Quite a few scholars claim that many implicata are propositions about the speaker's epistemic or doxastic states. I argue, on the contrary, that implicata are generally non-epistemic. Some alleged cases of epistemic implicature are not implicatures in the first place because they do not meet Grice's non-triviality requirement, and epistemic implicata in general would infringe on the maxim of quantity. Epistemic implicatures ought to be construed as members of a larger family of implicature-like phenomena.

The COVID-19 pandemic paved the way for the emergence of the Boys’ Love (BL) theme and genre throughout various media platforms, causing disruptive visibility to the narratives and representation of gays (Andrada in an interview by Antonio, 2021; Ting, 2020). This disruption may have started a dialogue in social media, but this dialogue was only a limited attempt given that most of the discussions have stereotypical representations of gay men (Celso, 2020). This study analyzes how humor was applied in the (...) online comic, SariSari Story, and how humor is used in the portrayal of the gay characters in this online comic. The analysis uses Grice’s (2012) pragmatic framework of conversational maxims: quality, quantity, manner, and relation. Humor was indicated in the non-observance of one or more maxim(s), which, then, caused the implicatures. The study found that the most non-observed maxims were quantity, manner, and relation. The prominent type of humor present in the comic was the Freudian slip, where the slips contained sexual metaphors mostly associated with the characters’ sexual desires towards each other. As an example of the BL genre, the Sari-Sari Story online comic stereotyped its presentation of gay characters as hypersexual in their relationships with each other. In this, it deviated from the conventions of the Pinoy BL present in the mainstream media. (shrink)

It is generally recognised that an adequate resemblance-based account of depiction must specify some standard of correctness which explains how a picture’s content differs from the content we would attribute to it purely on the basis of resemblance. For example, an adequate standard should explain why stick figure drawings do not depict emaciated beings with gargantuan heads. Most attempts to specify a standard of correctness appeal to the intentions of the picture’s maker. However, I argue that the most detailed such (...) attempt to date is incomplete. I argue that an adequate standard can be given only if one construes a picture’s content as being pictorially implicated, in a way analogous to that in which Grice explains an utterance’s meaning as being conversationally implicated. I propose a theory of pictorial implicature and use it as the basis for an intention-based standard of correctness. I show how this standard is able to explain both the ways in which the content of pictures differs from the content we would attribute to them solely on the basis of resemblance, and how we are able to apply an intention-based standard of correctness even though we lack any independent knowledge of the intentions of pictures’ makers. (shrink)

It seems to be a common and intuitively plausible assumption that conversational implicatures arise only when one of the so-called conversational maxims is violated at the level of what is said. The basic idea behind this thesis is that, unless a maxim is violated at the level of what is said, nothing can trigger the search for an implicature. Thus, non-violating implicatures wouldn’t be calculable. This paper defends the view that some conversational implicatures arise even though no conversational maxim (...) is violated at the level of what is said. (shrink)

The present paper argues that there is a knowledge norm for conversational implicature: one may conversationally implicate p only if one knows p. Linguistic data about the cancellation behavior of implicatures and the ways they are challenged and criticized by speakers is presented to support the thesis. The knowledge norm for implicature is then used to present a new consideration in favor of the KK thesis. It is argued that if implicature and assertion have knowledge norms, then (...) assertion requires not only knowledge but iterated knowledge: knowing that you know that you know that... you know. Such a condition on permissible assertion is argued to be plausible only if the KK thesis is true. (shrink)

In this paper, we use concepts, structure and tools from argumentation theory to show how conversational implicatures are triggered by conflicts of presumptions. Presumptive implicatures are shown to be based on defeasible forms of inference used in conditions of lack of knowledge, including analogical reasoning, inference to the best explanation, practical reasoning, appeal to pity, and argument from cause. Such inferences are modelled as communicative strategies to knowledge gaps that shift the burden of providing the missing contrary evidence to the (...) other party in a dialogue. Through a series of illustrative examples, we show how such principles of inference are based on common knowledge about the ordinary course of events shared by participants in a structured dialogue setting in which they take turns putting forward and responding to speech acts. (shrink)

