In historical claims for nativism, mathematics is a paradigmatic example of innate knowledge. Claims by contemporary developmental psychologists of elementary mathematical skills in human infants are a legacy of this. However, the connection between these skills and more formal mathematical concepts and methods remains unclear. This paper assesses the current debates surrounding nativism and mathematical knowledge by teasing them apart into two distinct claims. First, in what way does the experimental evidence from infants, nonhuman animals and neuropsychology support the nativist (...) hypothesis? Second, granting that infants have some elementary mathematical skills, does this mean that such skills play an important role in the development of mathematical knowledge? (shrink)

What is the relationship between unconscious and conscious intentionality? Contemporary philosophy of mind treats the contents of conscious 10 intentional mental states as the same kind of thing as the contents of un- conscious mental states. According to the standard view that beliefs and desires are propositional attitudes, for example, the contents of these states are propositions, whether or not the states are conscious or unconscious. I dispute this way of thinking of conscious and unconscious content, and propose an alternative, (...) which helps to explain why the various mental things that are called unconscious deserve that label. (shrink)

This paper analyzes the metaphysical system developed in Cheyne’s Philosophical Principles of Religion. Cheyne was an early proponent of Newtonianism and tackled several philosophical questions raised by Newton’s work. The most pressing of these concerned the causal origin of gravitational attraction. Cheyne rejected the occasionalist explanations offered by several of his contemporaries in favor of a model on which God delegated special causal powers to bodies. Additionally, he developed an innovative approach to divine conservation. This allowed him to argue that (...) Newton’s findings provided evidence for God’s existence and providence without the need for continuous divine intervention in the universe. (shrink)

Technology, according to Derry and Williams's Short History, ‘comprises all that bewilderingly varied body of knowledge and devices by which man progressively masters his natural environment’. Their casual, and unconscious, sexism is not unrelated to my present topic. Women enter the story as spinners, burden bearers and, at long last, typists. ‘The tying of a bundle on the back or the dragging of it along upon the outspread twigs of a convenient branch are contributions [and by implication the only contributions] (...) to technology which probably had a feminine origin’. Everything else was done by men, and what they did was master, conquer, and control. It is also significant that Derry and Williams take it for granted that ‘the men [sic] of the Old Stone Age, few and scattered, developed little to help them to conquer their environment’: until the advent of agriculture, and settled civilization, there was, they say, neither leisure nor surplus. (shrink)

In this paper I investigate the idea that in conceptual analysis we are in a substantial way concerned with revealing metaphysical grounds. I argue that a recent proposal fails, according to which we aim to reveal what complex concepts are grounded in. The notion ofcomposition, rather than that ofgrounding, is the best way to understand the intuitive hierarchy of concepts. In an analysis we reveal thecomponentsorpartsof complex concepts and their structure. Finally, I propose an alternative role for grounding in our (...) accounts of analysis: in analyses we reveal truths about the composition of concepts that serve as grounds for truths about theirfunctions, which are what we want to understand. (shrink)

In this paper I investigate the idea that in conceptual analysis we are in a substantial way concerned with revealing metaphysical grounds. I argue that a recent proposal fails, according to which we aim to reveal what complex concepts are grounded in. The notion ofcomposition, rather than that ofgrounding, is the best way to understand the intuitive hierarchy of concepts. In an analysis we reveal thecomponentsorpartsof complex concepts and their structure. Finally, I propose an alternative role for grounding in our (...) accounts of analysis: in analyses we reveal truths about the composition of concepts that serve as grounds for truths about theirfunctions, which are what we want to understand. (shrink)

Some sensory modalities, such as sight, touch and audition, are arguably spatial, and one way to understand these spatial senses is to investigate spatial representations in them. Here I focus on a specific element in this area— the interplay between perspectival variation and spatial constancy—and discuss recent interdisciplinary works on this topic. With these relevant experimental works, we will see clearly how traditional controversies in philosophy, for example, whether we perceive perspectival shapes as well as objective shapes, and whether any (...) sensory field should be postulated in senses other than vision, can benefit from considerations in empirical sciences. (shrink)

