The emerging crealectic frame posits that there are three complementary and effectual domains of intelligence, namely analytic, dialectic, and crealectic, being alternatively or complementarily used in human interactions with the world. The focus of crealectic intelligence is the relative possibilization and local realization of absolute possibility, the becoming real, biological, and social of creation. This multimodal externalization and asymptotic unification of a cosmological flux expresses itself via three realms of possibilization: physical, psychological, and philosophical. But the philosophical possible is not (...) merely abstract; it originates a generative process of exteriorizations, interiorizations, dissolutions, and unifications transforming the possible into realities. The term “crealectics,” coined by philosopher and author Luis de Miranda, is a compound of “Creal” and of two possible suffixes: “logos” or “ektos”. The ontological core of crealectics, the Creal, is the immanent process of creation understood as a ubiquitous stream of absolute possibility exteriorizing itself. For a crealectician, philosophy is not the mere logical analysis of truth conditions, but the self-questioning enterprise of thought regarding its own possibilizing and world-making power. (shrink)

This volume examines the entire logical and philosophical production of Nikolai A. Vasil’ev, studying his life and activities as a historian and man of letters. Readers will gain a comprehensive understanding of this influential Russian logician, philosopher, psychologist, and poet. The author frames Vasil’ev’s work within its historical and cultural context. He takes into consideration both the situation of logic in Russia and the state of logic in Western Europe, from the end of the 19th century to the beginning of (...) the 20th. Following this, the book considers the attempts to develop non-Aristotelian logics or ideas that present affinities with imaginary logic. It then looks at the contribution of traditional logic in elaborating non-classical ideas. This logic allows the author to deal with incomplete objects just as imaginary logic does with contradictory ones. Both logics are objects of interesting analysis by modern researchers. (shrink)

I examine Du Châtelet’s methodology for physics and metaphysics through the lens of her engagement with Newton’s Rules for Reasoning in Natural Philosophy. I first show that her early manuscript writings discuss and endorse these Rules. Then, I argue that her famous published account of hypotheses continues to invoke close analogues of Rules 3 and 4, despite various developments in her position. Once relevant experimental evidence and some basic constraints are met, it is legitimate to inductively generalize from observations; general (...) hypotheses can thereafter be assumed as true until contrary experiments show otherwise. I conclude by arguing that this account of induction plays an essential role in her metaphysics, both in an argument for simple substances—which has an inductive premise—and in her attempt to distinguish acceptable and unacceptable metaphysical commitments. (shrink)

Quantitative researchers often discuss research ethics as if specific ethical problems can be reduced to abstract normative logics (e.g., virtue ethics, utilitarianism, deontology). Such approaches overlook how values are embedded in every aspect of quantitative methods, including ‘observations,’ ‘facts,’ and notions of ‘objectivity.’ We describe how quantitative research practices, concepts, discourses, and their objects/subjects of study have always been value-laden, from the invention of statistics and probability in the 1600s to their subsequent adoption as a logic made to appear as (...) if it exists prior to, and separate from, ethics and values. This logic, which was embraced in the Academy of Management from the 1960s, casts management researchers as ethical agents who ought to know about a reality conceptualized as naturally existing in the image of statistics and probability (replete with ‘constructs’), while overlooking that S&P logic and practices, which researchers made for themselves, have an appreciable role in making the world appear this way. We introduce a different way to conceptualize reality and ethics, wherein the process of scientific inquiry itself requires an examination of its own practices and commitments. Instead of resorting to decontextualized notions of ‘rigor’ and its ‘best practices,’ quantitative researchers can adopt more purposeful ways to reason about the ethics and relevance of their methods and their science. We end by considering implications for addressing ‘post truth’ and ‘alternative facts’ problems as collective concerns, wherein it is actually the pluralistic nature of description that makes defending a collectively valuable version of reality so important and urgent. (shrink)

Authority arguments generate support for claims by appealing to an agent’s authority status, rather than to reasons independent of it. With few exceptions, the current literature on argument schemes acknowledges two basic authority types. The _epistemic_ type grounds in knowledge, the_ deontic_ type grounds in power. We review how historically earlier scholarship acknowledged an_ attractiveness-based_ and a _majority-based_ authority type as equally basic type. Crossing these with basic speech act types thus yields authority argument sub-schemes. Focusing on the_ epistemic-assertive_ sub-scheme (...) (‘an epistemic authority _A_ _E_ asserts a proposition _P_’), we apply a meta-level approach to specifying critical questions. Results improve the evaluation of this sub-scheme and show how similar improvements are obtainable for other schemes. (shrink)