This paper is about conjunctions and disjunctions in the scope of non-doxastic atti- tude verbs. These constructions generate a certain type of ignorance implicature. I argue that the best way to account for these implicatures is by appealing to a notion of contex- tual redundancy (Schlenker, 2008; Fox, 2008; Mayr and Romoli, 2016). This pragmatic approach to ignorance implicatures is contrasted with a semantic account of disjunctions under `wonder' that appeals to exhausti cation (Roelofsen and Uegaki, 2016). I argue (...) that exhausti cation-based theories cannot handle embedded conjunctions, so a pragmatic account of ignorance implicatures is superior. (shrink)

In everyday conversations we often convey information that goes above and beyond what we strictly speaking say: exaggeration and irony are obvious examples. H.P. Grice introduced the technical notion of a conversational implicature in systematizing the phenomenon of meaning one thing by saying something else. In introducing the notion, Grice drew a line between what is said, which he understood as being closely related to the conventional meaning of the words uttered, and what is conversationally implicated, which can be (...) inferred from the fact that an utterance has been made in context. Since Grice’s seminal work, conversational implicatures have become one of the major research areas in pragmatics. This article introduces the notion of a conversational implicature, discusses some of the key issues that lie at the heart of the recent debate, and explicates tests that allow us to reliably distinguish between semantic entailments and conventional implicatures on the one hand and conversational implicatures on the other. (shrink)

In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, (...) as determinate particular natures, internally related by certain relations of proportion and order. By being determined by the nature of tropes, the relations of proportion and order remain invariant in conventional choice of unit for any quantity and give rise to natural divisions among tropes. As a consequence, tropes fall under distinct determinables and determinates. Our conception provides an accurate account of quantitative distances between tropes but avoids commitment to determinable universals. In this important respect, it compares favorably with the standard conception taking exact similarity and quantitative distances as primitive internal relations. Moreover, we argue for the superiority of our approach in comparison with two additional recent accounts of the similarity of quantity tropes. (shrink)

In the first part of this paper I make some general remarks about the relevance of semantics and pragmatics to argumentation theory, insisting on the importance of the reconstruction of speaker meaning for argument analysis, especially in the case of implicatures. In the second part of the paper I look more closely at the relation between argument and implicature. In the last part I discuss the concept of argumentative implicature, that is, implicatures that are generated by speech acts (...) of arguing. I maintain, against Jackson (1987), that there are no specifically argumentative implicatures. (shrink)

Implicatures are described as particular forms reasoning from best explanation, in which the para-digm of possible explanations consists of the possible semantic interpretations of a sentence or a word. The need for explanation will be shown to be triggered by conflicts between presumptions, namely hearer’s dialogical expectations and the presumptive sentence meaning. What counts as the best explanation can be established on the grounds of hierarchies of presumptions, dependent on dialogue types and interlocutors’ culture.

We experience resistance when we are engaging with fictional works which present certain (for example, morally objectionable) claims. But in virtue of what properties do sentences trigger this ‘imaginative resistance’? I argue that while most accounts of imaginative resistance have looked for semantic properties in virtue of which sentences trigger it, this is unlikely to give us a coherent account, because imaginative resistance is a pragmatic phenomenon. It works in a way very similar to Paul Grice's widely analysed ‘conversational (...) class='Hi'>implicature’. (shrink)

In recent work on the semantics of ‘knowledge’-attributions, a variety of accounts have been proposed that aim to explain the data about speaker intuitions in familiar cases such as DeRose’s Bank Case or Cohen’s Airport Case by means of pragmatic mechanisms, notably Gricean implicatures. This paper argues that pragmatic explanations of the data regarding ‘knowledge’-attributions are unsuccessful and concludes that in explaining those data we have to resort to accounts that (a) take those data at their semantic face value (Epistemic (...) Contextualism, Subject-Sensitive Invariantism or Epistemic Relativism), or (b) reject them on psychological grounds (Moderate Insensitive Invariantism). To establish this conclusion, the paper relies solely upon widely accepted assumptions about pragmatic theory, broadly construed, and on the Stalnakerian insight that linguistic communication takes place against the backdrop of a set of mutually accepted propositions: a conversation’s common ground. (shrink)

