According to Kant, the division of the categories “is not the result of a search after pure concepts undertaken at haphazard,” but is derived from the “complete” classification of judgments developed by traditional logic. However, the sorts of judgments that he enumerates in his table of judgments are not all ones that traditional logic has dealt with; consequently, we must say that he chose the sorts of judgments in question with a certain intention. Besides, we know that his choice of (...) judgments and categories is strongly influenced by certain views of natural science that he fully accepts. For this reason, his argumentations are sometimes seriously inconsistent. As to Kant’s argumentations of categories, many problems have already been pointed out, but in this paper, I take up the categories of quantity and quality once more, and make clear his argumentations’ hidden logic and its distortion from the point of view of the history of logic and natural science. First, I confirm that there are non-negligible problems in his explanation to the effect that his derivation of the categories of quantity and quality is based on the quantity and quality of judgments. Next, I reconsider the meaning of his treating the categories of quantity and quality as pure concepts of the understanding. Finally, I conclude that by having recourse to the categories of quantity and quality Kant tried unjustly to apriorize the distinction between the “extensive magnitude” and “intensive magnitude” that has a long formational history since Aristotle. (shrink)

0. The ancient and honorable role of philosophy as a servant to the learning, development and use of scientific knowledge, though sadly underdeveloped since Grassmann, has been re-emerging from within the particular science of mathematics due to the latter's internal need; making this relationship more explicit (as well as further investigating the reasons for the decline) will, it is hoped, help to germinate the seeds of a brighter future for philosophy as well as help to guide the much wider learning (...) of mathematics and hence of all the sciences. 1. The unity of interacting opposites "space vs. quantity", with the accompanying "general vs. particular" and the resulting division of variable quantity into the interacting opposites "extensive vs. intensive", is susceptible, with the aid of categories, functors, and natural transformations, of a formulation which is on the one hand precise enough to admit proved theorems and considerable technical development and yet is on the other hand general enough to admit incorporation of almost any specialized hypothesis. Readers armed with the mathematical definitions of basic category theory should be able to translate the discussion in this section into symbols and diagrams for calculations. 2. The role of space as an arena for quantitative "becoming" underlies the qualitative transformation of a spatial category into a homotopy category, on which extensive and intensive quantities reappear as homology and cohomology. 3. The understanding of an object in a spatial category can be approached through definite Moore-Postnikov levels; each of these levels constitutes a mathematically precise "unity and identity of opposites", and their ensemble bears features strongly reminiscent of Hegel's Science of Logic. This resemblance suggests many mathematical and philosophical problems which now seem susceptible of exact solution. (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)

Developing some suggestions of Ramsey (1925), elementary logic is formulated with respect to an arbitrary categorial system rather than the categorial system of Logical Atomism which is retained in standard elementary logic. Among the many types of non-standard categorial systems allowed by this formalism, it is argued that elementary logic with predicates of variable degree occupies a distinguished position, both for formal reasons and because of its potential value for application of formal logic to natural language and natural science. This (...) is illustrated by use of such a logic to construct a theory of quantity which is argued to be scientifically superior to existing theories of quantity based on standard categorial systems, since it yields real-valued scales without the need for unrealistic existence assumptions. This provides empirical evidence for the hypothesis that the categorial structure of the physical world itself is non-standard in this sense. (shrink)

This paper is an essay in what Austin (_Proc Aristotel Soc_ 57: 1–30, 1956–1957) called "linguistic phenomenology". Its focus is on showing how the grammatical features of ordinary causal verbs, as revealed in the kinds of linguistic constructions they can figure in, can shed light on the nature of the processes that these verbs are used to describe. Specifically, drawing on the comprehensive classification of English verbs founds in Levin (_English verb classes and alternations: a preliminary investigation_, University of Chicago (...) Press, Chicago, 1993), I divide the forms of productive causal processes into five classes, corresponding to Aristotle's ontological categories: there are processes that cause change in location, in state, and in quantity; and that lead to the creation and destruction of substances. These broader categories are then subdivided into other ones, corresponding to different Levin classes, according to further differences in the causal processes they involve. I conclude by discussing the relevance of this argument to research in metaphysics and experimental philosophy. (shrink)

