The article presents proofs of the context freeness of a family of typelogical grammars, namely all grammars that are based on a uni- ormultimodal logic of pure residuation, possibly enriched with thestructural rules of Permutation and Expansion for binary modes.

In Rules and Representations, first published in 1980, Noam Chomsky lays out many of the concepts that have made his approach to linguistics and human cognition so instrumental to our understanding of language.Chomsky arrives at his well-known position that there is a universal grammar, structured in the human mind and common to all human languages. Based on Chomsky's 1978 Woodbridge Lectures, this edition contains revised versions of the lectures and two new essays.

Written with verve and intensity (and a good bit of wordplay), this is the long-awaited study of Flaubert and the modern literary field that constitutes the ...

"Rule" adopts the tradition of political philosophy begun by Socrates, refined by Xenophon and Plato. The book concentrates on something the characters call life-without-rule. What would that be? Is it a sort of utopia? How does it differ from anarchy? What makes it so appealing and what are the trade-offs?

“Imagination may be thought of as a ‘work-around.’ It is a resourceful tactic to ‘undo’ a rule by creating a path around it without necessarily defying it.... Transgression, on the other hand, is rule breaking. There is no pretense of reinterpretation; it is defiance pure and simple. Whether imagination or disobedience is the source, constraints need not constrain, ties need not bind.” So writes Kenneth A. Shepsle in his introduction to Rule Breaking and Political Imagination. Institutions are (...) thought to channel the choices of individual actors. But what about when they do not? Throughout history, leaders and politicians have used imagination and transgression to break with constraints upon their agency. Shepsle ranges from ancient Rome to the United States Senate, and from Lyndon B. Johnson to the British House of Commons. He also explores rule breaking in less formal contexts, such as vigilantism in the Old West and the CIA’s actions in the wake of 9/11. Entertaining and thought-provoking, Rule Breaking and Political Imagination will prompt a reassessment of the nature of institutions and remind us of the critical role of political mavericks. (shrink)

Ichikawa and Jarvis offer a new rationalist theory of mental content and defend a traditional epistemology of philosophy. They argue that philosophical inquiry is continuous with non-philosophical inquiry, and can be genuinely a priori, and that intuitions do not play an important role in mental content or the a priori.

‘Rule-following’ is a name for a cluster of phenomena where we seem both guided and “normatively” constrained by something general in performing particular actions. Understanding the phenomenon is important because of its connection to meaning, representation, and content. This article gives an overview of the philosophical discussion of rule-following with emphasis on Kripke’s skeptical paradox and recent work on possible solutions. Part I of this two-part contribution was devoted to the basic issues from Wittgenstein to Kripke. Part II (...) is about recent answers to the skeptical paradox and Boghossian’s and Wright’s new puzzles. (shrink)

What does everyone in the modern world need to know? Renowned psychologist Jordan B. Peterson's answer to this most difficult of questions uniquely combines the hard-won truths of ancient tradition with the stunning revelations of cutting-edge scientific research. Humorous, surprising and informative, Dr. Peterson tells us why skateboarding boys and girls must be left alone, what terrible fate awaits those who criticize too easily, and why you should always pet a cat when you meet one on the street. What does (...) the nervous system of the lowly lobster have to tell us about standing up straight (with our shoulders back) and about success in life? Why did ancient Egyptians worship the capacity to pay careful attention as the highest of gods? What dreadful paths do people tread when they become resentful, arrogant and vengeful? Dr. Peterson journeys broadly, discussing discipline, freedom, adventure and responsibility, distilling the world's wisdom into 12 practical and profound rules for life. [This book] shatters the modern commonplaces of science, faith and human nature, while transforming and ennobling the mind and spirit of its readers. (shrink)

I argue that a practice can only be taken to be one of apparent rule following if it contains a practice of policing moves within the practice. So the existence of an apparently rule-governed practice entails the existence of, what I call, a policing practice. I then argue that this entailment cannot be reconciled with a non-factualist construal of the policing practice. Thus non-factualism about the policing practice is false. Factualism about the policing practice entails realism about rules. (...) So I conclude that we ought to be realists about rules. Finally I distinguish a position which I call ultra-realism about rules and note that this too is a casualty of the view developed here. (shrink)

