This paper discusses the reports in Diogenes Laertius and in Sextus Empiricus concerning the classification of propositions. It is argued that the material in Sextus uses a source going back to the Dialectical school whose most prominent members were Diodorus Cronus and Philo of Megara. The material preserved in Diogenes Laertius, on the other hand, goes back to Chrysippus.

This paper contends that Stoic logic (i.e. Stoic analysis) deserves more attention from contemporary logicians. It sets out how, compared with contemporary propositional calculi, Stoic analysis is closest to methods of backward proof search for Gentzen-inspired substructural sequent logics, as they have been developed in logic programming and structural proof theory, and produces its proof search calculus in tree form. It shows how multiple similarities to Gentzen sequent systems combine with intriguing dissimilarities that may enrich contemporary discussion. (...) Much of Stoic logic appears surprisingly modern: a recursively formulated syntax with some truth-functional propositional operators; analogues to cut rules, axiom schemata and Gentzen’s negation-introduction rules; an implicit variable-sharing principle and deliberate rejection of Thinning and avoidance of paradoxes of implication. These latter features mark the system out as a relevance logic, where the absence of duals for its left and right introduction rules puts it in the vicinity of McCall’s connexive logic. Methodologically, the choice of meticulously formulated meta-logical rules in lieu of axiom and inference schemata absorbs some structural rules and results in an economical, precise and elegant system that values decidability over completeness. (shrink)

ABSTRACT: An introduction to Stoic logic. Stoic logic can in many respects be regarded as a fore-runner of modern propositional logic. I discuss: 1. the Stoic notion of sayables or meanings (lekta); the Stoic assertibles (axiomata) and their similarities and differences to modern propositions; the time-dependency of their truth; 2.-3. assertibles with demonstratives and quantified assertibles and their truth-conditions; truth-functionality of negations and conjunctions; non-truth-functionality of disjunctions and conditionals; language regimentation and ‘bracketing’ devices; Stoic (...) basic principles of propositional logic; 4. Stoic modal logic; 5. Stoic theory of arguments: two premisses requirement; validity and soundness; 6. Stoic syllogistic or theory of formally valid arguments: a reconstruction of the Stoic deductive system, which consisted of accounts of five types of indemonstrable syllogisms, which function as nullary argumental rules that identify indemonstrables or axioms of the system, and four deductive rules (themata) by which certain complex arguments can be reduced to indemonstrables and thus shown to be formally valid themselves; 7. arguments that were considered as non-syllogistically valid (subsyllogistic and unmethodically concluding arguments). Their validity was explained by recourse to formally valid arguments. (shrink)

We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. (...) We consider and reinterpret some ancient texts that have been neglected in the context of Stoic universal and existential propositions and offer new explanations of some puzzling features in Stoic logic. Our results confirm that Stoic logic surpasses Aristotle’s with regard to multiple generality, and are a reminder that focusing on multiple generality through the lens of Frege-inspired variable-binding quantifier theory may hamper our understanding and appreciation of pre-Fregean theories of multiple generality. (shrink)

This paper seeks to elucidate the distinctive nature of the rational impression on its own terms, asking precisely what it means for the Stoics to define logikē phantasia as an impression whose content is expressible in language. I argue first that impression, generically, is direct and reflexive awareness of the world, the way animals get information about their surroundings. Then, that the rational impression, specifically, is inherently conceptual, inferential, and linguistic, i.e. thick with propositional content, the way humans receive incoming (...) information from the world. When we suspend certain contemporary assumptions about propositional content, the textual evidence can be taken at face value to reveal why, for the Stoics, rational impressions are called thoughts (noēseis) and how the Stoics’ novel semantic entities called lekta (roughly, the meanings of our words) depend on rational impressions for their subsistence. (shrink)

ABSTRACT: In this paper I argue (i) that the hypothetical arguments about which the Stoic Chrysippus wrote numerous books (DL 7.196) are not to be confused with the so-called hypothetical syllogisms" but are the same hypothetical arguments as those mentioned five times in Epictetus (e.g. Diss. 1.25.11-12); and (ii) that these hypothetical arguments are formed by replacing in a non-hypothetical argument one (or more) of the premisses by a Stoic "hypothesis" or supposition. Such "hypotheses" or suppositions differ from (...) propositions in that they have a specific logical form and no truth-value. The reason for the introduction of a distinct class of hypothetical arguments can be found in the context of dialectical argumentation. The paper concludes with the discussion of some evidence for the use of Stoic hypothetical arguments in ancient texts. (shrink)

ABSTRACT: This paper traces the evidence in Galen's Introduction to Logic (Institutio Logica) for a hypothetical syllogistic which predates Stoic propositional logic. It emerges that Galen is one of our main witnesses for such a theory, whose authors are most likely Theophrastus and Eudemus. A reconstruction of this theory is offered which - among other things - allows to solve some apparent textual difficulties in the Institutio Logica.

ABSTRACT: A detailed presentation of Stoic logic, part one, including their theories of propositions (or assertibles, Greek: axiomata), demonstratives, temporal truth, simple propositions, non-simple propositions(conjunction, disjunction, conditional), quantified propositions, logical truths, modal logic, and general theory of arguments (including definition, validity, soundness, classification of invalid arguments).

ABSTRACT: This paper discusses the Stoic treatment of fallacies that are based on lexical ambiguities. It provides a detailed analysis of the relevant passages, lays bare textual and interpretative difficulties, explores what the Stoic view on the matter implies for their theory of language, and compares their view with Aristotle’s. In the paper I aim to show that, for the Stoics, fallacies of ambiguity are complexes of propositions and sentences and thus straddle the realms of meaning (which (...) is the domain of logic) and of linguistic expressions (which is the domain of linguistics), but also involve a pragmatic element; that the Stoics believe that the premises of the fallacies, when uttered, have only one meaning and are true, and thus should be conceded; that hence there is no need for a mental process of disambiguation in the listeners; that Aristotle, by contrast, appears to assume that the premises always have all their meanings, and accordingly recommends that the listeners explicitly disambiguate them, which presupposes a process of mental disambiguation. I proffer two readings of the Stoic advice that we ‘be silent’ when confronted with a fallacy of ambiguity in dialectical discourse, and explicate how each leads to an overall consistent interpretation of the textual evidence. Finally, I demonstrate that the method advocated by the Stoics works in all cases of fallacies of lexical ambiguity. (shrink)

In this extended essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed (...) evidence that there are numerous (over a hundred) and extensive parallels both in formulation and --more importantly-- in content between the Stoics and Frege, parallels so plentiful that one would be hard pressed to brush them off as coincidence. These parallels include several that appear to occur in no other modern works that were published before Frege’s own and were accessible to him. Additionally, a cluster of corroborating historical data is adduced to support the suggestion, showing how easy it would have to been for Frege to plagiarize the Stoics. This (first) part of the essay is easy to read and vaguely entertaining, or so I hope. -/- (Corrigendum: At school, Frege likely had seven, not ten, years of intensive Latin and four years of intensive ancient Greek courses.). (shrink)