It is often maintained that one insight of Kant's Critical philosophy is its recognition of the need to distinguish accounts of knowledge acquisition from knowledge justification. In particular, it is claimed that Kant held that the detailing of a concept's acquisition conditions is insufficient to determine its legitimacy. I argue that this is not the case at least with regard to geometrical concepts. Considered in the light of his pre-Critical writings on the mathematical method, construction in the Critique can be (...) seen to be a form of concept acquisition, one that is related to the modal phenomenology of geometrical judgement. (shrink)

In this paper I argue that the most prominent and familiar features of Wittgenstein’s rule following considerations generate a powerful argument for the thesis that most of our concepts are innate, an argument that echoes a Chomskyan poverty of the stimulus argument. This argument has a significance over and above what it tells us about Wittgenstein’s implicit commitments. For, it puts considerable pressure on widely held contemporary views of concept learning, such as the view that we learn concepts by constructing (...) prototypes. This should lead us to abandon our general default hostility to concept nativism and be much more sceptical of claims made on behalf of learning theories. (shrink)

My first goal is to motivate a distinctively metaphysical approach to the problem of induction. I argue that there is a precise sense in which the only way that orthodox Humean and non-Humean views can justify induction is by appealing to extremely strong and unmotivated probabilistic biases. My second goal is to sketch what such a metaphysical approach could possibly look like. After sketching such an approach, I consider a toy case that illustrates the way in which such a metaphysics (...) can help us make progress on the problem of induction. (shrink)

The Golden Rule is endorsed in oneform or another by most cultures and majorreligions and is still espoused byphilosophers, business ethicists, and popularbusiness authors. Because it also resonateswith undergraduate business majors, it can bean effective teaching tool. This paperdescribes a way of teaching the Golden Rulethrough a series of business-oriented examplesintended to bring out its strengths andweaknesses. The method described alsointroduces students to some basic moralreasoning skills and acquaints them with a widerange of moral issues that arise in business. Kant's (...) Formula of Humanity is discussed in thefinal section as a principle that overcomes atleast some of the Golden Rule's defects. (shrink)

A central issue in debates about Kant and nonconceptualism concerns the nature of intuition. There is sharp disagreement among Kant scholars about both whether, prior to conceptualization, mere intuition can be considered conscious and, if so, how determinate this consciousness is. In this article, I argue that Kant regards pre-synthesized intuition as conscious but indeterminate. To make this case, I contextualize Kant's position through the work of H.S. Reimarus, a predecessor of Kant who influenced his views on animals, infants, and (...) the role of attention. I use Reimarus to clarify Kant's otherwise ambiguous commitments on the determinacy of intuition in animals and newborns, and the role attention, concepts, and judgment play in making intuited contents determinate. This contextualization helps to shed light on Kant's discussion of pre-synthesized intuition in the threefold synthesis of the A-Deduction by demonstrating that Kant's theory of mind in the deduction offers transcendental grounding for empirical accounts of infant development like Kant and Reimarus's. The upshot is a Kant at odds with many recent interpretations of his theory of mind: pre-synthesized intuition is conscious but indeterminate. (shrink)

Many metaphysicians accept the view that, necessarily, any collection of things composes some further thing. Necessarily, my arms, legs, head, and torso compose my body; necessarily, my arms, my heart, and the table compose something y; necessarily, my heart and the sun compose something z; and so on. 1 Though there have been a few recent attempts to argue against the necessity of this principle of unrestricted composition the consensus is that if it is true, it is necessarily true. 2In (...) what follows I will join the few dissenters and argue that this principle of unrestricted composition is not necessarily true. If I am right, it follows that either some principle of restricted composition is necessarily true or the existence of composite objects is a contingent matter. I will end by indicating why the latter option seems the most plausible. 3I proceed by reductio. Assume the following: Unrestricted composition is necessarily true.That is, assume that necessarily, any collection of things composes something. Then, necessarily, the collection of everything composes something. That is, necessarily, there exists a universal object U having all things as parts, not itself being a proper part of anything. Hence, by our assumption, we get: There must be a universal object U.It is important to note that this is so whether the world is finite or infinite. Holding that in worlds of finite cardinality there is a universal object U while in worlds of infinite cardinality there is no universal object U amounts to accepting a restricted form of composition. 4Now consider the following scenario. Everything in this world is spatially extended and just one half of something else that is also spatially extended. That is, for any thing in this world, there is something else of which …. (shrink)

