Logical monism is the view that there is ‘One True Logic’. This is the default position, against which pluralists react. If there were not ‘One True Logic’, it is hard to see how there could be one true theory of anything. A theory is closed under a logic! But what is logical monism? In this article, I consider semantic, logical, modal, scientific, and metaphysical proposals. I argue that, on no ‘factualist’ analysis (according to which ‘there (...) is One True Logic’ expresses a factual claim, rather than an attitude like approval), does the doctrine have both metaphysical and methodological import. Metaphysically, logics abound. Methodologically, what to infer from what is not settled by the facts, even the normative ones. I conclude that the only interesting sense in which there could be One True Logic is noncognitive. The same may be true of monism about normative areas, like moral, epistemic, and prudential ones, generally. (shrink)

Logical pluralism as a thesis that more than one logic is correct seems very plausible for two basic reasons. First, there are so many logical systems on the market today. And it is unclear how we should decide which of them gets the logical rules right. On the other hand, logical monism as the opposite thesis still seems plausible, as well, because of normativity of logic. An approach which would manage to bring a synthesis of (...) both logical pluralism and logical monism is called for. I review the possible forms of logical pluralism and render them more plausible. I thus arrive at logical dynamism, a synthesis of various pluralisms and monism focused on how logic develops. (shrink)

Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common principles. Part I of Wolff’s book identifies the formal language in which the most general principles of logic must be expressed. This language turns out to be a version of syllogistic language already used by Aristotle. The universal validity of logical (...) principles, as well as the translatability of other logical languages into this language, are shown to depend only on the meanings of its logical vocabulary. Part II of the book answers the metalogical question concerning the deductive relation between general logic and special logical systems, which also have their own (less general) principles. This part identifies the rules according to which logical rules can be derived from principles. The main result of the book is that the highest principles of logic and metalogics are provided by the syllogistic, when properly understood. (shrink)

RESUMEN Este trabajo pretende relacionar dos debates emparentados sobre cómo la lógica y el lenguaje influyen sobre el pensamiento. Existe un eje de discusión en relación a si hay una pluralidad de lógicas o un único sistema lógico como criterio de evaluación para cualquier contexto de razonamiento. En lingüística, el debate surgido a partir de las interpretaciones fuertes y débiles de la hipótesis Sapir-Whorf ha centralizado la discusión en torno al grado de influencia o determinación del lenguaje sobre el pensamiento. (...) Desde perspectivas y marcos teórico-conceptuales diferentes, lógica y lingüística delimitan y problematizan un campo de indagación y reflexión. El artículo, desde una mirada transdisciplinar, pretende dar cuenta y postular vasos comunicantes entre estos debates atendiendo a los matices de cada enfoque, así como proponer una hipótesis propia sobre la problemática planteada. ABSTRACT This paper aims to relate two debates about how logic and language influence thought. There is an axis of discussion about whether there exists a plurality of logic or a single logical system as an evaluation criterion for any reasoning context. In linguistics, the debate arising from the strong and weak interpretations of the Sapir-Whorf hypothesis has centralized the discussion around the degree of influence or determination of language on thought. From different perspectives and theoretical-conceptual frameworks, logic, and linguistics delimit and problematize a field of inquiry and reflection. The article, from a transdisciplinary perspective, intends to account for and postulate communicating vessels between these debates, considering the nuances of each approach. It also seeks to propose its own hypothesis on the problem raised. (shrink)

There was a time when both Rudolf Carnap and Jc Beall were thought to be arch logical pluralists. Beall has since renounced his pluralistic views, but Carnap is still largely regarded as a pluralist. In this paper, I will show that there is good reason to think that Carnap is not a logical pluralist, at least in the way he is presented in the literature. Instead, I argue, he can be seen as a Beall-style logical monist at (...) the meta-level, in line with the views expressed in Beall (APHI 14:1–29, 2017 and NOUS 28:30–54, 2018). (shrink)