A theory of definitions which places the eliminability and conservativeness requirements on definitions is usually called the standard theory. We examine a persistent myth which credits this theory to Leśniewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Leśniewski's published or unpublished work is known where the standard conditions are discussed. Second, Leśniewski's own logical theories allow for creative definitions. Third, Leśniewski's celebrated ‘rules of definition’ lay (...) merely syntactical restrictions on the form of definitions: they do not provide definitions with such meta-theoretical requirements as eliminability or conservativeness. On the positive side, we point out that among the Polish logicians, in the 1920s and 1930s, a study of these meta-theoretical conditions is more readily found in the works of Łukasiewicz and Ajdukiewicz. (shrink)

In the 1680s, Gottfried Leibniz and Antoine Arnauld engaged in a philosophically rich correspondence. One issue they discuss is modal metaphysics – questions concerning necessity, possibility, and essence. While Arnauld's contributions to the correspondence are considered generally astute, his contributions on this issue have not always received a warm treatment. I argue that Arnauld's criticisms of Leibniz are sophisticated and that Arnauld offers his own Cartesian account in its place. In particular, I argue that Arnauld offers an account of possibility (...) that is actualist, modal actualist and essence-based. (shrink)

In this paper I present and assess a controversy between Edmund Husserl and Heinrich Rickert on the nature of judgment, in order to bring to light the originality of Husserl's proposal concerning this important issue. In the first section I provide some context for Rickert's theory of judgment by sketching a reconstruction of nineteenth century logical theory and then proceed to introduce Rickert's view. I suggest that nineteenth century logic is characterized by a criticism of the traditional view that sees (...) categorial judgment as the essential form of judgment and the uniting and separating of ideas as sufficient for the constitution of a judgment. Hume inaugurates this criticism, but it finds its most mature expression in the work of Lotze, Brentano, and Rickert. Rickert, in particular, sees simple affirmation and negation of the transcendent value of truth as the essence of judgment. In the second section I present Husserl's criticism of Rickert. Husserl's criticism revolves around the distinction between simple judgments and the higher-order affirmative or negative stance we can adopt with respect to previously articulated simple judgments. Simple judgments register the mereological relation holding among something and one of its properties, and they do not entail an affirmative or negative stance. Their function is to constitute states of affairs drawing on concrete perceptual situations. Higher-order affirmation or negation occurs when we set out to revisit a foregoing simple judgment in order to confirm or disconfirm the veridicality of its proposed state of affairs. In the third part I suggest a diagnosis of the origin of the mistake in earlier theories. Simple judgments are easy to conflate with non-simple, higher-order judgmental stances because they have the same logical value and they cannot be seen without the aid of genuinely phenomenological reflection. In conclusion, I suggest that Husserl's analysis amounts to a vindication of categorial judgment in its traditional form ‘S is P’, which continues to maintain a phenomenological legitimacy even in the wake of Frege's canonical dismissal of subject and predicate. (shrink)

No presente artigo, pretendemos oferecer uma análise da explication nominal de Leibniz do que é “ser uma substância individual” oferecida em Discurso de Metafísica §8, assim como uma concernindo o entendimento leibniziano do que sejam definições nominais em geral. O presente artigo será dividido em quatro partes: Em primeiro lugar, tentaremos argumentar contra uma interpretação tradicional e bem-estabelecida, embora não completamente incontroversa, da explication de Leibniz em Discurso de Metafísica §8. Em segundo lugar, tentaremos abordar o entendimento geral de Leibniz (...) de uma definição nominal, ao passo que argumentamos a favor da implicação mútua entre as duas definições disponíveis no corpus leibnitianum. Em terceiro lugar, pretendemos apresentar uma interpretação alternativa positiva da explication de Leibniz. Finalmente, tentaremos lidar com um aparente problema de tal interpretação concernindo ao comprometimento existencial presente na mesma por meio de uma análise do uso estrito por parte de Leibniz do termo “substância”. (shrink)

I argue that, against what is commonly believed, Spinoza’s use of the relation of constitution to characterize the relation between attributes and the essence of a substance does not indicate that, for him, there must be a numerical identity between each attribute and the essence constituted by that attribute. To do this, I follow a twofold strategy. First, I contend that the claim that because in Spinoza’s time constitution was understood as a one- to-one relation is mistaken: the main logicians (...) of Spinoza’s time, all Cartesian philosophers, believe that the constitution of an essence can be a many-to-one relation. I show that Spinoza can both accept that constitution is a many-one relation and share Descartes’ understanding of this relation. Second, I defend the claim that Spinoza’s use of constitution in the Ethics is consistent with these logicians’ account of constitution. In particular, I focus on Spinoza’s inclusion of the intellect in the definition of attribute and his definition of God. (shrink)

