We construct a mathematization of Derridian "arche-writing" and Deleuzian "haecceity." We posit an infinity-categorification of exigency (infinity-exigency), a higher-dimensional visual epistemology (infinity-visual epistemology), and infinity-stack Wittgenstein ladder. We reframe haecceities in terms of diamonds, in the sense of Scholze, and mathematize the haecceity-and-arche-writing reflection as a pro-diamond. As an exercise in infinity-visual epistemology, we validate a diamond infinity-stack time signature and infinity-stack harmony.

We live in a contingent world, a world that could have been different. A common way to deal with this contingency is by positing the existence of all possibilities. This, however, doesn’t get rid of the contingency – it merely moves it from the third-person view to the first-person view.

This essay aims to redress the contention that epistemic possibility cannot be a guide to the principles of modal metaphysics. I introduce a novel epistemic two-dimensional truthmaker semantics. I argue that the interaction between the two-dimensional framework and the mereological parthood relation, which is super-rigid, enables epistemic possibilities and truthmakers with regard to parthood to be a guide to its metaphysical profile. I specify, further, a two-dimensional formula encoding the relation between the epistemic possibility and verification of essential properties obtaining (...) and their metaphysical possibility or verification. I then generalize the approach to haecceitistic properties, and examine the Julius Caesar problem as a test case. (shrink)

According to the traditional bundle theory, particulars are bundles of compresent universals. I think we should reject the bundle theory for a variety of reasons. But I will argue for the thesis at the core of the bundle theory: that all the facts about particulars are grounded in facts about universals. I begin by showing how to meet the main objection to this thesis (which is also the main objection to the bundle theory): that it is inconsistent with the possibility (...) of distinct qualitative indiscernibles. Here, the key idea appeals to a non-standard theory of haecceities as non-well-founded properties of a certain sort. I will then defend this theory from a number of objections, and finally argue that we should accept it on the basis of considerations of parsimony about the fundamental. (shrink)

Hybrid contingentism combines first-order contingentism, the view that it is contingent what individuals there are, with higher-order necessitism, the view that it is non-contingent what properties and propositions there are (where these are conceived as entities in the range of appropriate higher-order quantifiers). This combination of views avoids the most delicate problems afflicting alternative contingentist positions while preserving the central contingentist claim that ordinary, concrete entities exist contingently. Despite these attractive features, hybrid contingentism is usually faced with rejection. The main (...) reason for this is an objection that crucially involves haecceitistic properties, properties such as being identical to Plato or being identical to Aristotle. The objection alleges that by accepting the necessary existence of such haecceities, hybrid contingentists incur an explanatory commitment that they are unable to discharge, namely that of explaining how it is that certain haecceities ‘lock onto’ their target individuals even when those individuals are absent. To defend hybrid contingentism against this charge, I first clarify the haecceities objection in several respects and consider, in particular, what notion of explanation the objection is operating with. After arguing that it can be fruitfully understood as a challenge to provide metaphysical grounds for certain haecceity facts, I develop a contingentist response to the objection that draws on recent work on the connection between ground and essence. (shrink)

This paper evaluates six contenders which might be invoked by essentialists in order to meet Quine’s challenge, viz., to provide necessary and sufficient conditions for the crossworld identity of individuals: (i) an object’s qualitative character; (ii) matter; (iii) origins; (iv) haecceities or primitive non-qualitative thisness properties; (v) “world-indexed properties”; and (iv) individual forms. The first three candidates, I argue, fail to provide conditions that are both necessary and sufficient for the crossworld identity of individuals; the fourth and fifth criteria are (...) open to the charge that they do not succeed in meeting Quine’s demand in an explanatorily adequate fashion. On balance, then, individual forms, or so I propose, deserve to be taken very seriously as a possible response to Quine’s challenge, especially by neo-Aristotelians who are already committed to a hylomorphic conception of composite concrete particular objects for other reasons. Theorists who also accept a non-modal conception of essence, i.e., a conception according to which essence is not reducible to modality, in addition face the further difficult task, over and above what is required to meet Quine’s challenge, of having to explain how an object’s de re modal profile in some way follows from facts about its essence. Haecceities and world-indexed properties, as I indicate, are unlikely to be of much help with respect to this second challenge, while the forms of hylomorphic compounds are in fact well-suited for this purpose. (shrink)