Logical monism is the claim that there is a single correct logic, the 'one true logic' of our title. The view has evident appeal, as it reflects assumptions made in ordinary reasoning as well as in mathematics, the sciences, and the law. In all these spheres, we tend to believe that there aredeterminate facts about the validity of arguments. Despite its evident appeal, however, logical monism must meet two challenges. The first is the challenge from (...) class='Hi'>logical pluralism, according to which there is more than one correct logic. The second challenge is to determine which form of logicalmonism is the correct one. One True Logic is the first monograph to explicitly articulate a version of logical monism and defend it against the first challenge. It provides a critical overview of the monism vs pluralism debate and argues for the former. It also responds to the second challenge by defending a particularmonism, based on a highly infinitary logic. It breaks new ground on a number of fronts and unifies disparate discussions in the philosophical and logical literature. In particular, it generalises the Tarski-Sher criterion of logicality, provides a novel defence of this generalisation, offers a clearnew argument for the logicality of infinitary logic and replies to recent pluralist arguments. (shrink)

According to the Adoption Problem certain basic logical principles cannot be adopted. Drawing on the AP, Suki Finn presents an argument against logical pluralism: Modus Ponens and Universal Instantiation both govern a general structure shared by every logical rule. As such, analogues of these two rules must be present in every meta-logic for any logical system L, effectively imposing a restriction to logical pluralism at the meta-level through their presence constituting a “meta-logical monism”. (...) We find a tension in the dual role that the “unadoptable rules” must play in Finn’s “meta-logical monism” rendering it ineffective to restrict logical theories and systems. Consequently, we argue they cannot be both analogues of MP and UI and inferentially productive. We conclude with a series of suggestions regarding where a more satisfying and robust interpretation of the AP could lie. (shrink)

Monism is the claim that only one object exists. While few contemporary philosophers endorse monism, it has an illustrious history – stretching back to Bradley, Spinoza and Parmenides. In this paper, I show that plausible assumptions about the higher-order logic of property identity entail that monism is true. Given the higher-order framework I operate in, this argument generalizes: it is also possible to establish that there is a single property, proposition, relation, etc. I then show why this (...) form of monism is inconsistent; because all propositions are identical, p is identical to ~p – and so they have the same truth-value. At least one of the assumptions that generate higher-order monism must be rejected. (shrink)

Dans la seconde moitié des années 1900, Bertrand Russell et Hugh MacColl échangèrent sans s’entendre sur les questions de l’implication et de l’existence, dans le cadre d’un débat plus général sur la nature de la logique. Il est tentant de voir dans cet échange une opposition entre le moniste logique Russell et le pluraliste MacColl. Dans cet article, j’affirme que cette interprétation est inexacte, et que les deux hommes étaient tous deux monistes, bien qu’ayant des allégeances différentes. La transition du (...) monisme au pluralisme ne s’effectue en réalité qu’à partir du début des années 1910, peu après la mort de MacColl en 1909. Les premiers signes de cette transition sont à trouver particulièrement chez le philosophe américain C. I. Lewis, le mathématicien néerlandais L. E. J. Brouwer, et le logicien polonais Jan Łukasiewicz. Ces auteurs sont des exemples de l’avènement graduel de la métalogique. (shrink)

In this paper I argue that we need to take irreducibly plural logic more seriously in metaphysical debates due to the fact that the verdict of many metaphysical debates hangs on it. I give two examples. The main example I focus on is the debate recently revived by Jonathan Schaffer over the fundamental cardinality of the world. I show how the three main arguments provided by Schaffer are unsound in virtue of an employment of plural logic. The second example I (...) give is a more general issue about the possibility of emergent properties of mereological wholes. Employing plural logic there is a new way to understand such cases. The upshot is that plural logic greatly matters to metaphysics and hence can no longer be ignored the way it has in this area. (shrink)

Logical pluralism is the claim that different accounts of validity can be equally correct. Beall and Restall have recently defended this position. Validity is a matter of truth-preservation over cases, they say: the conclusion should be true in every case in which the premises are true. Each logic specifies a class of cases, but differs over which cases should be considered. I show that this account of logic is incoherent. Validity indeed is truth-preservation, provided this is properly understood. Once (...) understood, there is one true logic, relevance logic. The source of Beall and Restall’s error is a recent habit of using a classical metalanguage to analyse non-classical logics generally, including relevance logic. (shrink)