How do people stretch their understanding of magnitude from the experiential range to the very large quantities and ranges important in science, geopolitics, and mathematics? This paper empirically evaluates how and whether people make use of numerical categories when estimating relative magnitudes of numbers across many orders of magnitude. We hypothesize that people use scale words—thousand, million, billion—to carve the large number line into categories, stretching linear responses across items within each category. If so, discontinuities in position and response (...) time are expected near the boundaries between categories. In contrast to previous work that suggested only that a minority of college undergraduates employed categorical boundaries, we find that discontinuities near category boundaries occur in most or all participants, but that accurate and inaccurate participants respond in opposite ways to category boundaries. Accurate participants highlight contrasts within a category, whereas inaccurate participants adjust their responses toward category centers. (shrink)

THE notion of quantity is basic and it is no surprise that Aristotle refers to it in many places. There are two main discussions, that in the Categories—a part of the Organon which is of great interest to modern logicians and that spread over the physical treatises. Naturally the two treatments overlap, but modern logic is at a far remove from classical cosmology and it is fairly easy to separate them at their sources. This I have attempted to do (...) by considering quantity as an attribute and as divisible. There follows a brief consideration of the notions arrived at for their relevance to modern mathematics with particular reference to the real number system and the notion of infinity. (shrink)

I defend an interpretation of the first Critique’s category of totality based on Kant’s analysis of totality in the third Critique’s Analytic of the mathematical sublime. I show, firstly, that in the latter Kant delineates the category of totality — however general it may be — in relation to the essentially singular standpoint of the subject. Despite the fact that sublime and categorial totality have a significantly different scope and function, they do share such a singular baseline. Secondly, (...) I argue that Kant’s note (in the first Critique’s metaphysical deduction) that deriving the category of totality requires a special act of the understanding can be seen as a ‘mark’ of that singular baseline. This way, my aesthetical ‘detour’ has the potential of revealing how the subjective aspects of object-constitution might be accounted for in the very system of the categories (of quantity) itself. (shrink)

Sergius of Reshaina’s Syriac exposition of Aristotle’s _Categories_, with its discussion on substance, quantity, quality, relatives and the other categories, but also the teaching on space from the _Physics_, is presented here in a critical edition with an English translation.

This paper deals with Suárez's theory of extension and continuous quantity, as it is discussed in the Metaphysical Disputations and as a possible source for Descartes's concept of res extensa. In a first part of the paper, I analyse Suárez' account of divisibility and extension in a comparison with the Dominicans', Scotus and Fonseca's, and Ockham's. In the light of this analysis, Suárez's most original contribution seems being the claim that material composites have integral parts 'entitatively' extended (partem extra (...) partem) independently from categorial quantity. Such a theory allows Suárez to merge the Dominicans', the Scotists' and the Ockhamists' account, as the integral parts fund the internal but pre-quantitative divisibility of body, which is the source of quantity. In a second part of the paper, I deal with the reception of Suárez’s theory (especially in Rubio, Arriaga, Araujo, Eustachius and Abra de Raçonis), as well as with Descartes’ concept of res extensa. I conclude that Suárez’s account has been mainly criticized by the seventeenth Century Aristotelianism, as well as by Descartes. Despite that, Suárez’s idea of non-quantitatively extended parts had an interesting reception and effect in the debate, and especially in the (dominant) Scotistic context. (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.

