While there is a general consensus around the role of religion in the abolition of the Slave Trade, historians continue to give little to no detail on exactly how Christian theology influenced the abolitionist movement. This article seeks to interrogate one major theological factor inherent in the spirituality that underpinned the activism of the British abolitionists, namely their notion of Divine Providence, and particularly its moral-emotive correlate: the fear of God’s wrath. These theological notions are discussed based mainly on the (...) analysis of the primary sources and within the theoretical framework of judicial providentialism, aptly captured by John Coffey among others. (shrink)

A key component of the susceptibility to cognitive biases is the ability to monitor for conflict between intuitively cued “heuristic” answers and logical principles. While there is evidence that pe...

In this paper, we address reports of “selfless” experiences from the perspective of active inference and predictive processing. Our argument builds upon grounding self-modelling in active inference as action planning and precision control within deep generative models – thus establishing a link between computational mechanisms and phenomenal selfhood. We propose that “selfless” experiences can be interpreted as cases in which normally congruent processes of computational and phenomenal self-modelling diverge in an otherwise conscious system. We discuss two potential mechanisms – within (...) the Bayesian mechanics of active inference – that could lead to such a divergence by attenuating the experience of selfhood: “self-flattening” via reduction in the depth of active inference and “self-attenuation” via reduction of the expected precision of self-evidence. (shrink)

This special issue addresses the debate on personal identity from a phenomenological viewpoint, especially contemporary phenomenological research on selfhood. In the introduction, we first offer a brief survey of the various classic questions related to personal identity according to Locke’s initial proposal and sketch out key concepts and distinctions of the debate that came after Locke. We then characterize the types of approach represented by post-Hegelian, German and French philosophies of the nineteenth and twentieth centuries. We argue that whereas the (...) Anglophone debates on personal identity were initially formed by the persistence question and the characterization question, the “Continental” tradition included remarkably intense debates on the individual or the self as being unique or “concrete,” deeply temporal and—as claimed by some philosophers, like Sartre and Foucault—unable to have any identity, if not one externally imposed. We describe the Continental line of thinking about the “self” as a reply and an adjustment to the post-Lockean “personal identity” question. These observations constitute the backdrop for our presentation of phenomenological approaches to personal identity. These approaches run along three lines: debates on the layers of the self, starting from embodiment and the minimal self and running all the way to the full-fledged concept of person; questions of temporal becoming, change and stability, as illustrated, for instance, by aging or transformative life-experiences; and the constitution of identity in the social, institutional, and normative space. The introduction thus establishes a structure for locating and connecting the different contributions in our special issue, which, as an ensemble, represent a strong and differentiated contribution to the debate on personal identity from a phenomenological perspective. (shrink)

According to panqualityism, a form of Russellian monism defended by Sam Coleman and others, consciousness is grounded in fundamental qualities, i.e. unexperienced qualia. Despite panqualityism’s significant promise, according to David Chalmers panqualityism fails as a theory of consciousness since the reductive approach to awareness of qualities it proposes fails to account for the specific phenomenology associated with awareness. I investigate Coleman’s reasoning against this kind of phenomenology and conclude that he successfully shows that its existence is controversial, and so Chalmers’s (...) critique is inconclusive. I then present a critique of panqualityism that avoids this controversial posit, arguing that the panqualityist treatment of awareness faces an explanatory gap, failing to account for the intimate cognitive access to qualities which we are afforded, i.e. for our ‘strong awareness’ of qualities. The real worry for panqualityists is thus not the contested phenomenology of awareness, which Chalmers relies on, but rather the special way in which we are aware of qualities. (shrink)

This volume on the semantic complexity of natural language explores the question why some sentences are more difficult than others. While doing so, it lays the groundwork for extending semantic theory with computational and cognitive aspects by combining linguistics and logic with computations and cognition. -/- Quantifier expressions occur whenever we describe the world and communicate about it. Generalized quantifier theory is therefore one of the basic tools of linguistics today, studying the possible meanings and the inferential power of quantifier (...) expressions by logical means. The classic version was developed in the 1980s, at the interface of linguistics, mathematics and philosophy. Before this volume, advances in "classic" generalized quantifier theory mainly focused on logical questions and their applications to linguistics, this volume adds a computational component, the third pillar of language use and logical activity. This book is essential reading for researchers in linguistics, philosophy, cognitive science, logic, AI, and computer science. (shrink)