The philosophical problem of pictorial conversational implicatures can be summarized as follows: We have three propositions that are independently plausible and jointly inconsistent. -/- (Non-P) Anti-propositionalism: pictures do not have context-independent, conventionally encoded propositional content (propositional function). -/- (C) Only those representations can be used to convey conversational implicatures which have associated with them a context-independent, conventionally encoded propositional content (function). -/- (I) Pictures can be used to convey conversational implicatures. -/- There are three ways of responding to the problem: (...) affirm (Non-P) and (C) while denying (I); affirm (C) and (I) while denying (Non-P); or affirm (Non-P) and (I) while denying (C). (shrink)

Quantity is the first category that Aristotle lists after substance. It has extraordinary epistemological clarity: "2+2=4" is the model of a self-evident and universally known truth. Continuous quantities such as the ratio of circumference to diameter of a circle are as clearly known as discrete ones. The theory that mathematics was "the science of quantity" was once the leading philosophy of mathematics. The article looks at puzzles in the classification and epistemology of quantity.

Two strong contenders for scalar implicature (SI) computation are the pragmatic and the grammatical theories. While the former sustains that context plays a major role, the latter suggests context is required but is lexically and monotonically constrained (Chierchia 2012). In particular, this paper discusses a processing account for SIs that is dependent on the satisfaction of the Strawsonian presupposition of existence, necessary for the realization of the asymmetric entailment pattern among relevant alternatives. This observation complies with the principles of (...) the grammatical view, for it predicts SIs in the presence of contextually empty domains, unlike the pragmatic account whose necessary access to contextual information will cause propositions with empty domains to always return a truth value false, hence blocking any inference. I present online experimental evidence of an acceptability judgment task and recorded response times of both existential and universal sentences containing entities of three kinds: existent (type-a), non-existent but conceivable (type-b), and non-existent and inconceivable (type-c). The data of 25 Colombian Spanish speaking participants were collected using PsychoPy, powered by Pavlovia. The results suggest SIs are computed in types a and b but relatively unsuccessful in type-c. I conclude that the relevant entailment pattern for implicature computation is the Strawson-entailment relation which, combined with the grammatical account, correctly predicts SIs with non-existent but conceivable entities but avoids inference with inconceivable terms. (shrink)

Negli ultimi quindici anni la letteratura filosofico-linguistica ha registrato un rinnovato interesse per i meccanismi di implicatura, specialmente del tipo scalare. In buona parte, l’interesse stato suscitato dall’emergere di una prospettiva grammaticale, secondo la quale i fenomeni di implicatura scalare sarebbero conseguenza di un meccanismo interpretativo incassato nella logica delle lingue naturali, e quindi riferibile al componente semantico dell’architettura cognitiva umana. L’obiettivo di questo testo fornire una presentazione di alcuni tra gli argomenti che hanno motivato l’emergere della prospettiva grammaticale. Inizieremo, (...) con una descrizione del fenomeno di implicatura scalare, sostanzialmente condivisa dai fautori delle diverse prospettive. Quindi, approfondiremo la nostra comprensione del fenomeno, pre- sentando alcuni punti fermi della prospettiva pragmaticista, e mostrandone i punti di debolezza individuati dai fautori della prospettiva grammaticale. Infine, presenteremo la prospettiva grammaticale, presentando da una parte i vantaggi che questo approccio presenta rispetto alla prospettiva pragmaticista, e dall’altra discutendo le sfide che attendono questa nuova prospettiva. (shrink)

This paper advances the following criticisms against the received view of implicatures: (1) implicatures are relations of pragmatic implication and not attempts to convey particular speaker meanings; (2) conversational implicatures are non-cancellable; (3) generalised conversational implicatures and conventional implicatures are necessary to preserve the cooperative assumption employing a conversational maxim of conveyability; (4) implicatures should be divided into utterance implicatures and assumption implicatures, not speaker implicatures and sentence implicatures; (5) trivial implicatures are genuine implicatures; (6) Grice’s theory of conversation cannot (...) explain most of his examples of particularised conversational implicatures; (7) the apparent attempts of explicit cancellation of implicatures are apologies, not attempts to avoid misunderstandings. (shrink)