In this chapter a new problem about rule-following is outlined, one that is distinct both from Kripke’s and Wright’s versions of the problem. This new problem cannot be correctly responsed to, as Kripke’s can, by invoking Wright’s Intentional Account of rule-following. The upshot might be called, following Kant, an antinomy of pure reason: we both must — and cannot — make sense of someone’s following a rule. The chapter explores various ways out of this antinomy without here (...) endorsing any of them. (shrink)

The doctrine of precedent, as it has evolved within the common law, has at its heart a form of reasoning—broadly speaking, alogic—according to which the decisions of earlier courts in particular cases somehow generalize to constrain the decisions of later courts facing different cases, while still allowing these later courts a degree of freedom in responding to fresh circumstances. Although the techniques for arguing on the basis of precedent are taught early on in law schools, mastered with relative ease, and (...) applied on a daily basis by legal practitioners, it has proved to be considerably more difficult to arrive at a theoretical understanding of the doctrine itself—a clear articulation of the underlying logic. (shrink)

This chapter contains sections titled: Textual Problems The Trinitarian Structure within the Introduction to the Philosophy of History The Trinitarian Structure in History The Role of Race in History List of Abbreviations of Works by Hegel References.

In emergency situations and while medical resources are sufficient, doctors are expected to prioritize and treat patients according to medical criteria only. In MASSCAL situations and when medical resources become insufficient, patient selection and prioritization changes. Rules of triage are applied with the aim of getting the best result possible under the circumstances, e.g., saving the largest number; collective health outweighs individual health. Still, according to the standard ethical principles, non-medical criteria should never influence the doctors’ decision of who will (...) be treated. In military contexts, so-called medical rules of eligibility (MROE) provide rules that include non-medical criteria. This chapter aims to analyze if, why, and under what circumstances it may be ethically acceptable to prioritize patients according to non-medical criteria. (shrink)

Logic was revered in the thirteenth century, perhaps more highly than it has been revered before or since. In the Muslim East, logic was an integral part of the syllabus of schools and found to be especially helpful for legal studies. It was at this time that The Canons of Logic was composed by Najm al-Din al-Katibi, a scholar of the Shafi'i school of law. The Rules of Logic is the most widely read introduction to logic in the Arabic-speaking world. (...) It has probably enjoyed a longer shelf-life than any other logic textbook ever written, having been in use by madrasa students from the early fourteenth century up until the present day. Building on the theories of Avicenna, al-Razi, and other pioneers of logic, al-Katibi discusses the many pitfalls of building arguments and setting out unambiguous claims in natural language. The enduring nature of the text is a testament to al-Katibi and his impact on concepts of formal discourse and argument. This new translation of The Canons of Logic provides new life to an influential text that has shaped the work of scholars of logic for centuries. (shrink)

The paper contains a conceptual proposal, its key idea being that the successful functioning of a rule embedding artifact designed to regulate a practice (not pertaining to its use) produces the same result as the successful performance of the rule-invoking non-communicative actions belonging to the practice in case.

The book from which these sections are excerpted is concerned with the prospects for assimilating the study of human intelligence and its products to the natural sciences through the investigation of cognitive structures, understood as systems of rules and representations that can be regarded as These mental structui′es serve as the vehicles for the exercise of various capacities. They develop in the mind on the basis of an innate endowment that permits the growth of rich and highly articulated structures along (...) an intrinsically determined course under the triggering and partially shaping effect of experience, which fixes parameters in an intricate system of predetermined form. It is argued that the mind is modular in character, with a diversity of cognitive structures, each with its specific properties arid principles. Knowledge of language, of the behavior of objects, and much else crucially involves these mental structures, and is thus not characterizable in terms of capacities, dispositions, or practical abilities, nor is it necessarily grounded in experience in the standard sense of this term. (shrink)