Most recent discussions of John Stuart Mill’s System of Logic (1843) neglect the fifth book concerned with logical fallacies. Mill not only follows the revival of interest in the traditional Aristotelian doctrine of fallacies in Richard Whately and Augustus De Morgan, but he also develops new categories and an original analysis which enhance the study of fallacies within the context of what he calls ‘the philosophy of error’. After an exploration of this approach, the essay relates the philosophy of error (...) to the discussion of truth and error in chapter two of On Liberty (1859) concerned with freedom of thought and discussion. Drawing on Socratic and Baconian perspectives, Mill defends both the traditional study of logic against Jevons, Boole, De Morgan, and others, as well as the study of fallacies as the key to maintaining truth and its dissemination in numerous fields, such as science, morality, politics, and religion. In Mill’s view the study of fallacies also liberates ordinary people to explore the truth and falsity of ideas and, as such, to participate in society and politics and develop themselves as progressive beings. (shrink)

It is sometimes mentioned that Bernard Bolzano’s work on grounding anticipates many insights of the current debate on metaphysical grounding. The present paper discusses a certain part of Bolzano’s theory of grounding that has thus far not been discussed in the literature. This part does not so much anticipate what are nowadays common assumptions about grounding, but rather goes beyond them. Central to the discussion will be a thesis of Bolzano’s by which he tries to establish a connection between grounding (...) and unification. The paper spells out this thesis in detail and discusses the assumptions on which it rests. Next to this mainly historical aim, the paper also presents reasons why philosophers who are not interested in the historical Bolzano should find the thesis interesting by relating it to a certain view on unification and explanation that has been put forward by Kim. A final part of the paper provides a critical evaluation of the thesis against the background of current accounts of grounding. (shrink)

Malebranche argues that ideas are representative beings existing in God. He defends this thesis by an inference to the best explanation of human perception. It is well known that Malebranche’s theory of vision in God was forcefully rejected by philosophers such as Arnauld, Locke, and Berkeley. However, the notion that ideas exist in God was not the only controversial aspect of Malebranche’s approach. Another controversy centered around Malebranche’s view that ideas are to be understood as posits in an explanatory theory. (...) Opponents of this approach, including Arnauld and Locke, held that our talk about ideas was not explanatory but instead merely descriptive: we use the word ‘idea’ to describe phenomena that we observe by reflecting on our own minds. This controversy has not received much attention from scholars, but in the present paper I will show that it was an explicit and important subject of concern for Malebranche, Arnauld, Locke, and Berkeley and that attention to this controversy can illuminate several aspects of these philosophers’ work. (shrink)

The defense of common sense in Berkeley's Three Dialogues is, first and foremost, a defense of the gardener's claim to know this cherry tree, a claim threatened by both Cartesian and Lockean philosophy. Berkeley's defense of the gardener's knowledge depends on his claim that the being of a cherry tree consists in its being perceived. This is not something the gardener believes; rather, it is a philosophical analysis of the rules unreflectively followed by the gardener in his use of the (...) word 'exists'. It is by following these rules that the gardener gains knowledge of the cherry tree. Uncovering these deep connections between Berkeley's epistemology and his philosophy of language and placing them in the context of his critique of both Cartesian and Lockean philosophy will clarify Berkeley's strategy for bringing his reader back to common sense and practical engagement in the ordinary affairs of life. (shrink)

In his dispute with Malebranche about the nature of ideas, Arnauld endorses a form of direct realism. This appears to conflict with views put forward by Arnauld and his collaborators in the Port-Royal Grammar and Logic where ideas are treated as objects in the mind. This tension can be resolved by a careful examination of Arnauld's remarks on the semantics of ‘perception’ and ‘idea’ in light of the Port-Royal theory of language. This examination leads to the conclusion that Arnauld's ideas (...) really are objects in the mind, and not perceptual acts as many commentators hold. What Arnauld denies is that these mental objects are really distinct from the external objects they represent. Instead, Arnauld holds that, by the act of conception, the external objects themselves—not copies—come to be present in the mind and are therefore called ‘ideas’. (shrink)

This paper argues that, for Bernard Nieuwentijt, mathematical reasoning on the basis of ideas is not the same as logical reasoning on the basis of propositions. Noting that the two types of reasoning differ helps make sense of a peculiar-sounding claim Nieuwentijt makes, namely that it is possible to mathematically deduce false propositions from true abstracted ideas. I propose to interpret Nieuwentijt’s abstracted ideas as incomplete mental copies of existing objects. I argue that, according to Nieuwentijt, a proposition is mathematically (...) deducible from an abstracted idea if it can be demonstrated that that proposition makes a true claim about the object that idea forms. This allows me to explain why Nieuwentijt deems it possible to deduce false propositions from true ideas. It also implies that logic and mathematics are not as closely related for Nieuwentijt as has been suggested in the existing secondary literature. (shrink)