Working within the Aristotelian tradition, I argue that relation is not a category but a transcendental property of being. By this I mean that all substances are actualized, and hence defined, relationally: all actuality is interactuality. Interactuality is the locus for the relational categories of substance, action, being-affected, number, and most types of quality. The interactuality of corporeal beings is further conditioned by relations of setting; here we find the relational categories of place (where), quantity in the sense (...) of size, quality in the sense of shape, and time (when). In offering a relational account of substance, I distinguish between external relata (physical environment, objects of sensation and knowledge as external) and internal relata (one’s body, objects of sensation and knowledge as internal. This distinction between external and internal relata is transcended in the case of the Trinity, insofar as the divine persons are both perfectly distinct and perfectly united. (shrink)

I argue that Kant’s threefold synthesis of the fundamental act-types of the apprehension, reproduction, and recognition of a manifold of sense-impressions, as presented in the A-Deduction (see A97-110), holds the key to understanding the origin of the categories, or concepts of an object in general, as treated in their Metaphysical Deduction. To that end, I reconstruct Kant’s analysis of a synthesis of empirical intuition (I.), in order to then, on that basis, reconstruct Kant’s concept-formation of the categories (II.). As it (...) turns out, the threefold synthesis as exercised regarding a manifold of sense-impressions in an empirical intuition of an object can indeed account for the representational contents of the categories of quality (apprehension), quantity (reproduction), relation (recognition), and modality (relating to the object through a manifold of sense-impressions). It is in this sense that the categories are “concepts of synthesis” (A80/B106) or, more precisely, “concepts of the synthesis of possible sensations” (A723/B751). (shrink)

Arguably one of the most fundamental phase shifts that occurred in the intellectual history of Western culture involved the ontological reduction of secondary qualities to primary qualities. To say the least, this reduction worked to undermine the foundations undergirding Aristotelian thought in support of a scientific view of the world based strictly on an examination of the real—primary— qualities of things. In this essay, I identify the so-called “Causal Argument” for a reductive view of secondary qualities and seek to deflect (...) this challenge by deriving some plausible consequences that support a non-reductive view of secondary qualities from an Aristotelian view (via the philosophical commentary of Thomas Aquinas). Specifically, my argument has two facets. First, I show that Aristotle’s view both implies recognition of the extramental existence of secondary qualities and is a prima facia natural view to take regarding the ontology of secondary qualities. Second, I show that the Causal Argument, which is thought to undermine a natural view of secondary qualities as real things, loses its bite when one examines perception in light the ontological relationship among the categories of quality, quantity and substance. (shrink)

The subject of this paper is the issue of human speech in Aristotle, especially in his work Categories. Its primary goal is to elaborate an interpretation of Aristotle’s statements about human speech as a quantity (Cat. 4b20–b39, 5a15–b2) that would allow them to fit reasonably into the whole of Aristotle’s theory of language. The structure of the paper is as follows. In the first part a certain approach to the question of the reconstruction of Aristotle’s theory of language is (...) proposed. The second part, by means of the introduction of the criteria of separability and ontological priority of the first substance, creates a framework for the subsequent analysis of the two basic classifications, which constitute the main theme of Categories. The third part supplies its own interpretation of the ontological status of human speech in the context of the classification schemes in Categories, and this, in the fourth part, is inserted into the greater whole of Aristotle’s theory of language. (shrink)

Whence the categories? -- The body problem in Aristotle -- Form -- Prime matter -- Quality -- Quantity -- Substance.

Quantities are properties and relations which exhibit "quantitative structure". For physical quantities, this structure can impact the non-quantitative world in different ways. In this paper I introduce and motivate a novel distinction between quantities based on the way their quantitative structure constrains the possible mereological structure of their instances. Specifically, I identify a category of “properly extensive” quantities, which are a proper sub-class of the additive or extensive quantities. I present and motivate this distinction using two case studies of (...) successful physical measurements.. I argue that the best explanation for the success of the length measurement requires us to adopt a notion of proper extensiveness, which is distinct from mere additivity, which is exhibited by inertial mass. I further discuss the consequences of this distinction, sketching an application of proper extensiveness for the project of producing a non-mathematical and non-metrical reductive metaphysics of quantity. (shrink)

"Simplicius' commentary is the most comprehensive account of the debate on the validity of Aristotle's Categories. Simplicius discusses where the differentia of a species (for instance, the rationality of humans) fits into the scheme of categories. Another is why Aristotle elevates the category of Quantity to second place, above the category of Quality. Further, de Haas shows how Simplicius arrives at multiple definitions of "universal" to solve some of the problems."--BOOK JACKET.