Quantifiers in phrasal and clausal comparatives often seem to take distributive scope in the matrix clause: for instance, the sentence John is taller than every girl is is true iff for every girl it holds that John is taller than that girl. Broadly speaking, two approaches exist that derive this reading without postulating the wide scope of the quantifier: the negation analysis and the interval analysis of than-clauses. We propose a modification of the interval analysis in which than-clauses are not (...) treated as degree intervals but as degree pluralities. This small change has significant consequences: it yields a straightforward account of differentials in comparatives and it correctly predicts the existence of hitherto unnoticed readings, viz. cumulative readings of clausal comparatives. Finally, this paper also makes the case that using degree pluralities is conceptually appealing: it allows us to restrict the analysis of comparatives by mechanisms that are postulated independently in the semantics of pluralities. (shrink)

We examine the verification of simple quantifiers in natural language from a computational model perspective. We refer to previous neuropsychological investigations of the same problem and suggest extending their experimental setting. Moreover, we give some direct empirical evidence linking computational complexity predictions with cognitive reality.<br>In the empirical study we compare time needed for understanding different types of quantifiers. We show that the computational distinction between quantifiers recognized by finite-automata and push-down automata is psychologically relevant. Our research improves upon hypothesis and (...) explanatory power of recent neuroimaging studies as well as provides<br>evidence. (shrink)

Cognitive architectures have often been applied to data from individual experiments. In this paper, I develop an ACT-R reader that can model a much larger set of data, eye-tracking corpus data. It is shown that the resulting model has a good fit to the data for the considered low-level processes. Unlike previous related works, the model achieves the fit by estimating free parameters of ACT-R using Bayesian estimation and Markov-Chain Monte Carlo techniques, rather than by relying on the mix of (...) manual selection + default values. The method used in the paper is generalizable beyond this particular model and data set and could be used on other ACT-R models. (shrink)

According to some interpreters, Foucault's encounter with the Greek and Roman ethics led him to reconsider his earlier work and to turn away from politics. Drawing mostly from Foucault's last and hitherto unpublished lecture course, this paper argues that Foucault's turn to ethics should not be interpreted as a turn away from his previous work, but rather as its logical continuation and an attempt to resolve some of the outstanding questions. I argue that the 1984 lectures on parrhesia should be (...) interpreted as Foucault's philosophical apology, as an attempt to defend himself against the charges of moral and epistemological nihilism, which were raised in response to his earlier work. In his last lectures, the Nietzschean Foucault somewhat surprisingly describes his earlier work as authentic Socratic philosophy and as ethical practice of freedom. In the conclusion, I assess the plausibility of Foucault's apology and speculate in which direction his work might have developed, had it not been cut off by his death. (shrink)

Locke claims that a person’s identity over time consists in the unity of consciousness, not in the sameness of the body. Similarly, the phenomenological approach refuses to see the criteria of identity as residing in some externally observable bodily features. Nevertheless, it does not accept the idea that personal identity has to consist either in consciousness or in the body. We are self-aware as bodily beings. After providing a brief reassessment of Locke and the post-Lockean discussion, the article draws on (...) phenomenological arguments that show the body as lived, that is, lived as one’s own body, but also possibly as “other” or “strange.” Against what has been claimed in recent writing, especially in literature on Merleau-Ponty, the author argues that the “mineness” of the body and its “alterity” are not two mutually exclusive features. In the final part of the article, the author suggests that the becoming strange of one’s own body may legitimately be considered as a prominent experience of what it means to be a person. (shrink)

Narrative identity theory in some of its influential variants makes three fundamental assumptions. First, it focuses on personal identity primarily in terms of selfhood. Second, it argues that personal identity is to be understood as the unity of one’s life as it develops over time. And finally, it states that the unity of a life is articulated, by the very person itself, in the form of a story, be it explicit or implicit. The article focuses on different contemporary phenomenological appraisals (...) of the narrative account. The survey of this partly critical debate is followed by concluding observations concerning a possible phenomenological theory of personal identity. (shrink)

This article explores book of poems entitled Requiem for Saddam Hussein and Other Poems for the Poor in Spirit by Konrad Góra in the light of animal studies. Looking at the poetic and beyond poetic activity of its author, this work reffers to Joanna Żylińska's question about ethical living founded on understandig of life both as zoe and bios. Think of the special opposition of village and city is trying to read this book in connection with mentioned vision of life. (...) These both areas shows presentifications and redefinings of persona in poems from Requiem and beyond poetic activity. By concentrating on poems specific for „nature” and „civilization this research will show how the mechanism of subordinating bare life works and how it concerns to both sides of the opposition of village and city. This article ask also for non-victims community, position and power of modern literature and involvment. (shrink)

