This article discusses the response which Hegel gives in his Lectures on the History of Philosophy to a problem which is first posed in his early writings. The problem is that of the possibility to comprehend the Absolute, the Infinity („Life” is the term Hegel uses in his Early Writings) using the reflexion as instrument. The later response is to see the concept (Begriff) in his speculative sense (in fact the form of absolute reflexion) as a spiritual, historical entity and (...) so, as tradition of representation (Vorstellung). The tradition of a thought is what marks the passage from dominative, intelectual thinking to integrative, reasonable thinking. (shrink)

My essay deals with two problems. First, I want to verify the possibility of a „non-metaphysical” perspective on Hegels writings and second, I want to answer the question „What kind of language is appropriate in order to express the speculative thought?”. I begin by discussing the Derrida’s view of Hegel as a metaphysician and then I try to give the alternative to his interpretation by analizing some pages fron Hegel’s Logic.

In what follows I intend to sketch the Hegelian project of the Philosophy of Religion (Religionsphilosophie) mainly by following two coordinates: on the one hand, my aim is to approach it starting from Hegel’s main “dialogue partners” – Christian Wolff and Kant – and from the critique of speculative philosophy on the scenarios of the Illuminist theologies. On the other hand, the first part completed, the discussion will pursue a different route, namely, that of a classical topic discussed by Hegel (...) in his lectures: the relation between philosophy and religion. I am trying to show how Hegel “solves” the tension between the two by lending it a hermeneutic dimension, thus opening up reflections on religion to the encyclopedic segment of the philosophy of spirit. (shrink)

We present a logical calculus for reasoning about information flow in quantum programs. In particular we introduce a dynamic logic that is capable of dealing with quantum measurements, unitary evolutions and entanglements in compound quantum systems. We give a syntax and a relational semantics in which we abstract away from phases and probabilities. We present a sound proof system for this logic, and we show how to characterize by logical means various forms of entanglement (e.g. the Bell states) and various (...) linear operators. As an example we sketch an analysis of the teleportation protocol. (shrink)

We construct logical languages which allow one to represent a variety of possible types of changes affecting the information states of agents in a multi-agent setting. We formalize these changes by defining a notion of epistemic program. The languages are two-sorted sets that contain not only sentences but also actions or programs. This is as in dynamic logic, and indeed our languages are not significantly more complicated than dynamic logics. But the semantics is more complicated. In general, the semantics of (...) an epistemic program is what we call aprogram model. This is a Kripke model of ‘actions’,representing the agents' uncertainty about the current action in a similar way that Kripke models of ‘states’ are commonly used in epistemic logic to represent the agents' uncertainty about the current state of the system. Program models induce changes affecting agents' information, which we represent as changes of the state model, called epistemic updates. Formally, an update consists of two operations: the first is called the update map, and it takes every state model to another state model, called the updated model; the second gives, for each input state model, a transition relation between the states of that model and the states of the updated model. Each variety of epistemic actions, such as public announcements or completely private announcements to groups, gives what we call an action signature, and then each family of action signatures gives a logical language. The construction of these languages is the main topic of this paper. We also mention the systems that capture the valid sentences of our logics. But we defer to a separate paper the completeness proof. (shrink)

We address the old question whether a logical understanding of Quantum Mechanics requires abandoning some of the principles of classical logic. Against Putnam and others (Among whom we may count or not E. W. Beth, depending on how we interpret some of his statements), our answer is a clear "no". Philosophically, our argument is based on combining a formal semantic approach, in the spirit of E. W. Beth's proposal of applying Tarski's semantical methods to the analysis of physical theories, with (...) an empirical-experimental approach to Logic, as advocated by both Beth and Putnam, but understood by us in the view of the operationalrealistic tradition of Jauch and Piron, i. e. as an investigation of "the logic of yes-no experiments" (or "questions"). Technically, we use the recently-developed setting of Quantum Dynamic Logic (Baltag and Smets 2005, 2008) to make explicit the operational meaning of quantum-mechanical concepts in our formal semantics. Based on our recent results (Baltag and Smets 2005), we show that the correct interpretation of quantum-logical connectives is dynamical, rather than purely propositional. We conclude that there is no contradiction between classical logic and (our dynamic reinterpretation of) quantum logic. Moreover, we argue that the Dynamic-Logical perspective leads to a better and deeper understanding of the "non-classicality" of quantum behavior than any perspective based on static Propositional Logic. (shrink)

Ancien élève de Heidegger, Alexandru Dragomir (1916-2002) est une figure atypique de la philosophie. Abandonnant l'idée d'une carrière universitaire après la Seconde guerre mondiale, il navigua d'un métier à un autre, refusant catégoriquement d'être publié de son vivant. Il laisse aujourd'hui à nos curiosités ses Banalités métaphysiques, extraites des cahiers dans lesquels il griffonait des notes à sa propre intention. Banalités métaphysiques est la première publication de ce philosophe hors norme, tiré malgré lui de son retrait volontaire.