The “lost” Yaḥyā ibn ʿAdī treatises recently discovered in the Tehran codex Marwī 19 include a record of a philosophical debate instigated by the Ḥamdānid prince Sayf-al-Dawla. More precisely, Marwī 19 contains Yaḥyā’s adjudication of a dispute between an unnamed Opponent and Yaḥyā’s younger relative Ibrāhīm ibn ʿAdī (who also served as al-Fārābī’s assistant), along with Ibrāhīm's response to Yaḥyā’s adjudication, and Yaḥyā’s final word. At issue was a problem of Aristotelian exegesis: should “body” be understood as falling under the (...) category of substance or under the category of quantity? The unnamed Opponent argues that body is a species of substance; Ibrāhīm argues that technically speaking, body is a species of quantity, and hence an accident; and Yaḥyā judges that body is a species of substance, though for very different reasons than the Opponent gives. For the first time, the Arabic text of this exchange is edited and translated into English. Also provided is an Introduction that sets the debate in historical context, and discusses in particular the possible influence of John Philoponus. The debate is interesting and important not only because of the philosophical ramifications of the issues under discussion, but because it constitutes evidence of dialectical practice among Arabic-speaking philosophers from the middle of the 10th century. (shrink)

Vague References to Quantities as a Face-Saving Strategy in Teacher-Student Interaction The main focus of the present paper is to show how vague language categories can function as a face-saving strategy. The observations made in this article are based on the analysis of one category of vague language, that is, quantifiers in British and American spoken academic discourse. The data used for the present investigation have been obtained from two corpora: the sub-corpus of educational events of the British National (...) Corpus and the Michigan Corpus of Academic Spoken Discourse. The results suggest that quantifiers as a face-saving strategy are used when self-criticism or criticism towards others is expressed. They are often employed in apologies, promises, self-justifications, when giving advice and in cases of uncertainty. Both students and teachers use quantifiers in these situations, but in teachers' speech they are of special importance, since teachers, if they want to maintain their authority, are especially conscious of their positive face. Paucal quantifiers especially frequently function as a face-saving device since they have a mitigating effect. The use of quantifiers as mitigators is especially evident in those instances where they occur in negative contexts. Such instances demonstrate that the main difference between the two varieties under investigation is that in BE quantifiers significantly more frequently function as mitigators. Finally, it has been observed that quantifiers frequently occur alongside other means of self-distancing and face-saving in both varieties. (shrink)

This slim volume contains a collection of eight essays that were originally given as lectures in 2002 under the aegis of the Society for Medieval Logic and Metaphysics. It is the second in a series of nine volumes published thus far, on subjects such as mental representation, free will, the ontology of individuation, the conceivability of God, skepticism, and nominalism. The title of the present volume is slightly misleading. Only the first two contributions are devoted to medieval treatments of the (...) ten Aristotelian categories (substance, quantity, relation, quality, etc.). The remaining six are about “what is beyond.” One might assume this is intended to refer to God or to the transcendentals, i.e. being, one .. (shrink)

Explicit concepts and sufficiently precise definitions are the basis for further advance of a science beyond a given level. To move toward a situation where the whole population has access to the authentic results of science (italics mine) requires making explicit some general philosophical principles which can help to guide the learning, development, and use of mathematics, a science which clearly plays a pivotal role regarding the learning, development and use of all the sciences. Such philosophical principles have not come (...) from speculation but from studying and concentrating the development of actual mathematical subjects such as algebraic geometry, functional analysis, continuum mechanics, combinatorics, etc. The simplifications in the conceptual relations revealed by such philosophical/mathematical advances are of great value, not only in: (1) clarifying and guiding further research in the mathematical sciences, but also in (2) reforming pedagogy and popularization in ways that will not prove deceptive. (shrink)

