According to the species of neo‐logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo‐fregeanism—a general conception of the relation between language and reality; (2) the method of abstraction—a particular method for introducing concepts into language; (3) the scope of logic—second‐order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. (...) The issues discussed include reductionism, rejectionism, the Julius Caesar problem, the Bad Company objections, and the charge that second‐order logic is set theory in disguise.The irresistible metaphor is that pure abstract objects […] are no more than shadows cast by the syntax of our discourse. And the aptness of the metaphor is enhanced by the reflection that shadows are, after their own fashion, real. (Crispin Wright [1992], p. 181–2)But I feel conscious that many a reader will scarcely recognise in the shadowy forms which I bring before him his numbers which all his life long have accompanied him as faithful and familiar friends; (Richard Dedekind [1963], p. 33)1 Introduction2 Logical‐historical preliminaries3 The linguistic turn4 Reductionism5 Rejectionism6 The ‘Julius Caesar’ problem7 Second‐order logic8 Bad company objections9 Conclusion. (shrink)

Can Bradley's Regress be solved by positing relational tropes as truth-makers? No, no more than Russell's paradox can be solved by positing Fregean extensions. To call a trope relational is to pack into its essence the relating function it is supposed to perform but without explaining what Bradley's Regress calls into question, viz. the capacity of relations to relate. This problem has been masked from view by the (questionable) assumption that the only genuine ontological problems that can be intelligibly raised (...) are those that can be answered by providing a schedule of truthmakers. (shrink)

Is the truthmaker principle a development of the correspondence theory of truth? So Armstrong introduced the truthmaker principle to us, but Lewis (2001. Forget about the ‘correspondence theory of truth’. Analysis 61: 275–80.) influentially argued that it is neither a correspondence theory nor a theory of truth. But the truthmaker principle can be correctly understood as a development of the correspondence theory if it’s conceived as incorporating the insight that truth is a relation between truth-bearers and something worldly. And we (...) strengthen rather than weaken the plausibility of the truthmaker principle if we conceive of truth as performing a substantial rather than deflationary role in the truthmaker principle. (shrink)

The contemporary Humean programme that seeks to combine property realism with the denial of necessary connections between distinct existences is flawed. Objects and properties by their very natures are entangled in such connections. It follows that modal notions cannot be reductively analysed by appeal to the concept property, not even if the reducing theory posits an abundant supply of entities to fall under that concept.

One of the modern approaches to the laws of nature regards them as relations between universals. The most advanced version of such an approach has been presented by D. M. Armstrong. The aim of this paper is to reconstruct and interpret Armstrong’s conception but also to evaluate his theory and to point out what expectations from it are inadequate. My point of reference are two objections to Armstrong’s ideas, namely the problems of identification and inference. I claim that Armstrong’s theory (...) in general and his response to both problems in particular are based on some fundamental metaphysical principles, namely: the principle of identity for universals, the principle of non-contradiction, the relational principle of the indiscernibility of identicals and the principle of contingent necessity. The central part of my interpretation shows how from the laws of nature, properly understood, the occurrence of some states of affairs necessarily results provided that these principles are employed. (shrink)

Until recently, the powerful qualities view about properties has been effectively identified with the so-called identity theory. Yet, the difficulties that the latter faces (especially concerning the interpretation of its core claim that dispositionality and qualitativity are identical) have led some metaphysicians to propose (at least provisionally) new versions of the powerful qualities view. This paper discusses the prospects of three such versions: the compound view, the higher-order properties theory and the dual aspect account. It is argued that the compound (...) view is in fact property dualism in disguise, while the higher-order properties theory does not by itself provide a metaphysically convincing solution to Armstrong’s dilemma concerning the modal status of the relation between dispositionality and categoricality. Finally, it is argued that it is not clear whether the dual aspect account is distinct from identity theory and pure powerism. (shrink)

Most metaphysicians agree that powers can exist without being manifested. The main goal of this paper is to show that adherents of an unrestricted version of Dispositional Monism cannot provide a plausible metaphysical account of the difference between a situation in which a power-instance is not manifested and a situation in which a manifestation of that power-instance actually occurs unless they undermine their own view. To this end, two kinds of manifestation-relation are introduced and it is argued that dispositional monists (...) should appeal to the former in order to offer the required account. After defending the introduction of token-level-manifestation-relations against objections to their metaphysical robustness and explanatory non-redundancy, it is finally argued that their existence is incompatible with the core tenet of an unrestricted form of Dispositional Monism because they cannot be powers. (shrink)

