The Monad’s components are as follows: 1: Monism as the state of eternal undifferentiation 2: Dualism as the state of infinite differentiations -/- MONAD = ET = INF ET Ψ INF.

One of the main obstacles for panpsychism, the view that consciousness is fundamental and ubiquitous, is the difficulty of explaining how simple subjects could combine to form complex subjects. Known as the subject combination problem, it poses a possibly insurmountable challenge to the view. In this paper, I will assume that this challenge cannot be overcome and instead present a version of panpsychism that completely avoids talk of combination. Inspired by Gottfried Wilhelm Leibniz’s metaphysics of monads, I will focus (...) on a relational explanation of how simple subjects could constitute complex experiences, without them having to combine in virtue of their subjectivity. I call this view _monadic panpsychism_. Additionally, my proposal will not rely on emergence and so it will circumvent problems commonly faced by emergentist accounts. As I will argue, monadic panpsychism is preferable to combinatory and emergentist panpsychism because it faces a significantly less worrisome set of objections. Apart from being unaffected by the seemingly insuperable issue of subject combination, I will demonstrate that monadic panpsychism also has tools to address other kinds of the combination problem. That alone justifies the need for a new formulation of panpsychism, one which faces unique difficulties but also offers unique solutions. (shrink)

The problematic vagueness inherent to the study of being requires an approach that transcends the use of a methodology pertaining to solely one research area. In the following pages we will explore the categories of being, their metaphysical meaning and their interrelations, approaching them via heuristic methods that incorporate symbolic mathematical abstraction and music theory analogies. We will propose a monadic system for explicating how the modes of being interact with each other, also exposing a harmonic model of the universe (...) derived from these hypotheses (Chapter I). The nature of consciousness and its properties will be investigated in Chapter II, followed by a research concerning possible internal self-adjustments of total-being-for-itself that might offer insights regarding the temporality and necessity of individual consciousnesses. The aim of this paper is to coalesce the categories of being (in-itself, for-itself, the Others) into a comprehensive system that could account as a unified ontological model compatible with inferences related to phenomenal manifestations. (shrink)

Leibniz has almost universally been represented as denying that created substances, including human minds and the souls of animals, can causally interact either with one another or with bodies. Yet he frequently claims that such substances are capable of interacting in the special sense of what he calls 'ideal' interaction. In order to reconcile these claims with their favored interpretation, proponents of the traditional reading often suppose that ideal action is not in fact a genuine form of causation but instead (...) a merely apparent influence which serves to 'save the appearances.' I argue that this traditional reading distorts Leibniz's thought and that he actually considers ideal action a genuine (though non-standard) form of causation. (shrink)

In this paper I address a structurally similar tension between phenomenalism and realism about matter in Leibniz and Kant. In both philosophers, some texts suggest a starkly phenomenalist view of the ontological status of matter, while other texts suggest a more robust realism. In the first part of the paper I address a recent paper by Don Rutherford that argues that Leibniz is more of a realist than previous commentators have allowed. I argue that Rutherford fails to show that Leibniz (...) is any less an idealist than his main target, Robert Merrihew Adams, does. I distinguish various kinds of idealism about bodies that Leibniz might have held, and attempt to determine which package of views represents his considered view. In the second part of the paper I situate Kant’s idealism within the same coordinates. I argue that, abstracting from deep differences in their metaphysics and epistemology, Kant and Leibniz have structurally very similar views on the ontological status of matter and bodies. I conclude that the key to understanding the realist strand in their ontology of matter is understanding the way in which, for both thinkers, the forces in bodies are appearances of forces of more fundamental entities, either monads or things in themselves. (shrink)

In this paper, I aim to offer a clear explanation of what monadic domination, understood as a relation obtaining exclusively among monads, amounts to in the philosophy of Leibniz (and this insofar as monadic domination is conceived by Leibniz not to account for the substantial unity of composite substances). Central to my account is the Aristotelian notion of a hierarchy of activities, as well as a particular understanding of the relations that obtain among the perceptions of monads that (...) stand in relations of monadic domination and subordination. (shrink)

To escape from the labyrinth of the continuum, Leibniz maintains, we must think very differently about the nature of space, time, bodies, and substances; and in particular we must posit an infinity of simple substances or monads. The main aim of this historically rich and interpretively provocative book is to explain why Leibniz says such things by examining his purported solution and how he arrived at it. Each of the book’s seven chapters focuses on a different “Ariadnean thread” that (...) supposedly helped Leibniz find his way out of the labyrinth. They concern the themes of “composition, aggregation, atoms, forms, motion, substance, and continuation in existence” (6). (shrink)

Jonathan Edwards' article “Modern Monads: Leibniz, Continuity, and the Stream of Consciousness” deals with Gottfried Wilhelm Leibniz's (1646– 1716) famous monadology, especially with the perceiving entity, i.e. the subject or monad, and its identity over time. Edwards asks whether it is possible to combine Leibniz's theory of monads with modern biology and physics. His response is affirmative. I will start with some general points about his article, and then I will introduce it in details.