Leibniz consistently denies that unbaptized infants are condemned to hell in virtue of original sin. He is less than forthcoming, however, about where they go when they die. Scholars are divided on this issue. Some think that, according to Leibniz, they go to limbo, while others think that he is committed to the view that they go to heaven. The aim of this paper is to show that this scholarly attention is misguided and that Leibniz does not defend a position (...) regarding the fate of unbaptized infants. (shrink)

In this paper I offer a fresh interpretation of Leibniz’s theory of space, in which I explain the connection of his relational theory to both his mathematical theory of analysis situs and his theory of substance. I argue that the elements of his mature theory are not bare bodies (as on a standard relationalist view) nor bare points (as on an absolutist view), but situations. Regarded as an accident of an individual body, a situation is the complex of its angles (...) and distances to other co-existing bodies, founded in the representation or state of the substance or substances contained in the body. The complex of all such mutually compatible situations of co-existing bodies constitutes an order of situations, or instantaneous space. Because these relations of situation change from one instant to another, space is an accidental whole that is continuously changing and becoming something different, and therefore a phenomenon. As Leibniz explains to Clarke, it can be represented mathematically by supposing some set of existents hypothetically (and counterfactually) to remain in a fixed mutual relation of situation, and gauging all subsequent situations in terms of transformations with respect to this initial set. Space conceived in terms of such allowable transformations is the subject of Analysis Situs. Finally, insofar as space is conceived in abstraction from any bodies that might individuate the situations, it encompasses all possible relations of situation. This abstract space, the order of all possible situations, is an abstract entity, and therefore ideal. (shrink)

Among Leibniz’s contributions to the philosophy of mind, two topics bear relevance to contemporary discussions in cognitive sciences: the mind-body problem, and the universal language. Leibniz’s deterministic view rejects inter-substance causality between mental and bodily states, as well as between mental or bodily states of different individuals. In addition, Leibniz believed in the need to enhance communication through a universal language based on symbolic representations. Here I reconsider Leibniz’s ideas in the light of experimental evidence coming from mirror neurons. These (...) recently discovered brain cells, responsive to both action execution and observation, are thought to enable the interpretation of the action performer’s intentions through their representation in the observer’s own brain, thus storing embodied shared representations. I propose that mirror neurons’ cross-modal responsiveness, whereby seeing an action being performed by somebody else triggers similar neural response to that of performing that action oneself, can be interpreted as an instantiation of intersubstance causality. I suggest that mirror neurons’ properties speak not only to the non-dualistic equation, supported by brain science in general, whereby in a given individual, mental states arise from bodily states but also introduce the possibility that bodily states may arise from someone else’s bodily states. In addition, I propose that this automatic embodied flow of information between individuals (from performer to observer) bears relevance to Leibniz’s intuitions on symbols. Specifically, I suggest that the shared representations stored in mirror neurons, thought to enable the interpretation of the action performer’s intentions, may be seen as a biological instantiation of Leibniz’s planned, but never realized, universal characteristic. (shrink)

An analysis of Derrida’s early work engaging Plato, Hegel, and the life sciences. Germs of Death explores the idea of genesis, or dissemination, in the early work of Jacques Derrida. Looking at Derrida’s published and unpublished work from “Force and Signification” in 1963 to Glas in 1974, Mauro Senatore traces the development of Derrida’s understanding of genesis both linguistically and biologically, and argues that this topic is an overlooked thread that draws together Derrida’s readings of Plato and Hegel. Demonstrating how (...) Derrida’s analysis liberates the understanding of genesis from Platonic and Hegelian presupposition, Senatore also highlights Derrida’s engagement with the biological thought of his day. Senatore also shows that the implications of Derrida’s insights extend into contemporary ethical and political questions relating to postgenomic conceptions of life. “Senatore here demonstrates with stunning insight, clarity, and economy that Derrida’s work of the 1960s and ’70s needs to be understood as a radical critique or deconstruction of both the philosophical concept of life (from Plato to Hegel) and the prevailing biological model of heredity as a ‘genetic program.’ It will be impossible henceforth to read Derrida on questions of the trace, dissemination, life, and so on, without coming to terms with ‘the germs of death.’” — Michael Naas, author of The End of the World and Other Teachable Moments: Jacques Derrida’s Final Seminar “The book represents a major contribution to the field of Derrida studies and phenomenology, particularly its attention to the concept of genesis that formed the basis of Derrida’s earliest study of Husserl and the origin of his concept of writing. The unique contribution is the inclusion of the works from the periods of the mid-1970s, which have been neglected in the mainstream scholarship on Derrida.” — Gregg Lambert, author of Philosophy after Friendship: Deleuze’s Conceptual Personae. (shrink)