The Identity Theory of properties is an increasingly popular metaphysical view that aims to be a middle way between pure powerism and pure categoricalism. This paper’s goal is to highlight three major difficulties that IDT should address in order to be a plausible account of the nature of properties. First, although IDT needs a clear definition of the notion of qualitativity which is both adequate and compatible with the tenets of the theory, all the extant proposals fail to provide such (...) a definition. Second, the suggested definitions of qualitativity are characterised by a metaphysical ‘neutrality’ that threatens to trivialise the important metaphysical debate regarding the question whether properties confer by themselves dispositions on their bearers or need the ‘assistance’ of laws of nature to do that. Finally, none of the extant alternative understandings of the core identity-claim of IDT can adequately meet the objection that the claim in question is unintelligible. (shrink)

Fundamentality plays a pivotal role in discussions of ontology, supervenience, and possibility, and other key topics in metaphysics. However, there are two different ways of characterising the fundamental: as that which is not grounded, and as that which is the ground of everything else. I show that whether these two characterisations pick out the same property turns on a principle—which I call “Dichotomy”—that is of independent interest in the theory of ground: that everything is either fully grounded or not even (...) partially grounded. I then argue that Dichotomy fails: some facts have partial grounds that cannot be complemented to a full ground. Rejecting Dichotomy opens the door to recognising a bifurcation in our notion of fundamentality. I sketch some of the far-reaching metaphysical consequences this might have, with reference to big-picture views such as Humeanism. Since Dichotomy is entailed by the standard account of partial ground, according to which partial grounds are subpluralities of full grounds, a non-standard account is needed. In a technical “Appendix”, I show that truthmaker semantics furnishes such an account, and identify a semantic condition that corresponds to Dichotomy. (shrink)

RÉSUMÉ: Utilisant ce qu'on appelle l'argument du lance-pierres, Davidson soutient que la théorie correspondantiste de la vérité est intenable. Cet argument dépend de deux présuppositions, dont l'une est qu'une phrase vraie ne devrait pas, par substitution de termes singuliers coréférentiels, en venir à correspondre à quelque chose de différent. Je propose dans cet article un argument nouveau pour montrer que cette supposition n'est pas plausible, particulièrement lorsqu'elle s'applique à des énoncés d'identité, ceux-là mêmes dont dépend pour sa formulation l'argument du (...) lance-pierres. (shrink)

States of affairs are considered as ontologically basic. Different from similar accounts, these states of affairs are introduced as simple occurrences or items of a certain kind. The ontological importance of these occurrences lies in their semantical function as exemplars for the introduction of the most basic linguistic devices. The ontological basis proposed is particularist. Universals are an aspect of our routine behaviour as we neglect the differences of particular properties of things. Abstract objects are produced in our routine, language-dependent (...) operations if we leave aside the fact that we usually operate with some definite material. (shrink)

Some truthmaker theorists posit a distinctive kind of entity to solve the problem of providing ontological grounding for negative truths. Recently, A. M. Griffith has raised a general objection against these alleged truthmakers based on an explanatory constraint on truthmaking and the existence condition of these entities. This paper counters the objection by placing it on the horns of a dilemma: the argument must either specify that the existence condition in question is a conceptual matter or insist that the condition (...) is of properly metaphysical substance. I first argue that the former horn cannot be pursued because it makes the objection irrelevant to the alleged claims of truthmaking. I then argue that the latter horn is also highly problematic because simply insisting on the claim begs the question; appreciating this point leads proponents and opponents of the alleged truthmakers to a substantial debate about the metaphysical nature of these entities and the overall theoretical benefit of their postulation. The discussion shows that Griffith's argument fails to establish its conclusion and reveals what is actually required to argue for/against a particular proposal to provide ontological grounding for negative truths. (shrink)

Here, we defend the thesis whereby the event plays a main role of sense in the meaning of certain sentences. This thesis is based on the one hand on recent work in the metaphysics of so-called “happening” entities, which has led to a distinction between concrete physical processes and abstract events, the latter being conceived as psychological constructs accounting for stabilities or changes in the world. Furthermore, we look back at the work on intentionality carried out in the Brentanian school (...) at the turn of the 20th century and we relate abstract events to the mental states of affairs studied by Twardowski but which were then neglected by contemporary philosophers of language. Abstract events, thus characterized, have the contingent property of occurring, when facts obtain and realize them. We suggest that the facts in question correspond to Wittgensteinian states of affairs. (shrink)

In this paper I argue against Armstrong’s recent truthmaking account of possibility. I show that the truthmaking account presupposes modality in a number of different ways, and consequently that it is incapable of underwriting a genuine reduction of modality. I also argue that Armstrong’s account faces serious difficulties irrespective of the question of reduction; in particular, I argue that his Entailment and Possibility Principles are both false.