This paper examines an ancient debate over the rationality of perception. What leads the Stoics to affirm, and the Epicureans to deny, that to form a sense-impression is an activity of reason? The answer, we argue, lies in a disagreement over what is required for epistemic success. For the Stoics, epistemic success consists in believing the right propositions, and only rational states, in virtue of their predicational structure, put us in touch with propositions. Since they identify some sense-impressions (...) as criteria of truth and thus as the basis for epistemic success, the Stoics maintain that sense-impressions must be rational. The Epicureans agree with the Stoics that sense-impressions function as criteria of truth, and also agree broadly on what it means for a state to be rational, but deny that sense-impressions are rational because (1) they think that epistemic success must be supported by a state that is necessarily error-free and (2) accept that rational states can be false. In reconstructing this debate, we refine the standard interpretation of the fundamental difference between Epicurean and Stoic epistemology and also develop parallels with epistemological debates today. One upshot is a more nuanced appreciation of the merits of Epicurean epistemology vis-à-vis the Stoics. (shrink)

ABSTRACT: Alexander of Aphrodisias’ commentaries on Aristotle’s Organon are valuable sources for both Stoic and early Peripatetic logic, and have often been used as such – in particular for early Peripatetic hypothetical syllogistic and Stoic propositional logic. By contrast, this paper explores the role Alexander himself played in the development and transmission of those theories. There are three areas in particular where he seems to have made a difference: First, he drew a connection between certain passages from Aristotle’s (...) Topics and Prior Analytics and the Stoic indemonstrable arguments, and, based on this connection, appropriated at least four kinds of Stoic indemonstrables as Aristotelian. Second, he developed and made use of a specifically Peripatetic terminology in which to describe and discuss those arguments – which facilitated the integration of the indemonstrables into Peripatetic logic. Third, he made some progress towards a solution to the problem of what place and interpretation the Stoic third indemonstrables should be given in a Peripatetic and Platonist setting. Overall, the picture emerges that Alexander persistently (if not always consistently) presented passages from Aristotle’s logical œuvre in a light that makes it appear as if Aristotle was in the possession of a Peripatetic correlate to the Stoic theory of indemonstrables. (shrink)

The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s (...) Induction-Axiom Schema [23]. Similarly, in first-order set theory, Zermelo’s second-order Separation Axiom is approximated by Fraenkel’s first-order Separation Schema [17]. In some of several closely related senses, a schema is a complex system having multiple components one of which is a template-text or scheme-template, a syntactic string composed of one or more “blanks” and also possibly significant words and/or symbols. In accordance with a side condition the template-text of a schema is used as a “template” to specify a multitude, often infinite, of linguistic expressions such as phrases, sentences, or argument-texts, called instances of the schema. The side condition is a second component. The collection of instances may but need not be regarded as a third component. The instances are almost always considered to come from a previously identified language (whether formal or natural), which is often considered to be another component. This article reviews the often-conflicting uses of the expressions ‘schema’ and ‘scheme’ in the literature of logic. It discusses the different definitions presupposed by those uses. And it examines the ontological and epistemic presuppositions circumvented or mooted by the use of schemata, as well as the ontological and epistemic presuppositions engendered by their use. In short, this paper is an introduction to the history and philosophy of schemata. (shrink)

This book treats ancient logic: the logic that originated in Greece by Aristotle and the Stoics, mainly in the hundred year period beginning about 350 BCE. Ancient logic was never completely ignored by modern logic from its Boolean origin in the middle 1800s: it was prominent in Boole’s writings and it was mentioned by Frege and by Hilbert. Nevertheless, the first century of mathematical logic did not take it seriously enough to study the ancient logic texts. A renaissance in ancient (...) logic studies occurred in the early 1950s with the publication of the landmark Aristotle’s Syllogistic by Jan Łukasiewicz, Oxford UP 1951, 2nd ed. 1957. Despite its title, it treats the logic of the Stoics as well as that of Aristotle. Łukasiewicz was a distinguished mathematical logician. He had created many-valued logic and the parenthesis-free prefix notation known as Polish notation. He co-authored with Alfred Tarski’s an important paper on metatheory of propositional logic and he was one of Tarski’s the three main teachers at the University of Warsaw. Łukasiewicz’s stature was just short of that of the giants: Aristotle, Boole, Frege, Tarski and Gödel. No mathematical logician of his caliber had ever before quoted the actual teachings of ancient logicians. -/- Not only did Łukasiewicz inject fresh hypotheses, new concepts, and imaginative modern perspectives into the field, his enormous prestige and that of the Warsaw School of Logic reflected on the whole field of ancient logic studies. Suddenly, this previously somewhat dormant and obscure field became active and gained in respectability and importance in the eyes of logicians, mathematicians, linguists, analytic philosophers, and historians. Next to Aristotle himself and perhaps the Stoic logician Chrysippus, Łukasiewicz is the most prominent figure in ancient logic studies. A huge literature traces its origins to Łukasiewicz. -/- This Ancient Logic and Its Modern Interpretations, is based on the 1973 Buffalo Symposium on Modernist Interpretations of Ancient Logic, the first conference devoted entirely to critical assessment of the state of ancient logic studies. (shrink)

This Article doDespite obvious differences in the Aristotelian and Stoic theories of responsibility, there is surprisingly a deeper structural similarity between the two. The most obvious difference is that Aristotle is (apparently) a libertarian and the Stoics are determinists. Aristotle holds adults responsible for all our "voluntary" actions, which are defined by two criteria: the "origin" or cause of the action must be "in us" and we must be aware of what we are doing. An "involuntary" action, for which (...) we are not responsible, is one that fails to meet either one of these two criteria. Aristotle is a libertarian insofar as he insists that all voluntary actions are "in our power" to perform or not. As determinists the Stoics cannot admit this sort of freedom, but they still consider the agent to be a vital link in the chain of events, so they redefine what is "in our power" as what comes about "through us." The terminology is different, but I argue that these actions, for which the Stoics hold us responsible, are in fact coextensive with Aristotle's voluntary actions. An "impression" is the first necessary condition for action, and is a sort of visual image of the object stimulating one to act. The right sort of impression activates the agent's "impulse," an internal movement of soul or mind, which is the direct cause of action. But impulse is always accompanied by "assent," which is the mind's affirming the truth of the proposition that we ought to go after the object stimulating our impulse. Thus, since assent is a necessary condition for action, we always act knowing what we are doing. This means that all actions caused by our own impulse and assent are by Aristotle's criteria voluntary, where impulse provides the internal origin of the action and assent provides the awareness of what is being done. I conclude that the Stoic and Aristotelian classes of what one is responsible for are coextensive, their criteria defining responsible actions are nearly identical, and the only substantial difference is that Aristotle claims such actions are in our power to do or not do while the Stoics say that such actions are necessitated (by our internal nature as well as external factors). es not have an abstract. (shrink)

Commentators have not said much regarding Berkeley and Stoicism. Even when they do, they generally limit their remarks to Berkeley’s Siris (1744) where he invokes characteristically Stoic themes about the World Soul, “seminal reasons,” and the animating fire of the universe. The Stoic heritage of other Berkeleian doctrines (e.g., about mind or the semiotic character of nature) is seldom recognized, and when it is, little is made of it in explaining his other doctrines (e.g., immaterialism). None of this (...) is surprising, considering how Stoics are considered arch-materialists and determinists. My aim is to suggest that our understanding of Berkeley’s philosophy is improved significantly by acknowledging its underlying Stoic character. I argue that Berkeley proposes not only a semantic ontology based on assumptions of Stoic logic but also a doctrine in which perceptions or ideas are intelligible precisely because they are always embedded in the propositions of a discourse or language. (shrink)

