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Loops and the geometry of chance 循环和概率几何
Pub Date : 2025-01-21 DOI: 10.1111/nous.12541
Jens Jäger
Suppose your evil sibling travels back in time, intending to lethally poison your grandfather during his infancy. Determined to save grandpa, you grab two antidotes and follow your sibling through the wormhole. Under normal circumstances, each antidote has a 50% chance of curing a poisoning. Upon finding young grandpa, poisoned, you administer the first antidote. Alas, it has no effect. The second antidote is your last hope. You administer it—and success: the paleness vanishes from grandpa's face, he is healed. As you administered the first antidote, what was the chance that it would be effective? This essay offers a systematic account of this case, and others like it. The central question is this: Given a certain time travel structure, what are the chances? In particular, I'll develop a theory about the connection between these chances and the chances in ordinary, time‐travel‐free contexts. Central to the account is a Markov condition involving the boundaries of spacetime regions.
假设你邪恶的兄弟穿越回到过去,打算在你祖父幼年时毒死他。为了救爷爷,你拿了两颗解药,跟着你的兄弟姐妹穿过虫洞。正常情况下,每种解药都有50%的几率治愈中毒。发现年轻的爷爷中毒后,你给他注射了第一剂解药。唉,它没有效果。第二种解药是你最后的希望。你给爷爷施了药,成功了:爷爷脸上的苍白消失了,他痊愈了。当你注射第一剂解药时,它有效的几率有多大?这篇文章系统地描述了这个案例,以及其他类似的案例。核心问题是:给定一个特定的时间旅行结构,发生这种情况的可能性有多大?特别地,我将发展一个关于这些机会与普通的、没有时间旅行的情况下的机会之间的联系的理论。这个解释的核心是一个涉及时空区域边界的马尔可夫条件。
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引用次数: 0
A trope‐theoretic solution to the missing value problem 缺失值问题的修辞理论解
Pub Date : 2025-01-18 DOI: 10.1111/nous.12543
Paul Audi
One metaphysical problem about laws is how to find appropriate truthmakers for fully general functional laws. What makes it true, for instance, that an uninstantiated mass would interact with others as prescribed by laws concerning mass? This is the missing value problem. D. M. Armstrong attempted to solve it by appeal to determinable universals. I will offer a trope‐theoretic solution that, while in some ways more metaphysically adventurous than Armstrong's view, avoids commitment to universals and determinables (as different from their determinates). The solution makes use of a special conception of tropes as capable of intrinsic change. It also makes use of a distinction between two ways of having a causal power (a distinction we should make in any case). Existing powers‐based approaches to the problem struggle to avoid the idea that powers mysteriously point beyond themselves. But if tropes are capable of intrinsic change in the way I propose, they can account for the full generality of laws with minimal pointing beyond, and can do so while retaining natures that are credibly intrinsic.
关于法律的一个形而上学问题是如何为完全一般功能的法律找到合适的真理制造者。例如,一个未实例化的质量会按照有关质量的定律与其他质量相互作用,是什么使它成为事实?这就是缺失值问题。阿姆斯壮试图通过求助于可决定的共相来解决这个问题。我将提供一种比喻理论的解决方案,虽然在某些方面比阿姆斯特朗的观点更具形而上学的冒险性,但它避免了对共相和可决性的承诺(与它们的决定因素不同)。该解决方案利用了一种特殊的概念,即能够发生内在变化的修辞。它还利用了两种具有因果力的方式之间的区别(这是我们在任何情况下都应该做的区分)。现有的以权力为基础的解决问题的方法努力避免权力神秘地指向自身之外的想法。但如果比喻能够以我提出的方式发生内在变化,那么它们就可以解释定律的全部普遍性,并且可以在保留可信的内在本质的同时做到这一点。
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引用次数: 0
The simplicity of physical laws 物理定律的简单性
Pub Date : 2025-01-18 DOI: 10.1111/nous.12542
Eddy Keming Chen
Physical laws are strikingly simple, yet there is no a priori reason for them to be so. I propose that nomic realists—Humeans and non‐Humeans—should recognize simplicity as a fundamental epistemic guide for discovering and evaluating candidate physical laws. This proposal helps resolve several longstanding problems of nomic realism and simplicity. A key consequence is that the presumed epistemic advantage of Humeanism over non‐Humeanism dissolves, undermining a prominent epistemological argument for Humeanism. Moreover, simplicity is shown to be more connected to lawhood than to mere truth.