Trish Glazebrook has written an interesting book, and philosophers who care for Heidegger’s writing will do well to read it. The book is fertile and suggestive; it spans a large number of Heidegger’s writings, famous and obscure, and it presents Heidegger’s thinking on science from the same important variety of perspectives that Heidegger himself deems necessary to all philosophizing: science as a thought-system in need of theoretical grounding; science as a practice that involves an existential commitment by the practitioner; science (...) as a cultural possibility within an institutional setting; science as a body of knowledge that has a history; science as a way of comportment in which the world is disclosed. She shows that these perspectives belong together, and thus produces an interesting narrative in which Heidegger’s famous later critique of technology grows more or less directly out of his disastrous attempt at managing university politics, which in turn results from his Kant-and Aristotle-inspired thought on contemporary physics. In the end, Glazebrook can justifiably “hope to have awakened in others an interest in Heidegger’s philosophy of science.” And perhaps to have added momentum to the burgeoning literature on just this topic. (shrink)

In the dissertation we study the complexity of generalized quantifiers in natural language. Our perspective is interdisciplinary: we combine philosophical insights with theoretical computer science, experimental cognitive science and linguistic theories. -/- In Chapter 1 we argue for identifying a part of meaning, the so-called referential meaning (model-checking), with algorithms. Moreover, we discuss the influence of computational complexity theory on cognitive tasks. We give some arguments to treat as cognitively tractable only those problems which can be computed in polynomial time. (...) Additionally, we suggest that plausible semantic theories of the everyday fragment of natural language can be formulated in the existential fragment of second-order logic. -/- In Chapter 2 we give an overview of the basic notions of generalized quantifier theory, computability theory, and descriptive complexity theory. -/- In Chapter 3 we prove that PTIME quantifiers are closed under iteration, cumulation and resumption. Next, we discuss the NP-completeness of branching quantifiers. Finally, we show that some Ramsey quantifiers define NP-complete classes of finite models while others stay in PTIME. We also give a sufficient condition for a Ramsey quantifier to be computable in polynomial time. -/- In Chapter 4 we investigate the computational complexity of polyadic lifts expressing various readings of reciprocal sentences with quantified antecedents. We show a dichotomy between these readings: the strong reciprocal reading can create NP-complete constructions, while the weak and the intermediate reciprocal readings do not. Additionally, we argue that this difference should be acknowledged in the Strong Meaning hypothesis. -/- In Chapter 5 we study the definability and complexity of the type-shifting approach to collective quantification in natural language. We show that under reasonable complexity assumptions it is not general enough to cover the semantics of all collective quantifiers in natural language. The type-shifting approach cannot lead outside second-order logic and arguably some collective quantifiers are not expressible in second-order logic. As a result, we argue that algebraic (many-sorted) formalisms dealing with collectivity are more plausible than the type-shifting approach. Moreover, we suggest that some collective quantifiers might not be realized in everyday language due to their high computational complexity. Additionally, we introduce the so-called second-order generalized quantifiers to the study of collective semantics. -/- In Chapter 6 we study the statement known as Hintikka's thesis: that the semantics of sentences like ``Most boys and most girls hate each other'' is not expressible by linear formulae and one needs to use branching quantification. We discuss possible readings of such sentences and come to the conclusion that they are expressible by linear formulae, as opposed to what Hintikka states. Next, we propose empirical evidence confirming our theoretical predictions that these sentences are sometimes interpreted by people as having the conjunctional reading. -/- In Chapter 7 we discuss a computational semantics for monadic quantifiers in natural language. We recall that it can be expressed in terms of finite-state and push-down automata. Then we present and criticize the neurological research building on this model. The discussion leads to a new experimental set-up which provides empirical evidence confirming the complexity predictions of the computational model. We show that the differences in reaction time needed for comprehension of sentences with monadic quantifiers are consistent with the complexity differences predicted by the model. -/- In Chapter 8 we discuss some general open questions and possible directions for future research, e.g., using different measures of complexity, involving game-theory and so on. -/- In general, our research explores, from different perspectives, the advantages of identifying meaning with algorithms and applying computational complexity analysis to semantic issues. It shows the fruitfulness of such an abstract computational approach for linguistics and cognitive science. (shrink)