‘Facticity’ is a concept that classical phenomenologists like Heidegger use to denote the radically contingent or underivably brute conditions of intelligibility. Yet Fichte coins the term, to which he gives the opposing use of denoting unacceptably brute conditions of intelligibility. For him, radical contingency is a problem to be solved by deriving such conditions from reason. Heidegger rejects Fichte's recoil from facticity with his hermeneutics of facticity, supplanting Fichte's metaphor of our always being in reason's hand with the metaphor of (...) our always having been thrown. How does Heidegger inherit and diametrically repurpose Fichte's neologism? Whence the reversed meaning of ‘facticity’ in post-Kantian thought? The answer is Lask's doctoral thesis, which exerts an acknowledged impact on Heidegger's habilitation thesis. Lask interprets ‘facticity’ as Fichte's term for the individuality problem, that is, the resistance of the material particularity of individuals to explanation by the categories genetically deduced from reason. On his interpretation, ‘facticity’ denotes radical contingency in the guise of haecceity, that is, the brute uniqueness of individuals. Lask credits Fichte with registering the problem of individuality, which highlights the world's irreducibly precategorial character. But how is ‘facticity’ transmitted from Lask to Heidegger, given their opposing interpretations of how Fichte understands its meaning? I argue that (1) Lask misreads Fichte as a proponent of facticity, that is, one whose accommodation of radical contingency deflates the Wissenschaftslehre's systematic ambitions, and (2) Lask's misreading, without deceiving Heidegger regarding the sincerity of Fichte's ambitions, encourages Heidegger's own hermeneutics of facticity. (shrink)

Lynne Baker’s case for the incompatibility of naturalism with the first-person perspective raises a range of questions about the relationship between naturalism and the various properties involved in first-person perspectives. After arguing that non-qualitative properties—most notably, haecceities like being Lynne Baker—are ineliminably tied to first-person perspectives, this paper considers whether naturalism and non-qualitative properties are, in fact, compatible. In doing so, the discussion focus on Shamik Dasupgta’s argument against individuals and, in turn, non-qualitative properties. Several strategies for undermining Dasgupta's argument (...) are considered, drawing on de re laws and haecceitistic possibilities. Finally, an analogy is drawn between naturalism and platonism regarding mathematical entities and naturalism's parallel commitment to individuals. I conclude that naturalists are obliged to posit non-qualitative properties. (shrink)

The cognitive sciences tell us that the self is a construct. The visual arts illustrate this fact. Mathematics give it full expression, abstracting the self to a Grothendieck site. This self is a haecceity, an ephemeral this-ness and now-ness. We make up our minds and our histories. That our acts are public, that they communicate effectively, becomes a dialetheic paradox, a deep paradox for our times.

Opponents of presentism have often argued that the presentist has difficulty in accounting for what makes true past-tensed propositions true in a way that is compatible with her metaphysical view of time and reality. The problem is quite general and concerns not only strong truth-maker principles, but also the requirement that truth be grounded in reality. In order to meet the challenge, presentists have proposed many peculiar present aspects of the world as grounds for truths concerning the past, such as (...) uninstantiated haecceities, Meinongian non-existents, ersatz times, and dispositional and distributional properties. The main problem with all such solutions is that any explanation of what grounds a TptP that involves the past is eo ipso a better explanation than any that involves only the present. Thus, the quest for an account of grounding for TptP that is compatible with the presentist ontology and ideology is doomed to be explanatorily deficient with respect to eternalism. In a recent article, Ben Caplan and David Sanson have claimed that presentists should change their strategy and, rather than seeking for exotic grounds for TptP, should adopt a more liberal view of explanation. That is, they should allow themselves to resort to “past directed” explanations, even if they do not accept the past in their ontology and ideology. I argue that such a proposal is not compatible with the tenet that there is a substantial distinction between the ideology of such a version of presentism and that of eternalism. Therefore, the presentist cannot endorse such “deflationist” explanations as an easy way out to the problem of the grounding of TptP. (shrink)