物理定律非常简单,但没有先验的理由证明它们是如此。我建议经济学现实主义者——休谟主义者和非休谟主义者——应该认识到简单性是发现和评估候选物理定律的基本认知指南。这一提议有助于解决几个长期存在的经济现实主义和简单性问题。一个关键的结果是,假定的人道主义优于非人道主义的认识论优势消失了,破坏了人道主义的一个突出的认识论论点。此外,简单被证明更多地与法律联系在一起,而不是纯粹的真理。
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引用次数: 0
The question‐centered account of harm and benefit 以问题为中心的危害和利益的叙述
Pub Date : 2024-12-16 DOI: 10.1111/nous.12540
Aaron Thieme
The counterfactual comparative account of harm and benefit (CCA) has faced a barrage of objections from cases involving preemption, overdetermination, and choice. In this paper I provide a unified diagnosis of CCA's vulnerability to these objections: CCA is susceptible to them because it evaluates each act by the same criterion. This is a mistake because, in a sense I make precise, situations raise prudential questions, and only some acts—the relevant alternatives—are directly relevant to these questions. To answer the objections, we must revise CCA so that its evaluations foreground the relevant alternatives. The result is a question‐centered account of harm and benefit.
反事实的伤害和利益比较解释(CCA)面临着来自涉及先发制人、过度决定和选择的案件的大量反对意见。在本文中,我对CCA对这些反对意见的脆弱性提供了一个统一的诊断:CCA容易受到它们的影响,因为它用相同的标准评估每个行为。这是一个错误,因为在某种意义上,我说得很精确,情况提出了谨慎的问题,只有一些行为——相关的选择——与这些问题直接相关。为了回答这些反对意见,我们必须修改CCA,使其评估突出相关的替代方案。结果是一个以问题为中心的危害和利益的叙述。
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引用次数: 0
The bayesian and the abductivist 贝叶斯论者和归纳论者
Pub Date : 2024-11-21 DOI: 10.1111/nous.12539
Mattias Skipper, Olav Benjamin Vassend
A major open question in the borderlands between epistemology and philosophy of science concerns whether Bayesian updating and abductive inference are compatible. Some philosophers—most influentially Bas van Fraassen—have argued that they are not. Others have disagreed, arguing that abduction, properly understood, is indeed compatible with Bayesianism. Here we present two formal results that allow us to tackle this question from a new angle. We start by formulating what we take to be a minimal version of the claim that abduction is a rational pattern of reasoning. We then show that this minimal abductivist principle, when combined with Bayesian updating by conditionalization, places surprisingly strong and controversial constraints on how we must measure explanatory power. The lesson is not that Bayesianism is definitely incompatible with abduction, but that both compatibilism and incompatibilism have hitherto unrecognized consequences. We end the paper by formulating these consequences in the form of a trilemma.