Lascar described E KP as a composition of E L and the topological closure of E L (Casanovas et al. in J Math Log 1(2):305–319). We generalize this result to some other pairs of equivalence relations. Motivated by an attempt to construct a new example of a non-G-compact theory, we consider the following example. Assume G is a group definable in a structure M. We define a structure M′ consisting of M and X as two sorts, where X is an (...) affine copy of G and in M′ we have the structure of M and the action of G on X. We prove that the Lascar group of M′ is a semi-direct product of the Lascar group of M and G/G L . We discuss the relationship between G-compactness of M and M′. This example may yield new examples of non-G-compact theories. (shrink)

In this essay, I examine the motive of inner truthfulness in the moral philosophy of Kant, which came to the fore in his work in the 1790s. Truthfulness and sincerity are interpreted as the roots of all morality. In the first chapter, I present two interpretations of inner honesty from two different perspectives: in relation to a duty to oneself and to the issue of conscience. The second chapter (the core of the essay) works out the main demand of truthfulness, (...) especially in the context of the theory of radical evil from Religion within the Boundaries of Mere Reason. As a last step, I show that with the motive of truthfulness, Kant’s philosophy meets the thinking of F. Nietzsche, with its emphasis on sincerity. (shrink)

In recent years there has been a heated debate on how to accommodate John Perry's observations about the essentiality of indexicality into our models of linguistic communication. This article is an attempt at providing a new perspective on this issue. I argue that we should jettison two elements taken for granted by the views I present, and criticize, here: no centring, uncentring, recentring and multicentring. These elements are: (1) taking the asserted content to be a part of the communication process (...) and (2) assumptions that the indexical belief of the speaker, when successfully communicated, must be acquired by the hearer as indexical, too. The theory of indexical communication that I propose here is laid out in the mental files framework and devoid of the two aforementioned elements. (shrink)

We study the computational complexity of polyadic quantifiers in natural language. This type of quantification is widely used in formal semantics to model the meaning of multi-quantifier sentences. First, we show that the standard constructions that turn simple determiners into complex quantifiers, namely Boolean operations, iteration, cumulation, and resumption, are tractable. Then, we provide an insight into branching operation yielding intractable natural language multi-quantifier expressions. Next, we focus on a linguistic case study. We use computational complexity results to investigate semantic (...) distinctions between quantified reciprocal sentences. We show a computational dichotomy<br>between different readings of reciprocity. Finally, we go more into philosophical speculation on meaning, ambiguity and computational complexity. In particular, we investigate a possibility to<br>revise the Strong Meaning Hypothesis with complexity aspects to better account for meaning shifts in the domain of multi-quantifier sentences. The paper not only contributes to the field of the formal<br>semantics but also illustrates how the tools of computational complexity theory might be successfully used in linguistics and philosophy with an eye towards cognitive science. (shrink)

Within theoretical and empirical enquiries, many different meanings associated with consciousness have appeared, leaving the term itself quite vague. This makes formulating an abstract and unifying version of the concept of consciousness – the main aim of this article –into an urgent theoretical imperative. It is argued that consciousness, characterized as dually accessible (cognized from the inside and the outside), hierarchically referential (semantically ordered), bodily determined (embedded in the working structures of an organism or conscious system), and useful in action (...) (pragmatically functional), is a graded rather than an all-or-none phenomenon. A gradational approach, however, despite its explanatory advantages, can lead to some counterintuitive consequences and theoretical problems. In most such conceptions consciousness is extended globally (attached to primitive organisms or artificial systems), but also locally (connected to certain lower-level neuronal and bodily processes). For example, according to information integration theory (as introduced recently by Tononi and Koch, 2014), even such simple artificial systems as photodiodes possess miniscule amounts of consciousness. The major challenge for this article, then, is to establish reasonable, empirically justified constraints on how extended the range of a graded consciousness could be. It is argued that conscious systems are limited globally by the ability to individuate information (where individuated information is understood as evolutionarily embedded, socially altered, and private), whereas local limitations should be determined on the basis of a hypothesis about the action-oriented nature of the processes that select states of consciousness. Using these constraints, an abstract concept of consciousness is arrived at, hopefully contributing to a more unified state of play within consciousness studies itself. (shrink)