Beall and Restall 2000; 2001; 2006 advocate a comprehensive pluralist approach to logic, which they call Logical Pluralism, according to which there is not one true logic but many equally acceptable logical systems. They maintain that Logical Pluralism is compatible with monism about metaphysical modality, according to which there is just one correct logic of metaphysical modality. Wyatt 2004 contends that Logical Pluralism is incompatible with monism about metaphysical modality. We first suggest that if (...) Wyatt were right, Logical Pluralism would be strongly implausible because it would get upside down a dependence relation that holds between metaphysics and logic of modality. We then argue that Logical Pluralism is prima facie compatible with monism about metaphysical modality. (shrink)

Telic monism in logic is the thesis that there is one single philosophically primary goal to logic. A different way to put it is that there is only one canonical application to logic. This thesis is widely present—implicitly or more explicitly—in the literature on the philosophy of logic, yet has not been examined nor argued for extensively. In this paper I will present and critically examine telic monism. One prominent candidate for the canonical application of logic, namely the (...) formal codification of logical consequence in natural language, will be challenged directly. The critique will then be generalized by appealing to a practice-based philosophy of logic. The general argument I put forth here claims that we have no principled reason to assume there to be just one primary goal to logic. Rather, I claim that it is more plausible that there actually is a variety of goals, purposes and applications to logic, without one of them enjoying primacy over the others. If this argument succeeds, at least one of the consequences is that it allows for a kind of logical pluralism that has previously been deemed insignificant, namely logical instrumentalism. (shrink)

This paper examines the metaphysical status of Ezumezu logic in the direction of logical realism. While presenting Ezumezu logic as a prototype of African logic, Chimakonam makes statements that somewhat entail logical monism. Using the method of critical analysis of related literature, the paper argues that presenting Ezumezu logic as one of the prototypes of African logic while at the same time making claims that elevate it to a hegemonic status, gives rise to what is regarded in (...) the paper as the monist-pluralist paradox. Drawing lessons from Abakedi’s ID paradox, the paper argues that a monist logical foundation for African logic cannot be consistently defended without paradoxes. The paper proposes that different African philosophies should be grounded by different African logics such that one need not be trained in one particular prototype such as Ezumezu logic or argue in conformity to it to qualify as an African professional or scholar. (shrink)

Logical monists and pluralists disagree about how many correct logics there are; the monists say there is just one, the pluralists that there are more. Could it turn out that both are wrong, and that there is no logic at all?

Logical pluralism is the view that there is more than one correct logic. This is not necessarily a controversial claim but in its most exciting formulations, pluralism extends to logics that have typically been considered rival accounts of logical consequence – to logics, that is, which adopt seemingly contradictory views about basic logical laws or argument forms. The logical pluralist challenges the philosophical orthodoxy that an argument is either deductively valid or invalid by claiming that there (...) is more than one way for an argument to be valid. In this book, Erik Stei defends logical monism, the view that there is exactly one correct logic. He provides a detailed analysis of different possible formulations of logical pluralism, and offers an original account of the plurality of correct logics that incorporates the benefits of both pluralist and monist approaches to logical consequence. His book will be valuable for a range of readers in the philosophy of logic. (shrink)

The paper demonstrates that Parmenides’ monism is a logical consequence of his criteria for philosophy, in conjunction with the logical operators he uses, and their holistic connection. Parmenides, I argue, is the first philosopher to set out explicit criteria for philosophy, establishing as criterion not only consistency, but also what I call rational admissibility, the requirement when giving an account of something that the account be based on rational analysis and can withstand rational scrutiny. I give a (...) detailed account of the logical operators Parmenides uses in his argument and of the way in which his notion of being is tailored to fit both them and his criteria for philoso-phy. (shrink)

_The Logical Reconstruction of the World (Aufbau) is one of the major works of Rudolf Carnap in which he attempts to put an end to some of the traditional disputes in epistemology by using what he calls 'construction theory'. In this paper, I shall try to show that the traditional dualist-monist debates are among those disputes that the construction theory aims to get rid of. I will show that Carnap's position on the mind-body problem is really close to what (...) Davidson later termed as 'anomalous monism' and that this is why Carnap fails to complete his logical construction at a crucial step. (edited). (shrink)

