1. There is a sense in which, quite generally, with his logic Hegel can be considered the forerunner of many projects taken up by successive (non-classical) logics—and this despite the fact that He...

In this paper I discuss a prevailing view by which logical terms determine forms of sentences and arguments and therefore the logical validity of arguments. This view is common to those who hold that there is a principled distinction between logical and nonlogical terms and those holding relativistic accounts. I adopt the Tarskian tradition by which logical validity is determined by form, but reject the centrality of logical terms. I propose an alternative framework for logic where logical terms no longer (...) play a distinctive role. This account employs a new notion of semantic. (shrink)

In a paper published in this journal, Golan argues for the thesis that there is no tenable notion of global metainferential validity. The conclusion rests on the premise that metainferential validity for propositional languages should be closed under uniform substitution of arbitrary formulas for atoms. This paper looks into Golan's justification for this premise in terms of the formality of logic. It is argued that neither formality as schematicity nor formality as topic-neutrality implies closure under uniform substitution (...) of arbitrary formulas for atoms as requirement. It is also argued that the justification of such a requirement in terms of the formality of logic makes Golan's conclusion irrelevant for logical research. (shrink)

Hume's analyses of human apprehension and of causality were the most penetrating up to his time and continue to have great influence. Contemporary Spanish philosopher Xavier Zubiri has examined both and identified three underlying errors: the failure to recognize that there are three stages of human intellection, and especially that the first, primordial apprehension, has quite unique characteristics; the attempt to place an excessive burden on the content of impressions while ignoring what Zubiri terms their 'formality of reality'; and (...) the failure to recognize that functionality, not causality, is the basis for most of our knowledge. Causal chains in general cannot be adequately known, and therefore are not and cannot be the basis of our knowledge of the external world. Only in the area of persons and morality does causality play a critical role. (shrink)

In this article it is argued that Jhering’s conception of legal formality, which became notorious for being the most extreme expression of conceptualism, makes sense if it is recast as a theory of rights. It is from this vantage point that Jhering’s later methodological self‐critique becomes intelligible in which he mitigated the strains of conceptual constructivism by reflecting on the value of choice granted by a system of rights.

Etiquette and other merely formal normative standards like legality, honor, and rules of games are taken less seriously than they should be. While these standards are not intrinsically reason-providing in the way morality is often taken to be, they also play an important role in our practical lives: we collectively treat them as important for assessing the behavior of ourselves and others and as licensing particular forms of sanction for violations. This chapter develops a novel account of the normativity of (...) formal standards where the role they play in our practical lives explains a distinctive kind of reason to obey them. We have this kind of reason to be polite because etiquette is important to us. We also have this kind of reason to be moral because morality is important to us. This parallel suggests that the importance we assign to morality is insufficient to justify it being substantive. (shrink)

This paper defends two claims. First, I argue that you always have some reason to comply with the social norms applicable to your situation, no matter how immoral or ridiculous, provided you are in the social domain. This is not a baroque, technical fact about social norms: it is fundamental to understanding what they are, how they work, and how they can be a source of grave injustice. Second, I argue that this fact about social normativity requires re-thinking the distinction (...) between formal and robust normativity. Social norms are not robustly normative. But nor are they merely formally normative. Since these two categories are widely assumed to be exhaustive, this requires revising our normative taxonomy. (shrink)

Etiquette and other merely formal normative standards like legality, honor, and rules of games are taken less seriously than they should be. While these standards are not intrinsically reason-providing (or “substantive”) in the way morality is often taken to be, they also play an important role in our practical lives: we collectively treat them as important for assessing the behavior of ourselves and others and as licensing particular forms of sanction for violations. This chapter develops a novel account of the (...) normativity of formal standards where the role they play in our practical lives explains a distinctive kind of reason to obey them. We have this kind of reason to be polite because etiquette is important to us. We also have this kind of reason to be moral because morality is important to us. This parallel suggests that the importance we assign to morality is insufficient to justify it being substantive. (shrink)