Moral assertions express attitudes, but it is unclear how. This paper examines proposals by David Copp, Stephen Barker, and myself that moral attitudes are expressed as implicature (Grice), and Copp's and Barker's claim that this supports expressivism about moral speech acts. I reject this claim on the ground that implicatures of attitude are more plausibly conversational than conventional. I argue that Copp's and my own relational theory of moral assertions is superior to the indexical theory offered by Barker and (...) Jamie Dreier, and that since the relational theory supports conversational implicatures of attitude, expressive conventions would be redundant. Furthermore, moral expressions of attitude behave like conversational and not conventional implicatures, and there are reasons for doubting that conventions of the suggested kind could exist. (shrink)

The paper interprets the concept “operator in the separable complex Hilbert space” (particalry, “Hermitian operator” as “quantity” is defined in the “classical” quantum mechanics) by that of “quantum information”. As far as wave function is the characteristic function of the probability (density) distribution for all possible values of a certain quantity to be measured, the definition of quantity in quantum mechanics means any unitary change of the probability (density) distribution. It can be represented as a particular case (...) of “unitary” qubits. The converse interpretation of any qubits as referring to a certain physical quantity implies its generalization to non-Hermitian operators, thus neither unitary, nor conserving energy. Their physical sense, speaking loosely, consists in exchanging temporal moments therefore being implemented out of the space-time “screen”. “Dark matter” and “dark energy” can be explained by the same generalization of “quantity” to non-Hermitian operators only secondarily projected on the pseudo-Riemannian space-time “screen” of general relativity according to Einstein's “Mach’s principle” and his field equation. (shrink)

This paper shows how reasoning from best explanation combines with linguistic and factual presumptions during the process of retrieving a speaker’s intention. It is shown how differences between presumptions need to be used to pick the best explanation of a pragmatic manifestation of a dialogical intention. It is shown why we cannot simply jump to an interpretative conclusion based on what we presume to be the most common purpose of a speech act, and why, in cases of indirect speech acts, (...) we need to depend on an abductive process of interpretation. (shrink)

It is widely held that there is a distinctive norm of assertion. A plausible idea is that there is an analogous, perhaps weaker, norm for indirect communication via implicatures. I argue against this type of proposal. My claim is that the norm of assertion is a social norm governing public updates to the conversational record. Off the record implicatures are not subject to social norms of this type. I grant that, as happens in general with intentional actions, off the record (...) communicative acts may be subject to normative assessments on different levels (for instance, regarding their moral or prudential appropriateness). However, such assessments do not generate distinctive norms that apply to all cases of implicature. (shrink)

Quantities like mass and temperature are properties that come in degrees. And those degrees (e.g. 5 kg) are properties that are called the magnitudes of the quantities. Some philosophers (e.g., Byrne 2003; Byrne & Hilbert 2003; Schroer 2010) talk about magnitudes of phenomenal qualities as if some of our phenomenal qualities are quantities. The goal of this essay is to explore the anti-physicalist implication of this apparently innocent way of conceptualizing phenomenal quantities. I will first argue for a metaphysical thesis (...) about the nature of magnitudes based on Yablo’s proportionality requirement of causation. Then, I will show that, if some phenomenal qualities are indeed quantities, there can be no demonstrative concepts about some of our phenomenal feelings. That presents a significant restriction on the way physicalists can account for the epistemic gap between the phenomenal and the physical. I’ll illustrate the restriction by showing how that rules out a popular physicalist response to the Knowledge Argument. (shrink)

This essay explores various problematical aspects of Descartes' conservation principle for the quantity of motion (size times speed), particularly its largely neglected "dual role" as a measure of both durational motion and instantaneous "tendencies towards motion". Overall, an underlying non-local, or "holistic", element of quantity of motion (largely derived from his statics) will be revealed as central to a full understanding of the conservation principle's conceptual development and intended operation; and this insight can be of use in responding (...) to some of the recent and traditional criticisms of Descartes' physics. (shrink)