This article puts forth the first Polish translation of fragments of Minglitan, „Investigation into the Meaning of Names”, that is Chinese translation and commentary of Aristotle’s Categories prepared by Chinese scholar, Li Zhizao and Portuguese Jesuit, Francisco Furtado, and published in 1631. Five pieces have been select for the translation: Li Tianjing’s preface to Minglitan; a groundbreaking essay on sources of philosophy, containing the very first Chinese transliteration of the term φιλοσοφία; chapter on the category of substance; of (...) class='Hi'>quantity; and chapter on opposites. The translation has been furnished with footnotes elaborating on Chinese terms employed in the Minglitan, and has been preceded by an introduction that delineates historical context of Minglitan, its content and structure, along with a brief sketch of its main linguistic determinants. (shrink)

THE TITLE OF THIS PAPER calls for clarification. Not only are there several senses in which something may be said to "be," there are also many nuances to the terms "categorial" and "intuition." Taking Aristotle as a guide, let us focus upon the primary sense of "being," that is, substance considered both as first substance and second substance. We may then take "categorial" as referring to what Aristotle calls the "figures of predication," the ways in which predicates characterize subjects, indicating (...) "what" the subject is, its quality, quantity, relation, its "where," its "when," and so forth. The term "intuition" expresses something too primitive to be defined, but Edmund Husserl's metaphorical contrast between the "emptiness" of thought and speech and the "fullness" of intuition successfully highlights its essential characteristic. A couple of examples should suffice to grasp the import of Husserl's distinction. Consider the difference, for instance, between first entertaining vague plans of visiting a foreign city and then experiencing the fulfillment of actually strolling through its streets, or the difference between first reading a manual of instructions for performing some task and then actually executing the task skillfully. Taking Husserl as a guide, let us therefore characterize intuition broadly as the presentation of something in its fullness, as opposed to thinking or talking about it in an empty way. Finally, combining Husserlian and Aristotelian terminologies, we may describe categorial intuition as the presentation of figures of predication. Rather than presenting some particular thing, say a red chair, categorial intuition presents the chair's being red, the red quality's belonging to the chair. In short, categorial intuition makes present the modes of presentation of things. (shrink)

"Alexander's commentary on Book 1 concerns the definition of Aristotelian syllogistic argument; its resistance to the rival Stoic theory of inference; and the character of inductive inference and of rhetorical argument. Alexander distinguishes inseparable accidents, such as the whiteness of snow, from defining differentiae, such as its being frozen, and considers how these differences fit into the schemes of categories. He speaks of dialectic as a stochastic discipline in which success is to be judged not by victory but by skill (...) in argument. Alexander also investigates the subject of ambiguity, which had been richly developed since Aristotle by the rival Stoic school."--BOOK JACKET. (shrink)

The distinction between primary and secondary properties establishes the absolute priority, both ontological and epistemological, of quantity over quality. In between the two properties, primary and secondary, are the dispositional properties, for example fragility, malleability, rigidity, and so on. But, from an ontological point of view, what are dispositional properties? This contribution takes into consideration two possible answers to this question: the one according to which the dispositional properties are invariant in variation and another according to which they are (...) powers. The second answer is in turn subject to two different interpretations. We can consider dispositions, or powers, as integrally reducible to behavioral events, or physical. However, we can consider powers as ontologically autonomous and not-grounded. This contribution aims to investigate the latter solution, with particular reference to the apparently oxymoronic notion of physical intentionality. This notion will provide a new, dynamic, and evolutionary version of the concept of disposition and at the same time offer a new look at the distinction between primary and secondary properties. (shrink)