In §12 of his 1837 magnum opus, the Wissenschaftslehre, Bolzano remarks that “In the new logic textbooks one reads almost constantly that ‘in logic one must consider not the material of thought but the mere form of thought, for which reason logic deserves the title of a purely formal science’” (WL §12, 46).1 The sentence Bolzano quotes is his own summary of others’ philosophical views; he goes on to cite Jakob, Hoffbauer, Metz, and Krug as examples of thinkers who held (...) that logic abstracts from the matter of thought and considers only its form. Although Bolzano does not mention Kant by name here, Kant does of course hold that “pure general logic”, what Bolzano would consider logic in the traditional sense (the theory of propositions, representations, inferences, etc.), is formal. As Kant remarks in the Introduction to the 2nd edition of Kritik der reinen Vernunft , (pure general) logic is “justified in abstracting – is indeed obliged to abstract – from all objects of cognition and all of their differences; and in logic, therefore, the understanding has to do with nothing further than itself and its own form” (KrV, Bix).2. (shrink)

_ Source: _Volume 56, Issue 3-4, pp 292 - 319 With William of Ockham and John Buridan, Walter Burley is often listed as one of the most significant logicians of the medieval period. Nevertheless, Burley’s contributions to medieval logic have received notably less attention than those of either Ockham or Buridan. To help rectify this situation, the author here provides a comprehensive examination of Burley’s account of consequences, first recounting Burley’s enumeration, organization, and division of consequences, with particular attention to (...) the shift from natural and accidental to formal and material consequence, and then locating Burley’s contribution to the theory of consequences in the context of fourteenth-century work on the subject, detailing its relation to the earliest treatises on consequences, then to Ockham and Buridan. (shrink)

Logic is formal in the sense that all arguments of the same form as logically valid arguments are also logically valid and hence truth-preserving. However, it is not known whether all arguments that are valid in the usual model-theoretic sense are truthpreserving. Tarski claimed that it could be proved that all arguments that are valid (in the sense of validity he contemplated in his 1936 paper on logical consequence) are truthpreserving. But he did not offer the proof. The question arises (...) whether the usual modeltheoretic sense of validity and Tarski's 1936 sense are the same. I argue in this paper that they probably are not, and that the proof Tarski had in mind, although unusable to prove that model-theoretically valid arguments are truth-preserving, can be used to prove that arguments valid in Tarski's 1936 sense are truth-preserving. (shrink)

Recent formalizations of Aristotle's modal syllogistic have made use of an interpretative assumption with precedent in traditional commentary: That Aristotle implicitly relies on a distinction between two classes of terms. I argue that the way Rini (2011. Aristotle's Modal Proofs: Prior Analytics A8–22 in Predicate Logic, Dordrecht: Springer) employs this distinction undermines her attempt to show that Aristotle gives valid proofs of his modal syllogisms. Rini does not establish that Aristotle gives valid proofs of the arguments which she takes to (...) best represent Aristotle's modal syllogisms, nor that Aristotle's modal syllogisms are instances of any other system of schemata that could be used to define an alternative notion of validity. On the other hand, I argue, Robert Kilwardby's ca. 1240 commentary on the Prior Analytics makes use of a term-kind distinction so as to provide truth conditions for Aristotle's necessity propositions which render Aristotle's conversion rules and first figure modal syllogisms formally valid. I reconstruct a suppositio semantics for syllogistic necessity propositions based on Kilwardby's text, and yield a consequence relation which validates key results in the assertoric, pure necessity and mixed necessity-assertoric syllogistics. (shrink)

This paper examines the email discursive practices of particular speakers of two different languages, namely Peninsular Spanish and British English. More specifically, our study focuses on (in)formality and (in)directness therein, for these lie at the heart of considerable scholarly debate regarding, respectively (i) the general stylistic drift towards orality and informality in technology-mediated communication, and (ii) the degree of communicative (in)directness - within broader politeness orientations - of speakers of different languages, specifically an orientation towards directness in Peninsular Spanish (...) vis-à-vis indirectness in British English. The aim of this paper is thus to investigate the role of (in)formality and (in)directness in email messages sent by members of two groups of undergraduate students to their university lecturers. To this end, a corpus of 100 impromptu emails was compiled and analysed. Results revealed complex, fluctuating patterns regarding levels of (in)formality and (in)directness that underlined cross-cultural variation in the way that different sociopragmatic principles found expression in a specific computer-mediated communicative situation. (shrink)