In this paper we consider conditional random quantities (c.r.q.’s) in the setting of coherence. Based on betting scheme, a c.r.q. X|H is not looked at as a restriction but, in a more extended way, as \({XH + \mathbb{P}(X|H)H^c}\) ; in particular (the indicator of) a conditional event E|H is looked at as EH + P(E|H)H c . This extended notion of c.r.q. allows algebraic developments among c.r.q.’s even if the conditioning events are different; then, for instance, we can give a (...) meaning to the sum X|H + Y|K and we can define the iterated c.r.q. (X|H)|K. We analyze the conjunction of two conditional events, introduced by the authors in a recent work, in the setting of coherence. We show that the conjoined conditional is a conditional random quantity, which may be a conditional event when there are logical dependencies. Moreover, we introduce the negation of the conjunction and by applying De Morgan’s Law we obtain the disjoined conditional. Finally, we give the lower and upper bounds for the conjunction and disjunction of two conditional events, by showing that the usual probabilistic properties continue to hold. (shrink)

This paper questions the adequacy of the explicit cancellability test for conversational implicature as it is commonly understood. The standard way of understanding this test relies on two assumptions: first, that that one can test whether a certain content is conversationally implicated, by checking whether that content is cancellable, and second, that a cancellation is successful only if it results in a felicitous utterance. While I accept the first of these assumptions, I reject the second one. I argue that (...) a cancellation can succeed even if it results in an infelicitous utterance, and that unless we take this possibility into account we run the risk of misdiagnosing philosophically significant cases. (shrink)

Like Bennett's account of ‘even’, my analysis incorporates the following plausible and widespread intuitions. (a) The word ‘even’ does not make a truth-functional difference; it makes a difference only in conventional implicature. In particular, ‘even’ functions neither as a universal quantifier, nor a most or many quantifier. The only quantified statement that ‘Even A is F’ implies is the existential claim ‘There is an x (namely, A) that is F’, but this implication is nothing more than what the Equivalence (...) Thesis already demands. (b) ‘Even’ is epistemic in character, implying some type of unexpectedness, surprise, or unlikelihood. Moreover, despite Kay's arguments to the contrary, this implication is part of the meaning of ‘even’. (c) ‘Even’ is a scalar term, since unexpectedness comes in degrees. And, finally, (d) the felicity of an ‘even’-sentence S requires that S* be sufficiently surprising in comparison to its true neighbors. However,pace Bennett, being more surprising than just one true neighbor will not suffice. At the same time, being more surprising than all true neighbors is unnecessary. Suffice it that S* is more surprising than most true neighbors. (shrink)

I analyze the meaning of mass in Newtonian mechanics. First, I explain the notion of primitive ontology, which was originally introduced in the philosophy of quantum mechanics. Then I examine the two common interpretations of mass: mass as a measure of the quantity of matter and mass as a dynamical property. I claim that the former is ill-defined, and the latter is only plausible with respect to a metaphysical interpretation of laws of nature. I explore the following options for (...) the status of laws: Humeanism, primitivism about laws, dispositionalism, and ontic structural realism. (shrink)

The quantum information introduced by quantum mechanics is equivalent to that generalization of the classical information from finite to infinite series or collections. The quantity of information is the quantity of choices measured in the units of elementary choice. The qubit can be interpreted as that generalization of bit, which is a choice among a continuum of alternatives. The axiom of choice is necessary for quantum information. The coherent state is transformed into a well-ordered series of results in (...) time after measurement. The quantity of quantum information is the ordinal corresponding to the infinity series in question. Number and being (by the meditation of time), the natural and artificial turn out to be not more than different hypostases of a single common essence. This implies some kind of neo-Pythagorean ontology making related mathematics, physics, and technics immediately, by an explicit mathematical structure. (shrink)

In this essay I propose a new measure of social welfare. It captures the intuitive idea that quantity, quality, and equality of individual welfare all matter for social welfare. More precisely, it satisfies six conditions: Equivalence, Dominance, Quality, Strict Monotonicity, Equality and Asymmetry. These state that i) populations equivalent in individual welfare are equal in social welfare; ii) a population that dominates another in individual welfare is better; iii) a population that has a higher average welfare than another population (...) is better, other things being equal; iv) the addition of a well-faring individual makes a population better, whereas the addition of an ill-faring individual makes a population worse; v) a population that has a higher degree of equality than another population is better, other things being equal; and vi) individual illfare matters more for social welfare than individual welfare. By satisfying the six conditions, the measure improves on previously proposed measures, such as the utilitarian Total and Average measures, as well as different kinds of Prioritarian measures. (shrink)