Actualism is the doctrine that the only things there are, that have being in any sense, are the things that actually exist. In particular, actualism eschews possibilism, the doctrine that there are merely possible objects. It is widely held that one cannot both be an actualist and at the same time take possible world semantics seriously — that is, take it as the basis for a genuine theory of truth for modal languages, or look to it for insight into the (...) modal structure of reality. For possible world semantics, it is supposed, commits one to possibilism. In this paper I take issue with this view. To the contrary, I argue that one can take possible world semantics seriously without any commitment to possible worlds or possibilism and hence remain in full compliance with actualist scruples. Moreover, one can do so without without invoking either "ersatz" worlds or haecceities. (shrink)

Jason Bowers and Meg Wallace have recently argued that those who hold that every individual instantiates a ‘haecceity’ are caught up in a Euthyphro-style dilemma when confronted with familiar cases of fission and fusion. Key to Bowers and Wallace’s dilemma are certain assumptions about the nature of metaphysical explanation and the explanatory commitments of belief in haecceities. However, I argue that the dilemma only arises due to a failure to distinguish between providing a metaphysical explanation of why a fact (...) holds vs. a metaphysical explanation of what it is for a fact to hold. In the process, I also shed light on the explanatory commitments of belief in haecceities. (shrink)

Ladyman and Ross argue that quantum objects are not individuals and use this idea to ground their metaphysical view, ontic structural realism, according to which relational structures are primary to things. LR acknowledge that there is a version of quantum theory, namely the Bohm theory, according to which particles do have denite trajectories at all times. However, LR interpret the research by Brown et al. as implying that "raw stuff" or haecceities are needed for the individuality of particles of BT, (...) and LR dismiss this as idle metaphysics. In this paper we note that Brown et al.'s research does not imply that haecceities are needed. Thus BT remains as a genuine option for those who seek to understand quantum particles as individuals. However, we go on to discuss some problems with BT which led Bohm and Hiley to modify it. This modified version underlines that, due to features such as context-dependence and non-locality, Bohmian particles have a very limited autonomy in situations where quantum effects are non-negligible. So while BT restores the possibility of quantum individuals, it also underlines the primacy of the whole over the autonomy of the parts. The later sections of the paper also examine the Bohm theory in the general mathematical context of symplectic geometry. This provides yet another way of understanding the subtle, holistic and dynamic nature of Bohmian individuals. We finally briefly consider Bohm's other main line of research, the "implicate order", which is in some ways similar to LR's structural realism. (shrink)

The thesis is concerned with the outline of an ontology which admits only particulars and with the persistence of particulars through time. In Chapter 1 it is argued that a neglected class of particulars--the cases--have to be employed in order to solve the problem of universals, i.e., to give a satisfactory account of properties and kinds. In Chapter 2, two ways in which particulars could persist though time are distinguished. Difficulties are raised for the view that everything perdures through time, (...) i.e., the view that each persisting thing is a sum of continuous and dependent temporal parts. Objections to the view that people perdure are presented in Chapter 3, objections to the effect that such a view cannot capture salient truths about the nature of experience and wrongly implies that our special concern for ourselves, our friends and our familiars is irrational. An alternative account of persisting particulars is provided in Chapter 4 by way of given a theory of substances. Finally, in Chapter 5, this alternative account is applied to the issue of personal identity and to the issue of the identity over time of living things in general. A Hylomorphic View of living things is sketched and briefly defended. ;Throughout, certain themes recur: essentialism is taken to be relatively unproblematic, various connections between time and modality are exploited, reductionism is regarded as bearing the onus of proof, characterless entities such as prime matter, substrata, bare particulars and haecceities are rejected and the differences between the animate and the inanimate are emphasized. (shrink)