The comparison made by Ada Lovelace in 1843 between the Analytical Engine and the Jacquard loom is one of the well-known analogies between looms and computation machines. Given the fact that weaving – and textile production in general – is one of the oldest cultural techniques in human history, the question arises whether this was the first time that such a parallel was drawn. As this paper will show, centuries before Lovelace’s analogy, such a comparison was made by Gottfried Wilhelm (...) Leibniz. During the 17th century, Leibniz compared his calculating machines with another textile machine, the stocking frame, a machine which mechanized knitting and which was invented in 1589. During the following centuries, this machine was considered as a technological wonder and as a creation of God, and, during the last decades of the 17th century, Leibniz emphasized the need to consider it and other textile machines mathematically. What, then, were the reasons for the parallel drawn between this machine and Leibniz’s automatic computation machines? And what were the consequences of this analogy concerning the artisanal knowledge embedded in manual textile practices? (shrink)

This paper investigates the degree to which information theory, and the derived uses that make it work as a metaphor of our age, can be helpful in thinking about God’s immanence and transcendance. We ask when it is possible to say that a consciousness has to be behind the information we encounter. If God is to be thought about as a communicator of information, we need to ask whether a communication system has to pre-exist to the divine and impose itself (...) to God. If we want God to be Creator, and not someone who would work like a human being, ‘creating’ will mean sustaining in being as much the channel, the material system, as the message. Is information control? It seems that God’s actions are not going to be informational control of everything. To clarify the issue, we attempt to distinguish two kinds of ‘genialities’ in nature, as a way to evaluate the likelihood of God from nature. We investigate concepts and images of God, in terms of the history of ideas but also in terms of philosophical theology, metaphysics, and religious ontology. (shrink)

The paper provides an alternative interpretation of ‘pair points’, discussed in Beall et al., "On the ternary relation and conditionality", J. of Philosophical Logic 41(3), 595-612. Pair points are seen as points viewed from two different ‘perspectives’ and the latter are explicated in terms of two independent valuations. The interpretation is developed into a semantics using pairs of Kripke models (‘pair models’). It is demonstrated that, if certain conditions are fulfilled, pair models are validity-preserving copies of positive substructural models. This (...) yields a general soundness and completeness result for a variety of (positive) substructural logics with respect to multimodal Kripke frames with binary accessibility relations. In addition, an epistemic interpretation of pair models is provided. (shrink)

I argue that we can achieve certainty about some empirical propositions. When someone is having a migraine and attending to it, she can be certain that she is in pain. I show that examples intended to undermine claims of certainty or to raise doubts about the reliability of introspection do not touch such cases. Traditional foundationalists have held that epistemically certain beliefs can serve as the basis for all one’s other justified beliefs. This is not so, because those beliefs that (...) are certain are spread too thinly to serve as broad justificatory foundations. Certainty has a different role. The best explanation for the existence of epistemically certain empirical beliefs is experientialism, the view that nondoxastic sensory experiences can justify beliefs. Experientialism then offers a framework for showing how the stream of sensory experiences can provide an adequate basis for the justification of our ordinary beliefs about the external world. (shrink)