In this paper, I present two crucial problems for Wolff’s metaphysics of quantities: 1) The structural identification problem and 2) the Pythagorean problem. The former is the problem of uniquely defining a general algebraic structure for all quantities; the latter is the problem of distinguishing physical quantitative structure from mathematical quantities. While Wolff seems to have a consistent and elegant solution to the first problem, the second problem may put in jeopardy his metaphysical view on quantities as spaces. After drawing (...) a parallelism between Wolff’s treatment of quantitative structures and Frege’s conception of quantitative domain, I propose a solution to the Pythagorean problem based on the idea that mathematical structures are the result of applying an abstraction principle on physical quantitative structures. In particular, I propose the view that abstraction may be seen as the operation of structure determination which transforms concrete physical quantities (i.e. undetermined structures) into abstract mathematical quantities (fully determined structures of thin and shallow objects). (shrink)

Can hybridism about moral claims be made to work? I argue it can if we accept the conventional implicature approach developed in Barker (Analysis 2000). However, this kind of hybrid expressivism is only acceptable if we can make sense of conventional implicature, the kind of meaning carried by operators like ‘even’, ‘but’, etc. Conventional implictures are a form of pragmatic presupposition, which involves an unsaid mode of delivery of content. I argue that we can make sense of conventional (...) implicatures, but doing so requires we embrace a form of pure, non-hybrid expressivism. This is a cognitivist expressivism I have developed elsewhere. We need cognitivist expressivism to make sense of how we evaluate—judge as correct or incorrect—implicature-bearing sentences. Once we embraced the possibility of this pure expressivism, we might as well be pure expressivists about normative discourse too. I show how we can do that. The motivations for a specifically hybrid theory are dialectically undercut. (shrink)

A simple interpretation of quantity calculus is given. Quantities are described as two-place functions from objects, states or processes (or some combination of them) into numbers that satisfy the mutual measurability property. Quantity calculus is based on a notational simplification of the concept of quantity. A key element of the simplification is that we consider units to be intentionally unspecified numbers that are measures of exactly specified objects, states or processes. This interpretation of quantity calculus combines (...) all the advantages of calculating with numerical values (since the values of quantities are numbers, we can do with them everything we do with numbers) and all the advantages of calculating with standardly conceived quantities (calculus is invariant to the choice of units and has built-in dimensional analysis). This also shows that the standard metaphysics and mathematics of quantities and their magnitudes is not needed for quantity calculus. At the end of the article, arguments are given that the concept of quantity as defined here is a pivotal concept in understanding the quantitative approach to nature. As an application of this interpretation of quantity calculus, an easy proof of dimensional homogeneity of physical laws is given. (shrink)

Resemblances obtain not only between objects but between properties. Resemblances of the latter sort - in particular resemblances between quantitative properties - prove to be the downfall of a well-known theory of universals, namely the one presented by David Armstrong. This paper examines Armstrong's efforts to account for such resemblances within the framework of his theory and also explores several extensions of that theory. All of them fail.

In this book an introduction to the grammatical view of the scalar implicature phenomenon is presented. A detailed overview is offered concerning the embeddability of the exhaustivity operator, and the contextual dependance of the alternatives generation process. The theoretical implications of the grammatical view with respect to the abductive character of the scalar implicature are also discussed. A pragmatic account of the assertive content is proposed in correlation with a blindness-based account of the semantic content carried by scalar (...) sentences, in order to ensure that the information globally conveyed by the latter is sometimes different from the semantic content automatically generated. -/- . (shrink)