The article’s aim is to clear the ground for the idea of aesthetic archaeology as an aesthetic analysis of remote artifacts divorced from aesthetic criticism. On the example of controversies surrounding the early Cycladic figures, it discusses an anxiety motivating the rejection of aesthetic inquiry in archaeology, namely, the anxiety about the heuristic reliability of one’s aesthetic instincts vis-à-vis remote artifacts. It introduces the claim that establishing an aesthetic mandate of a remote artifact should in the first place be part (...) of a quest after the norms of engagement an artifact’s kind signaled to the intended audience by its appearance. Rather than advocating for a new subdiscipline, the concept of aesthetic archaeology serves to bring into theoretical focus an aesthetic engagement with an artifact’s appearance under circumstances that rule out any acquired competence in distinguishing its aesthetic mandate perceptually—and thus rule out any aesthetic expertise. (shrink)

“Is every definition persuasive?” If essentialist views on definition are rejected and a pragmatic account adopted, where defining is a speech act which fixes the meaning of a term, then a problem arises: if meanings are not fixed by the essence of being itself, is not every definition persuasive? To address the problem, we refer to Douglas Walton’s impressive intellectual heritage—specifically on the argumentative potential of definition. In finding some non-persuasive definitions, we show not every definition is persuasive. The persuasiveness (...) lies not in syntactic or semantic properties, but the context. We present this pragmatic account and provide rules for analysing and evaluating persuasive definition—a promising direction for further research. (shrink)

Social norms can be understood as the grammar of social interaction. Like grammar in speech, they specify what is acceptable in a given context. But what are the specific rules that direct human compliance with the norm? This paper presents a quantitative model of self- and the other-perspective interaction based on a ‘quantum model of decision-making’, which can explain some of the ‘fallacies’ of the classical model of strategic choice. By connecting two fields of social science research—norms compliance, and strategic (...) decision-making—we aim to show how the novel quantum approach to the later can advance our understanding of the former. From the cacophony of different quantum models, we distill the minimal structure necessary to account for the known dynamics between the expectations and decisions of an actor. This model was designed for the strategic interaction of two players and successfully tested in the case of the one-shot Prisoners’ Dilemma game. Quantum models offer a new conceptual framework for examining the interaction between self- and other-perspective in the process of social interaction which enables us to specify how social norms influence individual behavior. (shrink)

For G a group definable in some structure M, we define notions of “definable” compactification of G and “definable” action of G on a compact space X , where the latter is under a definability of types assumption on M. We describe the universal definable compactification of G as View the MathML source and the universal definable G-ambit as the type space SG. We also point out the existence and uniqueness of “universal minimal definable G-flows”, and discuss issues of amenability (...) and extreme amenability in this definable category, with a characterization of the latter. For the sake of completeness we also describe the universal compactification and universal G-ambit in model-theoretic terms, when G is a topological group. (shrink)

System -- Black line, white surface -- Gilles Deleuze's diagram (complicated by a comparison to Immanuel Kant's schema) -- The extraordinary contraction -- Skin, aesthetics, incarnation : Deleuze's diagram of Francis Bacon : an epilogue.

In this paper, I present a critique of taxonomic pluralism, namely the view that there are multiple correct ways to classify entities into natural kinds within a given scientific domain. I argue that taxonomic pluralism, as an anti-essentialist position, fails to provide a realist alternative to taxonomic monism, i.e., the view that there is only one correct way to classify entities into natural kinds within a given scientific domain. To establish my argument, I first explain why the naturalist approach to (...) natural kinds adopted by pluralists requires them to give up the mind-independence criterion of reality presupposed by monists. Next, I survey two types of pluralist account. I argue that, while the modest pluralist account is not pluralistic enough, the radical pluralist account fails to come up with an alternative criterion of reality that is robust enough to differentiate its position from anti-realism about natural kinds. I conclude by drawing out the implications of my critique for the essentialism/anti-essentialism debate about natural kinds. (shrink)

Father Jakub Gorczyca, a Polish Jesuit, is a professor of philosophy at the Gregorian University in Rome. The subject of his particular concern is the set of problems encountered in philosophical anthropology, fundamental ethics and the philosophy of religion. Gorczyca draws philosophical inspiration from the intellectual tradition of Christianity, from phenomenology, and from the philosophy of dialogue.