Philosophers today have largely given up on the project of categorizing being. Aristotle’s ten categories now strike us as quaint, and no attempt to improve on that effort meets with much interest. Still, no one supposes that reality is smoothly distributed over space. The world at large comes in chunks, and there remains a widespread intuition, even among philosophers, that some of these chunks have a special sort of unity and persistence. These, we tend to suppose, are most truly agents (...) and subjects, and are what exist in the most proper sense of the term. We believe, in other words, in substances. (shrink)

Philosophers of the modern period are often presented as having made an elementary error: that of confounding the attitude one adopts toward a proposition with its content. By examining the works of Locke and the Port-Royalians, I show that this accusation is ill-founded and that Locke, in particular, has the resources to construct a theory of propositional attitudes.

This article canvases the main areas of controversy: the nature of Lockean signification and his position on propositions and particles.

The tendency to idealise artificial intelligence as independent from human manipulators, combined with the growing ontological entanglement of humans and digital machines, has created an “anthrobotic” horizon, in which data analytics, statistics and probabilities throw our agential power into question. How can we avoid the consequences of a reified definition of intelligence as universal operation becoming imposed upon our destinies? It is here argued that the fantasised autonomy of automated intelligence presents a contradistinctive opportunity for philosophical consciousness to understand itself (...) anew as holistic and co-creative, beyond the recent “analytic” moment of the history of philosophy. Here we introduce the concept of “crealectic intelligence”, a meta-analytic and meta-dialectic aspect of consciousness. Intelligent behaviour may consist in distinguishing discrete familiar parts or reproducible functions in the midst of noise via an analytic process of segmentation; intelligence may also manifest itself in the constitution of larger wholes and dynamic unities through a dialectic process of association or assemblage. But, by contrast, crealectic intelligence co-creates realities in the image of an ideal or truth, taking into account the desiring agent imbued with a sense of possibility, in a relationship not only with the Real but also with the creative sublime or “Creal”. (shrink)

In his groundbreaking work of 1969, Spinoza's Metaphysics: An Essay in Interpretation, Edwin Curley attacked the traditional understanding of the substance-mode relation in Spinoza, according to which modes inhere in substance. Curley argued that such an interpretation generates insurmountable problems, as had already been claimed by Pierre Bayle in his famous Dictionary entry on Spinoza. Instead of having modes inhere in substance Curley suggested that the modes’ dependence upon substance should be interpreted in terms of (efficient) causation, i.e., as committing (...) Spinoza to nothing over and above the claim that substance is the (efficient) cause of the modes. These bold and fascinating claims generated one of the most important scholarly controversies in Spinoza scholarship of the past thirty-five years. In this paper I argue against Curley’s interpretation and attempt to reestablish the traditional understanding of Spinozistic modes as inhering in God and as predicated of God. I also criticize Curley’s philosophical motivation for suggesting this interpretation. In order to show that, for Spinoza, modes are predicated of - and inhere in - substance, I will proceed in the following manner. First, I will summarize Curley’s arguments against substance-mode inherence and present his alternative interpretation of the substance-mode relation. I will then present what I consider to be the most compelling arguments against Curley’s interpretation. Some of these arguments have already been suggested in the literature of the past thirty years (and by Bayle); however, as far as I know, most of the arguments I will be making are new. In the subsequent section I will respond to objections that Curley and Bayle advance against Spinoza’s view of God as the substratum in which all things inhere. Finally, I will address whether Spinozistic modes are predicated of (and not only inhere in) substance, and whether Spinoza considered modes to be particular properties (or “tropes,” in the jargon of contemporary metaphysics). Since Bayle’s claims will be used both in support of and against Curley’s interpretation, it would be appropriate to say a few introductory words on Bayle’s stance. In his Spinoza entry, Bayle criticizes Spinoza’s claim that all things are modes of God, claiming that it “is the most monstrous hypothesis that could be imagined, the most absurd, and the most diametrically opposed to the most evident notions of our mind.” Bayle, however, has no doubt that when Spinoza claims that all things are modes of God, Spinoza means that all things inhere in God. Curley embraces Bayle’s arguments against Spinoza, but uses them in order to claim that we should not ascribe to Spinoza a view which is allegedly shown by Bayle to be absurd. What we should do, Curley argues, is to reinterpret the substance-mode relation as a relation of causal dependence, which would set Spinoza free from Bayle’s hook. Interestingly, as we shall soon see, Bayle himself discusses and rejects a very similar revisionary interpretation of the substance-mode relation. (shrink)