ABSTRACT: The modal systems of the Stoic logician Chrysippus and the two Hellenistic logicians Philo and Diodorus Cronus have survived in a fragmentary state in several sources. From these it is clear that Chrysippus was acquainted with Philo’s and Diodorus’ modal notions, and also that he developed his own in contrast of Diodorus’ and in some way incorporated Philo’s. The goal of this paper is to reconstruct the three modal systems, including their modal definitions and modal theorems, and to (...) make clear the exact relations between them; moreover, to elucidate the philosophical reasons that may have led Chrysippus to modify his predessors’ modal concept in the way he did. It becomes apparent that Chrysippus skillfully combined Philo’s and Diodorus’ modal notions, with making only a minimal change to Diodorus’ concept of possibility; and that he thus obtained a modal system of modalities (logical and physical) which fit perfectly fit into Stoic philosophy. (shrink)

In this paper I defend the existence of a Dialectical school proper against criticisms brought forward by Klaus Döring and by Jonathan Barnes. Whereas Döring claims that there was no Dialectical school separate from the Megarians, Barnes takes issue with my claim (argued for in “Dialektiker und frühe Stoiker bei Sextus Empiricus”) that most of the reports in Sextus on the dialecticians refer to members of the Dialectical school. Barnes contends that these dialecticians are in fact Stoic logicians. As (...) against Döring, I argue that the passage in Diogenes Laertius II 113 (first drawn attention to by David Sedley) which talks of a the Megarian Stilpo winning over disciples from the Dialecticians is not refuted by Döring’s arguments. It clearly shows that the Dialecticians and the Megarians at the time were taken to be different philosophical sects. As against Barnes I insist on the differences between the report in Ps.-Galen’s Historia 9 and the Sextan report on the theory of sign in AM VIII. These reports offer incompatible definitions of the indicative sign. Moreover, the classification of simple propositions reported by Sextus at AM VIII 96f. cannot be a truncated version of the (Stoic) list to be found in Diogenes Laertius VII 69f. since in Sextus’ report one of the three classes of simple propositions is labelled middle (meson). This is a certain sign that we are dealing with a triad, and hence that this list is meant to be complete. Therefore the classification found in Sextus and attributed to the dialecticians and the one in Diogenes Laertius reporting Stoic material do come from different sources. (shrink)

ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he call any (...) arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor did they describe them as ponendo ponens, etc. The tradition of the four argument forms and the classification of the arguments as hypothetical syllogisms hence need some explaining. In this paper, I offer some explanations by tracing the development of certain elements of Aristotle’s logic via the early Peripatetics to the logic of later antiquity. I consider the questions: How did the four argument forms arise? Why were there four of them? Why were arguments of these forms called ‘hypothetical syllogisms’? On what grounds were they considered valid? I argue that such arguments were neither part of Aristotle’s dialectic, nor simply the result of an adoption of elements of Stoic logic, but the outcome of a long, gradual development that begins with Aristotle’s logic as preserved in his Topics and Prior Analytics; and that, as a result, we have a Peripatetic logic of hypothetical inferences which is a far cry both from Stoic logic and from classical propositional logic, but which sports a number of interesting characteristics, some of which bear a cunning resemblance to some 20th century theories. (shrink)

ABSTRACT: Galen’s Institutio Logica is the only introduction to logic in Greek that has survived from antiquity. In it we find a theory that bears some resemblance to propositional logic. The theory is commonly understood as being essentially Stoic. However, this understanding of the text leaves us with a large number of inconsistencies and oddities. In this paper I offer an comprehensive alternative interpretation of the theory. I suggest that it is Peripatetic at base, and has drawn on (...) class='Hi'>Stoic elements, but adapted them to an overall decidedly non-Stoic conception of logic and language, a conception indebted to Aristotelian logic in many respects. This interpretation makes it possible to reduce the seeming inconsistencies dramatically. The Peripatetic theory on which Galen draws was possibly developed in the first century BCE. Importantly, it differs from Stoic logic in that it shuns the latter’s syntactic approach, and considers certain linguistic assumptions and language conventions as part of the logical theory itself. My reconstruction of the theory results in a logic of propositions which differs wildly both from Stoic logic and from the ‘classical’ propositional logic of the 20th century. Interestingly, though, the theory in Galen shows that the ancients grappled with a number of logico-linguistic problems that over the last two decades have again become a matter of debate among contemporary logicians and linguists. (shrink)

‘Puzzles’, ‘word games’, ‘logical anomalies’, whatever we call them, they perplex us and challenge our familiar patterns of reasoning. One of these puzzles, among many others, originated from the mind of an ancient Megarian logician, Eubulides of Miletus, and endures to the modern day.1 Its name, ‘sorites’, can be traced to the Greek word soros, meaning ‘heap.’ The answer to whether one grain of sand ‘is a heap’ or ‘is not a heap’ seems quite simple: it is not a heap. (...) However, as we add grains to the one, at what future point does the non-heap become a heap? Our decision is fraught with uncertainty. Are the objects or the language we are using to describe them vague? In academic philosophy, the ancient Greek puzzle has gained the status of a paradox, as philosophers apply stoic and modern logic to these propositions considered to have vague predicates. The current debate has developed quite serious and wide-ranging implications, such as whether sorites issues provide adequate grounds for abandoning our standard ontology (or our understanding of what really exists), 2 and (germinating into another discipline) whether vagueness in the language of legal rules can generate disagreement as to whether there are right answers to questions of law. 3 Several unique solutions to the paradox have been proposed, yet all suffer from specific inadequacies that might, upon further reflection, disappear in the event that we endeavour to produce a synthesis. When we say that we are attempting to derive a synthesis, we seek to combine elements of two solutions for the sake of creating a new (and hopefully, though not necessarily, a better) one. The paradox of the sorites, or ‘the heap’, appeals to us because it challenges our assumption that we may categorically describe clear cases and their negations, yet fail to distinguish the borderline ones. I will demonstrate that some combinations of solutions are easy fits while others are extremely weak and awkward as attempts at resolving the paradox. Nonetheless, the process of synthesis produces three noteworthy combinations. (shrink)