Arguing that the fruitful approach to a reworking of the social depends upon forging an alliance between sociological theory and feminist theory, the paper analyses strands in sociological thinking which are responsible for renewed interest in the ‘social’. The first perspective, as developed by Touraine, Urry, Bauman and Castells, formulates a new agenda for ‘sociology beyond the social’ and emphasizes the limitations of the concept of ‘the social as society’. The second orientation, represented here by Richard Sennett, tracks the shifting (...) relationships between public and private. The third strand, illustrated by the recent work of Robert Putnam, focuses on the notion of social capital. A comparison between these perspectives introduces my argument that we should search for a new balance not only between local and global, and private and public, but also between formality and informality as only such an approach has the potential to capture the complexity of and the interdependence between conditions responsible for the production of demands for trust and ways of generating trust. The paper argues that how actors strike the optimal balance between formality and informality in interactions depends on the specific characteristics of different realms of interaction. Therefore, in conclusion, I describe three styles of interaction: civility, sociability and intimacy, which represent the essential basis for an enhanced quality of social and personal life. (shrink)

As anticipated in section 1.1, the validity of an argument can be explained in terms of its form. To illustrate the idea of formal explanation, consider the following argument.

The rediscovery of Aristotle’s works on syllogisms in the Latin world, especially the Sophistici Elenchi and then the Prior Analytics, gave rise to sophisticated views on the nature of syllogistic form and syllogistic matter in the thirteenth century. It led to debates on the ontology of the syllogism as studied in the Prior Analytics, i.e. the syllogism made of letters and the four logical constants a/e/i/o, with deep consequences on the definition of logic as a universal method for all sciences (...) and as a science itself. (shrink)

The rediscovery of Aristotle’s works on syllogisms in the Latin world, especially the Sophistici Elenchi and then the Prior Analytics, gave rise to sophisticated views on the nature of syllogistic form and syllogistic matter in the thirteenth century. It led to debates on the ontology of the syllogism as studied in the Prior Analytics, i.e. the syllogism made of letters and the four logical constants a/e/i/o, with deep consequences on the definition of logic as a universal method for all sciences (...) and as a science itself. (shrink)

Formal ontology as a main branch of metaphysics investigates categories of being. In the formal ontological approach to metaphysics, these ontological categories are analysed by ontological forms. This analysis, which we illustrate by some category systems, provides a tool to assess the clarity, exactness and intelligibility of different category systems or formal ontologies. We discuss critically different accounts of ontological form in the literature. Of ontological form, we propose a character- neutral relational account. In this metatheory, ontological forms of entities (...) are their standings in internal relations whose holding is neutral on the character of their relata. These relations are “formal ontological relations”. Entities belong to ontological categories because they stand in the same formal ontological relations. We hold a nominalist relationalism about ontological categories and forms. We conclude by showing that our metatheory is useful for understanding categorial fundamentality/non- fundamentality, different formal ontologies, and for unifying metaphysical questions. (shrink)

Although formal thought disorder (FTD) has been for long a clinical label in the assessment of some psychiatric disorders, in particular of schizophrenia, it remains a source of controversy, mostly because it is hard to say what exactly the “formal” in FTD refers to. We see anomalous processing of terminological knowledge, a core construct of human knowledge in general, behind FTD symptoms and we approach this anomaly from a strictly formal perspective. More specifically, we present here a symbolic computational model (...) of storage in, and activation of, a human semantic network, or semantic memory, whose core element is logical form; this is normalized by description logic (DL), namely by CL, a DL-based language – Conception Language – designed to formalize conceptualization from the viewpoint of individual cognitive agency. In this model, disruptions in the rule-based implementation of the logical form account for the apparently semantic anomalies symptomatic of FTD, which are detected by means of a CL-based algorithmic assessment. (shrink)

The formal sciences - mathematical as opposed to natural sciences, such as operations research, statistics, theoretical computer science, systems engineering - appear to have achieved mathematically provable knowledge directly about the real world. It is argued that this appearance is correct.