In this article I intend to show that the inference problem, one of the main objections raised against the anti-Humean theory of natural laws defended by Dretske, Tooley and Armstrong (?DTA theory? for short), can be successfully answered. First, I argue that a proper solution should meet two essential requirements that the proposals made by the DTA theorists do not satisfy. Then I state a solution to the inference problem that assumes a local immanentistic view of universals, a partial definition (...) of the nomic necessitation relation as a relation of existential dependence, and a principle constraining multiple occupancy. I also argue that my solution meets the two requirements. Finally, I deal with non-standard laws such as exclusion laws, causal laws and laws involving spatiotemporal parameters. (shrink)

Inferential Role Semantics is often criticized for being incompatible with the platitude that words of different speakers can mean the same thing. While many assume that this platitude can be accommodated by understanding sameness of meaning in terms of similarity of meaning, no worked out proposal has ever been produced for Inferential Role Semantics. I rectify this important omission by giving a detailed structural account of meaning similarity in terms of graph theory. I go on to argue that this account (...) has a number of attractive features, prominent among them that it makes sameness of meaning probabilistically determine co-reference. (shrink)

In the Grundlagen , Frege offers eight main arguments, together with a series of more minor supporting arguments, against Mill’s view that numbers are “properties of external things”. This paper reviews all eight of these arguments, arguing that none are conclusive.

Discussions about dispositional and categorical properties have become commonplace in metaphysics. Unfortunately, dispositionality and categoricity are disputed notions: usual characterizations are piecemeal and not widely applicable, thus threatening to make agreements and disagreements on the matter merely verbal—and also making it arduous to map a logical space of positions about dispositional and categorical properties in which all parties can comfortably fit. This paper offers a prescription for this important difficulty, or at least an inkling thereof. This will be achieved by (...) comparing pairs of positions and exploring their background metaphysics to discover where alleged agreements and disagreements concerning dispositionality and categoricity really lie; more specifically, the Pure Powers view and the Powerful Qualities view will be under scrutiny. Over this background, the prescription functions by isolating a successful identity-based characterization of categoricity, while abandoning the correspondent identity-based characterization of dispositionality. On the contrary, according to this prescription a property is dispositional if and only if it is solely in virtue of possessing that property that its bearer is assigned a certain dispositional profile. A crucial consequence of this prescription is that, while supporters of the Pure Powers view often characterize their position as an essentialist one, the dispositionality of properties needn’t always be a matter of essence. (shrink)

In this paper, we present an extensional system of mereology suitable to account for the intuitive distinction between heaplike and non-heaplike entities. Since the need to capture this distinction has been a key motivation for non-extensional mereologies, we first assess the main non-extensional systems advanced in the last years and highlight some mereological and metaphysical difficulties they involve. We then advance a novel program, according to which the distinction between heaplike and non-heaplike entities can be accounted for by bringing together (...) the parthood relation characterized by classical extensional mereology and an Aristotelian extensional notion of potential parthood. Thus, while rejecting the thesis of mereological monism, our proposal is consistent with the thesis of mereological extensionalism. We show that within this framework it is possible to characterize the above-mentioned distinction, to define the relation of material constitution, and to capture three fundamental standpoints in metaphysics. (shrink)

In Hommen, I refer to the work of Garcia in Garcia. In this addendum, I would like to supplement additional references to these papers.

The idea of truthmakers is important for doing serious metaphysics, since a truthmaker principle can give us important guidance in finding out what we would like to include into our ontology. Recently, David Lewis has argued against Armstrong’s argument that a plausible truthmaker principle requires us to accept facts. I would like to take a close look at the argument. I will argue in detail that the Humean principle of recombination on which Lewis relies is not plausible (independently of the (...) issue of facts). Then I will show that the right truthmaker principle that vindicates facts is superior to the modified truthmaker principle that Lewis has proposed. This will lead into the topic of being and existence. It turns out that truthmaking and facts are plausible, well suited for one another, and very coherent with a plausible conception of being. (shrink)