PHILOSOPHY OF HUMAN RIGHTS: HUMAN RIGHTS IN LIGHT OF THEIR INTERNATIONAL PROTECTION Summary The book consists of two main parts: in the first, on the basis of an analysis of international law, elements of the contemporary conception of human rights and its positive legal protection are identified; in the second - in light of the first part -a philosophical theory of law based on the tradition leading from Plato, Aristotle, and St. Thomas Aquinas is constructed. The conclusion contains an application (...) of the results of the analysis conducted in the second part. The first part comprises four chapters. The first aims at revealing characteristics of human rights on the basis of an analysis of historical conditioning of the inter-national law of human rights and its development. The historical context displays the practical, vindicative, and critical character of the positive legal protection of human rights. Moreover, the process of change of positive human rights law is distinguished from the process of change of human rights as such. In the second chapter the content of human rights - a topic which is only auxiliary to the conducted analysis - is discussed. Basic typology and catalogues of rights proclaimed in the Universal Declaration of Human Rights and protected in the International Covenants of Human Rights are presented. The review of the content of rights aims at a more precise limitation of the field of research. The examination shows a diversity of rights which poses a serious challenge to the coherence of every philosophical theory of human rights. In the third chapter, central in the first part, international law is analyzed with regard to the characteristics of rights and the foundations of them. The analysis of documents shows a number of solutions referring to the anthropological foundations of rights. The inherent dignity of the human person is the source of all human rights. Each human being is recognized as free, and endowed with both reason and conscience. In the propounded conception of man individuals are not rivals but create a community which is a condition for their development. International law characterizes the rights as universal, inherent, inalienable and inviolable. The reconstructed conception also comprises the following basic elements: on the level of the structure of rights, a recognition of their equality, interdependence, and comprehensiveness; in the grounding of these rights, a recognition of the anthropological foundations of law; in the conception of positive law, a recognition of the secondariness of the positive law of human rights to human rights themselves, and a recognition of human rights and justice as the basis for legal order; in the conception of state, a recognition of the well-being of the individual as the fundamental aim of actions undertaken by political institutions, and recogni¬tion of rights which form an impassable boundary to the power of the state, includ¬ing its legislative actions. The characterization of the international legal paradigm serving for the under¬standing of human rights is supplemented by analyses of the structure of their posi¬tive legal protection. Various meanings of the terms "right" and "freedom" are distinguished. Subjective right, as basic structure of the positive legal protection of human rights, is understood as a complex relation formed by various legal situations of the subject of a right which create a functional whole in respect of the subordi-nation of human person to its good. Subordinating person to a good proper for it, expressed usually in a proclamatory norm, is the central element of particular rights around which further elements aiming at the realization of this good are built. In the second part of the book a philosophical theory is developed which allows for the location of a coherent foundation for the presented characterization of human rights and their positive legal protection. This part consists of two chapters. The first includes a review of some - not entirely satisfactory - means of founding of human rights; the second presents philosophical conceptions of law and man which may form a basis for the constructed theory. The review of arguments contained in the first chapter does not aim at a detailed analysis of various specific ways of argumentation encountered in works on this subject but rather at a concise presentation of the main possible lines of argumentation. These analyses also serve to emphasize the positive solutions which are pro¬posed later and to underscore the explanatory power of the elaborated theory. This theory, retaining accurate intuitions contained in the presented types of argumenta¬tion, helps in avoiding their consequences which are difficult to reconcile with the reconstructed paradigm of human rights. Efforts to base human rights on the norms of international law rightly take into account the necessity of determining the content of the rights and their positive legal protection as a means for the realization of man's good. These attempts, how¬ever, do not properly take into account the inherent character of human rights, which are independent of positive law and provide grounds for applying specific legislative measures and not others. Founding human rights on freedom accurately points at the freedom of an indi¬vidual as a constitutive element of some rights; however, absolutization of freedom leads, to a loss of an important element of the contemporary paradigm of under¬standing human rights. This foundation undermines recognition of the fact that human rights may set limits to both the freedom of others and the freedom of the subject of rights itself. Additionally, attempts at the so-called axiological justification of human rights are discussed. This type of justification has a few variants depending on the as¬sumed conception of value. Subjectivistic conceptions have similar advantages and disadvantages to the conceptions basing human rights on freedom; objectivistic conceptions while providing for the universality of human rights place, the fundamental aim of human rights protection beyond the individual human being - in the idealistically existing world of values; finally, conceptions rooting values and human rights in culture, while accurately noting that human rights are learned through the medium of culture, place the source of human rights beyond a concrete individual - in culture and processes which take place in it - which leads to difficulties in finding a basis for the universality of rights. Furthermore, attempts to ground human rights in specific characteristics of the human being are presented. This type of approach points to an important problem of dependence of the content of rights on what man is. However, recognition of specific characteristics of a human being as an ontic foundation of the existence of rights poses a danger to their universality since one has to accept that it is not enough to be a man to be a subject of rights, but a man possessing specific charac¬teristics. The second chapter aims at outlining solutions worked out by Saint Thomas Aquinas. For a fuller understanding of his propositions selected elements of Plato's and Aristotle's philosophy are presented. It was them who formulated the founda¬tions for reflection on law and justice in the ontological context. A qualification is made that Stoicism is not be analysed in depth. Although Thomas' concept of law was undoubtedly developed under the influence of the Stoic doctrine as well, it is not in this that one should look for the tools to understand the ontic foundations of human rights and law in general since the Stoic moral philosophy and philosophy of law were developed in the context of a theory of being which assumed monistic and pantheistic premises as foundations, leading to the recognition of a total subor¬dination of the human individual to a larger unity of which man is only a part. The analysis of Plato's and Aristotle's texts concentrates on problems of justice. Plato seems to be the first philosopher who reflected on the formula basic in the history of European thought: to render to each his due. It appears that justice as both a characteristic of man and his acts is understood in the perspective of that which is just, that which is a good for another man - the recipient of the act. The basis for determining what is just is the relation of correspondence between some¬one and something. While in the case of Plato this relation is based on something beyond its terms, namely on ideas, in the case of Aristotle the relation occurs on account of the elements of the relation itself. Something is just when it contributes to the develop¬ment of the recipient of an act realizing that which is just. At the same time, the realization of that which is just is a good for the agent. In the analysis of the just two types of relation are revealed: the relation of due-to-recipient occurring on account of the compatibility of that which is due, with the recipient of the act; and - a "superstructure" - a relation of obligation-of-subject occurring on account of the compatibility of the acting subject with the thing which should be done. The basis for being that which is due is formed by various potentialities of development of man - the recipient of agency; the basis of being that which is an obligation is the possibility of development of the subject of action. Aristotle distinguishes various types of freedom and points to the necessity of taking them into account in the discussion of justice. Among other things, as the core of man's freedom, he considers life for its own sake, which can be seen as his expression of the basic indices of the autotelic character of man - which is funda¬mental for later conceptions of dignity. The freedom which is described by him is not, however, inherent and inalienable; being free is conditioned by a factual possi¬bility of undertaking actions, which are not solely means to the realization of aims set by others. Thomas Aquinas takes over the Aristotelian research perspective both in his conception of man and of law. At the same time, however, he significantly enriches it. In anthropology he develops a conception of personal being. Drawing upon his distinction between existence ("that something is") and essence ("what something is"), he sees the basis for being a person in the dignity of personal being which is a certain way of existence of a rational being more perfect than that of non-personal beings. The person is a being which, by virtue of its act of existence, is individual¬ized in a specific way. It is an aim in itself. Expressing it in a negative way, one may say that it does not exist as a means for the realization of the aims of others and, in this sense, that it is free. As distinct from Aristotelian conclusions, being a person is not conditioned by the specific actions of a being. Dignity is inherent, based on that which is the foundation of the factual existence of every rational being. Although freedom requires that a being is rational, dignity still encompasses all being, all its properties and potentialities. Thus an act conforming with dignity has to take into account a whole human being. Among different types of that which is just, ius, the first place, from the point of view of understanding law, falls to "the just thing itself ("ipsa res justa"), which is right in the full meaning of the word. On the one hand, it is that which is due; on the other hand, it determines the way of acting in the utmost degree, since the course of every act is determined in the fullest extent by its aim. The content of ius may be determined both by elements independent of free decisions - ius naturale - and by free decisions taking into account the state of things - ius positivum. Recognition of the objective structure of being as the basis of law does not entail that it is possible or desirable to determine unequivocally "the only right" patterns of conduct. This concept is very well justified within the system proposed by Saint Thomas. Individualization of being is a significant element of the develop¬ment of a person as a person. It is attained by the realization of individual aims which are not unequivocally determined by circumstances and the nature common to all people. By virtue of free choices made in the sphere of that which is not by its nature unjust, the object of action becomes ius. Since in the realization of the person the individualization of human being is central, Aquinas clearly sees the need for the protection of the sphere of "dominion of will". This sphere itself constitutes ius naturale, something which is due to man independently of the acts of will. Therefore "law should forbid nothing which is not unjust" ("nihil debet lege prohiberi quod licite fieri potest", In 3 Sent., dist. 40, q. I, a. 1, 3). Besides the relation of due-to-recipient, ius also includes the relation of obligation-of-subject which is superimposed on the relation of due-to-recipient. As far as the ontic foundations of obligation are concerned, in explaining why man is subordinated to realization of the good of others, Aquinas generally follows Aristotle in accepting that this basis is the subordination to moral good - to actions conforming with the learned truth about reality. Aquinas' systemic solutions allow, however, to reach deeper and understand why moral development is also a development of the whole human being. This was difficult within Aristotle's system, since he was reluc¬tant to decide whether precedence should be given to intellectual or moral develop¬ment. The inclination to realise good of another appears to be a transcendental characteristic of being, based on its very existence. Morality understood as rational and free subordination to realize the good of another is a specifically personal way of the realization of this inclination. Thus just actions contribute to the actualization of being in the aspect of its existence and therefore to the actualization of being as a whole. Thomas' conception of natural law (lex naturalis) as participation in eternal law (lex aeterna), offers possibilities for grasping that which is just as something which is basically accessible cognition, independently of Revelation and independently of faith in God, and at the same time as something based in eternal law, understood as a design of God's wisdom. Eternal law, embracing all particular actions, is not, from the human perspective, accessible cognition directly. It is enacted in the struc-ture of the created being and - in case of human beings - in free choices taking this structure into account. In the concluding remarks, the results obtained earlier are applied directly to the contemporary conception of human rights. Human rights are understood in the first place as "just things" - concrete goods of man; as that which is due because of subordination, based on dignity, to the personal development of man. That which is just is understood as a relational - actual or potential - state of things, which exists by virtue of existing relations. Evaluations referring to that which is right are true when respective relations of due-to-recipient take place; norms of conduct are true when respective relations of obligation-of-subject take place. Examples of the application of the sketched theory outside the field of human rights are also presented. Procedural consequences of the developed theory are shown, such as the discrimination of two types of legislative procedures which differ significantly in the structure of argumentation: the first aims at recognition of that which is just independently of the will of the legislator, and the second, at making individual or collective "projects" of development compatible. Finally the possibilities of applying the theory to the increasingly important problems of the protection of the environment and the "rights" of animals are mentioned. The central issue is a philosophical conception of man and his freedom and a conception of law. It is also indispensable to turn to a general theory of being. The search for a comprehensive theory of human rights requires attention to the Abso¬lute Being - God - as well. This is important for at least two reasons. First, a conception of the Absolute Being is integral to philosophy of the systemic type -of which the present book is a piece. A conception of the Absolute Being is signifi¬cant for understanding all being, including, first of all, man as a personal being. Second, every theory of human rights which does not comprise the problem of the Absolute may be questioned as to whether solutions adopted in it do not lead, in consequence, to eliminating God from the perspective of the understanding of law. It is desirable that a philosophical theory should deal with this problem directly. A theory which eliminates God from the perspective of the understanding of rights will be unacceptable for all those who, for philosophical reasons or relying on faith, consider God as the author of inherent rights. Nevertheless, a theoretical approach to rights from the perspective of the Absolute Being should only be a possible extension of a philosophical approach which bases rights on something which is cognizable independently of the acceptance of the existence of God so that the theory is also acceptable for those who reject the existence of God or suspend their judgment on this subject. The pursued theory should therefore contain, on the one hand, reference to natural, faith-independent foundations of human rights, but on the other hand, point to a possible extension accounting for the Absolute Being. The analyses contained in this chapter have undoubtedly some historical value since they are based on source texts. Nevertheless, the use of these texts and not critical works was dictated, first of all, by a conviction that analyses embrace a given theory in the aspect selected by the interests of the researcher. Therefore to find out what past thinkers say on the subject characterized in the first part it is simpler to reach to the sources than to adopt the existing critical works. The pre¬sented reconstruction of Aquinas' views on philosophy of law incorporates proposi¬tions of supplementing and developing some of the ideas undertaken by him. Obligation to act in this and not an other way arises because human actions are subordinated to the conformity, on the one hand, of aims realized by these actions and, on the one hand, the order of being determining that which is favourable to man or destroys him. The content of the order of being is, on the one hand, determined by the structure of being independent from man's will and, on the other, by free decisions of man. (shrink)