The reconstruction of Leibniz’s metaphysics that Deleuze undertakes in The Fold provides a systematic account of the structure of Leibniz’s metaphysics in terms of its mathematical foundations. However, in doing so, Deleuze draws not only upon the mathematics developed by Leibniz—including the law of continuity as reflected in the calculus of infinite series and the infinitesimal calculus—but also upon developments in mathematics made by a number of Leibniz’s contemporaries—including Newton’s method of fluxions. He also draws upon a number of subsequent (...) developments in mathematics, the rudiments of which can be more or less located in Leibniz’s own work—including the theory of functions and singularities, the Weierstrassian theory of analytic continuity, and Poincaré’s theory of automorphic functions. Deleuze then retrospectively maps these developments back onto the structure of Leibniz’s metaphysics. While the Weierstrassian theory of analytic continuity serves to clarify Leibniz’s work, Poincaré’s theory of automorphic functions offers a solution to overcome and extend the limits that Deleuze identifies in Leibniz’s metaphysics. Deleuze brings this elaborate conjunction of material together in order to set up a mathematical idealization of the system that he considers to be implicit in Leibniz’s work. The result is a thoroughly mathematical explication of the structure of Leibniz’s metaphysics. This essay is an exposition of the very mathematical underpinnings of this Deleuzian account of the structure of Leibniz’s metaphysics, which, I maintain, subtends the entire text of The Fold. (shrink)

According to Leibniz, there is no death in the sense that the human being or animal is destroyed completely. This is due to his metaphysical pluralism which would suffer if the number of substances decreased. While animals transform into other animals after “death”, human beings are rewarded or punished of their behavior in this life. This paper presents a comprehensive account of how Leibniz thought the “death” to take place and discusses his often unclear views on the life after death. (...) I will also present a new, naturalistic reading of Leibniz’s views on afterlife. (shrink)

This article explores the later Schleiermacher’s metaphysics of substance and what it entails concerning the question of transcendental freedom. I show that in espousing a metaphysics of substance, Schleiermacher also abandoned an understanding of nature as a mere mechanism, a view implying what I call a “state-state view of causation” (“SSV” for short). Adoption of the view of the self as substance was motivated by the primacy of practical and religious concerns in Schleiermacher’s later work: in Christian Faith, an analysis (...) of self-consciousness from a first person point of view grounds this understanding of the self. In fact, in Christian Faith, ontology, and thereby theology, is only possible through such a first person analysis. The development of Schleiermacher’s views over time, and the reasons accompanying this development, can be fully understood only the in the context of his engagement with the work of Spinoza, Leibniz, and Kant. In what follows I trace this development through an analysis of the philosophical problems and influences shaping Schleiermacher’s mature view, and shed light on his understanding of self-consciousness and its relation to God. My own account should also serve to correct some recent misunderstandings that have made their way into the secondary literature. (shrink)

I propose a straightforward reconciliation of Leibniz’s conception of bodies as aggregates of simple substances (i.e., monads) with his doctrine that bodies are the phenomena of perceivers, without in the process saddling him with any equivocations. The reconciliation relies on the familiar idea that in Leibniz’s idiolect, an aggregate of Fs is that which immediately presupposes those Fs, or in other words, has those Fs as immediate requisites. But I take this idea in a new direction. Taking notice of (...) the fact that Leibniz speaks of three respects in which one thing may immediately presuppose others--i.e., with respect to its being, its existence, and its reality--I argue that a phenomenon having its being in one perceiving substance (monad) can plausibly be understood to presuppose other perceiving substances (monads) in two of these respects. Accordingly, good sense can be made of both the claim that a phenomenon in one monad is an aggregate of other monads (in Leibniz’s technical sense of 'aggregate') and the (equivalent) claim that the latter monads are constituents of the phenomenon (in his technical sense of 'constituent'). So understood, the two conceptions of body are perfectly compatible, just as Leibniz seems to think. (shrink)

This essay examines the relationship between monads and space in Kant’s early pre-critical work, with special attention devoted to the question of ubeity, a Scholastic doctrine that Leibniz describes as “ways of being somewhere”. By focusing attention on this concept, evidence will be put forward that supports the claim, held by various scholars, that the monad-space relationship in Kant is closer to Leibniz’ original conception than the hypotheses typically offered by the later Leibniz-Wolff school. In addition, Kant’s monadology, in (...) conjunction with God’s role, also helps to shed light on further aspects of his system that are broadly Leibnizian, such as monadic activity and the unity of space. (shrink)

This paper attempts to resolve the puzzle associated with the non-spatiality of monads by investigating the possibility that Leibniz employed a version of the extension of power doctrine, a Scholastic concept that explains the relationship between immaterial and material beings. As will be demonstrated, not only does the extension of power doctrine lead to a better understanding of Leibniz’ reasons for claiming that monads are non-spatial, but it also supports those interpretations of Leibniz’ metaphysics that accepts the real (...) extension of bodies. (shrink)