The social sciences playa variety of multifaceted roles in the policymaking process. So varied are these roles, indeed, that it is futile to talk in the singular about the use of social science in policymaking, as if there were one constant relationship between two fixed and stable entities. Instead, to address this issue sensibly one must talk in the plural about uses of dif ferent modes of social scientific inquiry for different kinds of policies under various circumstances. In some cases, (...) the influence of social scientific research is direct and tangible, and the connection between the find ings and the policy is easy to see. In other cases, perhaps most, its influence is indirect-one small piece in a larger mosaic of politics, bargaining, and compromise. Occasionally the findings of social scientific studies are explicitly drawn upon by policymakers in the formation, implementation, or evaluation of particular policies. More often, the categories and theoretical models of social science provide a general background orientation within which policymakers concep tualize problems and frame policy options. At times, the in fluence of social scientific work is cognitive and informational in nature; in other instances, policymakers use social science primarily for symbolic and political purposes in order to le gitimate preestablished goals and strategies. Nonetheless, amid this diversity and variety, troubling general questions persistently arise. (shrink)

In both editions of the Critique of Pure Reason, and in the Prolegomena, the table of the logical functions of the understanding in judgments lists under “quantity of judgments”: universal, particular, and singular; and the table of categories lists under “categories of quantity”: unity, plurality, and totality. As Kant regarded the forms of judgments as giving “the clue” to the derivation of categories and held that the two lists are “in complete agreement”, one would conclude from the tables (...) that the category of unity is derived from the universal form of judgment and the category of totality from the singular form. But this view of the derivations seems wrong. As a universal judgment pertains to all objects of a given sort and a singular judgment pertains to but one object, one would expect unity to be derived from the singular and totality from the universal form of judgment. That this second view of the derivations is what Kant really intended seems confirmed by the fact that at several places in his writings, including a passage in the Critique and one in the Prolegomena, when he is speaking of quantitative determinations, he explicitly associates the singular judgment with unity. But if this second view is what he intended, one wonders why he failed to correct the order in the tables in the Prolegomena and in the second edition of the Critique. Is this failure merely, as Jonathan Bennett has suggested, “a slip”? (shrink)

What is the function of logic in al-Kindī's corpus? What kind of relation does it have with mathematics? This article tackles these questions by examining al-Kindī's theory of categories as it was presented in his epistle On the Number of Aristotle's Books, from which we can learn about his special attitude towards Aristotle theory of categories and his interpretation, as well. Al-Kindī treats the Categories as a logical book, but in a manner different from that of the classical Aristotelian tradition. (...) He ascribes a special status to the categories Quantity and Quality, whereas the rest of the categories are thought to be no more than different combinations of these two categories with the category Substance. The discussion will pay special attention to the function of the categories of Quantity and Quality as mediators between logic and mathematics. (shrink)

The modern slavery literature engages with history in an extremely limited fashion. Our paper demonstrates to the utility of historical research to modern slavery researchers by explaining the rise and fall of the ethics-driven market category of “free-grown sugar” in nineteenth-century Britain. In the first decades of the century, the market category of “free-grown sugar” enabled consumers who were opposed to slavery to pay a premium for a more ethical product. After circa 1840, this market category disappeared, (...) even though considerable quantities of slave-grown sugar continued to arrive into the UK. We explain the disappearance of the market category. Our paper contributes to the on-going debates about slavery in management by historicizing and thus problematizing the concept of “slavery”. The paper challenges those modern slavery scholars who argue that lack of consumer knowledge about product provenance is the main barrier to the elimination of slavery from today’s international supply chains. The historical research presented in this paper suggests that consumer indifference, rather than simply ignorance, may be the more fundamental problem. The paper challenges the optimistic historical metanarrative that pervades much of the research on ethical consumption. It highlights the fragility of ethics-driven market categories, offering lessons for researchers and practitioners seeking to tackle modern slavery. (shrink)

: Usually, when studying schematism we devote almost exclusive attention to the study of the modifications that the categories suffer when combined with time. Instead, we have focused our attention on the determinations that time receives when combined with the categories. Departing from the definition of the transcendental schemata as “determinations of time”, an attempt is made to establish the various determinations that time receives from each one of the categories, as these perform the determination of time in schematism. The (...) categories of quantity allow us to think of time as a series of homogeneous unities; the categories of quality show each instant of time as a receptacle able to receive the different intensities of the real; the categories of relation establish a rule-dependent order on the flow of time; finally, the categories of modality determine the whole of time forming a collective unity that gathers or embraces each one of the instants of time preserving its specificity. (shrink)