: Two common ways of explaining akrasia will be presented, one which focuses on strength of desire and the other which focuses on action issuing from practical judgment. Though each is intuitive in a certain way, they both fail as explanations of the most interesting cases of akrasia. Spinoza 's own thoughts on bondage and the affects follow, from which a Spinozist explanation of akrasia is constructed. This account is based in Spinoza 's mechanistic psychology of cognitive affects. Because Spinoza (...) 's account explains action asissuing from modes of mind that are both cognitive and affective, it captures the intuitions that motivate the two traditional views while avoiding the pitfalls that result from their one‐sided approaches. This project will allow us a fuller understanding of Spinozist moral psychology. In addition to this historical value, the Spinozist theory may offer a satisfactory explanation of certain hard cases of akrasia while avoiding the problems be set by other theories. For this reason, the Spinozist account could also be seen as a useful contribution to our philosophical understanding of the phenomenon of akrasia. (shrink)

This paper argues that Malebranche’s semantics sheds light on his metaphysics and epistemology, and is of interest in its own right. By recasting issues linguistically, it shows that Malebranche assumes a Neoplatonic semantic structure within Descartes’ dualism and Augustine’s theory of illumination, and employs linguistic devices from the Neoplatonic tradition. Viewed semantically, mental states of illumination stand to God and his ideas as predicates stand in Neoplatonic semantics to ideas ordered by a privative relation on “being.” The framework sheds light (...) on interpretive puzzles in Malebranche studies such as the way ideas reside in God’s mind, the notion of resemblance by which bodies imitate their exemplar causes, and the issue of direct vs. indirect perception through a mechanism by which agents can see bodies by “seeing” ideas. Malebranche’s semantics is of interest in its own right because it gives a full account of the mediating relations that determine indirect reference; lays out a correspondence theory of truth for necessary judgments; defines contingent truth as based on an indirect reference relation that is both descriptive and causal but that does not appeal to body-mind causation; and within his theory of perception, works out an account of singular reference in which singular terms carry existential import, refer indirectly via causal relations, but describe their referents only in a general way. (shrink)

The paper explores the existential import of universal affirmative in Descartes, Arnauld and Malebranche. Descartes holds, inconsistently, that eternal truths are true even if the subject term is empty but that a proposition with a false idea as subject is false. Malebranche extends Descartes? truth-conditions for eternal truths, which lack existential import, to all knowledge, allowing only for non-propositional knowledge of contingent existence. Malebranche's rather implausible Neoplatonic semantics is detailed as consisting of three key semantic relations: illumination by which God's (...) ideas cause mental terms, creation by which God's ideas cause material substances by a kind of ?ontic privation?, and sensation in which brain events occasion states of mental awareness. In contrast, Arnauld distinguishes two types of propositions ? necessary and contingent ? with distinct truth-conditions, one with and one without existential import. Arnauld's more modern semantics is laid out as a theory of reference that substitutes earlier causal accounts with one that adapts the medieval notion of objective being. His version anticipates modern notions of intentional content and appeals in its ontology only to substances and their modes. (shrink)

The paper shows that in the Art of Thinking (The Port Royal Logic) Arnauld and Nicole introduce a new way to state the truth-conditions for categorical propositions. The definition uses two new ideas: the notion of distributive or, as they call it, universal term, which they abstract from distributive supposition in medieval logic, and their own version of what is now called a conservative quantifier in general quantification theory. Contrary to the interpretation of Jean-Claude Parienté and others, the truth-conditions do (...) not require the introduction of a new concept of ‘indefinite’ term restriction because the notion of conservative quantifier is formulated in terms of the standard notion of term intersection. The discussion shows the following. Distributive supposition could not be used in an analysis of truth because it is explained in terms of entailment, and entailment in terms of truth. By abstracting from semantic identities that underlie distribution, the new concept of distributive term is definitionally prior to truth and can, therefore, be used in a non-circular way to state truth-conditions. Using only standard restriction, the Logic’s truth-conditions for the categorical propositions are stated solely in terms of (1) universal (distributive) term, (2) conservative quantifier, and (3) affirmative and negative proposition. It is explained why the Cartesian notion of extension as a set of ideas is in this context equivalent to medieval and modern notions of extension. (shrink)