Requirement specifications in software engineering involve developing a conceptual model of a target domain. The model is based on ontological exploration of things in reality. Many things in such a process closely tie to problems in metaphysics, the field of inquiry of what reality fundamentally is. According to some researchers, metaphysicians are trying to develop an account of the world that properly conceptualizes the way it is, and software design is similar. Notions such as classes, object orientation, properties, instantiation, algorithms, (...) etc. are metaphysical concepts developed many years ago. Exploring the metaphysics of such notions aims to establish quality assurance though some objective foundation not subject to misapprehensions and conventions. Much metaphysical work might best be understood as a model-building process. Here, a model is viewed as a hypothetical structure that we describe and investigate to understand more complex, real-world systems. The purpose of this paper is to enhance understanding of the metaphysical origins of conceptual modeling as exemplified by a specific proposed high-level model called thinging machines (TMs). The focus is on thimacs (things/machine) as a single category of TM modeling in the context of a two-phase world of staticity and dynamics. The general idea of this reality has been inspired by Deleuze’s ‘the virtual’ and related to the classical notions of Leibniz’s monads and Avicenna’s essence. The analysis of TMs leads to several interesting results about a thimac’s nature at the static and existence levels. (shrink)

This paper is a discussion of the treatment of Leibniz's conception of substance in Heidegger's The Metaphysical Foundations of Logic. I explain Heidegger's account, consider its relation to recent interpretations of Leibniz in the Anglophone secondary literature, and reflect on the ways in which Heidegger's methodology may illuminate what it is to read Leibniz and other figures in the history of philosophy.

The purpose of this essay is to make the case for a heterodox reading of Leibniz’s The Monadology (published 1720) through the lens of Professor John Wheeler’s hypothesis of the one-electron universe (proposed in 1940). My conjecture is this: That there exists in the knowable universe only one monad; that this monad traverses time in both directions, eventually criss-crossing the entire past and future history of the universe; and that this singular monad interacts with itself countless times, thereby filling the (...) universe with simultaneous appearances of itself. In the course of this article I will consider the possibility that our solitary monad is synonymous with Leibniz’s God, or if the monad in question is rather a created substance that is alone with God, a notion that gains some traction thanks to Leibniz’s admiration for the solipsism of Saint Teresa of Avila. I will also consider whether the one-monad hypothesis is consistent with Leibniz’s own views on harmony, simplicity and perfection. (shrink)

Gottfried Wilhelm Leibniz presents the idea of monads, as non-communicative, self-actuating system of beings that are windowless, closed, eternal, deterministic and individualistic. For him, the whole universe and its constituents are monads and that includes humans. In fact, any ‘body’, such as the ‘body’ of an animal or man has, according to Leibniz, one dominant monad which controls the others within it. This dominant monad, he often refers to as the soul. If Leibniz’s conception of monads is (...) accepted, it merely establishes human subjectivity, idiosyncrasies, biases, prejudices and individual points of view as the norm. How then do we ensure inter-subjectivity and the kind of social interaction requisite for the achievement of social order, since Leibniz’s system forecloses the possibility of interaction and communication among monads? In this essay, we argue that just as Leibniz’s monads synchronize only through the Supreme Monad (Monas Monadum), humans as social monads should also interact through a matrix of ideals like truth, honesty, sincerity, integrity, altruism, impartiality, compassion and trust. Since social order is actualised only within the context of linked social structures, relations and values, these utopian ideals would form the fulcrum through which humans relate and the very foundation that would anchor a viable social order. Our aim here is to establish a relationship between Leibniz’s metaphysics and the physical domains of life by showing that metaphysical constructs can impinge on human social relations and wellbeing. The study employed the qualitative method of research through critical analysis of texts, library and archival materials. (shrink)

Written in 1714, the “Monadology” is widely regarded as a classic statement of much of Leibniz’s mature philosophical system. In just 90 numbered paragraphs, Leibniz outlines—and argues for—the core features of his system, starting with his famous doctrine of monads (simple substances) and ending with the uplifting claim that God is concerned not only for the world as a whole but for the welfare of the virtuous in particular. This chapter begins by considering the circumstances of composition of the (...) “Monadology” and its publication history before offering a detailed analysis of the claims and arguments found therein; I suggest the text is best read as dealing with three distinct realms, the metaphysical (§§1–-60), the physical (§§61–-82), and lastly the moral (§§83–-90). The chapter concludes with a consideration of the fate and influence of this seminal text. (shrink)

I argue that the prime matter that Leibniz posits in every created monad is understood by him to be a mere defect or negation, and not something real and positive. Further, I argue that Leibniz’s talk of prime matter in every created monad is inspired by the thirteenth-century doctrine of spiritual matter, but that such talk is simply one way in which Leibniz frames a point that he frequently makes elsewhere—namely, that each creaturely essence incorporates a limitation that is the (...) ultimate source of an original imperfection that affects the creature from the first moment of its existence. (shrink)