I argue for a new reading of Pyrrhonian beliefs inspired by representationalism (the content view) in recent philosophy of mind. I shall argue that there are two senses of acceptance or “acquiescence in something” (eudokein tini pragmati) rather than two senses of belief (doxa). For this reason, we can maintain along with Sextus that the Pyrrhonian skeptic behaves intentionally and can live his life in society adoxastôs without any proper beliefs whatsoever. However, the skeptical sense of acceptance is not the (...) mere avowal of a feeling or a mere report or register of the way things appear to me. I want to suggest the following reading. Acceptance without belief is an anti-predicative passive and involuntary acceptance of content by means of an indicator function (pathos or phainomenon) in virtue of the past regular connection between the representational content and the indicator function. The pathos (as a present state of mind) or the phainomenon “means” (that is, indicates) passively and involuntarily a content in virtue of its regular connection with this content through time. For example, the Pyrrhonian’s acceptance of the content of the sentence “there is fire” is based on the fact that he here and now perceives smoke and that pathos passively and involuntarily means (represents) the content that there is fire. There is no judgment involved at all: even when the skeptic suspends his judgment (epochê) about whether there is fire, his pathos makes him involuntarily accept that there is fire. That is what Sextus, following the Stoic tradition, calls “commemorative signs” (hupomnêstikon) in opposition to the so-called “indicative signs” (endeiktikon), namely the “internal assertion” of the content as a belief (as a propositional attitude). As I do not believe that any reasonable reading of the skeptical acceptance may be defended only by means of philological analysis and by the research of the huge doxography, my arguments deliberately mix historical evidence with reasons of a systematic nature. In this way, the defense of my alternative reading is abductive, namely as the inference to the best explanation. (shrink)