We can evaluate laws as better or worse relative to different normative standards. One might lament the fact that a law violates human rights or, in a different register, marvel at its ease of application. A question in legal philosophy is whether some standards for evaluating laws are fixed by—or grounded in—the very nature of law. I take Raz’s discussion of the distinctively legal virtues, those that fall under the rubric of the “Rule of Law” such as clarity, generality, (...) and non-retroactivity, as my starting point for exploring a very general puzzle about the relationship between law’s essence and its virtue. -/- The claim that there are some virtues that laws have qua laws invites a comparison between law and other “goodness-fixing kinds.” A kind is goodness-fixing if what it is to be a member of the kind fixes a standard for evaluating instances as better or worse. For example, if an object belongs to the kind CLOCK, whether it keeps time accurately provides a basis for evaluating it as better or worse as a clock. Furthermore, the relevant normative fact—if a clock does not keep time accurately, it is a bad clock—is at least partly explainable in terms of the nature of clocks (clocks are things that are supposed to be keep time accurately). Hence, for any goodness-fixing kind, K, that sets a standard, S, for evaluating Ks as Ks, we can ask: (1) How does the nature of Ks explain S? (2) Does being a K depend on meeting a minimum threshold of S-relative goodness? In the case of law and its constitutive standard defined by the Rule-of-Law virtues, these questions lack settled answers. Although Raz offers some discussion, I argue that his answers have the surprising upshot of rendering law sui generis relative to other goodness-fixing kinds, and that preserving continuity with other goodness-fixing kinds involves revising the general picture. (shrink)

I discuss a neglected solution to the skeptical problem introduced by Lewis Carroll’s “What the Tortoise Said to Achilles” (1895) in terms of a self-citational inferential license. I then consider some responses to this solution. The most significant response on behalf of the skeptic utilizes the familiar distinction between two ways of accepting a rule: as action-guiding and as a mere truth. I argue that this is ultimately unsatisfactory and conclude by opting for an alternative conception of rules as (...) representations of behavior deployed for various purposes, some theoretical and others practical. This alternative conception does not allow the skeptical problem to get off the ground. (shrink)

This chapter contains section titled: I II III.

Sport, Rules and Values presents a philosophical perspective on some issues concerning the character of sport. Central questions for the text are motivated from real life sporting examples as described in newspaper reports. For instance, the (supposed) subjectivity of umpiring decisions is explored via an examination of the judging ice-skating at the Salt Lake City Olympic Games of 2002. Throughout, the presentation is rich in concrete cases from sporting situations, including baseball, football, and soccer. While granting the constitutive nature of (...) the rules of sport, discussion focuses on three broad uses commonly urged for rules: in defining sport; in judging or assessing sport (as deployed by judges or umpires); and in characterizing the value of sport, especially if that value is regarded as moral value. In general, McFee rejects a conception of the determinacy of rules as possible within sport, and a parallel picture of the determinacy assumed to be required by philosophy. (shrink)

[EDIT: This book will be published open access. Check back around April 2024 to access the entire book.] One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes to the explanatory power of science by expressing conceptual rules, rules which (...) allow the transformation of empirical descriptions. Mathematics should not be thought of as describing, in any substantive sense, an abstract realm of eternal mathematical objects, as traditional platonists have thought. In Rules to Infinity, this view, which I call mathematical normativism, is updated with contemporary philosophical tools, and it is argued that normativism is compatible with mainstream semantic theory. This allows the normativist to accept that there are mathematical truths, while resisting the platonistic idea that there exist abstract mathematical objects that explain such truths. Furthermore, Rules to Infinity defends a particular account of the distinction between scientific explanations that are in some sense distinctively mathematical – those that explain natural phenomena in some uniquely mathematical way – and those that are only standardly mathematical, and it lays out desiderata for any account of this distinction. Normativism is compared with other prominent views in the philosophy of mathematics such as neo-Fregeanism, fictionalism, conventionalism, and structuralism. Rules to Infinity serves as an entry point into debates at the forefront of philosophy of science and mathematics, and it defends novel positions in these debates. (shrink)

Do extreme, unethical governmental policies often produce results opposite to those intended? This book considers the ironic outcomes of recent global events and concludes that there is a 'rule of reverse results' at work. While not a hard and fast law, the rule points out the increased probability that a policy will backfire if it is immoral while ethical policies, even if extreme, are unlikely to produce reverse results. The issue here is that of increased likelihood but not (...) of certainty. Governments can never be sure as to the effects of their actions: to some extent they are always working in the dark. But if the motivation is right, moral and humane the policies will not often produce adverse results the opposite of those intended. Based on events in global history in the Twentieth and Twenty-First centuries the chapters can each be read individually, as well as being part of the argument. (shrink)