In 1688 the Irish scientist and politician William Molyneux sent a letter to the philosopher John Locke. In it, he asked him a question: could someone who was born blind, and able to distinguish a globe and a cube by touch, be able to immediately distinguish and name these shapes by sight if given the ability to see? -/- The philosophical puzzle offered in Molyneux’s letter fascinated not only Locke, but major thinkers such as Leibniz, Berkeley, Diderot, Reid, and numerous (...) others including psychologists and cognitive scientists today. Does such a question represent a philosophical puzzle or a problem that can be solved by experimental tests? Can vision be fully restored after blindness? What is the relation between vision and touch? Are the senses linked through learning or bound at birth? -/- Molyneux’s Question and the History of Philosophy is a major collection of essays that explore the long-standing issues Molyneux’s problem presents to philosophy of mind, perception and the senses. In addition, the volume considers the question from an interdisciplinary angle, examines the pre-history of the question, and aspects of it that have been ignored, such as perspectives from religion and disability. -/- As such, Molyneux’s Question and the History of Philosophy presents a set of philosophically rich, empirically informed, and scientifically rigorous original investigations into this famous puzzle. It will be of great interest to students and researchers in philosophy, psychology, and the cognitive sciences including neuroscience, neurobiology and ophthalmology, as well as those studying the mind, perception and the senses. (shrink)

African Religion and Culture: Honoring the Past and Shaping the Future.

We present a temporal logic of branching time with four primitive operators: |$\exists {\mathcal {C}}$| – it may change whether; |$\forall {\mathcal {C}} $| – it must change whether; |$\exists \Box $| – it may be endlessly unchangeable that; and |$\forall \Box $| – it must be endlessly unchangeable that. Semantically, operator |$\forall {\mathcal {C}}$| expresses a change in the logical value of the given formula in every state that may be an immediate successor of the one considered, while |$\exists (...) {\mathcal {C}}$| expresses a change in the logical value of the given formula in some state that is a possible immediate successor. |$\forall {\mathcal {C}} $| and |$\exists {\mathcal {C}}$| are not normal operators, they are not mutually definable and have unusual properties: |$\forall {\mathcal {C}} A\leftrightarrow \forall {\mathcal {C}} \neg A$| and |$\exists {\mathcal {C}} A \leftrightarrow \exists {\mathcal {C}} \neg A$| are axioms. Operators |$\exists \Box $| and |$\forall \Box $| express endless unchangeability in some and all paths, respectively. Our axiomatization contains two infinitary rules that allow one to obtain |$\exists \Box A$| from infinitely many combinations of formulas with |$A, \neg, \forall {\mathcal {C}}, \land $|⁠, and to get |$\forall \Box A$| from infinitely many combinations of formulas with |$A, \neg, \exists {\mathcal {C}}, \land $|⁠. We show that our formalism is complete by presenting a bridge between our logic and logic |$\textsf {UB}$|⁠, which is a fragment of |$\textsf {CTL}$| in which until operators does not occur. (shrink)

John Locke famously claimed that our idea of substance is but a confused idea of “something we know not what.” However, he also thought that the idea of substance is a fundamental part of our ideas of ourselves and the objects surrounding us—of objects we do know. Interpreting this apparently ambivalent stance has long been a major challenge for Locke scholarship. In this article, I argue that the leading interpretations of Locke's conception of substance have failed to resolve this tension (...) because they have misconstrued the source of Locke's skepticism about our knowledge of what substance is. This skepticism, I argue, issues from an observation about the signification of the term “substance”: Locke maintained that the philosophical usage of the term is irremediably equivocal. This reading allows us to acknowledge that Locke could consistently hold that ordinary objects, such as persons, horses, or trees, are paradigmatic examples of substances. It also points to a better appreciation of how Locke's discussion of substance relates to the scholastic conceptions of substance he tried to overcome. (shrink)

I argue that Locke’s distinction between ‘determined’ and ‘undetermined’ ideas incorporates an account of semantic indeterminacy: if the complex idea to which a general term is annexed is ‘undetermined’, the term lacks a determinate extension. I propose that a closer look at this account of semantic indeterminacy illuminates various charges of confusion, misuse and abuse of language Locke levels against his philosophical contemporaries.