Essays on Aristotle's Sea-Battle, Lazy Argument, Argument Reaper, Diodorus' Master Argument -/- The book is devoted to the ancient logical theories, reconstruction of their semantic proprieties and possibilities of their interpretation by modern logical tools. The Ancient arguments are frequently misunderstood in modern interpretations since authors usually have tendency to ignore their historical proprieties and theoretical background what usually leads to a quite inappropriate picture of the argument’s original form and mission. Author’s primary intention was to draw attention to the (...) complexity of some historical arguments and to the theoretical context in which arguments were created, circulated, developed, and finally tuned. Four well-known ancient arguments – with a common central subject related to the future contingencies problem – are reconstructed from available historical sources: “The Sea Battle”, which is drawn from Aristotle’s treatise De Interpretatione; two arguments, usually ascribed to the Stoics, “The Lazy Argument” and “The Reaper”; “The Master Argument” of the Megarian philosopher Diodorus. Arguments are linguistically and semantically detaily analyzed, formally presented by reflecting some relevant corresponding hypotheses based on physical or logical theories of their ancient authors, and finally covered by appropriate logical tools familiar to a modern reader. Two appendices are added at the closing part of the book. One covering some assumptions relevant for understanding of rival streams in ancient theories of meaning related to the nature of names and naming; the other is devoted to the ancient understanding of logical proposition and attempts to find an adequate Latin translation of the Greek delicate philosophical term “ἀξίωμα”. (shrink)

The Stoics have often been compared to the earthborn Giants in the Battle of Gods and Giants in Plato’s Sophist, but with diverging opinions about the lessons they drew in reaction to Plato. At issue are questions about what in the Sophist the Stoics were reacting to, how the Stoics are like and unlike the Giants, the status of being for the Stoics, and the extent to which they were Platonizing with their incorporeals. With these open questions in mind, I (...) reexamine the Sophist from the Stoic perspective, finding eight distinct challenges that are likely to have been salient to the Stoics, and offer a new account of the Stoics as responding to these challenges with an innovative ontology that prises apart something from being to make room for what is not, and a sophisticated one-world metaphysics that grounds everything there is in two fundamental bodies. (shrink)

One Stoic response to the skeptical indistinguishability argument is that it fails to account for expertise: the Stoics allow that while two similar objects create indistinguishable appearances in the amateur, this is not true of the expert, whose appearances succeed in discriminating the pair. This paper re-examines the motivations for this Stoic response, and argues that it reveals the Stoic claim that, in generating a kataleptic appearance, the perceiver’s mind is active, insofar as it applies concepts matching (...) the perceptual stimulus. I argue that this claim is reflected in the Stoic definition of the kataleptic appearance, and that it respects their more general account of mental representation. I further suggest that, in attributing some activity to the mind in creating each kataleptic appearance, and in claiming that the expert’s mind allows her to form more kataleptic appearances than the amateur, the Stoics draw inspiration from the wax tablet model in Plato’s Theaetetus (190e–196d), where Socrates distinguishes the wise from the ignorant on the basis of how well they match sensory input with its appropriate mental ‘seal’ (σφραγίς). (shrink)

ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules (...) which establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out. (shrink)

An overview of the ancient philosophers and their philosophical system (divided into the fields of logic, physics, and ethics) comprising the living, organic, enduring, and evolving body of interrelated ideas identifiable as the Stoic perspective.

This paper examines the Stoic account of apprehension (κατάληψις) (a cognitive achievement similar to how we typically view knowledge). Following a seminal article by Michael Frede (1983), it is widely thought that the Stoics maintained a purely externalist causal account of apprehension wherein one may apprehend only if one stands in an appropriate causal relation to the object apprehended. An important but unanswered challenge to this view has been offered by David Sedley (2002) who offers reasons to suppose that (...) the Stoics (or at least Zeno, the founder of the Stoa) did not make such a causal stipulation. I offer a defence of the traditional, causal reading against the challenges raised by Sedley but also argue, against the traditional view, that the Stoic account incorporated an internalist element. On the hybrid account defended here, in order to apprehend not only must the agent stand in an appropriate causal relation to the object apprehended but the agent’s appearance of the object must also be clear (a feature which is accessible to the epistemic agent). The traditional scholarly view rejects internalist interpretations because it is thought that such interpretations cannot make sense of the Stoics’ discussion of the ‘automatic assent’ produced by kataleptic appearances and a purely externalist view is taken to be charitable insofar as it saves the Stoics from a vicious regress which they would otherwise face (were they internalists). I spell out how the regress might be taken to function and defend an internalist interpretation against both these charges. The internalist element embraced by the Stoics does not lead to the problems it is often thought to and the account defended here not only does justice to the textual evidence but also sheds light on the Stoic debates with their sceptical opponents and grants the Stoics an epistemic account fit for purpose. (shrink)

Overview of the Stoic position. Looks at the roots of their determinism in their theology, their response to the 'lazy argument' that believing that all things are fated makes action pointless, their analysis of human action and how it allows actions to be 'up to us,' their rejection of the Principle of Alternate Possibilities, their rejection of anger and other negative reactive attitudes, and their contention that submission to god's will brings true freedom.

ABSTRACT: In contemporary discussions of freedom in Stoic philosophy we often encounter the following assumptions: (i) the Stoics discussed the problem of free will and determinis; (ii) since in Stoic philosophy freedom of the will is in the end just an illusion, the Stoics took the freedom of the sage as a substitute for it and as the only true freedom; (iii) in the c. 500 years of live Stoic philosophical debate, the Stoics were largely concerned with (...) the same philosophical problems of freedom. In this paper I argue that (i) can be upheld only in a very restricted way; (ii) is altogether untenable; and regarding (iii), that, although there may have occurred little change in the Stoic philosophical position on freedom over the centuries, we can detect more than one transformation of the philosophical problems that were at the forefront of the discussion. Moreover, that all the conceptions and problems of freedom were linked to Stoic ethics, and that the differences between them become transparent when one considers their various roles in this context. (shrink)

Recent work in philosophy of language has raised significant problems for the traditional theory of propositions, engendering serious skepticism about its general workability. These problems are, I believe, tied to fundamental misconceptions about how the theory should be developed. The goal of this paper is to show how to develop the traditional theory in a way which solves the problems and puts this skepticism to rest. The problems fall into two groups. The first has to do with reductionism, specifically (...) attempts to reduce propositions to extensional entities-either extensional functions or sets. The second group concerns problems of fine grained content-both traditional 'Cicero'/'Tully' puzzles and recent variations on them which confront scientific essentialism. After characterizing the problems, I outline a non-reductionist approach-the algebraic approach-which avoids the problems associated with reductionism. I then go on to show how the theory can incorporate non-Platonic (as well as Platonic) modes of presentation. When these are implemented nondescriptively, they yield the sort of fine-grained distinctions which have been eluding us. The paper closes by applying the theory to a cluster of remaining puzzles, including a pair of new puzzles facing scientific essentialism. (shrink)

