EXPANDED EDITION (eBook): -/- Infinity Is Not What It Seems...Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes (...) in a divine Creator infinite in knowledge, power, and benevolence. -/- According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. -/- The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, FOREVER FINITE offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology. -/- This electronic edition of FOREVER FINITE is offered free online for all and is expanded with content that does not appear in the published edition due to print production page limitations. From the Introduction to the Conclusion, Chapters 1–27 are identical to the published print edition, including the page numbering for the chapters. This electronic edition adds an appendix and associated content—specifically, updates to the book’s back matter (68 new endnotes, 17 new bibliographic references, 3 new figure credits, 14 new glossary terms) and front matter (an updated table of contents and this preface note). (shrink)

Numerous authors have attempted to carve an ontological distinction between events and processes on the basis of a widely noted linguistic datum involving count and mass nouns, where events are thought to be analogous to countable objects while processes to non-countable stuff. By assessing the most developed of these proposals—that of Helen Steward’s—this paper locates the motivations behind the project of carving some such distinction between events and processes, and proceeds to offer considerations toward an alternative account of processes—one whose (...) ontology is more akin to that of states than it is to stuff. (shrink)

Recent Neo-Davidsonian accounts of the semantics of progressive constructions of action verbs reflect an ontological distinction between processes or incomplete events on the one hand, and complete events on the other. This paper has two goals. First, it attempts to show that this putative ontological distinction is beset with problems. The second goal of this paper is to offer the beginnings of a positive proposal that seeks to show how the ontologically austere Davidsonian can account for the truth conditions of (...) progressive constructions without the need for an enriched ontology. (shrink)

Little is known about how the minds and bodies of reincarnated agents are represented. In three studies, participants decided which individual, out of multiple contenders, was most likely to be the reincarnation of a deceased person, based upon a single matching feature between the deceased and each of the candidates. While most participants endorsed reincarnation as entailing a new body, they reasoned that candidates with a similar physical mark or a similar episodic autobiographical memory to the deceased, when alive, were (...) more likely than candidates with other physical or psychological based similarities to be the reincarnation of the deceased. As predicted, by increasing the distinctiveness of a matching physical mark and an episodic autobiographical memory, while holding others constant, likelihood judgments for the candidate with the similar distinctive physical mark were significantly higher than candidates with non-distinctive physical marks, but differences between the distinct and general episodic autobiographical memory condition did not reach statistical significance. These findings support the claim that we intuitively represent reincarnated agents as psychologically determined but physically embodied, and that different assumptions underpin the use of physical and psychological features to establish identity in reincarnation contexts. (shrink)

The patent system appears to make three ontological assumptions often associated with scientific realism: there is a natural world that is independent of human knowledge and technology; invented products can be unobservable things; and invented products have causal powers. Although a straightforward reading of patent laws implies these ontological commitments, it is not at all clear that what the patent system has to say about the world has any bearing on issues of scientific realism. While realists might embrace the patent (...) system’s apparent ontology as providing additional support for their view, anti-realists could propose an alternative interpretation of patent law that does not involve realist ontological commitments. Thus, questions about the patent system’s ontology depend on whether one takes patent laws at face value or defends an interpretation of patent law motivated by philosophical theory. Philosophers of science should pay attention to the practice of patenting, even if they ultimately reject the patent system’s apparent ontology and offer an alternative interpretation. (shrink)

In the paper I discuss the problem of the nature of the relationship between objects and their properties. There are three contexts of the problem: of comparison, of change and of interaction. Philosophical explanations of facts indicated in the three contexts need reference to properties and to a proper understanding of a relationship between them and their bearers. My aim is to get closer to this understanding with the use of some models but previously I present the substantialist theory of (...) object and shortly argue for its main theses. The two models enabling us the understanding of the subject–properties structure are: the plastic stuff model and the functional model. On the ground of the first a subject is compared to a piece of plastic stuff which is informed by different shapes. Properties are ways how a subject is, they “give” some “figure” to a subject. The core idea of the second model is that essences (performing the role of subjects) are immanent functional laws governing correlations of properties. As such they are similar to mathematical functions which are saturated by values. The relationship between a subject and properties can be grasped by analogy to such a saturation. (shrink)

The paper deals with Aristotle’s concept of corruption. First, it reconstructs Aristotle’s debate with the pre-Socratics and then it focuses on the candidates for entity that can perish: form, matter, and substance. The text argues against the widely accepted thesis according to which substance is a corruptio simpliciter without further ado. The paper intensely relies upon ancient and medieval commentators of Aristotle. Finally, special attention is devoted to the dimension of time and the problem of actuality.