This thesis develops a detailed account of the emergence of for all practical purposes continuous, quasi-classical world histories from the discontinuous, stochastic micro dynamics of Minimal Bohmian Mechanics (MBM). MBM is a non-relativistic quantum theory. It results from excising the guiding equation from standard Bohmian Mechanics (BM) and reinterpreting the quantum equilibrium hypothesis as a stochastic guidance law for the random actualization of configurations of Bohmian particles. On MBM, there are no continuous trajectories linking up individual configurations. Instead, individual configurations (...) are actualized independently of each other, carving out the decoherence-induced branching structure of the universal wave function. Yet, by contrast to the Everett interpretation, branches of the universal wave function are not actualized in parallel, i.e. all at the same time. Rather, world branches, on MBM, are actualized sequentially. -/- For an introduction to MBM, the transition from BM to MBM is described, and their empirical equivalence is established. I present the conditions under which MBM can be classified as a primitive ontology (PO) theory, regarded as crucial for the acceptance of a theory as Bohmian by many proponents of BM. While rendering MBM compatible with the PO approach, it must not fall prey to the problem of communication, arising from the two-space reading of BM. -/- The issue of temporal solipsism, identified by Bell as a serious problem for his “Everett (?) theory” – the historic predecessor of MBM – is discussed. I argue that Barbour’s time capsule approach does not provide a satisfactory solution. In particular, his adopting a more than minimal psychophysical parallelism between brain processes and experience of macroscopic change is argued to be reasonable in light of our current best neuroscience, yet problematic for theories relying solely on time capsules, understood as highly structured, individual, internally static configurations. As a solution, I introduce worlds, and world histories, as key concepts in providing a link between MBM’s micro dynamics and macroscopic phenomena. Worlds, other than time capsules, are coarse-grained regions in phase- or configuration space, defined as sets of possible micro states satisfying a relation of sufficient similarity from a macroscopic perspective, with respect to a given micro state. Hence, worlds may overlap. -/- I argue that worlds thus construed are a reasonable option for replacing the disjoint macro regions of phase space, resulting from the usual way of partitioning phase space in the standard framework of Boltzmannian statistical mechanics. This move solves the issue of discontinuous change of macro variables upon the micro state crossing the boundary between different macro regions. -/- I adapt this move for MBM’s discontinuous micro dynamics in configuration space. Issues revolving around the microscopic-macroscopic distinction, particle identity, impenetrability and haecceity in light of the desideratum of particle number conservation, etc., are discussed. I provide a detailed explanation of how overlapping worlds in MBM form world histories, thereby linking up macroscopically distinct worlds. Thus, the problem of temporal solipsism is resolved in a way that is compatible with a more than minimal psychophysical parallelism. (shrink)

The Identity of Indiscernibles is the principle that objects cannot differ only numerically. It is widely held that one interpretation of this principle is trivially true: the claim that objects that bear all of the same properties are identical. This triviality ostensibly arises from haecceities (properties like \textit{is identical to a}). I argue that this is not the case; we do not trivialize the Identity of Indiscernibles with haecceities, because it is impossible to express the haecceities of indiscernible objects. I (...) then argue that this inexpressibility generalizes to all of their trivializing properties. Whether the Identity of Indiscernibles is trivially true ultimately turns on whether we can quantify over properties that we cannot express. (shrink)

Analysis is given of the Omega Point cosmology, an extensively peer-reviewed proof (i.e., mathematical theorem) published in leading physics journals by professor of physics and mathematics Frank J. Tipler, which demonstrates that in order for the known laws of physics to be mutually consistent, the universe must diverge to infinite computational power as it collapses into a final cosmological singularity, termed the Omega Point. The theorem is an intrinsic component of the Feynman-DeWitt-Weinberg quantum gravity/Standard Model Theory of Everything (TOE) describing (...) and unifying all the forces in physics, of which itself is also required by the known physical laws. With infinite computational resources, the dead can be resurrected--never to die again--via perfect computer emulation of the multiverse from its start at the Big Bang. Miracles are also physically allowed via electroweak quantum tunneling controlled by the Omega Point cosmological singularity. The Omega Point is a different aspect of the Big Bang cosmological singularity--the first cause--and the Omega Point has all the haecceities claimed for God in the traditional religions. -/- From this analysis, conclusions are drawn regarding the social, ethical, economic and political implications of the Omega Point cosmology. (shrink)