It has been common wisdom for centuries that scientific inference cannot be deductive; if it is inference at all, it must be a distinctive kind of inductive inference. According to demonstrative theories of induction, however, important scientific inferences are not inductive in the sense of requiring ampliative inference rules at all. Rather, they are deductive inferences with sufficiently strong premises. General considerations about inferences suffice to show that there is no difference in justification between an inference construed demonstratively or ampliatively. (...) The inductive risk may be shouldered by premises or rules, but it cannot be shirked. Demonstrative theories of induction might, nevertheless, better describe scientific practice. And there may be good methodological reasons for constructing our inferences one way rather than the other. By exploring the limits of these possible advantages, I argue that scientific inference is neither of essence deductive nor of essence inductive. (shrink)

Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...) structure, because they differ in the placement of the logical constants “every” and “some”. By contrast, the sentences Every girl loves some boy. and Every boy loves some girl. are thought to have the same logical form, because “girl” and “boy” are not logical constants. Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions. (shrink)

At A71/B96–7 Kant explains that singular judgements are ‘special’ because they stand to the general ones as Einheit to Unendlichkeit. The reference to Einheit brings to mind the category of unity and hence raises a spectre of circularity in Kant’s explanation. I aim to remove this spectre by interpreting the Einheit-Unendlichkeit contrast in light of the logical distinctions among universal, particular and singular judgments shared by Kant and his logician predecessors. This interpretation has a further implication for resolving a controversy (...) over the correlation between the logical moments of quantity (universal, particular, singular) and the categorial ones (unity, plurality, totality). (shrink)

This paper examines the ethical and religious dimensions of mathematical practice in the early modern era by offering an interpretation of Antoine Arnauld and Pierre Nicole’s Nouveaux éléments de géométrie. According to these important figures of seventeenth-century French philosophy and theology, mathematics could achieve extra-mathematical or non-mathematical goals; that is, mathematics could foster practices of moral self-improvement, deepen the mathematician’s piety and cultivate epistemic virtues. The Nouveaux éléments de géométrie, which I contend offers the most robust account of the virtues (...) cultivated by mathematics in the period, was envisaged by its authors to cultivate moral, Christian and epistemic virtues that could serve in the fulfilment of moral and Christian obligations. In this paper, I set out the goals of mathematical inquiry for the Port-Royalists and describe the specific virtues they believed a revised edition of the Elements of Euclid could foster. I show that Arnauld and Nicole believed that an acquaintance with mathematics could render a student of Euclid more just, truth-loving, attentive and humble, and better able to discern truth from falsity. (shrink)

Over the past 60 years there have been tremendous advances made in Argumentation Theory. One crucial advance has been the move from the investigation of static arguments to a concern with dialogic interactions in concrete contexts. This focus has entailed a slow shift toward involving both non-logical and non-discursive elements in the analysis of an argument. I argue that the traditional attitude Informal Logic has displayed toward emotion can be and ought be moderated. In particular, I examine the role of (...) emotion in everyday argumentation, and how Informal Logic can encompass it alongside the more traditional logical mode of communication. (shrink)

The present paper argues for the relevance of Immanuel Kant and the German Enlightenment to contemporary social epistemology. Rather than distancing themselves from the alleged ‘individualism’ of Enlightenment philosophers, social epistemologists would be well-advised to look at the substantive discussion of social-epistemological questions in the works of Kant and other Enlightenment figures. After a brief rebuttal of the received view of the Enlightenment as an intrinsically individualist enterprise, this paper charts the historical trajectory of philosophical discussions of testimony as a (...) source of knowledge, via such philosophers as C. Thomasius, C. A. Crusius, J. M. Chladenius, G. F. Meier, and finally Kant. Building on recent work on Kant's epistemology of testimony, the paper considers Kant's broader contributions to social epistemology. This includes an analysis of Kant's comments on the social basis of contingent epistemic standards, e.g. in the sciences, as well as on problems arising from the management of what Kant calls the growing ‘volume of knowledge’. Special attention is paid to the relation between Kant's views and contemporary problems arising both in the context of education and from our increased reliance on scientific experts. (shrink)

This is a critical examination of Antoine Arnauld's Logic or the Art of Thinking (1662), commonly known as the Port-Royal Logic. Rather than reading this work from the viewpoint of post-Fregean formal logic or the viewpoint of seventeenth-century intellectual history, I approach it with the aim of exploring its relationship to that contemporary field which may be labeled informal logic and/or argumentation theory. It turns out that the Port-Royal Logic is a precursor of this current field, or conversely, that this (...) field may be said to be in the same tradition. (shrink)

This is a critical appreciation of Govier’s 2006 ISSA keynote address on the fallacy of composition, and of economists’ writings on this fallacy in economics. I argue that the “fallacy of composition” is a problematical concept, because it does not denote a distinctive kind of argument but rather a plurality, and does not constitute a distinctive kind of error, but rather reduces to oversimplification in arguing from micro to macro. Finally, I propose further testing of this claim based on examples (...) involving public vs. private debt in economics; oligarchic tendencies in politics, and the emergence of societal wholes in sociology. (shrink)