Kant's obscure essay entitled An Attempt to Introduce the Concept of Negative Quantities into Philosophy has received virtually no attention in the Kant literature. The essay has been in English translation for over twenty years, though not widely available. In his original 1983 translation, Gordon Treash argues that the Negative Quantities essay should be understood as part of an ongoing response to the philosophy of Christian Wolff. Like Hoffmann and Crusius before him, the Kant of 1763 is at odds with (...) the Leibnizian-Wolffian tradition of deductive metaphysics. He joins his predecessors in rejecting the assumption that the law of contradiction alone can provide proof of the principle of sufficient reason: -/- In his rejection of the possibility of deducing all philosophic truth from the law of contradiction, however, and in the clear recognition that this impossibility has immediate consequences for defense of the law of sufficient reason, Kant's work most definitely and positively constitutes a line of succession from Hoffmann and Crusius (Treash, 1983, p. 25). -/- The recognition that Kant's Negative Quantities essay is part of a response to the tradition of deductive metaphysics is, without a doubt, an important contribution to the Kant literature. However, there is still more to be said about this neglected essay. The full significance of the paper becomes known through its ties to a second, empiricist line of succession. Clues to this second line of succession can be found in Kant's prefatory remarks concerning Euler's 1748 Reflections on Space and Time and Crusius' 1749 Guidance in the Orderly and Careful Consideration of Natural Events. As I will show, these prefatory remarks suggest a reading of Kant's Negative Quantities paper that reaches beyond German deductive metaphysics to engage a debate regarding the application of mathematics in philosophy initiated by George Berkeley. (shrink)

Moderate Pragmatic Invariantism has been criticized in the literature for postulating implicatures that are not straightforwardly cancellable. Defenders of MPI have responded that the data are not as clear-cut as one might wish. This paper grants the defenders of MPI, for the sake of argument, that the implicatures in question are cancellable and then turns this admission against them. In particular, the paper offers Bank Case variants in which the conversational implicatures postulated by MPI are contextually suspended – and thus (...) cancelled. Since our intuitions do not vary between the original Bank Case and these novel types of cases, the explanation offered by MPI must be mistaken. Our varying truth-value intuitions in the Bank Cases cannot be accounted for by means of conversational implicatures. (shrink)

Ted Sider has shown that my indeterminism argument for comparativist theories of quantity also applies to Mundy's absolutist theory. This is because Mundy's theory posits only "pure" relations, i.e. relations between values of the same quantity (between masses and other masses, or distances and other distances). It is straightforward to solve the problem by positing additional mixed relations.

Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess (...) manuscript versions of Newton's initial argument within his initial deduction, dating from early 1685. Newton's strategy depends on distinguishing two quantities of matter, which I call ‘active’ and ‘passive’, by how they are measured. These measurement procedures frame conditions on the additivity of each quantity so measured. While Newton has direct evidence for the additivity of passive quantity of matter, he does not for that of the active quantity. Instead, he tries to infer the latter from the former via conceptual analyses of the third law of motion grounded largely on analogies to magnetic attractions. The conditions needed to establish passive additivity frustrate Newton's attempted inference to active additivity. (shrink)

The knowing subject does not think nature, he is thought of nature and of himself, not of a world which would be other to him but of a world of which he is the meaning. This meaning emerges by separation of his own individuation into participating singularities. Then the question, on the epistemic level, is how the fundamental concepts of mathematics and physics emerge, including the One, the quantified, the continuous, the more and the less etc.. what relationship is there (...) between the (objectified) meaning of these concepts and their real nature in the subject? (shrink)

This article aims to interpret Leibniz’s dynamics project through a theory of the causation of corporeal motion. It presents an interpretation of the dynamics that characterizes physical causation as the structural organization of phenomena. The measure of living force by mv2 must then be understood as an organizational property of motion conceptually distinct from the geometrical or otherwise quantitative magnitudes exchanged in mechanical phenomena. To defend this view, we examine one of the most important theoretical discrepancies of Leibniz’s dynamics with (...) classical mechanics, the measure of vis viva as mv2 rather than ½ mv2. This “error”, resulting from the limits of Leibniz’s methodology, reveals the systematic role of this quantity mv2 in the dynamics. In examining the evolution of the quantity mv2 in the refinement of the force concept from potentia to actio, I argue that Leibniz’s systematic limitations help clarify dynamical causality as neither strictly metaphysical nor mechanical but a distinct level of reality to which Leibniz dedicates the “dynamica” as “nova scientia”. (shrink)

Immanuel Kant promised, ‘as Your Majesty's loyal subject’, to abstain from all public lectures about religion. All past commentators agree this phrase permitted Kant to return to the topic after the King died. But it is not part of the ‘at-issue content’. Consequently, ‘as Your Majesty's loyal subject’ is no more an escape clause than the corresponding phrase in ‘I guarantee, as your devoted fan, that these guitar strings will not break’. Just as the guarantee stands regardless of whether the (...) guarantor ceases to be your devoted fan, the compliance conditions of Kant's promise are not affected by Kant's ceasing to be the king's loyal subject. For good or ill, Kant made a lying promise to King Friedrich Wilhelm II in 1794. (shrink)