In order to prove the validity of logical rules, one has to assume these rules in the metalogic. However, rule-circular ‘justifications’ are demonstrably without epistemic value. Is a non-circular justification of a logical system possible? This question attains particular importance in view of lasting controversies about classical versus non-classical logics. In this paper the question is answered positively, based on meaning-preserving translations between logical systems. It is demonstrated that major systems of non-classical logic, including multi-valued, paraconsistent, intuitionistic (...) and quantum logics, can be translated into classical logic by introducing additional intensional operators into the language. Based on this result it is argued that classical logic is representationally optimal. In sec. 6 it is investigated whether non-classical logics can be likewise representationally optimal. The answer is predominantly negative but partially positive. Nevertheless the situation is not symmetric, because classical logic has important ceteris paribus advantages as a unifying metalogic. (shrink)

Charles S. Peirce (1839-1914), bekannt als Logiker, Philosoph, Mathematiker und Physiker, zählt zu den wichtigsten Denkern der modernen Wissenschaftsgeschichte. In der späten und wichtigsten Phase seines Schaffens (1891-1909) hat er programmatische Aufsätze sowie ausgewählte Vorlesungen explizit als eine Reihe für die Zeitschrift "The Monist" konzipiert, Beiträge, von denen bislang nur Ausschnitte und stark revidierte Fassungen veröffentlicht worden sind. Die erstmalige und vollständige Veröffentlichung der "Monist"-Texte in diesem Band beabsichtigt eine zeitgemäße Annäherung an das höchst heterogene Werk von Peirce. Sie ist (...) der Versuch, Peirces Gedanken der internationalen wissenschaftlichen Öffentlichkeit originalgetreu zu präsentieren. Zentrales Ziel der "Monist"-Reihe bildet die Begründung einer Methode der Semiotik. Die Abhandlungen präsentieren Erklärungen zu Universalgesetzmäßigkeiten wie Gefühle, Wille und Kognition, zu Differenzen zwischen auf Erfahrung basiertem und imaginiertem Wissen, aber auch zur Definition der Aufmerksamkeit als einer symbolischen Tätigkeit. Neben ihrer wissenschaftlichen Relevanz in der philosophischen, bildwissenschaftlichen und kulturwissenschaftlichen Forschung, in der Kognitionswissenschaft und Logik besitzen die von Peirce diskutierten Themen auch eine hohe Aktualität für die zeitgenössischen Naturwissenschaften. (shrink)

To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they (...) are founded on only one prominent statement by Kant. I will argue, however, that this statement takes on a very different meaning in a broader context of the history and philosophy of science, and that Kant and his supporters never advocated the logical monism that they are still said to hold today. (shrink)

A survey of contemporary work on logical pluralism.

When discussing Logical Pluralism several critics argue that such an open-minded position is untenable. The key to this conclusion is that, given a number of widely accepted assumptions, the pluralist view collapses into Logical Monism. In this paper we show that the arguments usually employed to arrive at this conclusion do not work. The main reason for this is the existence of certain substructural logics which have the same set of valid inferences as Classical Logic—although they are, (...) in a clear sense, non-identical to it. We argue that this phenomenon can be generalized, given the existence of logics which coincide with Classical Logic regarding a number of metainferential levels—although they are, again, clearly different systems. We claim this highlights the need to arrive at a more refined version of the Collapse Argument, which we discuss at the end of the paper. (shrink)