In his reexamination of the relationship between quality and quantity, Professor Plochmann has avoided the method of linguistic analysis in favor of a more traditional method of philosophizing. Since I agree with him that in general quality and quantity are irreducible one to the other, but may both be reducible to some category more fundamental than either, my comments are to be considered supplementary to his. In particular, I should like to see what clarifications, if any, arise (...) if one considers qualities and quantities from the purely linguistic point of view. (shrink)

This work is the first English translation of Scotus's commentary on Aristotle's Quaestiones super Praedicamenta. Although there are numerous Latin commentaries on Aristotle's Categories, Scotus's Questions is one of the few commentaries on the Categories written in the thirteenth century covering all of Aristotle's text, including the often neglected post-praedicamenta, and the only complete Latin commentary available in English. Moreover, unlike many of the commentaries, Scotus's text is one of the last commentaries to be written before the nominalist reduction of (...) the categories to substance and quality. The question format allows Scotus a great deal of liberty to discuss the categories in detail, as well as matters that are only remotely raised by the text. Altogether, the forty-four questions cover the following subjects: questions 1-4 are prolegomena to the work itself and raise the question of its subject matter as well as whether there can be a science of the categories; questions 5-8 deal with equivocals, univocals, and denominatives; questions 9-11 discuss Aristotle's two rules regarding predication and the sufficiency of the categories; questions 12-36 discuss the four main categories treated by Aristotle, namely, substance, quantity, relation, and quality; and the remaining eight questions discuss the post-praedicamenta. (shrink)

In the article, different methods of presentation of quantitative information in the news media texts in their dependence on the author’s pragmatic preferences are considered. The object of the study is the Russian version of news reports from the websites of Ukrainian news agencies. Among the logical methods, the use of which is aimed at the realization of the informative function of the media, the following ones are to be mentioned: alternative ways of presenting the same quantity; providing data (...) against the background of the general situation for the fair presentation of scale of the problem; the use of multiple numeric symbols to ‘compress‘ information presentation. Among the rhetorical methods that influence the recipient the following ones have been analyzed: the use of units of different orders for representing the same amount; rounding of quantitative information in the headlines; comparison of facts; providing data without representing the overall situation; placing of pragmatically conditioned numbers in the headlines; creating of the number image. Applying logical methods of using of quantitatives to demonstration of new facts of reality can be considered as one of the methods of influence through informing in the news discourse. In rhetorical use of quantitative information, the presence of the author’s assessment in a media text affects the representation of numerical information. It has been concluded that the quantitatives are used in the news media texts not only as the source of information, but also as a source of influence on the recipient. (shrink)

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

This essay evaluates Hegel's claim that the phenomenon of time exhibits a quantitative logic in the context of a paradox concerning temporal presence. On the one hand, in time, the present always is. It seems that the very nature of time, assuming that it is really passing, requires us to assent to the continuous being of the present. If time is always passing, there must always be a present when the passing actually occurs and thus when beings actually exist. On (...) the other hand, any particular moment of presence, as a point or an interval, immediately ceases to be or has not yet come to be. And, because of this, no delineated moment can be purely self-present. Conceived as an unextended point, presence would be nothing enduring of its own against time's passing, while, conceived as an interval, presence contains before and after within itself, meaning as an interval that is not actually present at once. The paradox is therefore that time's passing demands we think being present and presence as being, while being present, strictly speaking, seems impossible due precisely to that passing. Hegel claims to reconcile the self-same form of presence, a presence that always is, with continuous change under the category of quantity. However, I argue that the non-identity between the logical category and the phenomenon of time renders this reconciliation ineffective against the paradox, breaking down, more specifically, as it concerns the formation of a temporal magnitude. I evaluate alternative Hegelian interpretations for determining whether the irresolvability of the paradox proves problematic after all, arguing that the paradox in fact presents a significant problem for the conceivability of temporal existence. (shrink)