The Russian philosopher Nikolai Onufrievich Lossky considered himself a Leibnizian of sorts. He accepted parts of Leibniz’s doctrine of monads, although he preferred to call them ‘substantival agents’ and rejected the thesis that they have neither doors nor windows. In Lossky’s own doctrine, monads have existed since the beginning of time, they are immortal, and can evolve or devolve depending on the goodness or badness of their behavior. Such evolution requires the possibility for monads to reincarnate into (...) the bodies of creatures of a higher level on the scala perfectionis. According to this theory, a monad can evolve by being progressively reincarnated multiple times through a sort of process of metamorphosis from the level of the most elementary particles all the way up to the level of human beings or even higher. Lossky argues that the works of Leibniz contain scattered elements of such a systematic doctrine of reincarnation. He attempts to reconstitute this doctrine in an article that appeared both in Russian and German in 1931. The Russian version, ‘Ученiе Лейбница о перевоплощенiи какъ метаморфозѣ’, was published in the Сборникъ Русскаго института въ Прагѣ, vol. 2, 1931, pp. 77–88. The German version appeared under the title ‘Leibniz’ Lehre von der Reinkarnation als Metamorphose,’ in Archiv für Geschichte der Philosophie, vol. 40, n. 2, 1931, pp. 214–226. The content of the Russian and German versions is roughly the same, except for the omission, in the German version, of a mention of David Hume in the second sentence and of one paragraph and a half at the end of the article. The following is a translation of this article. I translated the text from the Russian version, which was in all appearances written first, but I also took the German version into account. The original pagination is added in angle brackets. Angle brackets are used wherever the additions are mine. — Frédéric Tremblay. (shrink)

One of the most intriguing – and arguably counter-intuitive – doctrines defended by environmental philosophers is that of positive aesthetics, the thesis that all of nature is beautiful. The doctrine has attained philosophical respectability only comparatively recently, thanks in no small part to the work of Allen Carlson, one of its foremost defenders. In this paper, we argue that the doctrine can be found much earlier in the work of Gottfried Wilhelm Leibniz who devised and defended a version of positive (...) aesthetics in the early modern period, grounded in a conception of the world as a world of monads, each of which individually fulfils the rationalist aesthetic criteria of multiplicity-in-unity and that taken together ensure that the world as a whole is a harmoniously ordered system of multiple and diverse individuals, whose intelligible order and variety is made known to us through natural scientific endeavour. In showing this, we advance two further theses: first, that Leibniz's vers.. (shrink)

Panpsychism, the view that consciousness is present everywhere at the fundamental level of reality, has established itself as an increasingly popular option in the philosophy of mind. Situated between substance dualism and reductive physicalism, panpsychism aims to capture the intuitions behind both, integrating consciousness into the physical world without explaining it in terms of purely physical facts. In this thesis, I offer a defence of panpsychism. -/- First, I examine influential arguments against physicalism, such as Thomas Nagel’s (1974, 1979) perspective-based (...) proposal, Frank Jackson’s (1982) knowledge argument, David Chalmers’ (1996, 2010) conceivability argument, as well as vagueness arguments (Antony 2006a; Tye 1996). I argue that none of them offers a knockdown case against physicalism, particularly because of the threat presented by the phenomenal concept strategy (Chalmers 2007; Papineau 2007a), though they suggest panpsychism as a promising alternative that avoids many common objections. -/- Second, I discuss independent arguments for panpsychism, including the Russellian monist view (Goff 2017; Russell 1927/1992), the intrinsic nature argument (Seager 2006; Strawson 2006), recent developments in the literature as presented by Hedda Hassel Mørch (2018, 2020) and Luca Dondoni (2022), Tye’s (2021b) representational panpsychism based on the vagueness argument, as well as cosmopsychism (Nagasawa & Wager 2016; Shani 2015) – an alternative to panpsychism that shares its aims whilst claiming to avoid its shortcomings. -/- Third, I address the most pressing objection to panpsychism: the combination problem or the question of how fundamental consciousness can combine to lead to complex consciousness (James 1890). Focusing especially on the subject-summing version of the combination problem or the issue of how small subjects can combine to form complex subjects, I go over various proposals for either solving or avoiding it, such as Philip Goff’s (2016) phenomenal bonding relation and William Seager’s (2010) combinatorial infusion proposal, arguing against both and agreeing at the end with Sam Coleman (2014), who advocates that subject-summing is demonstrably incoherent. -/- However, as I argue in the fourth and final chapter, the panpsychist still has an option that avoids the subject-summing problem, while also circumventing the objections faced by the alternative view of cosmopsychism. Inspired though not reliant on the philosophy of Gottfried Wilhelm Leibniz (1902/2005), I introduce what I call monadic panpsychism, the view that the phenomenal character of any given consciousness-bearing physical ultimate is determined by its relations to other such ultimates featuring in the relevant causal structure. -/- The theory consists of two key claims. The first is that phenomenal qualities are relational rather than intrinsic. This view has precedent in literature on the philosophy of mind, such as in Rudolf Carnap (1928), Gottlob Frege (1956), Moritz Schlick (1959), as well as more recently in David Hilbert and Mark Kalderon (2000) and Austen Clark (2000), though not in the context of panpsychism. -/- The second claim is that physical ultimates only possess a very basic form of consciousness necessary for experiencing as such. There are many ways to conceptualise this basic consciousness: non-relational or intrinsic, rudimentary and non-specific, a point of view without experiences, the minimal subject, a mere conduit for experience, phenomenal space, etc. Russellian panpsychists offer a more detailed proposal in which every physical ultimate has an appropriate associated type of experience. For example, all quarks have the same quark-type of experience, assuming for the sake of discussion that quarks are ultimates. Still, arguing for a more minimal notion, as I do, requires making less claims and should not be controversial to any panpsychist. -/- So, what follows from these two claims? I propose that the relational constitution of phenomenal qualities has its endpoint at the fundamental level rather than at the level of a combined complex or emergent subject. Put simply, physical ultimates guarantee the basic consciousness or the point of view that I occupy, while the relational structure constitutes my rich and full human experience. So to speak, relationally constituted phenomenal qualities ‘anchor’ themselves in physical ultimates. As long as these relations result in a phenomenally unified experience, which is an uncontroversial thesis, then no matter where that process reaches the end of its causal chain, it will necessarily be experienced from a subjective point of view. -/- Since only qualities but not subjects need to combine, my proposal avoids the subject-summing version of the combination problem, which is arguably an insurmountable challenge to other forms of panpsychism. Because of this, I conclude that my theory contributes to the field, serving as a good starting point for further developments of neither combinatory nor emergent panpsychism with regard to subjects. (shrink)