The Logical Reconstruction of the World (Aufbau) is oneof the major works of Rudolf Carnap in which he attempts to put an end to some of the traditional disputes in epistemology by using what he calls 'construction theory'. According to this theory, one or more constructional systems can be designed in which all the scientific and pre-scientific objects are logically made out of a limited number of basic elements. Carnap introduces some options for the basis of this system and (...) chooses the domain of the autopsychological, i.e., the domain of private elementary experiences, among them and tries to construct all the concepts out of them. This phenomenalistic reduction sometimes is seen as embracing a Cartesian dualism of mind and body or even a mentalistic monism. However, in this paper, I shall try to show that the traditional dualist-monist debates are among those disputes that the construction theory aims to get rid of. I will show that Carnap's position on the mind-body problem is really close to what Davidson later termed as 'Anomalous Monism' and that this is why Carnap fails to complete his logical construction at a crucial step. Whenever possible, logical constructions are to be substituted for inferred entities. (shrink)

It is often claimed that Russellian monism carries a commitment to a structuralist conception of physics, on which physics describes the world only in terms of its spatiotemporal structure and dynamics. We argue that this claim is mistaken. On Russellian monism, there is more to consciousness, and to the rest of concrete reality, than spatiotemporal structure and dynamics. But the latter claim supports only a conditional claim about physics: _if_ structuralism about physics is true, then there is more (...) to consciousness and to the rest of concrete reality than physics describes. Given the fundamental nature of their position, Russellian monists can, we argue, deny the antecedent without inconsistency. We also draw out two significant consequences of that result. One is that it provides a response to some recent objections to Russellian monism, by Alyssa Ney and Eric Hiddleston. The other consequence concerns a line of reasoning known as _the structure and dynamics argument_—reasoning that is thought to motivate Russellian monism. In David J. Chalmers’s version, which is regarded as canonical, structuralism about physics is implied by a premise. If our main thesis is true, then that version is problematic, at least from the perspective of Russellian monists who take the argument to motivate their theory. However, we argue, the argument can be reformulated without relying on structuralism about physics. (shrink)

Monists say that the nature of truth is invariant, whichever sentence you consider; pluralists say that the nature of truth varies between different sets of sentences. The orthodoxy is that logic and logical form favour monism: there must be a single property that is preserved in any valid inference; and any truth-functional complex must be true in the same way as its components. The orthodoxy, I argue, is mistaken. Logic and logical form impose only structural constraints on (...) a metaphysics of truth. Monistic theories are not guaranteed to satisfy these constraints, and there is a pluralistic theory that does so. (shrink)

Up to now theories of semantic information have implicitly relied on logical monism, or the view that there is one true logic. The latter position has been explicitly challenged by logical pluralists. Adopting an unbiased attitude in the philosophy of information, we take a suggestion from Beall and Restall at heart and exploit logical pluralism to recognise another kind of pluralism. The latter is called informational pluralism, a thesis whose implications for a theory of semantic information (...) we explore. (shrink)

After thousands of years of work, the mind-body problem endures as one of the most tantalizing issues in metaphysics. For my purposes I formulate the question as: What is the relation between consciousness and matter? The solution to the mind-body problem that I offer is a version of neutral monism, the view that mental and physical events are both to be derived from some stuff that in itself is neither physical nor mental. This paper specifies the conditions under which (...) consciousness and matter occur, rather than implying that thought and extension must be pervasive or that the difference between the mental and the physical is merely one of perspective or of conventional groupings of events, approaches that fail to do justice to our experience. My thesis is that neither consciousness nor matter is derived from the other, but rather both are constructions out of two relations of a single principle to itself, consciousness occurring within I-You, matter being an abstraction from I-it. An advantage of the proposal of the social character of consciousness is that it explains a feature of our world, the nearly identical extension of consciousness and reportability, which many commentators have noted but none explains. It may be thought that this coextension is logically or metaphysically necessary, but I show that this is false. (shrink)

The orthodox view of logic takes for granted the central importance of logical principles. Logic, and thus logical reasoning, is to be understood as a system of rules or principles with universal application. Let us call this orthodox view logical generalism. In this paper we argue that logical generalism, whether monist or pluralist, is wrong. We then outline an account of logical consequence in the absence of general logical principles, which we call logical (...) particularism. (shrink)