Ontology is the study of what there is, what kinds of things make up reality. Ontology seems to be a very difficult, rather speculative discipline. However, it is trivial to conclude that there are properties, propositions and numbers, starting from only necessarily true or analytic premises. This gives rise to a puzzle about how hard ontological questions are, and relates to a puzzle about how important they are. And it produces the ontologyobjectivity dilemma: either (certain) ontological questions can be trivially (...) answered using only uncontroversial premises, or the uncertainties of ontology are really a threat to the truth of basically everything we say or believe. The main aim of this dissertation is to resolve these puzzles and to shed some light on the discipline of ontology. I defend a view inspired by Carnap’s internal-external distinction about what there is, but one according to which both internal and external questions are fully factual and meaningful. In particular, I argue that the trivial arguments are valid, but they do not answer any ontological questions. Furthermore, I propose an account of the function of our talk about properties, propositions and natural numbers. According to this account our talk about them has no ontological presuppositions for its literal and objective truth. This avoids the ontology-objectivity dilemma, and solves the puzzles about ontology. To do this I look at quantification and noun phrases in general, and at their relation to ontology. I argue that quantifiers are semantically underspecified in a certain respect, and play two different roles in communication. I discuss the relation between syntactic form and information structure, the function of certain non-referential, non-quantificational noun phrases, the uses of bare number determiners, and how arithmetic truths are learned and taught. The more metaphysical issues discussed include: inexpressible properties, logicism about arithmetic, nominalism, Carnap’s view about ontology, the problem of universals, the relationship between ontology and objectivity, different projects within ontology, non-existent.... (shrink)

How can a present or future event causally influence one in the past? Even though the case of such a relationship is often quickly dismissed as impossible, this paper suggests that this reaction is hasty and omits interesting as well as substantive arguments and considerations. In an introductory synopsis of the metaphysics of causality, we first present and discuss arguments for and against the possibility of backwards causation. On the other hand, we suggest that a probabilistic notion of causality according (...) to Suppes need not exclude that causes occur temporally after their effects. (shrink)

Do causes necessitate their effects? Causal necessitarianism is the view that they do. One major objection—the “monotonicity objection”—runs roughly as follows. For many particular causal relations, we can easily find a possible “blocker”—an additional causal factor that, had it also been there, would have prevented the cause from producing its effect. However—the objection goes on—, if the cause really necessitated its effect in the first place, it would have produced it anyway—despite the blocker. Thus, CN must be false. Though different (...) from Hume’s famous attacks against CN, the monotonicity objection is no less important. In one form or another, it has actually been invoked by various opponents to CN, past and present. And indeed, its intuitive appeal is quite powerful. Yet, this paper argues that, once carefully analysed, the objection can be resisted—and should be. First, I show how its success depends on three implicit assumptions concerning, respectively, the notion of cause, the composition of causal factors, and the relation of necessitation. Second, I present general motivations for rejecting at least one of those assumptions: appropriate variants of them threaten views that even opponents to CN would want to preserve—in particular, the popular thesis of grounding necessitarianism. Finally, I argue that the assumption we should reject is the one concerning how causes should be understood: causes, I suggest, include an element of completeness that excludes blockers. In particular, I propose a way of understanding causal completeness that avoids common difficulties. (shrink)

Mesmo reconhecido por diversos autores recentes como precursor dos modernos conceitos de produtores de verdade e de produção de verdade, nenhum tratamento destes conceitos na obra de Aristóteles ainda foi apresentado. O presente artigo procura fazer uma apresentação introdutória destes conceitos no pensamento do mestre do Liceu através da análise de algumas passagens retiradas de Categorias e da Metafísica, mostrando que o conceito de produtor de verdade é determinado pela noção de estado de coisas e a relação de produção de (...) verdade por meio dos conceitos de fundação ontológica e de dependência ontológica. (shrink)

The laws of nature have an internal explanatory structure. This leads to interesting questions for metaphysicians of laws. What is the nature of this explanation? Marc Lange has recently argued in favor of metalaws: higher-order laws governing other laws, of which symmetry principles may be an example. Lange argues that his view, unlike its competitors, can make sense of the explanatory power of symmetries. I agree with Lange about the explanatory structure of laws but disagree with him about the nature (...) of this explanation. I then present a Humean view that neatly captures the explanatory power of symmetry principles. (shrink)