In this article, we focus on the C-Manuscripts to see how Husserl reflects on the margins of phenomenality with reference to the three limit-phenomena of sleep, death, and others. We choose to juxtapose these three limit-phenomena, because in the C-Manuscripts Husserl has depicted their affinities, both in terms of their phenomenal characters and their transcendental functions, in a creative way. There Husserl has outlined at least two approaches for introducing the limit-phenomena of sleep, death, and others to the core concerns (...) of phenomenology. These two approaches rely on different heuristic strategies to shed light on the genetic constitution of monadic life and the generative constitution of humanity respectively. The first approach privileges sleep as the model of unconscious pause in order to illuminate the more perplexing cases of death and others. The second approach treats sleep and death as bridging-members of the constitution of the total human world, after the model of others in the constitution of transcendental intersubjectivity. (shrink)

Deferential Monadic Panpsychism is a view that accepts that physical science is capable of discovering the basic structure of reality. However, it denies that reality is fully and exhaustively de- scribed purely in terms of physical science. Consciousness is missing from the physical description and cannot be reduced to it. DMP explores the idea that the physically fundamental features of the world possess some intrinsic mental aspect. It thereby faces a se- vere problem of understanding how more complex mental states (...) emerge from the mental features of the fundamental features. Here I explore the idea that a new form of aggregative emergence, which I call 'combinatorial infusion', could shed light on this problem and bolster the prospects for this form of panpsychism. (shrink)

The quest to understand the natural and the mathematical as well as philosophical principles of dynamics of life forms are ancient in the human history of science. In ancient times, Pythagoras and Plato, and later, Copernicus and Galileo, correctly observed that the grand book of nature is written in the language of mathematics. Platonism, Aristotelian logism, neo-realism, monadism of Leibniz, Hegelian idealism and others have made efforts to understand reasons of existence of life forms in nature and the underlying principles (...) through the lenses of philosophy and mathematics. In this paper, an approach is made to treat the similar question about nature and existential life forms in view of mathematical philosophy. The approach follows constructivism to formulate an abstract model to understand existential life forms in nature and its dynamics by selectively combining the elements of various schools of thoughts. The formalisms of predicate logic, probabilistic inference and homotopy theory of algebraic topology are employed to construct a structure in local time-scale horizon and in cosmological time-scale horizon. It aims to resolve the relative and apparent conflicts present in various thoughts in the process, and it has made an effort to establish a logically coherent interpretation. (shrink)

Contrary to widely shared opinion in analytic metaphysics, E.J. Lowe argues against the existence of relations in his posthumously published paper There are probably no relations (2016). In this article, I assess Lowe’s eliminativist strategy, which aims to show that all contingent “relational facts” have a monadic foundation in modes characterizing objects. Second, I present two difficult ontological problems supporting eliminativism about relations. Against eliminativism, metaphysicians of science have argued that relations might well be needed in the best a posteriori (...) motivated account of the structure of reality. Finally, I argue that, by analyzing relational inherence, trope theory offers us a completely new approach to relational entities and avoids the hard problems motivating eliminativism. (shrink)

The orthodox monadic determination thesis holds that we represent colour relations by virtue of representing colours. Against this orthodoxy, I argue that it is possible to represent colour relations without representing any colours. I present a model of iconic perceptual content that allows for such primitive relational colour representation, and provide four empirical arguments in its support. I close by surveying alternative views of the relationship between monadic and relational colour representation.