Several advocates of the lively field of “metaphysics of science” have recently argued that a naturalistic metaphysics should be based solely on current science, and that it should replace more traditional, intuition-based, forms of metaphysics. The aim of the present paper is to assess that claim by examining the relations between metaphysics of science and general metaphysics. We show that the current metaphysical battlefield is richer and more complex than a simple dichotomy between “metaphysics of science” and “traditional metaphysics”, and (...) that it should instead be understood as a three dimensional “box”, with one axis distinguishing “descriptive metaphysics” from “revisionary metaphysics”, a second axis distinguishing a priori from a posteriori metaphysics, and a third axis distinguishing “commonsense metaphysics”, “traditional metaphysics” and “metaphysics of science”. We use this three-dimensional figure to shed light on the project of current metaphysics of science, and to demonstrate that, in many instances, the target of that project is not defined with enough precision and clarity. (shrink)

We present in this paper a novel ontological theory of events whose central tenet is the Aristotelian distinction between the object that changes and the actual subject of change, which is what we call an individual quality. While in the Kimian tradition events are individuated by a triple ⟨ o, P, t ⟩, where o is an object, P a property, and t an interval of time, for us the simplest events are qualitative changes, individuated by a triple ⟨ o, (...) q, t ⟩, where q is an individual quality inhering in o or in one of its parts. Detaching the individuation of events from the property they exemplify results in a fine-grained theory that keeps metaphysics and semantics clearly separate, and lies between the multiplicative and the unitarian approaches. We discuss then the way language refers to events, observing that, in most cases, event descriptions refer to complex, cognitively relevant clusters of co-occurring qualitative changes, which exhibit a synchronic structure depending on the way they are described. Contra Bennett, who famously argued that the semantics of event names ultimately depends on “local context and unprincipled intuitions”, we show how the lexicon provides systematic principles for individuating such clusters and classifying them into kinds. Finally, we address some open challenges in the semantics of locative and manner modifiers. (shrink)

Natural-kind essentialism faces an important but neglected difficulty: the problem of complex essences (PCE). This is the question of how to account for the unity of an instantiated kind-essence when that essence consists of multiple distinct properties, some of which lack an inherent necessary connection between them. My central goal here is to propose an essentialism-friendly solution to this problem. Along the way I also employ some points from that solution to argue for the necessary truth of essentialism (necessary, that (...) is, in all possible worlds in which there are material objects), and to support the essentialist ontology of laws over and against a major rival. (shrink)

In both the historical and contemporary literature on the metaphysics of space, a core dispute is that between relationism and substantivalism. One version of the latter is supersubstantivalism, according to which space is the only kind of substance, such that what we think of as individual material objects are actually just parts of spacetime which instantiate certain properties. If those parts are ontologically dependent on spacetime as a whole, then we arrive at an ontology with only a single genuinely independent (...) substance, namely the entire spacetime manifold. This is monist supersubstantivalism. A view on which the parts of spacetime are ontologically prior to the whole has been called pluralistic supersubstantivalism. As currently formulated, supersubstantivalism carries significant advantages and encounters major difficulties. I argue that some of the latter motivate... (shrink)

What accounts for the linkage of seemingly diverse and inherently separable fundamental properties, such that they are regarded as properties of a single thing? Multiple answers to this question have been put forward in both the historical and current literature, especially from competing substance ontologies and competing theories concerning the metaphysics of natural kinds. Here I lay out and critically assess two ways in which dispositionalism might contribute to the discussion.

Laws of nature are properly (if controversially) conceived as abstract entities playing a governing role in the physical universe. Dispositionalists typically hold that laws of nature are not real, or at least are not fundamental, and that regularities in the physical universe are grounded in the causal powers of objects. By contrast, I argue that dispositionalism implies nomic realism: since at least some dispositions have ceteris paribus clauses incorporating uninstantiated universals, and these ceteris paribus clauses help to determine their dispositions' (...) ranges of manifestation, there are indeed abstracta which play a governing role in the physical universe. After addressing several objections (including the objection that such ‘laws’ lack sufficient independence/externality from the dispositions to count as genuinely governing), I go on to consider some broader implications of this conclusion for other debates in metaphysics and the philosophy of science.1. (shrink)

The four principal competing substance ontologies are substratum theory, bundle theory, primitive substance theory, and hylomorphism. Both historically and in the recent literature, most arguments pertaining to these four theories have been developed under the assumption that only one of them can be true. However there is room in this debate for various forms of pluralism: mild pluralism here refers to the view that while only one of these four theories is true of our world, there is at least one (...) other possible world in which a different substance ontology obtains; moderate pluralism refers to the view that while only one of these four theories is true of our world, there is at least one other possible world in which multiple substance ontologies obtain ; and extreme pluralism refers to the view that our own actual world contains substances belonging to different substance ontologies. In this paper I lay out a novel argument for a version of extreme pluralism. (shrink)

The debate between relational versus constituent substance ontology is longstanding and ongoing. In the contemporary literature it is mostly taken for granted that any version of hylomorphism must count as a constituent substance ontology. Here I argue that a certain sort of relational substance ontology could also legitimately be labeled hylomorphic, and in fact that relational substance ontologists have some good reasons to affirm this version of hylomorphism.

En este trabajo se analiza la cuestión de si el volcado de la mente en una máquina (mind uploading), en caso de ser alguna vez tecnológicamente posible, mantendría o destruiría la identidad personal de quien experimentara el volcado. Se verá cómo podría contestarse a la cuestión en función de los criterios para el mantenimiento de la identidad personal que se asuman. No hay una respuesta única, puesto que la identidad personal se mantendría o no en función de los supuestos aceptados. (...) No obstante, para la mayor parte de las concepciones filosóficas sobre la identidad personal, ésta no se mantendría en un proceso de volcado de la mente en una máquina. Si esto es así, habría que concluir que, desde diversos enfoques, dicho volcado sería equivalente a la desaparición del sujeto, es decir, a su muerte, y solo desde posiciones muy limitadas podría defenderse lo contrario. (shrink)