The system of realist philosophy developed by John Anderson — situational realism — has recently been dismissed as ‘positivist’ by a prominent critical realist. The reason for this dismissal appears not to be the usual list of ideas deemed positivist, but the conviction that situational realism mistakenly defends a form of actualism, i.e. that to conceive of causal laws as constant conjunctions reduces the domain of the real to the domain of the actual. This is, in part, a misreading of (...) Anderson’s philosophy because, contrary to Hume’s constant conjunction account, Anderson viewed causation as pluralistic and non-linear. However, the critical realist charge does point to two important ontological differences between these realist philosophies — a levels-of-reality thesis and the notion of causal powers. Situational realism has always maintained that the arguments for both lead to difficulties that are logically insurmountable. Unfortunately, this is not addressed in the critical realists’ dismissal of Anderson’s philosophy. Regardless of who makes the charge of positivism, it frequently involves inattention to the real character of its target. (shrink)

Humean compatibilism combines a Humean conception of laws of nature with a strong dual-ability condition for free will that requires that agents possess the ability to decide differently when they make a free decision. On the Humean view of laws of nature, laws of nature are taken to be contingent non-governing descriptions of significant regularities that obtain in the entire history of the universe. On Humean compatibilism, agents are taken to possess dual ability when making free decisions because what the (...) laws of nature will finally be is (at least partially) dependent upon how an agent decides. In this paper, I argue that the tenability of Humean compatibilism depends in part upon what theory of time is correct. More specifically, I argue that Humean compatibilism is untenable in a deterministic universe if eternalism is true. (shrink)

In his paper in the same volume, Sider argues that, of maximalism and quantifier variance, the latter promises to let us make better sense of neo-Fregeanism. I argue that neo-Fregeans should, and seemingly do, reject quantifier variance. If they must choose between these two options, they should choose maximalism.

ABSTRACTIn this paper, I will investigate the compatibility of different metaphysics of time with the powers view. At first sight, it seems natural to combine some sort of powers ontology with a dy...

In this paper, I argue that Hume's solution to a problem that contemporary metaphysicians call “the problem of universals” would be rather trope-theoretical than some other type of nominalism. The basic idea in different trope theories is that particular properties, i.e., tropes are postulated to account for the fact that there are particular beings resembling each other. I show that Hume's simple sensible perceptions are tropes: simple qualities. Accordingly, their similarities are explained by these tropes themselves and their resemblance. Reading (...) Hume as a trope nominalist sheds light on his account of general ideas, perceptions, relations and nominalism. (shrink)

When the meta-philosophies of Nominalism and Realism are compared, it is often said that Nominalism is motivated by a methodology of ontological economy, while Realism would be motivated by an appeal to Common Sense. In this paper, I argue that this association is misguided. After briefly comparing the meta-philosophy of Common Sense and the meta-philosophy of economy, I show that the core motivation in favour of Realism relies in fact in a principle of economy which violates the methodology of Common (...) Sense. I conclude that Common Sense philosophers should endorse Nominalism. (shrink)

I argue that relations between non-identical times, such as the relations, earlier than, later than, or 10 seconds apart, involve contradiction, and only co-temporal relations are non-contradictory, which would leave presentism the only non-contradictory theory of time. The arguments I present are arguments that I have not seen in the literature.

According to one popular criterion of property identity, where X and Y are properties, X is identical with Y if and only if X and Y bestow the same conditional powers on their bearers. In this paper, I argue that this causal criterion of property identity is unsatisfactory, because it fails to provide a sufficient condition for the identification of properties. My argument for this claim is based on the observation that the summing of properties does not entail the summing (...) of the conditional powers that they bestow on an object, but, rather, in some cases their subtraction. If so, the following causal structure seems possible: There are two properties, A and B. Each bestows a different set of conditional powers on its bearer, but the conjunctive property A-and-B bestows exactly the same set of conditional powers as either A or B. If this causal structure is possible, then it creates a serious problem for the causal criterion of property identity. (shrink)

All parts of mereologically ‘gunky’ entities have proper parts. All parts relevant to mereologically ‘junky’ entities *are* proper parts. This essay explores the application of gunk and junk beyond the standard category of material object. One such application yields what is here dubbed ‘deep’ gunk and junk: a material entity x all of whose intrinsic elements from any fundamental ontological category C either have proper parts from C that also are intrinsic elements of x, or are proper parts of entities (...) from C that also are intrinsic elements of x. In addition to being independently interesting, these mereological structures pose a challenge to the bare particular ontology of substance. For bare particulars standardly are assumed to be mereologically simple, yet a deep gunky or junky entity requires any associated bare particulars to be complex. The essay closes by examining the bare particular theorist’s prospects for answering this challenge. (shrink)