This article presents a trope bundle theory of simple substances, the Strong Nuclear Theory[SNT] building on the schematic basis offered by Simons's (1994) Nuclear Theory[NT]. The SNT adopts Ellis's (2001) dispositional essentialist conception of simple substances as powerful particulars: all of their monadic properties are dispositional. Moreover, simple substances necessarily belong to some natural kind with a real essence formed by monadic properties. The SNT develops further the construction of substances the NT proposes to obtain an adequate trope bundle theory (...) of powerful particulars. The SNT allows for co-located powerful particulars. However, every powerful particular is necessarily co-located with its constituent tropes, which determine its causal powers. Every constituent trope of substance i is part of a trope aggregate (the n-bundle or c-bundle) that forms an individual figuring in the basic spatio-temporal relations. The location of these individuals determines the location of individual tropes. Since they are necessarily co-located with substance i when they exist, every trope t of i is necessarily co-located with i when it exits. Every simple substance has nuclear tropes necessary to it. It belongs to certain primary natural kind K because its nuclear tropes belong to certain distinct determinate kinds. (shrink)

How to reconcile monadic simplicity with the successive plurality of the monadic states ? The doctrine of continued creation seems to entail the existence of independent temporal parts and thus lead to the thesis that the world contains only transitory things. I try to show how Leibniz has the resources to get out of this quandary. The analysis of the concept of extension shows that a plurality of states does not constitute a divisible aggregate. Then I examine the Leibnizian interpretation (...) of continued creation, by com- paring it to the scholastic and Cartesian Background. From thence I conclude that Leibniz’s final thesis is that monads are wholly present at each moment of their duration. (shrink)

A fresh translation and in-depth commentary of Leibniz's seminal text, the Monadology. -/- Written in 1714, the Monadology is widely considered to be the classic statement of Leibniz's mature philosophy. In the space of 90 numbered paragraphs, totalling little more than 6000 words, Leibniz outlines - and argues for - the core features of his philosophical system. Although rightly regarded as a masterpiece, it is also a very condensed work that generations of students have struggled to understand. -/- Lloyd Strickland (...) presents a new translation of the Monadology, alongside key parts of the Theodicy, and an in-depth, section-by-section commentary that explains in detail not just what Leibniz is saying in the text but also why he says it. The sharp focus on the various arguments and other justifications Leibniz puts forward makes possible a deeper and more sympathetic understanding of his doctrines. (shrink)

Abstract According to Russellianism, the content of a Russellian thought, in which a person ascribes a monadic property to an object, can be represented as an ordered couple of the object and the property. A consequence of this is that it is not possible for a person to believe that a is F and not to believe b is F, when a=b. Many critics of Russellianism suppose that this is possible and thus that Russellianism is false. Several arguments for this (...) claim are criticized and it is argued that Russellians need not appeal to representational notions in order to defeat them. Contrary to popular opinion, the prospects for a pure Russellianism, a Russellianism without representations, are in fact very good. (shrink)

This essay aims to provide a modal logic for rational intuition. Similarly to treatments of the property of knowledge in epistemic logic, I argue that rational intuition can be codified by a modal operator governed by the modal $\mu$-calculus. Via correspondence results between fixed point modal propositional logic and the bisimulation-invariant fragment of monadic second-order logic, a precise translation can then be provided between the notion of 'intuition-of', i.e., the cognitive phenomenal properties of thoughts, and the modal operators regimenting the (...) notion of 'intuition-that'. I argue that intuition-that can further be shown to entrain conceptual elucidation, by way of figuring as a dynamic-interpretational modality which induces the reinterpretation of both domains of quantification and the intensions and hyperintensions of mathematical concepts that are formalizable in monadic first- and second-order formal languages. Hyperintensionality is countenanced via a topic-sensitive epistemic two-dimensional truthmaker semantics. (shrink)

The question I want to explore is whether experience supports an antireductionist ontology of time, that is, whether we should take it to support an ontology that includes a primitive, monadic property of nowness responsible for the special feel of events in the present, and a relation of passage that events instantiate in virtue of literally passing from the future, to the present, and then into the past.

Over the course of the past ten-plus years, Peter Hanks and Scott Soames have developed detailed versions of Act-Based views of propositions which operate with the notions of reference to objects, indicating properties, predication, and judgment (or entertaining). In this paper I discuss certain foundational aspects of the Act-Based approach having to do with the relations between these notions. In particular, I argue for the following three points. First, that the approach needs both an atomistically understood thin notion of reference, (...) a bare act of thinking of o, as well as a more involved notion, something like making o a target of predication. Second, that the acts of thinking of o and indication of the property of being F are in no sense parts of the acts of predication of being F of o and judgment that o is F. Rather, the former are simply necessary preconditions for the performance of the latter. The acts of predication or judgment are emphatically not structured sequences of separate acts but unities in and of themselves. Finally, that we should understand the Act-Based theorists’ claim that to predicate is to judge as the claim that judgment can be reductively analyzed in terms of predication. Furthermore, while predication is metaphysically a multiple relation between a predicator, a target, and the property predicated, judgment is a monadic property, just one that has propositional content. (shrink)