This paper formalizes part of the cognitive architecture that Kant develops in the Critique of Pure Reason. The central Kantian notion that we formalize is the rule. As we interpret Kant, a rule is not a declarative conditional stating what would be true if such and such conditions hold. Rather, a Kantian rule is a general procedure, represented by a conditional imperative or permissive, indicating which acts must or may be performed, given certain acts that are already being performed. These (...) acts are not propositions; they do not have truth-values. Our formalization is related to the input/ output logics, a family of logics designed to capture relations between elements that need not have truth-values. In this paper, we introduce KL3 as a formalization of Kant’s conception of rules as conditional imperatives and permissives. We explain how it differs from standard input/output logics, geometric logic, and first-order logic, as well as how it translates natural language sentences not well captured by first-order logic. Finally, we show how the various distinctions in Kant’s much-maligned Table of Judgements emerge as the most natural way of dividing up the various types and sub-types of rule in KL3. Our analysis sheds new light on the way in which normative notions play a fundamental role in the conception of logic at the heart of Kant’s theoretical philosophy. (shrink)

In the “Appendix” to the Treatise, Hume claims that he has discovered a “very considerable” mistake in his earlier discussion of the self. Hume's expression of the problem is notoriously opaque, leading to a vast scholarly debate as to exactly what problem he identified in his earlier account of the self. I propose a new solution to this interpretive puzzle. I argue that a tension generated by Hume's conceptual skepticism about real “principles of union” and his account of fictions of (...) the imagination is the defect identified in the “Appendix.”. (shrink)

I argue that any broadly dispositional analysis of probability will either fail to give an adequate explication of probability, or else will fail to provide an explication that can be gainfully employed elsewhere (for instance, in empirical science or in the regulation of credence). The diversity and number of arguments suggests that there is little prospect of any successful analysis along these lines.

The paper discusses the place and the status of fallacies in Arnauld and Nicole’s Port-Royal Logic, which seems to be the first book to introduce a radical change from the traditional Aristotelian account of fallacies. The most striking innovation is not in the definition of a fallacy but in the publication of a new list of fallacies, dropping some Aristotelian ones and adding more than ten new ones. The first part of the paper deals with the context of the book’s (...) publication. We then show the influence of Cartesian and Augustinian/Pascalian philosophy on the whole book, especially their common critical views about logic, dialectic and their traditional academic teaching. The third part of the paper discusses the two chapters on fallacies. It focuses on their place in the book and their relation with its general orientation, before turning to their content, closely connected with some major concerns of the time. (shrink)

In recent work, Scott Soames (2010, 2013, 2015, 2019) and Peter Hanks (2011, 2013, 2015) have developed a theory of propositions on which these are constituted by complexes of intellectual acts. In this article, I adapt this type of theory to provide an account of perceptual content. After introducing terminology in section 1, I detail the approach proffered by Soames and Hanks in section 2, focusing on Hanks’s version. In section 3, I introduce a problem that these theories face, namely, (...) how to account for the unity among the relevant intellectual acts. Section 4 provides an answer to this problem of unity, while section 5 explicates the relation to Soames and Hanks. In section 6, I extend the model to a theory of the unity of experiential consciousness. Finally, in section 7, I apply the preceding considerations to debates about the nature of perceptual representation. The upshot will be that experiential unity is not simply a phenomenal feature of consciousness, but central to an account of the role perceptual representation plays in perceptual cognition. (shrink)

The standard arguments for antirealism are densely abstract, often enigmatic, and thus unpersuasive. The ubiquity and irreducibility of what linguists call generic statements provides a clear argument from a specific and readily understandable case. We think and talk about the world as necessarily subject to generalization. But the chief vehicles of generalization are generic statements, typically of the form “Fs are G,” not universal statements, typically of the form “All Fs are G.” Universal statements themselves are usually intended and understood (...) as though they were only generic. Even if there are universal facts, as Russell held, there are no generic facts. There is no genericity in the world as it is “in-itself.” There is genericity in it only as it is “for-us.”. (shrink)

Hume’s critique of religion in the first ’Enquiry’ is a unified whole. ’Of Miracles’ is not a free-standing critique of religion, but the first part of a two-stage argument. Hume follows Locke in subordinating evidence for miracles to natural theological arguments for the existence of God--without such supports miraculous claims are incredible (’disproven’ in his special sense). He differs from Locke in arguing, in ’Of a particular Providence’, that no such arguments are available. The decline of natural theology after Darwin (...) explains why ’Of Miracles’ is now mistaken for a free-standing argument. (shrink)