// tl;dr A Proposition is a Way of Thinking // -/- This chapter is about type-theoretic approaches to propositional content. Type-theoretic approaches to propositional content originate with Hintikka, Stalnaker, and Lewis, and involve treating attitude environments (e.g. "Nate thinks") as universal quantifiers over domains of "doxastic possibilities" -- ways things could be, given what the subject thinks. -/- This chapter introduces and motivates a line of a type-theoretic theorizing about content that is an outgrowth of the recent literature on epistemic (...) modality, according to which contentful thought is broadly "informational" in its nature and import. The general idea here is that an object of thought is not a way *the world* could be, but rather a way *one's perspective* could be (with respect to a relevant representational question). I will spend the middle part of this chapter motivating and developing a version of this strategy that is, I’ll argue, well-suited to explaining clear phenomena concerning the attribution of perspectival attitudes -- in particular, attitudes towards loosely information-sensitive propositions -- with which extant approaches struggle. My overarching goal here will be to motivate a distinctive version of the "informational" approach -- the "Flexible Types" approach, which is based on the theory proposed in Charlow (2020). According to the Flexible Types approach, propositional attitude verbs are quantifiers over sets of possibilities, but a possibility is a type-flexible notion -- sometimes a possible world, sometimes a perspective, sometimes a set of possible worlds, sometimes a set of perspectives. -/- After introducing the Flexible Types approach, this chapter circles back to more traditional concerns for the analysis of propositions as types of possibilities -- Frege's Puzzle and the problem of Logical Omniscience. Here too the Flexible Types approach bears fruit. Although there are certainly significant differences -- I note some in the concluding section -- the gist of this theory is Hinitkkan or Lewisian in spirit (if not quite in letter). We can make progress on addressing the challenges for the analysis of propositional content in terms of types of possibilities, through empirically driven refinement of our notion of what kind of thing a "doxastic possibility" is. (shrink)

What can Stoicism offer to contemporary debates about forgiveness? Given their outright rejection of a reactive attitudes framework for responding to wrongdoing and their bold suggestions of how to revise our moral practices, the Stoics provide a valuable lens through which to re-evaluate various central claims in the debates about forgiveness. In this chapter, I highlight four common assumptions that the Stoics would consider problematic: firstly, that forgiveness is opposed to justice; secondly, that anger and resentment are necessary for registering (...) wrongdoing; thirdly, that anger and resentment are generally reliable at tracking the severity of wrongdoing; fourthly, that reconciliation with wrongdoers is an option rather than an imperative of virtue. Insofar as the Stoics provide defensible and often compelling alternatives to these positions, Stoicism offers a number of philosophical resources to re-conceptualize the way we think about forgiveness and suggests ways in which forgiveness might be better integrated into a virtue ethical framework. (shrink)

This paper rehabilitates the Stoic conception of blending from the ground up, by freeing the Stoic conception of body from three interpretive presuppositions. First, the twin hylomorphic presuppositions that where there is body there is matter, and that where there is reason or quality there is an incorporeal. Then, the atomistic presupposition that body is absolutely full and rigid, and the attendant notion that resistance (antitupia) must be ricochet. I argue that once we clear away these presuppositions about (...) body, the foundations of Stoic corporealism fall into place. Body is fundamental (not hylomorphic). The two fundamental principles (archai) are bodies: divine active reason (logos) and passive matter (hulē); and these two bodies are two, not matter and form all over again, nor actual and potential, but agent and patient. The independence of the two archai is no threat to the unity of the cosmos, however, because the Stoic theory of body allows for the complete coextension of the archai. The hylomorphic thinker rightly asks, what relation could be tighter than that of the wax and its shape? The Stoic replies: a causal relation, the interaction of agent and patient completely coextended in a through and through blend. (shrink)

This essay considers how ancient Stoic cosmopolitanism – roughly, the claim all human beings are members of the same “cosmopolis”, or universal city, and so are entitled to moral concern in virtue of possessing reason – informs Stoic thinking about how we ought to treat non-human entities in the environment. First, I will present the Stoic justification for the thesis that there are only rational members of the cosmopolis – and so that moral concern does not extend (...) to any non-human part of the natural world – and explore the foundations of these views in Stoic physics. Next, I will show that, like other anthropocentric theories, Stoic cosmopolitanism allows for environmental preservation and protection of non-human entities, so long as these activities ultimately benefit human beings. However, because the Stoics include the appreciation of natural beauty as a component of the happy life, this justification is not as feeble as it might seem. Humans are naturally set up to contemplate the order and complexity of the universe, and so environmental degradation and species loss, in marring this harmonious system, frustrates the achievement of the human goal. After exploring these facets of Stoic philosophy, and assessing to what extent they might justify environmental conservation, I close with a critical appraisal of Stoic theory – specifically, of the claims that (i) only humans possess reason and (ii) only rational creatures are deserving of moral concern. (shrink)

The later Stoics, especially – and most notably – Posidonius of Apamea, allegedly the greatest polymath of his age and the last in a celebrated line of great philosophers of the ancient world, gradually developed the belief that all parts of the universe, either ensouled or not, were actually interconnected due to the omnipresent, corporeal, primordial kosmikon pyr which, according to Stoicism, pervades each being as the honey pervades the honeycomb. As for reasonable beings, in particular, kosmikon pyr takes the (...) form of logos. Due to that power, Posidonius believes, the phases of moon, for instance, can affect the succession of tides and ebb–tides; on the same grounds, the signs can have major effect on the course of events and, therefore, allow for divination. That kind of interconnectedness, apart from justifying the interdependentness of all beings to each other, testifies for an utter kinship between them, for sympatheia. In this short paper I intent to show that Posidonius’s approach has been promptly adopted and utilized by modern holistic theories concerning Environmental Ethics, especially by Arne Naess’s Deep Ecology and Ecosophy T, in the context of which notions such as kinship, interconnectedness, interdependentness and identification of all beings are key parameters for the articulation of their argumentation. I also intent to outline some essential – in my opinion – differences in the way Posidonius and Naess make use of the notion of interconnectedness, together with some inconsistencies which can be potentially fatal, at least as far as a system of ethics is concerned. This is because notions such as cosmic sympathy may possibly establish an interesting, even charming and influential cosmology or metaphysics, but when it comes to ethics, in my opinion, they can only provide shaky grounds for establishing a firm one, since they allow for deterministic views, which more or less leave no room for personal responsibility, to wit for personal praise or blame. (shrink)

This tutorial is for beginners wanting to learn the basics of propositional logic; the simplest of the formal systems of logic. Leslie Allan introduces students to the nature of arguments, validity, formal proofs, logical operators and rules of inference. With many examples, Allan shows how these concepts are employed through the application of three different methods for proving the formal validity of arguments.

Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false or neither; equal, unequal, or neither; the same, different, or neither.. and so on. There seems to be a general pattern here that calls for a general explanation. This paper offers a general explanation of this pattern, preserving Stoic commitments to excluded middle and bivalence, arguing that Chrysippus employs this trichotomy move (...) when he wishes to argue that apparent contradictories are only contraries, and wishes to endorse a third option. This general explanation of the pattern of trichotomies sheds light on a number of interpretive puzzles, including on Chrysippus's response to the paradox of the cone. The purpose of these trichotomies is also discussed, and it is suggested that they originate from the dialectical context in which philosophical problems were posed. (shrink)

How did the Stoics conceive of a polis and statehood? What happens when these ideas meet different biographies and changing historical environments? To answer these questions, 'The Stoics and the State' combines close philological reading of original source texts and fine-grained conceptual analysis with wide-ranging contextualisation, which is both thematic and diachronic. A systematic account elucidates extant definitions, aspects of statehood (territory, institutions, population and state objectives) and the constitutive function of the common law. The book’s diachronic part investigates how (...) Stoics from Zeno to Marcus Aurelius used their theory of the state to assess particular states, explain the origin of political communities and shape their own political practice. A glimpse at modern adaptations from Justus Lipsius to Martha C. Nussbaum explains the peculiarities of Stoic notions and their basis in a conception of human nature as not only political but essentially sociable and beneficent. (shrink)