I. Recent years have witnessed a great resurgence of interest in the writings of the later Wittgenstein, especially with those passages roughly, Philosophical Investigations p)I 38 — 242 and Remarks on the Foundations of mathematics, section VI that are concerned with the topic of rules. Much of the credit for all this excitement, unparalleled since the heyday of Wittgenstein scholarship in the early IIJ6os, must go to Saul Kripke's I4rittgenstein on Rules and Private Language. It is easy to explain why. (...) To begin with, the dialectic Kripke uncovered from Wittgenstein's.. (shrink)

‘Rule-following’ is a name for a cluster of phenomena where we seem both guided and “normatively” constrained by something general in performing particular actions. Understanding the phenomenon is important because of its connection to meaning, representation, and content. This article gives an overview of the philosophical discussion of rule-following with emphasis on Kripke’s skeptical paradox and recent work on possible solutions. Part I of this two-part contribution is devoted to the basic issues from Wittgenstein to Kripke. Part II (...) will be about recent answers to the skeptical paradox and Boghossian’s and Wright’s new puzzles. (shrink)

The rule of law and the law of nature -- The rule of law in Athenian democracy and Plato's Laws -- Protagoras on democracy and the rule of law -- Sophistic criticisms of the rule of law -- What make a law good? -- Plato's Socrates and the law codes of Athens -- The role of law in the classification of democratic constitutions in Aristotle, Pol. IV.

Sentimental Rules is an ambitious and highly interdisciplinary work, which proposes and defends a new theory about the nature and evolution of moral judgment. In it, philosopher Shaun Nichols develops the theory that emotions play a critical role in both the psychological and the cultural underpinnings of basic moral judgment. Nichols argues that our norms prohibiting the harming of others are fundamentally associated with our emotional responses to those harms, and that such 'sentimental rules' enjoy an advantage in cultural evolution, (...) which partly explains the success of certain moral norms. This has sweeping and exciting implications for philosophical ethics. Nichols builds on an explosion of recent intriguing experimental work in psychology on our capacity for moral judgment and shows how this empirical work has broad import for enduring philosophical problems. The result is an account that illuminates fundamental questions about the character of moral emotions and the role of sentiment and reason in how we make our moral judgments. This work should appeal widely across philosophy and the other disciplines that comprise cognitive science. (shrink)

In this paper, I examine Hume’s account of an important class of causal belief which he calls “general rules”. I argue that he understands general rules, like all causal beliefs, as lively ideas which are habitually associated with our impressions or memories. However, I argue, he believes that they are unlike any reflectively produced causal beliefs in that they are produced quickly and automatically, such that they occur independently of any other processes of reasoning. Given this, I argue, Hume appears (...) to understand general rules as relatively simple beliefs, expressible only via generic sentences, like “birds lay eggs”. (shrink)

Many philosophers think that games like chess, languages like English, and speech acts like assertion are constituted by rules. Lots of others disagree. To argue over this productively, it would be first useful to know what it would be for these things to be rule-constituted. Searle famously claimed in Speech Acts that rules constitute things in the sense that they make possible the performance of actions related to those things (Searle 1969). On this view, rules constitute games, languages, and (...) speech acts in the sense that they make possible playing them, speaking them and performing them. This raises the question what it is to perform rule-constituted actions (e. g. play, speak, assert) and the question what makes constitutive rules distinctive such that only they make possible the performance of new actions (e. g. playing). In this paper I will criticize Searle’s answers to these questions. However, my main aim is to develop a better view, explain how it works in the case of each of games, language, and assertion and illustrate its appeal by showing how it enables rule-based views of these things to respond to various objections. (shrink)

Understanding legal rules not as determinants of behavior but as points of reference for conduct, this volume considers the ways in which rules are invoked, referred to, interpreted, put forward, or blurred. It also asks how both legal practitioners and lay participants conceive of and participate in the construction of facts and rules, and thus, through decisions, defenses, pleas, files, evidence, interviews and documents, actively participate in law's life. With attention to the formulation of notions such as person, evidence, intention, (...) cause and responsibility in the course of legal practices, Legal Rules in Practice provides the outlines of a praxiological anthropology of law - an anthropology that focuses on words, concepts and reasoning as actively used to solve conflicts with the help of legal rules. As such, it will appeal to sociologists, anthropologists and scholars of law with interests in ethnomethodology, rule-based conduct and practical reasoning. (shrink)

This chapter contains sections titled: Odysseus's Iron Soul Socrates' Wild Claim The Treasure Parable How Socrates Teaches the World The Incommensurable Objection Socrates Restates the Absurdity Augustine's Tormented Decision The Brute‐Desire Objection Further Reading.