Metaphysics should follow science in postulating laws alongside properties. I defend this claim against the claim that natural properties conceived as powers make laws of nature redundant. Natural properties can be construed in a “thin” or a “thick” way. If one attributes a property in the thin sense to an object, this attribution does not conceptually determine which other properties the object possesses. The thin construal is underlying the scientific strategy for understanding nature piecemeal. Science explains phenomena by cutting reality (...) conceptually in properties attributed to space-time points, where these properties are conceived of independently of each other, to explore then, in a separate step, how the properties are related to each other; those determination relations between properties are laws. This is compatible with the thesis that laws are metaphysically necessary. According to the thick conception, a property contains all its dependency relations to other properties. The dependency relationships between properties (which appear as laws in the thin conception) are parts of the properties they relate. There are several reasons to resist the thick conception of properties. It makes simple properties “holistic”, in the sense that each property contains many other properties as parts. It cannot account for the fact that properties constrain each other’s identity; it can neither explain why natural properties are linked to a unique set of dispositions, nor why and how this set is structured nor why the truth-maker of many disposition attributions is relational although the disposition is grounded on a monadic property. (shrink)

Heinrich Behmann (1891-1970) obtained his Habilitation under David Hilbert in Göttingen in 1921 with a thesis on the decision problem. In his thesis, he solved - independently of Löwenheim and Skolem's earlier work - the decision problem for monadic second-order logic in a framework that combined elements of the algebra of logic and the newer axiomatic approach to logic then being developed in Göttingen. In a talk given in 1921, he outlined this solution, but also presented important programmatic remarks on (...) the significance of the decision problem and of decision procedures more generally. The text of this talk as well as a partial English translation are included. (shrink)

The author investigates greek ontologies that apparently rely on a conflation of "binary" (x is f) and "monadic" (x is) uses of 'is'. He uses Aristotelian and other texts to support his proposal that these ontologies are explained by the Greeks using two alternative semantic analyses for 'x is F'. The first views it as asserting a relation between x and F, the second as asserting that a "predicative complex" exists, where a predicative complex is a complex consisting of x (...) and F. The article concludes by indicating some uses for the novel concept of predicative complex in aristotelian interpretation. (shrink)

We argue that if one wishes to be a realist, one should adopt a Neo-Aristotelian ontology involving tropes instead of a Russellian ontology of property universals and objects. Either Russellian realists should adopt the relata-specific relational tropes of instantiation instead of facts, or convert to Neo-Aristotelian realism with monadic tropes. Regarding Neo-Aristotelian realism, we have two novel points why it fares better than Russellian realism. Instantiation of property universals by tropes and characterization or inherence between tropes and objects are more (...) transparent ontological notions than relational inherence, which is assumed in Russellian realism with the relational tropes of instantiation. Neo-Aristotelian realism makes better sense about abstract universals, which are a more viable option than concrete universals. (shrink)

This paper aims to show that a proper understanding of what Leibniz meant by “hypercategorematic infinite” sheds light on some fundamental aspects of his conceptions of God and of the relationship between God and created simple substances or monads. After revisiting Leibniz’s distinction between (i) syncategorematic infinite, (ii) categorematic infinite, and (iii) actual infinite, I examine his claim that the hypercategorematic infinite is “God himself” in conjunction with other key statements about God. I then discuss the issue of whether (...) the hypercategorematic infinite is a “whole”, comparing the four kinds of infinite outlined by Leibniz in 1706 with the three degrees of infinity outlined in 1676. In the last section, I discuss the relationship between the hypercategorematic infinite and created simple substances. I conclude that, for Leibniz, only a being beyond all determinations but eminently embracing all determinations can enjoy the pure positivity of what is truly infinite while constituting the ontological grounding of all things. (shrink)

John MacFarlane has made relativism popular again. Focusing just on his original discussion, I argue that the data he uses to motivate the position do not, in fact, motivatie it at all. Many of the points made here have since been made, independently, by Hermann Cappelen and John Hawthorne, in their book Relativism and Monadic Truth.

Hermann von Helmholtz’s work on perceptual science had a fundamental impact on Neo-Kantian movements in the late nineteenth century, and his influence continues to be felt in psychology and analytic philosophy of perception. As is widely acknowledged, Helmholtz denied that we can perceive mind-independent properties of external objects, a view I label Ignorance. Given his commitment to Ignorance, Helmholtz might seem to be committed to a subjectivism according to which we only perceive properties of our own representations. Against this, I (...) argue that for Helmholtz, the properties we perceive are not monadic properties of either the subject or the object. Rather, Helmholtz endorsed a relationalism about the properties we perceive: the properties of objects we perceive are all relational properties. I then suggest that once we take into account oft-neglected terminological distinctions in Helmholtz’s corpus, we are better able to make sense of his commitment to relationalism. (shrink)