(This is for the Cambridge Handbook of Analytic Philosophy, edited by Marcus Rossberg) In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples such as (...) Hilbert’s programme and Gödel’s incompleteness theorems; social choice theory, with examples such as Condorcet’s paradox and Arrow’s theorem; ‘how possibly’ results, with examples such as Condorcet’s jury theorem and recent work on intersectionality theory; and the application of advanced mathematics in philosophy, with examples such as accuracy-first epistemology. (shrink)

The broader context for the formal darwinism project established by two of the commentators, in terms of reconciling the Modern Synthesis with Darwinian arguments over design and in terms of links to other types of selection and design, is discussed and welcomed. Some overselling of the project is admitted, in particular of whether it claims to consider all organic design. One important fundamental question raised in two commentaries is flagged but not answered of whether design is rightly represented by an (...) optimisation program, and another from one commentary of whether the coreplicon dissolves in the face of multi-generational imprinting. Calls for the project to be extended to design at levels above and below the individual are considered sympathetically, but judged impractical at the high level of abstraction of the project. All claims of substantive technical error are emphatically rejected. Close technical readings are welcomed that, among other things, represent the project as 'axiomatizing fitness'. The prospects for the project are set out in the light of this highly varied set of commentaries. (shrink)

In the formal semantics based on modern type theories, common nouns are interpreted as types, rather than as predicates of entities as in Montague’s semantics. This brings about important advantages in linguistic interpretations but also leads to a limitation of expressive power because there are fewer operations on types as compared with those on predicates. The theory of coercive subtyping adequately extends the modern type theories and, as shown in this paper, plays a very useful role in making type theories (...) more expressive for formal semantics. It not only gives a satisfactory solution to the basic problem of ‘multiple categorisation’ caused by interpreting common nouns as types, but provides a powerful formal framework to model interesting linguistic phenomena such as copredication, whose formal treatment has been found difficult in a Montagovian setting. In particular, we show how to formally introduce dot-types in a type theory with coercive subtyping and study some type-theoretic constructs that provide useful representational tools for reference transfers and multiple word meanings in formal lexical semantics. (shrink)

Not focusing on the history of classical logic, this book provides discussions and quotes central passages on its origins and development, namely from a philosophical perspective. Not being a book in mathematical logic, it takes formal logic from an essentially mathematical perspective. Biased towards a computational approach, with SAT and VAL as its backbone, this is an introduction to logic that covers essential aspects of the three branches of logic, to wit, philosophical, mathematical, and computational.

I argue that normative formal epistemology (NFE) is best understood as modelling, in the sense that this is the reconstruction of its methodology on which NFE is doing best. I focus on Bayesianism and show that it has the characteristics of modelling. But modelling is a scientific enterprise, while NFE is normative. I thus develop an account of normative models on which they are idealised representations put to normative purposes. Normative assumptions, such as the transitivity of comparative credence, are characterised (...) as modelling idealisations motivated normatively. I then survey the landscape of methodological options: what might formal epistemologists be up to? I argue the choice is essentially binary: modelling or theorising. If NFE is theorising it is doing very poorly: generating false claims with no clear methodology for separating out what is to be taken seriously. Modelling, by contrast, is a successful methodology precisely suited to the management of useful falsehoods. Regarding NFE as modelling is not costless, however. First, our normative inferences are less direct and are muddied by the presence of descriptive idealisations. Second, our models are purpose-specific and limited in their scope. I close with suggestions for how to adapt our practice. (shrink)

This book was designed primarily as a textbook; though the author hopes that it will prove to be of interests to others beside logic students. Part I of this book covers the fundamentals of the subject the propositional calculus and the theory of quantification. Part II deals with the traditional formal logic and with the developments which have taken that as their starting-point. Part III deals with modal, three-valued, and extensional systems.

Basic Formal Ontology (BFO) is a top-level ontology consisting of thirty-six classes, designed to support information integration, retrieval, and analysis across all domains of scientific investigation, presently employed in over 350 ontology projects around the world. BFO is a genuine top-level ontology, containing no terms particular to material domains, such as physics, medicine, or psychology. In this paper, we demonstrate how a series of cases illustrating common types of change may be represented by universals, defined classes, and relations employing the (...) BFO framework. We provide discussion of these cases to provide a template for other ontologists using BFO, as well as to facilitate comparison with the strategies proposed by ontologists using different top-level ontologies. (shrink)