The direct proof of transcendental idealism, in the Transcendental Aesthetic of Kant's First Critique, has borne the brunt of enormous criticism. Much of this criticism has arisen from a confusion regarding the epistemological nature of the arguments Kant proposes with the alleged ontological conclusions he draws. In this paper I attempt to deflect this species of criticism. I concentrate my analysis on the Metaphysical Expositions of Space and Time. I argue that the argument form of the Metaphysical Expositions is that (...) of disjunctive syllogism and that Kant's primary target of attack is that of Leibnizian relativism. I provide a detailed analysis and reconstruction of the arguments of the Metaphysical Expositions, defending Kant against various claims of argumentative invalidity and incoherence. I conclude by identifying what can properly be inferred regarding the ontological nature of space and time, given my reconstructions of the arguments, and by suggesting the manner in which Kant can deflect objections from the other major proponent of transcendental realism, namely, Newtonian absolutism. (shrink)

The vision of natural kinds that is most common in the modern philosophy of biology, particularly with respect to the question whether species and other taxa are natural kinds, is based on a revision of the notion by Mill in A System of Logic. However, there was another conception that Whewell had previously captured well, which taxonomists have always employed, of kinds as being types that need not have necessary and sufficient characters and properties, or essences. These competing views employ (...) different approaches to scientific methodologies: Mill’s class-kinds are not formed by induction but by deduction, while Whewell’s type-kinds are inductive. More recently, phylogenetic kinds (clades, or monophyletic-kinds) are inductively projectible, and escape Mill’s strictures. Mill’s version represents a shift in the notions of kinds from the biological to the physical sciences. (shrink)

This essay is an attempt to offer at least a partial answer to the question concerning Leibniz's motivation for the need to create a universal language. It is relevant, among other things, due to Leibniz's claim which contradicts the idea of a universal language, in which he clearly stresses that “every language, even the poorest one, can express everything”, as well as owing to Leibniz's historical contribution to the idea of formalization and to the mechanization of the reasoning processes. This (...) paper is also an attempt to reconstruct the paradigm of language research pursued in a specific period of time in 17th century language theory. (shrink)

Theories concerning the structure, or format, of mental representation should (1) be formulated in mechanistic, rather than metaphorical terms; (2) do justice to several philosophical intuitions about mental representation; and (3) explain the human capacity to predict the consequences of worldly alterations (i.e., to think before we act). The hypothesis that thinking involves the application of syntax-sensitive inference rules to syntactically structured mental representations has been said to satisfy all three conditions. An alternative hypothesis is that thinking requires the construction (...) and manipulation of the cognitive equivalent of scale models. A reading of this hypothesis is provided that satisfies condition (1) and which, even though it may not fully satisfy condition (2), turns out (in light of the frame problem) to be the only known way to satisfy condition (3). (shrink)

In this paper I try to make as much sense aspossible of, first, the extensive philosophicalliterature concerned with the status of `Wateris H2O' and, second, the implications ofPutnam's invention of Twin Earth, anotherpossible world stipulated to be just like Earth, except that water is XYZ, notH2O.

Parmenides believed that he had found the most reliable way of theorizing about ultimate reality. While natural philosophers conceptualized phenomenal differences to explain cosmic change, Parmenides used the least meaningful but most versatile verb in Ancient Greek to engage in a purely intellectual exploration of reality – one that transcended synchronous and asynchronous differences. In this article I explain how the verb εἰμί was useful to Parmenides in his attempt to overcome natural philosophy. First, I argue that the Eleatic philosopher (...) regarded νοεῖν and εἶναι as equivalent because εἰμί-clauses enabled him to express arguably any conceivable content without providing significant additional meaning. I then show that Parmenides’ concept of being implies the present tense and the imperfective aspect but is grounded in the lexical content of the verb εἰμί, which entails no inherent temporal limits. This explains why ἔστι, ἐόν, and εἶναι could be used to indicate unbounded actuality, regardless of whether these forms represented lexical predicates or auxiliaries for predication. Finally, I maintain that the suitability of εἰμί for talking about all kinds of things without introducing temporal limits allowed Parmenides to avoid what he saw as two mistakes made by natural philosophers: identifying ultimate reality with something that cannot cover the full extent of thought and confusing actuality with present occurrence. (shrink)