In the twentieth century pluralism became a common ideology of originally different idealistic philosophical schools, which logically led them to unite in the philosophy of postmodernism. At the end of the twentieth century pluralism become identified with political democracy. In Russia, the doctrine of recognition of equality of many independent ideologies as a basis of democracy has become the most popular in interpretation of K. Jaspers, K. Popper, and P. Feyerabend. The article demonstrates the ideological and methodological inconsistency of pluralism; (...) it shows that only the monism based on the concept of dialectical determinism may reveal objective grounds of democracy. Application of dialectical materialist conception of determinism to the disclosure of system of determinacy of society development reveals the unity of reason and no causal types of determination of this development. Therefore, the objective basis of democracy is not ‘a plurality of factors‘, but subordinated and coordinated system of determinants that define the objective tendency of society to non-State form of government. (shrink)

According to the logical pluralism of Beall and Restall, there are several distinct relations of logical consequence. Some critics argue that logical pluralism suffers from what I call the collapse problem: that despite its intention to articulate a radically pluralistic doctrine about logic, the view unintentionally collapses into logical monism. In this paper, I propose a contextualist resolution of the collapse problem. This clarifies the mechanism responsible for a plurality of logics and handles the motivating (...) data better than the original view. It is a major improvement that should be embraced by all logical pluralists. (shrink)

The most serious objection to Beall and Restall’s case-based logical pluralism is the so-called collapse argument. According to the collapse argument, logical pluralism is not genuinely pluralistic and collapses into a single privileged relation of logical consequence. In response, Caret offered an account of logical contextualism that supposedly maintains the merits of Beall and Restall’s case-based logical pluralism while circumventing the collapse argument. In this paper, I first point out a gap in the collapse argument (...) in that it does not affect pluralists who assume that there is no uniquely strongest admissible consequence relation. This gap, then, is closed by an improved version of the collapse argument, which makes use of Eklund’s classification of types of pluralism. Finally, I discuss how Caret’s logical contextualism cannot hold up against this new formulation of the collapse argument unless implausible assumptions about the contents of normative operators are made. Moreover, by reformulating the collapse argument, I determine the extent to which logical monism and pluralism oppose each other, paving the way for fruitful future discussion. (shrink)

The paper argues that Brentano was the exponent of a methodological monism, which is based on the requirement that science should be grounded on experience, and not on a speculative-idealistic principle, as in the case of German idealism. In Brentano’s psychological writings, this methodological requirement concretized in two different theses: The method of psychology is identical with the method of natural science; The method of psychology is inspired by the method of natural science. The thesis of this study is (...) that an important part of Psychology from an Empirical Standpoint is elaborated in accordance with T1. By contrast, Brentano’s Descriptive Psychology illustrates the subsequent decision to give up this idea. In its place, the aforementioned requirement is elaborated in the spirit of a methodological particularism that recommends the scientist elaborate his methods according to the specificity of the phenomena under investigation and to the difficulties that need to be overcome when approaching them. (shrink)

Modal rationalism includes the thesis that ideal primary positive conceivability entails primary possibility. Modal monism is the thesis that the space of logically possible worlds is coextensive with the space of metaphysically possible worlds. In this paper I explore the relation between the two theses. My aim is to show that the former thesis implies the latter thesis, and that problems with the latter make the former implausible as a complete picture of the epistemology of modality. My argument explores (...) the relation between logical modality and metaphysical modality. (shrink)

There has been a recent surge of interest in the idea that spacetime is not fundamental. Much of this interest has focused on the implications for physics. There has been less work investigating the implications of spacetime emergence for existing theories in metaphysics. This paper aims to fill this gap by considering the impact of spacetime emergence on priority monism. We argue that one prominent version of priority monism is incompatible with spacetime emergence. We go on to present (...) a solution to this problem, which involves rethinking the nature of concreteness. This leads to a new version of priority monism that is compatible with emergent spacetime. (shrink)

The article is centered on the question of how best to understand the logical pluralism/logical monism debate. A number of suggestions are brought up and rejected on the ground that they re...

