shown by a co-moving coordinate of which the scale gets bigger as a proper time of observers in the earth passes. In this paper, I would like to interpret this phenomenon from a structural spacetime realism’s viewpoint in which spacetime is real as different whole structures for different coordinates you arbitrarily choose depending only on a metric/gravitational field. Through my remark, I get a new conclusion of what spacetime really means,thus the role of specetime in contemporary physics.
本文讨论了“在相对论宇宙学中,空间真的在膨胀吗?”这个问题的哲学答案。在被称为大爆炸理论的一般宇宙学中,宇宙空间被认为像一个气球在大爆炸后逐渐膨胀,这可以用一个共同运动的坐标来表示,随着地球上观察者的固有时间的过去,尺度变得更大。在本文中,我想从结构时空现实主义的观点来解释这一现象,在这种观点中,时空是真实的,对于你任意选择的不同坐标,时空是不同的整体结构,只取决于一个度规/引力场。通过我的评论,我对时空的真正含义有了新的认识,从而对时空在当代物理学中的作用有了新的认识。
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引用次数: 0
Belief, Knowledge and Possibility 信念、知识和可能性
Pub Date : 1900-01-01 DOI: 10.4288/kisoron.47.1_15
Yuichiro Hosokawa
By applying the extended system of modal logic developed in [32], we present a logical analysis of the Gettier problem. Based on the result, in particular, we clarify the following point. In the literature on the Gettier problem, most authors seem to share the opinion that in general ‘belief’ precedes ‘knowledge’: we believe a proposition while we do not necessarily believe ourselves to have known it to be true. Interestingly, our analysis suggests that the story is the other way round in a sense: in general, for some proposition p, we believe that we have known that p, then we believe that p. Accordingly, even if given some reason for wanting to believe that p, we usually do not have the bare belief that p. Instead, in such a situation, more deliberately we think that it might be that p, or it can be hypothesized that p. Then, we can say, what we have at the start is not the bare belief that p, but “might possibility” or “hypothetical possibility” that p, which presumably involves abductive reasoning.
通过应用[32]中开发的模态逻辑扩展系统,我们给出了对Gettier问题的逻辑分析。根据这一结果,我们特别澄清了以下几点。在关于Gettier问题的文献中,大多数作者似乎都同意这样的观点:一般来说,“信念”先于“知识”:我们相信一个命题,但我们不一定相信自己已经知道它是真的。有趣的是,我们的分析表明,在某种意义上,情况正好相反:一般而言,对于一些命题p,我们相信我们已经知道p,那么我们相信p。因此,即使给出一些原因想相信p,我们通常没有裸相信p。相反,在这种情况下,更故意我们认为它可能是p,也可以推测,p。然后,我们可以说,我们一开始不是光相信p,但“可能性”或“假设的可能性”,p,这大概涉及到溯因推理。
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引用次数: 0
Perception of The Absence of Sounds 声音缺失的感知
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.41.2_81
Tohru Genka
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引用次数: 0
荒畑靖宏・山田圭一・古田徹也編著 『これからのウィトゲンシュタイン—刷新と応用のための14 篇』 リベルタス出版、2016 年 荒畑靖宏、山田圭一、古田彻也编著《维特根斯坦的未来——革新与应用的14篇》,libertas出版,2016年
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.46.2_79
Shigeki Noya
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引用次数: 0
Mathematics and Set Theory:: A Perspective from Gödel's Speedup Theorem 数学与集合论:从Gödel的加速定理看
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.46.1_33
Sakaé Fuchino
Since Gödel’s Incompleteness Theorems were published in 1931, not a few mathematicians have been trying to do mathematics in a framework as weak as possible to remain in a “safe” terrain. While the Incompleteness Theorems do not offer any direct motivations for exploring the terrae incognitae of the alarmingly general and consistency-wise strong settings like the full ZFC or even ZFC with large large cardinals etc., Gödel’s Speedup Theorem, a sort of a variant of the Incompleteness Theorems, in contrast, seems to provide positive reasons for studying mathematics in these powerful extended frameworks in spite of the peril called the (in)consistency strength. In this article of purely expository character, we will examine a version of the Speedup Theorem with a detailed proof and discuss the impact of the Speedup Theorem on the whole mathematics.
自从Gödel的不完备性定理在1931年发表以来,不少数学家一直试图在一个尽可能弱的框架中做数学,以保持在一个“安全”的领域。虽然不完备性定理并没有提供任何直接的动机来探索令人担忧的一般和一致性强设置的未知领域,如完整的ZFC或甚至具有大型基数的ZFC等,Gödel的加速定理,一种不完备性定理的变体,相反,似乎为在这些强大的扩展框架中研究数学提供了积极的理由,尽管存在被称为(in)一致性强度的危险。在这篇纯解释性的文章中,我们将对加速定理的一个版本进行详细的证明,并讨论加速定理对整个数学的影响。
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引用次数: 0
General Systems Research 一般系统研究
Pub Date : 1900-01-01 DOI: 10.4288/KISORON1954.6.172
K. Boulding
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引用次数: 9
On Physical Principles of Quantum Mechanics 论量子力学的物理原理
Pub Date : 1900-01-01 DOI: 10.4288/KISORON.40.2_79
G. Kimura
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引用次数: 0
On the consistency proofs 关于一致性证明
Pub Date : 1900-01-01 DOI: 10.4288/KISORON1954.34.91
T. Arai
D. Hilbert raised the problem to prove consistency of formalized mathematics. In this paper I will expound its background and the status quo of the consistency proofs. First let me explain the intended significance of proving consistency, and a background idea to divide mathematical objects in two, i. e., transfinite/finitary objects. Next I will discuss impacts of the incompleteness theorems to the problem and their interpretation. Finally let me give sketches of the practice of the consistency proofs due to G. Gentzen et al. and their significance, and the present state of the consistency proofs.
希尔伯特提出这个问题是为了证明形式化数学的一致性。本文将阐述其产生的背景和一致性证明的现状。首先,让我解释证明一致性的意图意义,以及将数学对象分为两部分的背景思想,即超限/有限对象。接下来,我将讨论不完备定理对问题的影响及其解释。最后简要介绍G. Gentzen等人的一致性证明实践及其意义,以及一致性证明的现状。
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引用次数: 0
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Journal of the Japan Association for Philosophy of Science
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