Objective probability in quantum mechanics is often thought to involve a stochastic process whereby an actual future is selected from a range of possibilities. Everett’s seminal idea is that all possible definite futures on the pointer basis exist as components of a macroscopic linear superposition. I demonstrate that these two conceptions of what is involved in quantum processes are linked via two alternative interpretations of the mind-body relation. This leads to a fission, rather than divergence, interpretation of Everettian theory and (...) to a novel explanation of why a principle of indifference does not apply to self-location uncertainty for a post-measurement, pre-observation subject, just as Sebens and Carroll claim. Their Epistemic Separability Principle is shown to arise out of this explanation and the derivation of the Born rule for Everettian theory is thereby put on a firmer footing. (shrink)

I propose a novel compatibilist interpretation of Leibniz’s mature views concerning what is metaphysically basic. Drawing on a compatibilist reading of Aristotle on primary substance in the Categories and Metaphysics Z, I argue that Leibniz is working with two complementary ways of being metaphysically basic—one applying to immaterial monads, the other to corporeal substances. Although corporeal substances derive their status as basic from their dominant monads, they are nevertheless fully real, unified, and genuinely capable of acting. This perspective respects Leibniz’s (...) idealist tendencies and his commitment to the reality of bodies without attributing inconsistency to his considered views. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.Harmonizing Leibniz’s OntologyVolume 51, Issue 3ANDREW D. H. STUMPF DOI: https://doi.org/10.1017/S0012217312000704Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. Harmonizing Leibniz’s OntologyVolume 51, Issue 3ANDREW D. H. STUMPF DOI: https://doi.org/10.1017/S0012217312000704Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. Harmonizing Leibniz’s OntologyVolume 51, Issue 3ANDREW D. H. STUMPF DOI: https://doi.org/10.1017/S0012217312000704Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

This paper examines the origin, range and meaning of the Principle of Action and Reaction in Kant’s mechanics. On the received view, it is a version of Newton’s Third Law. I argue that Kant meant his principle as foundation for a Leibnizian mechanics. To find a ‘Newtonian’ law of action and reaction, we must look to Kant’s ‘dynamics,’ or theory of matter. I begin, in part I, by noting marked differences between Newton’s and Kant’s laws of action and reaction. I (...) argue that these are explainable by Kant’s allegiance to a Leibnizian mechanics. I show (in part II) that Leibniz too had a model of action and reaction, at odds with Newton’s. Then I reconstruct how Jakob Hermann and Christian Wolff received Leibniz’s model. I present (in Part III) Kant’s early law of action and reaction for mechanics. I show that he devised it so as to solve extant problems in the Hermann-Wolff account. I reconstruct Kant’s views on ‘mechanical’ action and reaction in the 1780s, and highlight strong continuities with his earlier, pre-Critical stance. I use these continuities, and Kant’s earlier engagement with post-Leibnizians, to explain the un-Newtonian features of his law of action and reaction. (shrink)

I advance a novel interpretation of Kant's argument that our original representation of space must be intuitive, according to which the intuitive status of spatial representation is secured by its infinitary structure. I defend a conception of intuitive representation as what must be given to the mind in order to be thought at all. Discursive representation, as modelled on the specific division of a highest genus into species, cannot account for infinite complexity. Because we represent space as infinitely complex, the (...) spatial manifold cannot be generated discursively and must therefore be given to the mind, i.e. represented in intuition. (shrink)

This essay explores the use of platonist and nominalist concepts, derived from the philosophy of mathematics and metaphysics, as a means of elucidating the debate on spacetime ontology and the spatial structures endorsed by scientific realists. Although the disputes associated with platonism and nominalism often mirror the complexities involved with substantivalism and relationism, it will be argued that a more refined three-part distinction among platonist/nominalist categories can nonetheless provide unique insights into the core assumptions that underlie spatial ontologies, but it (...) also assists in critiquing alternative uses of nominalism, platonism, and both ontic and epistemic structural realism. (shrink)

This essay presents an alternative to contemporary substantivalist and relationist interpretations of quantum gravity hypotheses by means of an historical comparison with the ontology of space in the seventeenth century. Utilizing differences in the spatial geometry between the foundational theory and the theory derived from the foundational, in conjunction with nominalism and platonism, it will be argued that there are crucial similarities between seventeenth century and contemporary theories of space, and that these similarities reveal a host of underlying conceptual issues (...) that the substantival/relational dichotomy fails to distinguish. (shrink)