在认识论与科学哲学的交界处,一个重大的未决问题涉及贝叶斯更新与归纳推理是否兼容。一些哲学家--最有影响力的是巴斯-范-弗拉森--认为它们不兼容。另一些人则持不同意见,认为正确理解归纳推理确实与贝叶斯主义兼容。在这里,我们提出两个形式化的结果,让我们能够从一个新的角度来解决这个问题。我们首先提出了我们认为是 "诱导是一种合理的推理模式 "这一主张的最小版本。然后,我们证明,这个最小化的诱导原则与贝叶斯条件化更新相结合,对我们必须如何衡量解释力施加了令人惊讶的强烈而有争议的限制。我们得到的教训并不是贝叶斯主义肯定与归纳法不相容,而是兼容论和不兼容论都有迄今为止尚未认识到的后果。在本文的最后,我们以三难的形式阐述了这些后果。
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引用次数: 0
Heavy‐duty conceptual engineering 重型概念工程
Pub Date : 2024-11-18 DOI: 10.1111/nous.12538
Steffen Koch, Jakob Ohlhorst
Conceptual engineering is the process of assessing and improving our conceptual repertoire. Some authors have claimed that introducing or revising concepts through conceptual engineering can go as far as expanding the realm of thinkable thoughts and thus enable us to form beliefs, hypotheses, wishes, or desires that we are currently unable to form. If true, this would allow conceptual engineers to contribute to solving stubborn problems – problems that cannot be solved with our current ways of thinking. We call this kind of conceptual engineering heavy‐duty conceptual engineering. As exciting as the idea of heavy‐duty conceptual engineering sounds, it has never been developed or defended. In this paper, we pursue a two‐fold goal. First, to offer a theory of heavy‐duty conceptual engineering that distinguishes it from other kinds of conceptual engineering; second, to show that heavy‐duty conceptual engineering is possible, both in theory and in practice, and to explain how it can be applied in the service of solving stubborn problems. The central idea is that heavy‐duty conceptual engineering can enhance the semantic expressive power of a conceptual system by the use of bootstrapping processes.
概念工程是对我们的概念库进行评估和改进的过程。一些作者声称,通过概念工程引入或修改概念,可以拓展可思考的思想领域,从而使我们形成目前无法形成的信念、假设、愿望或欲望。如果这是真的,这将使概念工程师能够为解决顽固问题--我们目前的思维方式无法解决的问题--做出贡献。我们称这种概念工程为重型概念工程。尽管重型概念工程的想法听起来令人兴奋,但它从未得到发展或辩护。在本文中,我们追求双重目标。首先,提出重型概念工程的理论,将其与其他类型的概念工程区分开来;其次,证明重型概念工程在理论和实践上都是可行的,并解释如何将其应用于解决顽固问题。其核心思想是,重型概念工程可以通过使用引导过程来增强概念系统的语义表达能力。
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引用次数: 0
A style guide for the structuralist 结构主义者的风格指南
Pub Date : 2024-11-18 DOI: 10.1111/nous.12537
Lucy Carr
Ontic structuralists claim that there are no individual objects, and that reality should instead be thought of as a “web of relations”. It is difficult to make this metaphysical picture precise, however, since languages usually characterize the world by describing the objects that exist in it. This paper proposes a solution to the problem; I argue that when discourse is reformulated in the language of the calculus of relations ‐ an algebraic logic developed by Alfred Tarski ‐ it can be interpreted without presupposing the existence of objects. What is distinctive about the language of the calculus is that it contains no operator that resembles a quantifier, and yet it can be used to paraphrase any sentence expressible in first‐order logic. Since the use of a first‐order quantifier (or some similar operator) is usually what establishes commitment to an ontology of objects, and since the calculus of relations eschews the quantifier in favor of a composition operator that can be given a natural interpretation consistent with structuralist metaphysics, the calculus is an ideal language for the structuralist to use to describe the world.