The article evaluates the Domain Postulate of the Classical Model of Science and the related Aristotelian prohibition rule on kind-crossing as interpretative tools in the history of the development of mathematics into a general science of quantities. Special reference is made to Proclus’ commentary to Euclid’s first book of Elements , to the sixteenth century translations of Euclid’s work into Latin and to the works of Stevin, Wallis, Viète and Descartes. The prohibition rule on kind-crossing formulated by Aristotle in Posterior (...) analytics is used to distinguish between conceptions that share the same name but are substantively different: for example the search for a broader genus including all mathematical objects; the search for a common character of different species of mathematical objects; and the effort to treat magnitudes as numbers. (shrink)

An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...) are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

Second Scholasticism greatly developed the medieval theory of continuous quantity as the Aristotelian notion for thematizing spatial extension, paving the way for the idea of space as extension in early modern natural philosophy. The article analyzes the section related to the category of continuous quantity in the Coimbra commentary on the Dialectics (1606), showing that it is indebted to the novel theory of Francisco Suárez on quantity as bestowing extension to a body in a particular sense, something (...) which had been overlooked by previous research. The scholarly debate on quantity was brought to China, and here the Chinese translation is examined of the section on quantity in the fourth volume of the Mingli Tan, published in China in 1636-­1639. (shrink)

In this paper a symmetry argument against quantity absolutism is amended. Rather than arguing against the fundamentality of intrinsic quantities on the basis of transformations of basic quantities, a class of symmetries defined by the Π-theorem is used. This theorem is a fundamental result of dimensional analysis and shows that all unit-invariant equations which adequately represent physical systems can be put into the form of a function of dimensionless quantities. Quantity transformations that leave those dimensionless quantities invariant are (...) empirical and dynamical symmetries. The proposed symmetries of the original argument fail to be both dynamical and empirical symmetries and are open to counterexamples. The amendment of the original argument requires consideration of the relationships between quantity dimensions. The discussion raises a pertinent issue: what is the modal status of the constants of nature which figure in the laws? Two positions, constant necessitism and constant contingentism, are introduced and their relationships to absolutism and comparativism undergo preliminary investigation. It is argued that the absolutist can only reject the amended symmetry argument by accepting constant necessitism. I argue that the truth of an epistemically open empirical hypothesis would make the acceptance of constant necessitism costly: together they entail that the facts are nomically necessary. (shrink)

The conventional implicature, arguably, refers to plenty of linguistic aspects with respect to episteme, metaphysics, as well as semantic criticism of language. Accordingly, the conventional implication consists of a sort of specific literal meanings, which slightly differ from the conversational implication. In addition to that, the particular taxonomy of slur words intends to utter a variety of dyslogistic, disparaging expressions in terms of bad or awful contents along with immoral conducts of a word. Hence, it is, apparently, debatable and (...) doubtful that to what extent slur words can convey unethical substance in a way of the conventional implicature? This contrastive article, therefore, attempts to examine credible reasons for clarifying the thesis: the awful essence of pejorative words comes with a conventional implicature. Correspondingly, I have emphasised a few substantial findings such as combinatorial externalism, prohibitionism alongside expressivism. However, notwithstanding this semantic analysis, it is restricted to investigate epistemic and metaphysical affiliations in this regard. (shrink)

Kant's special metaphysics is intended to provide the a priori foundation for Newtonian science, which is to be achieved by exhibiting the a priori content of Newtonian concepts and laws. Kant envisions a two-step mathematical construction of the dynamical concept of matter involving a geometrical construction of matter’s bulk and a symbolic construction of matter’s density. Since Newton himself defines quantity of matter in terms of bulk and density, there is no reason why we shouldn’t interpret Kant’s Dynamics as (...) a defence of a Newtonian concept of matter. When Kant’s reasoning is understood in relation to his criteria for mathematical construction, it is possible to maintain that matter theory is central to the Metaphysical Foundations, but that this does not undermine Kant’s stated aim of giving an a priori foundation for Newtonian science. (shrink)