Our modern ideals about liberty were forged in the great political and philosophical debates of the 17th and 18th centuries, but we seldom hear about women's contributions to those debates. This paper examines the ideas of early modern English women – namely Margaret Cavendish, Mary Astell, Mary Overton, ‘Eugenia’, Sarah Chapone and the civil war women petitioners – with respect to the classic political concepts of negative, positive and republican liberty. The author suggests that these writers' woman-centred concerns provide a (...) unique historical perspective on these much-discussed ideals of freedom from external interference, freedom as self-determination and freedom from domination. (shrink)

Berkeley didn’t write very much about his ‘philosophy of mind’ and what he did write is rather perplexing and perhaps inconsistent. The most basic problem is that it just isn’t clear what a mind (or, more accurately, a spirit) is for Berkeley. Unsurprisingly, many interpretations tend to understand Berkeleian spirit in models provided by other philosophers – interpretations in which Berkeleian spirit turns out to be a close cousin of the Cartesian ego, Lockean spiritual substratum, Lockean self, and Humean bundle (...) of perceptions. Stephen H. Daniel and I have each offered different interpretations of Berkeley that refuse to reduce Berkeley’s account of spirit to that of other canonical thinkers and, indeed, which place Berkeleian spirit in some tension with the Aristotelian‐Cartesian‐Lockean traditions. In this paper, I argue that Daniel’s account is too extreme in that it implausibly removes Berkeley from this tradition altogether. I show how my account avoids that extreme and I defend it against some objections. (shrink)

This work examines Kant’s remarkable decision to rewrite the core argument of the first Critique, the Transcendental Deduction of the Categories. I identify a two-part structure common to both versions: first establishing an essential role for the categories in unifying sensible intuitions; and then addressing a worry about how the connection between our faculties asserted in the first part is possible. I employ this structure to show how Kant rewrote the argument, focusing on Kant’s response to the concerns raised in (...) an early review by Johann Schultz. Schultz’s dissatisfaction with the original Deduction lies in its second part, and Kant’s subsequent revisions are focused on providing a better answer to this how-possible question. The new Deduction offers a more direct and convincing account of how our faculties work together to make experience possible. (shrink)

Officially, for Kant, judgments are analytic iff the predicate is "contained in" the subject. I defend the containment definition against the common charge of obscurity, and argue that arithmetic cannot be analytic, in the resulting sense. My account deploys two traditional logical notions: logical division and concept hierarchies. Division separates a genus concept into exclusive, exhaustive species. Repeated divisions generate a hierarchy, in which lower species are derived from their genus, by adding differentia(e). Hierarchies afford a straightforward sense of containment: (...) genera are contained in the species formed from them. Kant's thesis then amounts to the claim that no concept hierarchy conforming to division rules can express truths like '7+5=12.' Kant is correct. Operation concepts ( ) bear two relations to number concepts: and are inputs, is output. To capture both relations, hierarchies must posit overlaps between concepts that violate the exclusion rule. Thus, such truths are synthetic. (shrink)

Some authors have begun to appeal directly to studies of argumentation in their analyses of mathematical practice. These include researchers from an impressively diverse range of disciplines: not only philosophy of mathematics and argumentation theory, but also psychology, education, and computer science. This introduction provides some background to their work.

In the Preface to the Three Dialogues<, Berkeley says that one of his main aims is to refute the free-thinkers. Puzzlingly, however, we are then treated to a dialogue between two Christians in which the free-thinkers never reappear. This is related to a second, more general puzzle about Berkeley's religious polemics: although Berkeley says he is defending orthodox conclusions, he also reminds himself in his notebooks "To use the utmost Caution not to give the least Handle of offence to the (...) Church or Church-men." What is Berkeley worried about? Both of these puzzles are solved by the recognition that the argument against matter in the Three Dialogues is patterned after an argument for atheism that Berkeley attributed to Anthony Collins. Berkeley's aim is thus to use the free-thinkers' own premises and arguments against them. In doing this, however, he rejects doctrines many churchmen held dear -- most notably, the doctrine of divine analogy. (shrink)

In the Introduction to the Treatise concerning the Principles of Human Knowledge, Berkeley attacks the “received opinion that language has no other end but the communicating our ideas, and that every significant name stands for an idea” (PHK, Intro §19). How far does Berkeley go in rejecting this ‘received opinion’? Does he offer a general theory of language to replace it? If so, what is the nature of this theory? In this chapter, I consider three main interpretations of Berkeley's view: (...) the modified ideational theory, the speaker intentions theory, and the use theory. I argue that the use theory does, and its competitors do not, make sense of Berkeley's remarks on language in both the earlier and later works. (shrink)