本体结构主义者声称,不存在单独的对象,现实应被视为 "关系网"。然而,由于语言通常通过描述存在于世界中的对象来描述世界的特征,因此很难精确地描述这一形而上学图景。本文提出了解决这一问题的方法;我认为,如果用阿尔弗雷德-塔尔斯基(Alfred Tarski)提出的代数逻辑--"关系微积分"(calculations of relations)的语言来重新表述话语,就可以在不预设对象存在的情况下对其进行解释。关系微积分语言的独特之处在于,它不包含任何类似于量词的运算符,但却可以用来解析一阶逻辑中可表达的任何句子。由于使用一阶量词(或类似的运算符)通常是建立对对象本体论的承诺,而关系微积分摒弃了量词,转而使用了一个可以被赋予与结构主义形而上学一致的自然解释的组合运算符,因此微积分是结构主义者用来描述世界的理想语言。
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引用次数: 0
From modality to millianism 从模态到碾压
Pub Date : 2024-11-12 DOI: 10.1111/nous.12536
Nathan Salmón
A new argument is offered which proceeds through epistemic possibility (for all S knows, p), cutting a trail from modality to Millianism, the controversial thesis that the semantic content of a proper name is simply its bearer. New definitions are provided for various epistemic modal notions. A surprising theorem about epistemic necessity is proved. A proposition p can be epistemically necessary for a knowing subject S even though p is a posteriori and S does not know p. The identity relation is well‐behaved in metaphysically possible worlds but can go rogue in epistemically possible worlds. Whereas it can be epistemically possible that Lewis Carroll is not Charles Lutwidge Dodgson, this is not epistemically possible in the manner that anti‐Millianism requires.
本文提出了一个新论点,通过认识论的可能性(所有 S 都知道 p),从模态到米利安主义(Millianism),即专名的语义内容仅仅是其承载者这一有争议的论点。该书为各种认识论模态概念提供了新定义。证明了关于认识论必然性的一个惊人定理。即使命题 p 是后验的,而且 S 不知道 p,但对于一个认识主体 S 来说,命题 p 在认识论上可能是必要的。虽然刘易斯-卡罗尔不是查尔斯-路特维奇-道奇森在认识论上是可能的,但这在反威廉主义所要求的认识论上是不可能的。
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引用次数: 0
The censor's burden 审查员的负担
Pub Date : 2024-11-09 DOI: 10.1111/nous.12534
Hrishikesh Joshi
Censorship involves, inter alia, adopting a certain type of epistemic policy. While much has been written on the harms and benefits of free expression and the associated rights thereof, the epistemic preconditions of justified censorship are relatively underexplored. In this paper, I argue that examining intrapersonal norms of how we ought to treat evidence that might come to us over time can shed light on interpersonal norms of evidence generation and sharing that are relevant in the context of censorship. The upshot is that justified censorship requires the censor to meet a very high epistemic burden regarding the target proposition(s)—importantly, one that exceeds knowledge.
除其他外,审查涉及采取某种认识论政策。虽然关于自由表达的害处和好处以及相关权利的论述已经很多,但对合理审查的认识论先决条件的探讨却相对不足。在本文中,我认为,研究我们应该如何对待随着时间推移可能会出现在我们面前的证据的个人内部规范,可以揭示与审查相关的证据生成和共享的人际规范。其结果是,合理的审查要求审查者在目标命题方面承担非常高的认识论责任--重要的是,这种责任超出了知识范围。
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引用次数: 0
Paradoxes of infinite aggregation 无限聚合的悖论
Pub Date : 2024-11-08 DOI: 10.1111/nous.12535
Frank Hong, Jeffrey Sanford Russell
There are infinitely many ways the world might be, and there may well be infinitely many people in it. These facts raise moral paradoxes. We explore a conflict between two highly attractive principles: a Pareto principle that says that what is better for everyone is better overall, and a statewise dominance principle that says that what is sure to turn out better is better on balance. We refine and generalize this paradox, showing that the problem is faced by many theories of interpersonal aggregation besides utilitarianism, and by many decision theories besides expected value theory. Considering the range of consistent responses, we find all of them to be quite radical.
世界可能有无限多的样子,世界上也可能有无限多的人。这些事实引发了道德悖论。我们探讨了两个极具吸引力的原则之间的冲突:一个是帕累托原则,即对每个人都更好的原则;另一个是状态主导原则,即结果肯定更好的原则。我们完善并推广了这一悖论,表明除了功利主义之外,许多人际聚合理论都面临这一问题,除了预期价值理论之外,许多决策理论也面临这一问题。考虑到一致回应的范围,我们发现所有这些回应都相当激进。
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引用次数: 0
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Noûs
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