_T__S_ is a logic that has no valid inferences. But, could there be a logic without valid metainferences? We will introduce _T__S_ _ω_, a logic without metainferential validities. Notwithstanding, _T__S_ _ω_ is not as empty—i.e., uninformative—as it gets, because it has many antivalidities. We will later introduce the two-standard logic [_T__S_ _ω_, _S__T_ _ω_ ], a logic without validities and antivalidities. Nevertheless, [_T__S_ _ω_, _S__T_ _ω_ ] is still informative, because it has many contingencies. The three-standard logic [ \(\mathbf {TS}_{\omega (...) }, \mathbf {ST}_{\omega }, [{\overline {\emptyset }}{\emptyset }, {\emptyset } {\overline {\emptyset }}]\) ] that we will further introduce, has no validities, no antivalidities and also no contingencies whatsoever. We will also present two more validity-empty logics. The first one has no supersatisfiabilities, unsatisfabilities and antivalidities ∗. The second one has no invalidities nor non-valid-nor-invalid (meta)inferences. All these considerations justify thinking of logics as, at least, three-standard entities, corresponding, respectively, to what someone who takes that logic as correct, accepts, rejects and suspends judgement about, just because those things are, respectively, validities, antivalidities and contingencies of that logic. Finally, we will present some consequences of this setting for the monism/pluralism/nihilism debate, and show how nihilism and monism, on one hand, and nihilism and pluralism, on the other hand, may reconcile—at least according to how Gillian Russell understands nihilism, and provide some general reasons for adopting a multi-standard approach to logics. (shrink)

Schaffer offers us in the last section of “On What Grounds What” (2009) an applied illustration of his allegedly Aristotelian metaontological position. According to this illustration, Schaffer’s metaontological position, supplemented with a few Aristotelian theses about substance and grounding, would converge in a view remarkably similar to his priority monism (Philosophical Studies, 145, 131–148, 2009b; Philosophical Review, 119, 31–76, 2010a), the view that there is one single fundamental substance. In this paper, I will argue against Schaffer’s suggestion that priority (...) monism represents a viable development of Aristotelian metaphysics. In particular, I will hold that the most plausible version of Schaffer’s priority monism by Aristotelian standards fails to satisfy basic Aristotelian tenets about dependence, composition, change, and persistence, and suggest that this is evidence that Aristotelians are more at home with a pluralism rather than a monism about substance. (shrink)

This chapter distinguishes between various senses in which one might be a pluralist about logic. In several of these, pluralism is uncontentiously correct. The difficult issue is whether there are different accounts of validity that are equally correct. It argues for logical monism in this regard.

Is there one univocal or generic notion of ground? Monists answer yes, while pluralists answer no. Pluralists argue that monism cannot meet plausible constraints on an adequate theory of ground. My aim in this paper is to articulate a monist theory of ground that can satisfy the pluralist constraints in a way that leaves the pluralists with no reasons not to endorse the monist picture of ground. I do this by adopting a tripartite conception of ground and then showing (...) that it has the resources to vindicate monism while satisfying the pluralist constraints on a theory of ground. (shrink)

Many authors show how useful logic can be as a tool for building theories that can account for problems in the philosophy of religion, such as paradoxical assertions. As a consequence, one's philosophy of logic is crucial as well, since it determines which logics, from the set of available and constructible logics, one can use to build a theory. In this paper, we present the relatively recent debate between logical pluralism and monism because the positions in this debate (...) determine which logic(s) can, with justification, be applied to build a theory that addresses problems in the philosophy of religion. We begin by presenting the problem of paradoxical assertions and the debate over logical pluralism that bears on the addressing paradoxical assertions. We then canvass strategies for arguing in favor of logical monism, and pluralism; ultimately, we conclude that the Western tradition has reached a stalemate on this issue. We then turn our attention to the potential for Indian religious traditions to contribute to the debate. We present the five-step-syllogism from Nyāya-Hindu philosophy, the four corners of reasoning from Buddhist philosophy, and the seven-fold theory of predication from Jaina philosophy. The upshot of our presentation is to lay the groundwork for cross-traditional logical debate by identifying the ways in which Indian discussions of debate and dialogue relate to modern approaches to logic and the philosophy of logic. (shrink)

The paper sketches an argument against modal monism, more specifically against the reduction of physical possibility to metaphysical possibility. The argument is based on semantic aspects of non-distributive quantum logic.