Wittgenstein's insights -- Imitation -- Is meaning normative? -- How to blunt Hume's guillotine? -- The miracle of mathematics -- Into Popper's world.

In the middle of the 20th century, it was a common Wittgenstein-inspired idea in philosophy that for a linguistic expression to have a meaning is for it to be governed by a rule of use. In other words, it was widely believed that meanings are to be identified with use-conditions. However, as things stand, this idea is widely taken to be vague and mysterious, inconsistent with “truth-conditional semantics”, and subject to the Frege-Geach problem. In this paper I reinvigorate the (...) ideas that meaningfulness is a matter of being governed by rules of use and that meanings are best thought of in terms of use-conditions. I will do this by sketching the Rule-Governance view of the nature of linguistic meaningfulness, showing that the view isn’t by itself subject to the two problems, and explain why the idea has had a lasting appeal to philosophers from Strawson to Kaplan and why we should find it continually attractive. (shrink)

The book from which these sections are excerpted is concerned with the prospects for assimilating the study of human intelligence and its products to the natural sciences through the investigation of cognitive structures, understood as systems of rules and representations that can be regarded as “mental organs.” These mental structui′es serve as the vehicles for the exercise of various capacities. They develop in the mind on the basis of an innate endowment that permits the growth of rich and highly articulated (...) structures along an intrinsically determined course under the triggering and partially shaping effect of experience, which fixes parameters in an intricate system of predetermined form. It is argued that the mind is modular in character, with a diversity of cognitive structures, each with its specific properties arid principles. Knowledge of language, of the behavior of objects, and much else crucially involves these mental structures, and is thus not characterizable in terms of capacities, dispositions, or practical abilities, nor is it necessarily grounded in experience in the standard sense of this term.Various types of knowledge and modes of knowledge acquisition are discussed in these terms. Some of the properties of the language faculty are investigated. The basic cognitive relation is “knowing a grammar”; knowledge of language is derivative and, correspondingly, raises further problems. Language as commonly understood is not a unitary phenomenon but involves a number of interacting systems: the “computational” system of grammar, which provides the representations of sound and meaning that permit a rich range of expressive potential, is distinct from a conceptual system with its own properties; knowledge of language must be distinguished from knowledge of how to use a language; and the various systems that enter into the knowledge and use of language must be further analyzed into their specific subcomponents. (shrink)

It is commonly claimed that rule consequentialism (utilitarianism) collapses into act consequentialism, because sometimes there are benefits from breaking the rules. I suggest this argument is less powerful than has been believed. The argument requires a commitment to a very particular (usually implicit) account of feasibility and constraints. It requires the presupposition that thinking of rules as the relevant constraint is incorrect. Supposedly we should look at a smaller unit of choice—the single act—as the relevant choice variable. But once (...) we see feasibility as a matter of degree, there is no obvious cut-off point for how broadly we should think about the constraints on our choices. Treating “a bundle of choices” as a relevant free variable is no less defensible than treating “a single act” as the relevant free variable. Rule utilitarianism, rule consequentialism, and other rules-based approaches are stronger than their current reputation. (shrink)

Majority rule is often regarded as an important democratic principle. But modern democracies divide voters into districts. So if the majority should rule, which majority should rule? Should it be the popular majority, or an electoral majority (i.e., either the majority of voters in the majority of districts, or the majority of voters in districts that contain the majority of the population)? I argue that majority rule requires rule by the popular majority. This view is (...) not novel and may seem obvious. But it is rarely defended, and often rejected. I defend it by arguing that this view about which majority should rule is best supported by the arguments for why the majority should rule, and best avoids the arbitrary and perverse verdicts of rule by electoral majorities. I close by considering the significant practical implications of the view. The Electoral College is often criticized on the basis that the winner of the popular vote doesn’t always win the election. But all district-based democracies have this feature, so all district-based democracies must be reformed if they are to satisfy the principle of majority rule. (shrink)

A picture book about the importance of following rules and taking responsibility.