What did Leibniz have to contribute to the philosophy of mind? To judge from textbooks in the philosophy of mind, and even Leibniz commentaries, the answer is: not much. That may be because Leibniz’s philosophy of mind looks roughly like a Cartesian philosophy of mind. Like Descartes and his followers, Leibniz claims that the mind is immaterial and immortal; that it is a thinking thing ; that it is a different kind of thing from body and obeys its own laws; (...) and that it comes stocked with innate truth-tracking intellectual ideas and an epistemically troubling habit of forming confused sensory ideas on the occasion of external corporeal events. Nothing is new. Of course, Leibniz adds unconscious perceptions to the mind in the form of his famous petites perceptions, and he offers a unique solution to the problem of mind-body interaction in the form of his infamous pre-established harmony. In the overall scheme of things, however, these look like minor alterations in a philosophy of mind that the Cartesians had been advocating for some fifty years. Or so it appears. (shrink)

: This essay examines Catharine Cockburn's moral philosophy as it is developed in her Defence of Mr. Locke's Essay on Human Understanding. In this work, Cockburn argues that Locke's epistemological principles provide a foundation for the knowledge of natural law. Sheridan suggests that Cockburn's objective in defending Locke's moral epistemology was conditioned by her own prior commitment to a significantly un-Lockean theory of morality. In exploring Cockburn's views on morality in terms of their divergence from Locke's, the author hopes to (...) underscore the extent of Cockburn's intellectual independence and her philosophical creativity. (shrink)

Extensionalism, as I understand it here, is the view that physical reality consists exclusively of extensional entities. On this view, intensional entitities must either be eliminated in favor of an ontology of extensional entities, or be reduced to such an ontology, or otherwise be admitted as non-physical. In this paper I argue that extensionalism is a misguided philosophical doctrine. First, I argue that intensional phenomena are not confined to the realm of language and thought. Rather, the ontology of such phenomena (...) is intimately entwined with the ontology of properties. After providing some evidence to the popularity of extensionalism in contemporary analytic philosophy, I investigate the motivating reasons behind it. Considering several explanations, I argue that the main motivating reason is rooted in the identification of matter with extension, an identification which is one of the hallmarks of the mechanistic conception of nature inherited from the founding fathers of our modern scientific outlook. I then argue that such a conception is not only at odds with a robust ontology of properties but is also at odds with our best contemporary physics. Rather than vindicating extensionalism contemporary science undermines the position, and the lesson to be drawn from this surprising fact is that extensionalism needs no longer be espoused as a regulative ideal of naturalistic philosophy. I conclude by showing that the ontological approach to intensional phenomena advocated throughout the paper also gains support from an examination of the historical context within which ‘intension’ was first introduced as a semantic notion. (shrink)

The purpose of this paper is to assess the prospects for a neo‐logicist development of set theory based on a restriction of Frege's Basic Law V, which we call (RV): ∀P∀Q[Ext(P) = Ext(Q) ≡ [(BAD(P) & BAD(Q)) ∨ ∀x(Px ≡ Qx)]] BAD is taken as a primitive property of properties. We explore the features it must have for (RV) to sanction the various strong axioms of Zermelo–Fraenkel set theory. The primary interpretation is where ‘BAD’ is Dummett's ‘indefinitely extensible’.1 Background: what (...) and why?2 Framework3 GOOD candidates, indefinite extensibility4 The framework of (RV) alone, or almost alone5 The axioms6 Brief closing. (shrink)

This chapter contains sections titled: Spinoza and the Passionate Imagination Leibniz and the Logic of Imagination Wolff and the Scholasticism of Imagination Conclusion.

Many historical and philosophical studies treat infinity as an exclusively quantitative notion, whose proper domain of application is mathematics and physics. The main aim of this paper is to disentangle, by critically examining, three notions of infinity in the early modern period, and to argue that one—but only one—of them is quantitative. One of these non-quantitative notions concerns being or reality, while the other concerns a particular iterative property of an aggregate. These three notions will emerge through examination of three (...) central figures in the period: Locke, Descartes, and Leibniz. (shrink)