The purpose of this article is to analyse world-view and mythological expressions in Russian and Soviet Constitutional acts that implicitly or explicitly refer to any kind of idea legitimising the shape of the state, its political system or the nature of political power. The object of the argument will be exclusively such provisions of fundamental laws which: having neither a purely regulatory nor a purely programmatic character, model mental representations of the world of the legal text by reference to ‘situationally (...) transcendent’ ideas in Mannheim’s sense ; justify the content of the legal provision by means of such imagery, without being part of the preamble or any different integral part of the Constitution, characterised by a different ontology of the text; justify the content of provisions linked to political power and/or the nature of the state. The materials of the analysis are: Fundamental Laws of the Russian Empire of 1906, the Constitutional texts of the Union of Soviet Socialist Republics of 1924, 1936 and 1977, and the current Constitution of the Russian Federation. Consecutive Constitutions of the Russian Soviet Federative Socialist Republic are also referred to. The analysed formulations, legally irrelevant in a conventional reading of a legal text, participate in the semiosis of both the provisions that contain them and the entire texts of the fundamental laws. In this way, the Constitutions incorporate into their complex of meanings either religious expressions, mythologised ideological figures or figures of historical memory associated with collective identity. (shrink)

In the first half of this paper, we present a fragment of relational syllogisms named RELSYLL consisting of quantified statements with a special set of numerical quantifiers, and introduce a number of concepts that are useful for the later sections, including indirect reduction, quantifier transformations and equivalence of syllogisms. After determining the valid and invalid syllogisms in RELSYLL, we then introduce two Derivation Methods which can be used to derive valid relational syllogisms based on known valid simple syllogisms. We also (...) show that the two Methods are sound and complete for RELSYLL. In the second half of this paper, we discuss ways to extend the Derivation Methods, including the use of more valid syllogisms and the use of existential assumptions. In this way, we are able to derive more relational syllogisms that contain other types of non-classical quantifiers, including “only” and proportional quantifiers. Finally, we state and prove a proposition concerning the relationship between the two Methods. (shrink)

The article presents a perspective on the scientific explanation of the subjectivity of conscious experience. It proposes plausible answers for two empirically valid questions: the ‘how’ question concerning the developmental mechanisms of subjectivity, and the ‘why’ question concerning its function. Biological individuation, which is acquired in several different stages, serves as a provisional description of how subjective perspectives may have evolved. To the extent that an individuated informational space seems the most efficient way for a given organism to select biologically (...) valuable information, subjectivity is deemed to constitute an adaptive response to informational overflow. One of the possible consequences of this view is that subjectivity might be (at least functionally) dissociated from consciousness, insofar as the former primarily facilitates selection, the latter action. (shrink)

Philosophical views of habit were deeply influenced by Aristotle. If we understand habit in relation to hexis, to the acquired disposition to act in a certain way, then habit becomes a key phenomenon of ethics. According to the famous quotation, "It makes no small difference, whether we form habits of one kind or of another from our very youth; it makes a very great difference, or rather all the difference."1 And yet we can understand habit also as a dull and (...) rigid mechanism, as something that moves us away from humanity, as we read in Immanuel Kant: "The reason for being disgusted with someone's acquired habits lies in the fact that the animal here predominates over the man."2 Is habit more an expression of our... (shrink)

The present book has the following structure: it proceeds chronologically in its main outline. Part II summarizes the philosophical background against which the distinction between internal and external relations emerged. Hegel and Bradley are addressed in Chapter 4. Russell and Moore—Wittgenstein's direct teachers—are the subject of Chapter 5. Part III is devoted to Wittgenstein's early writings. Chapter 6 distills the definition of the notions of internal and external relations from these texts. The subsequent chapters deal with the doctrine of external (...) relations, the nature of simple objects and the picture theory. Part IV deals with Wittgenstein's later writings from 1929 up to his death in 1951. Its structure is similar to the previous part. Chapter 10 provides some definitions of internal and external relations in these texts. The following chapters explore various themes from Wittgenstein's later philosophy in which the distinction between internal and external relations is important. Part IV begins with a discussion of intentionality and continues with rule-following, mathematics, colors, the standard meter, aspect-seeing, aesthetics and art. The concluding Part V gives the rationale for Wittgenstein’s method of analysis based on the distinction between internal and external relations. Internal relations do not—in the final analysis—belong to things; they are not constitutive of things. They are the means of representation of things. Internal relations can be—in an unattainable ideal—simply left behind. (shrink)