Metaphysical orthodoxy holds that a privileged minority of properties carve reality at its joints. These are the so-called fundamental properties. This thesis concerns the contemporary philosophical debate about the nature of fundamental properties. In particular, it aims to answer two questions: What is the most adequate conception of fundamental properties? What is the “big picture” world-view that emerges by adopting such a conception? I argue that a satisfactory answer to both questions requires us to embrace a novel conception of powerful (...) qualities, according to which properties are at once dispositional and qualitative. By adopting the proposed conception of powerful qualities, an original theory of fundamental properties comes to light. I call it Dual-Aspect Account. In this thesis, I defend the Dual-Aspect Account and its superiority with respect to rival views of fundamental properties. I illustrate this claim by examining Dispositionalism, the view defended among others by Alexander Bird and Stephen Mumford, Categoricalism, which has been advocated notably by David Lewis and David Armstrong, and the Identity Theory of powerful qualities, primarily championed by C. B. Martin and John Heil. The latter is the standard conception of powerful qualities. However, in the literature, the Identity Theory faces the charge of contradiction. A preliminary task is therefore to show that a conception of powerful qualities is coherent. To accomplish this aim, I introduce the notion of an aspect of a property. On this interpretation, powerful qualities can be thought of as having dispositional and qualitative aspects. I show that such a conception allows us to disambiguate the claim that a property’s dispositionality is identical with its qualitativity, and evade the charge of contradiction. Aspects bring us other theoretical benefits. I illustrate this claim by showing how the Dual-Aspect Account offers us a promising theory of resemblance. I then compare its merits with David Armstrong’s theory of partial identity. The conclusion of this thesis is that the Dual-Aspect Account is better suited to capturing the world as we find it in everyday life and scientific investigation as compared to the theoretical positions examined. (shrink)

From the popular view that the property of truth adds nothing not already inherent in its bearers it has been inferred that classical theories of truth are thereby refuted. Taking as representative a version of deflationism based on a certain way of interpreting the Tarskian schema convention T–and popularly called "disquotational"–I argue that the view is beset by fatal difficulties. These include: an unavoidable awkwardness in handling indexicals; an inability to accept anything more than a too anemic notion of a (...) truth condition, leaving it defenseless against clearly inadequate alternatives; and an incapacity to show that its characteristic biconditional can support any acceptable dependency claims (made evident by replacing the biconditional with 'because'). Finally, were there no predicate on the order of 'is true', this would not annihilate the property of being true or the current grounds for philosophical inquiries about it. This is an important clue to why deflationary approaches in general are dead ends. (shrink)

The ubiquitous schema ‘All Fs are Gs’ dominates much philosophical discussion on laws but rarely is it shown how actual laws mentioned and used in science are supposed to fit it. After consideration of a variety of laws, including those obviously conditional and those superficially not conditional, I argue that we have good reason to support the traditional interpretation of laws as conditionals of some quantified form with a single object variable. I show how this conclusion impacts on the status (...) of ‘system laws’ and the significance of having only one object variable with regard to the relationship between laws and causal relations. (shrink)

Hossack presents a clearly argued case that numbers (cardinals, ordinals, and ratios) are not objects (as Platonists think), nor properties of objects, but properties of quantities.

Mereology, the theory of parts and wholes, is sometimes used as a framework for categorisation because it is regarded as ontologically innocent in the sense that the mereological fusion of some entities is nothing over and above the entities. In this paper it is argued that an adequate answer to the question of whether the thesis of the ontological innocence of mereology holds relies crucially on the underlying theory of reference. It is then shown that upholding the thesis comes at (...) high costs, viz. at the cost of a quite strong logical background theory or at paradoxical ways of predicating and counting. (shrink)

This paper elaborates the problem of temporal unity for dynamic presentism and diagnoses the source of that problem in the dynamic presentist’s discarding the traditional C-series in its avoidance of McTaggart’s A-series paradox. This C-series provided the fixed structure of time which the transitory aspects of time then followed, and thereby unify those transitory aspects. It then considers ersatzer presentism as an ostensible solution to the problem of temporal unity by providing a new abstract C-series for dynamic presentism. However, after (...) a closer examination of the details of this proposal, it is found that the ersatz-B-series itself needs to be temporally variable to capture the transitory aspects of time that it is meant to track. Consequently, it cannot provide the fixed structure of time required to unify the transitory aspects of time into a temporal series. It is therefore suggested that dynamic presentists look for a more course-grained determiner of temporal progression to construct the presentist-friendly C-series required to unify their transitory aspects of time. (shrink)