Leibniz, it seems, wishes to reduce statements involving relations or extrinsic denominations to ones solely in terms of individual accidents or, respectively, intrinsic denominations. His reasons for this appear to be that relations are merely mental things (since they cannot be individual accidents) and that extrinsic denominations do not represent substances as they are on their own. Three interpretations of Leibniz''s reductionism may be distinguished: First, he allowed only monadic predicates in reducing statements (hard reductionism); second, he allowed also `implicitly (...) relational predicates'' such as `loves somebody'' (soft reductionism); third, he allowed also `explicitly relational predicates'' such as `loves Helen'' (nonreductionism). Hard reductionism is problematic with respect to Leibniz''s doctrines of universal expression and incompossibility (among other things). Nonreductionism, in turn, faces insurmountable problems with Leibniz''s doctrine of self-sufficiency and internal identification of substances, as well as with that of individual accidents. The remaining option, soft reductionism, standing between the other two interpretations, arguably avoids at least some of their problems. (shrink)

I uncover here a conflict in Kant’s natural philosophy. His matter theory and laws of mechanics are in tension. Kant’s laws are fit for particles but are too narrow to handle continuous bodies, which his doctrine of matter demands. To fix this defect, Kant ultimately must ground the Torque Law; that is, the impressed torque equals the change in angular momentum. But that grounding requires a premise—the symmetry of the stress tensor—that Kant denies himself. I argue that his problem would (...) not arise if he had kept his early theory of matter as made of mass points, or “physical monads.”. (shrink)

Face-coverings were widely mandated during the Covid-19 pandemic, on the assumption that they limit the spread of respiratory viruses and are therefore likely to save lives. I examine the following ethical dilemma: if the use of face-masks in social settings can save lives then are we obliged to wear them at all times in those settings? I argue that by en-masking the face in a way that is phenomenally inconsistent with or degraded from what we are innately programmed to detect (...) as human likeness, we are degrading the social quality of our relations. Drawing on my previously published proof that Self is socially reflexive (mutually mirrored) rather than monadic in its constitution, I conclude that any widespread en-masking is also deleterious to humanity and therefore unethical. (shrink)

On Kripke’s intended definition, a term designates an object x rigidly if the term designates x with respect to every possible world in which x exists and does not designate anything else with respect to worlds in which x does not exist. Kripke evidently holds in Naming and Necessity, hereafter N&N (pp. 117–144, passim, and especially at 134, 139–140), that certain general terms – including natural-kind terms like ‘‘water’’ and ‘‘tiger’’, phenomenon terms like ‘‘heat’’ and ‘‘hot’’, and color terms like (...) ‘‘blue’’ – are rigid designators solely as a matter of philosophical semantics (independently of empirical, extra-linguistic facts). As a consequence, Kripke argues, identity statements involving these general terms are like identity statements involving proper names (e.g., ‘‘Clark Kent=Superman’’) in that, solely as a matter of philosophical semantics, they express necessary truths if they are true at all. But whereas it is reasonably clear what it is for a (first-order) singular term to designate, Kripke does not explicitly say what it is for a general term to designate. General terms are standardly treated in modern logic as predicates, usually monadic predicates. There are very forceful reasons – due independently to Church and Godel, and ultimately to Frege – for taking predicates to designate their semantic extensions. But insofar as the extension of the general term ‘‘tiger’’ is the class of actual tigers (or its characteristic function), it is clear that the term does not rigidly designate its extension, since the class of tigers in one possible world may differ from the class of tigers in another. What, then, is it for ‘‘tiger’’ to be rigid? (shrink)

Leibniz endorses several tenets regarding explanation: (1) causes provide contrastive explanations of their effects, (2) the past and the future can be read from the present, and (3) primitive force and derivative forces drive and explain changes in monadic states. I argue that, contrary to initial appearances, these tenets do not preclude an intelligible conception of contingency in Leibniz’s system. In brief, an agent is free to the extent that she determines herself to do that which she deliberately judges to (...) be the best from several considered options that she could have brought about, had she come to the deliberative conclusion that these options were best. I develop a model which illustrates how Leibnizian agents could have come to different deliberative conclusions, and which thus illustrates how Leibnizian agents could have acted differently. (shrink)

Scholars have wrestled with "consciousness", a major scholar calling it the "hard problem". Some thirty-plus years after the Towards a Science of Consciousness, we do not seem to be any closer to an answer to "What is consciousness?". Seemingly irresolvable metaphysical problems are addressed by bootstrapping, provisional assumptions, not unlike those used by logicians and mathematicians. I bootstrap with the same ontology and epistemology applicable to everything we apprehend. Here, I argue for a version of the unity of opposites, a (...) form of neutral monism. Something exists because of what it is not; nothing can exist by itself, singularities (analogous to monads), expressing the model. Applying this most fundamental law to the consciousness problem, the physical (movement) comes into being simultaneously as the mental (stasis), each displayed by a field that is variegated (ranging from creative to entropic processes). Such is in keeping with how the singularity emerged as our universe, the same form that may account for sub-Planck-scale phenomena. Overall, like the most fundamental law, deep structures are imminent in our universe, both as objects and processes. (shrink)

The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the (...) obtaining of certain other facts about entities of the trope theoretical category system. Moreover, I show that the analysis can deal with asymmetric and non-symmetric relations by assuming that all relation-like tropes are quantities. Finally, I provide an account of the spatial location of tropes in the difficult case in which tropes contribute to determining of the location of other entities. (shrink)