The Stoics are famously committed to the thesis that only bodies are, and for this reason they are rightly called “corporealists.” They are also famously compared to Plato’s earthborn Giants in the Sophist, and rightly so given their steadfast commitment to body as being. But the Stoics also notoriously turn the tables on Plato and coopt his “dunamis proposal” that being is whatever can act or be acted upon to underwrite their commitment to body rather than shrink from it as (...) the Giants do. The substance of Stoic corporealism, however, has not been fully appreciated. This paper argues that Stoic corporealism goes beyond the dunamis proposal, which is simply an ontological criterion for being, to the metaphysics of body. This involves, first, an account of body as metaphysically simple and hence fundamental; second, an account of body as malleable and continuous, hence fit for blending (krasis di’ holou) and composition. In addition, the metaphysics of body involves a distinction between this composition relation seen in the cosmology, and the constitution relation by which the four-fold schema called the Stoic Categories proceeds, e.g. the relation between a statue and its clay, or a fist and its underlying hand. It has not been appreciated that the cosmology and the Categories are distinct — and complementary — explanatory enterprises, the one accounting for generation and unity, the other taking those individuals once generated, and giving a mereological analysis of their identity and persistence conditions, kinds, and qualities. The result is an elegant division of Plato’s labor from the Battle of Gods and Giants. On the one hand, the Stoics rehabilitate the crude cosmology of the Presocratics to deliver generation and unity in completely corporeal terms, and that work is found in their Physics. On the other hand, they reform the Giants and “dare to corporealize,” delivering all manner of predication (from identity to the virtues), and that work is found in Stoic Logic. Recognizing the distinctness of these explanatory enterprises helps dissolve scholarly puzzles, and harmonizes the Stoics with themselves. (shrink)

Reprinted in Philosophy of Religion: An Anthology, Wadsworth 2015, 6th edition, eds Michael Rea and Louis Pojman. What is propositional faith? At a first approximation, we might answer that it is the psychological attitude picked out by standard uses of the English locution “S has faith that p,” where p takes declarative sentences as instances, as in “He has faith that they’ll win”. Although correct, this answer is not nearly as informative as we might like. Many people say that there (...) is a more informative answer. They say that, at the very least, propositional faith requires propositional belief. More precisely, they say that faith that p requires belief that p or that it must be partly constituted by belief that p. This view is common enough; call it the Common View. I have two main aims in this paper: (i) to exhibit the falsity of the Common View and the paucity of reasons for it, and (ii) to sketch a more accurate and comprehensive account of what propositional faith is. (shrink)

Basic abstraction principles are reached through ontology, which was traditionally conceived as a depiction of the world itself. Ontology is also described using conceptual modeling (CM) that defines fundamental concepts of reality. CM is one of the central activities in computer science, especially as it is mainly used in software engineering as an intermediate artifact for system construction. To achieve such a goal, we propose Stoic CM (SCM) as a description of what a system must do functionally with minimal (...) ambiguity. As a case study, we apply SCM to investigate the ontology of BPMN (business process modeling notation). Such an undertaking would demonstrate SCM notions and simultaneously may offer a viable ontological foundation for BPMN. SCM defines the being of things and actions in reality based on Stoic notions of existence and subsistence. It has two levels of specification: (1) a subsistence static model where things and actions subsist and (2) an existence dynamic model where things and actions exist in time. From the Stoic ontological point of view, while a thing existing has a clear denotation, subsistence indicates the thing is “being there,” but it is inactive (does not participate in an event). We apply SCM to BPMN processes that involve buying a new car with many notions, such as activity, task, event, and message. The result indicates that SCM produces a tighter representation of reality, thus providing the necessary description of the part in the application world to be used as requirements for developing the software system. (shrink)

Propositionalism is the view that intentional attitudes, such as belief, are relations to propositions. Propositionalists argue that propositionalism follows from the intuitive validity of certain kinds of inferences involving attitude reports. Jubien (2001) argues powerfully against propositions and sketches some interesting positive proposals, based on Russell’s multiple relation theory of judgment, about how to accommodate “propositional phenomena” without appeal to propositions. This paper argues that none of Jubien’s proposals succeeds in accommodating an important range of propositional phenomena, (...) such as the aforementioned validity of attitude-report inferences. It then shows that the notion of a predication act-type, which remains importantly Russellian in spirit, is sufficient to explain the range of propositional phenomena in question, in particular the validity of attitude-report inferences. The paper concludes with a discussion of whether predication act-types are really just propositions by another name. (shrink)

Propositions play a central role in contemporary semantics. On the Russellian account, propositions are structured entities containing particulars, properties and relations. This contrasts sharply with the sets-of-possible-worlds view of propositions. I’ll discuss how to extend the sets-of-worlds view to accommodate fine-grained hyperintensional contents. When this is done in a satisfactory way, I’ll argue, it makes heavy use of entities very much like Russellian tuples. The two notions of proposition become inter-definable and inter-substitutable: they are not genuinely distinct (...) accounts of how propositions represent what they represent. Semantic theorists may move freely between the two conceptions of what propositions are. Nevertheless, the two approaches give different accounts of the metaphysical nature of propositions. I argue that the sets-of-worlds view provides an adequate account of the nature of propositions, whereas the Russellian view cannot. (shrink)

The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this paper (...) is to demonstrate that ordinary English properly used has the resources for intricate and philosophically sound investigation of rather deep issues in logic and philosophy of language. No mathematical, logical, or linguistic symbols are used. Meanings need to be identified and clarified before being expressed in symbols. We hope to establish that clarity is served by deferring the extensive use of formalized or logically perfect languages until a solid “informal” foundation has been established. Questions of “ontological status”—e.g., whether propositions or sentences, or for that matter characters, numbers, truth-values, or instants, are “real entities”, are “idealizations”, or are “theoretical constructs”—plays no role in this paper. As is suggested by the title, this paper is written to be read aloud. -/- I hope that reading this aloud in groups will unite people in the enjoyment of the humanistic spirit of analytic philosophy. (shrink)

Skyrms, building on the work of Dretske, has recently developed a novel information-theoretic account of propositional content in simple signalling systems. Information-theoretic accounts of content traditionally struggle to accommodate the possibility of misrepresentation, and I show that Skyrms’s account is no exception. I proceed to argue, however, that a modified version of Skyrms’s account can overcome this problem. On my proposed account, the propositional content of a signal is determined not by the information that it actually carries, but by the (...) information that it would carry at the nearest separating equilibrium of the underlying evolutionary dynamics. I show that this amended account yields reasonable ascriptions of false propositional content in a well-known formal model of the evolution of communication , and close with a discussion of the serious but perhaps not insuperable difficulties we face in applying the account to examples of signalling in the real world. (shrink)

It is shown that Gqp↑, the quantified propositional Gödel logic based on the truth-value set V↑ = {1 - 1/n : n≥1}∪{1}, is decidable. This result is obtained by reduction to Büchi's theory S1S. An alternative proof based on elimination of quantifiers is also given, which yields both an axiomatization and a characterization of Gqp↑ as the intersection of all finite-valued quantified propositional Gödel logics.

This paper argues that attitudinal objects, entities of the sort of John's judgment, John's thought, and John's claim, should play the role of propositions, as the cognitive products of cognitive acts, not the acts themselves.