I shall in this paper, assume three basic moments. My principal objective is to show that belief in reincarnation from the Igbo narrative is logically coherent with simultaneous subsistence in the ancestral realm. In the first, I engage the question of metaphysics from a socio-hermeneutic perspective to decipher its position as characteristically Igbo; in the second, I propose a scale of eschatology and juxtapose it with the Christian schema such that, I exploit my provision of an Igbo anthroposophy to show (...) how a unique individual exists that is still, the reincarnation of an ancestor. In the final analysis, I demonstrate the uniqueness of the eschatological schemes of the Igbos and Christians, in an effort to interpretatively spell out their fundamental differences and apparent similarities. With this in mind, I am pledged by intellectual troth to portraying the consistence of individual haecceity and reincarnation, making use of Igbo anthroposophy as my operative argumentatory legerdemain. (shrink)

I propose a novel metaphysical explanation of identity and distinctness facts called the Modal Proposal. According to the Modal Proposal, for each identity fact – that is, each fact of the form a=b – that fact is metaphysically explained by the fact that it is necessary that the entities involved are indiscernible, and for each distinctness fact –that is, each fact of the form a≠b – that fact is metaphysically explained by the fact that it is possible for the entities (...) involved to be discernible. I argue that the Modal Proposal has greater payoffs at less cost than any of its competitors. It gives simple, uniform, and intuitive explanations of identity and distinctness that conserve longstanding philosophical insights about identity that go back to Leibniz. It does this while making our fundamental base more parsimonious, determining whether controversial cases of identity or distinctness are possible, and expanding our understanding of these central philosophical relations. It does all this while avoiding controversial ontological commitments. (shrink)

In order to make sense of Scotus’s claim that rationality is perfected only by the will, a Scotistic doctrine of truth is developed in a speculative way. It is claimed that synthetic a priori truths are truths of the will, which are existential truths. This insight holds profound theological implications and is used on the one hand to criticize Kant's conception of existence, and on the other hand, to offer another explanation of the sense according to which the existence of (...) things is grasped. (shrink)

It is very natural to think that if two people, x and y, are qualitatively identical and have committed qualitatively identical actions, then it cannot be the case that one has committed something wrong whereas the other did not. That is to say, if x and y differ in their moral status, then it must be because x and y are qualitatively different, and not simply because x is identical to x and not identical to y. In this fictional dialogue (...) between Socrates and Cantor involving infinitely many qualitatively identical agents, this assumption is challenged. (shrink)

In this paper, I develop a theory on which each of a thing’s abundant properties is immanent in that thing. On the version of the theory I will propose, universals are abundant, each instantiated universal is immanent, and each uninstantiated universal is such that it could have been instantiated, in which case it would have been immanent. After setting out the theory, I will defend it from David Lewis’s argument that such a combination of immanence and abundance is absurd. I (...) will then advocate the theory on the grounds that it accomplishes all of Lewis’s “new work” while providing a gain in parsimony and a new account of fine-grained content. I will close with a discussion of how the theory also affords a new reply to two objections to uninstantiated universals: Armstrong’s charge that they are inconsistent with naturalism, and a Benacerraf-Field-style objection about epistemic access. (shrink)

This paper attempts to define indexicality so as to semantically distinguish indexicals from proper names and definite descriptions. The widely-accepted approach that says that indexical reference is distinctive in being dependent on context of use is criticized. A reductive approach is proposed and defended that takes an indexical to be (roughly) an expression that either is or is equivalent to ‘here’ or ‘now’, or is such that a tokening of it refers by relating something to the place and/or time that (...) would have been referred to had ‘here’ and ‘now’ been tokened instead. Alternative reductive approaches are criticized. (shrink)