We investigate the discrete (finite) case of the Popper–Renyi theory of conditional probability, introducing discrete conditional probabilistic models for knowledge and conditional belief, and comparing them with the more standard plausibility models. We also consider a related notion, that of safe belief, which is a weak (non-negatively introspective) type of “knowledge”. We develop a probabilistic version of this concept (“degree of safety”) and we analyze its role in games. We completely axiomatize the logic of conditional belief, knowledge and safe belief (...) over conditional probabilistic models. We develop a theory of probabilistic dynamic belief revision, introducing probabilistic “action models” and proposing a notion of probabilistic update product, that comes together with appropriate reduction laws. (shrink)

This paper discusses the reception of Frankfurt School critical theory in Communist Romania. After some opening remarks concerning the relevance of this topic, Section 2 sketches the evolving political and historical contexts that circumscribed this philosophical reception. The content and configuration of the Romanian reception of critical theory is then discussed in a double sequence: first (Section 3), by surveying and analysing the main clusters of arguments developed in these texts, which are filtered and classified into four categories: a) general (...) considerations and strategic approach to critical theory; b) positive assessments; c) philosophical critiques; d) politico-practical critiques. Then, Section 4 attempts to delineate the divergent paths adumbrated in this field of critical reception, which it illustrates through the specific authorial trajectories of the main Romanian interpreters (Tertulian, Marga and Tismăneanu). Finally, the concluding remarks are devoted to some brief comparative and historical considerations on the meaning, value and amplitude of this critical reception. (shrink)

We investigate the process of truth-seeking by iterated belief revision with higher-level doxastic information . We elaborate further on the main results in Baltag and Smets (Proceedings of TARK, 2009a , Proceedings of WOLLIC’09 LNAI 5514, 2009b ), applying them to the issue of convergence to truth . We study the conditions under which the belief revision induced by a series of truthful iterated upgrades eventually stabilizes on true beliefs. We give two different conditions ensuring that beliefs converge to “full” (...) (complete) truth , as well as a condition ensuring only that they converge to true (but not necessarily complete) beliefs. (shrink)

The article conveys the portrait of a man for whom understanding was a matter of the highest spiritual intimacy, a man who continuously disregarded his possible engagement in the public life as a philosopher, finally a man whom we find, in the twilight of his life, concerned with the intricate tension between the “muteness” of philosophy (as being able “only” to double life by means of rational discourse) and religion. Alexandru Dragomir’s portrait is portrayed in comparison to another important (...) Romanian philosopher, Constantin Noica. The comparison is not accidental, since they both come to represent two paradigmatic ways of making philosophy: traditional ontology (centered around Descartes – Kant – Hegel) vs. modern phenomenology (centered around Husserl – Heidegger). (shrink)

We formalise a notion of dynamic rationality in terms of a logic of conditional beliefs on plausibility models. Similarly to other epistemic statements, dynamic rationality changes its meaning after every act of learning, and it may become true after players learn it is false. Applying this to extensive games, we "simulate" the play of a game as a succession of dynamic updates of the original plausibility model: the epistemic situation when a given node is reached can be thought of as (...) the result of a joint act of learning that the node is reached. We then use the notion of "stable belief, i.e. belief that is preserved during the play of the game, in order to give an epistemic condition for backward induction: rationality and common knowledge of stable belief in rationality. This condition is weaker than Aumann's and compatible with the implicit assumptions underlying Stalnaker's criticism of Aumann's proof. The "dynamic" nature of our concept of rationality explains why our condition avoids the apparent circularity of the "backward induction paradox": it is consistent to believe in a player's rationality after updating with his irrationality. (shrink)

This paper presents a simple decidable logic of functional dependence LFD, based on an extension of classical propositional logic with dependence atoms plus dependence quantifiers treated as modalities, within the setting of generalized assignment semantics for first order logic. The expressive strength, complete proof calculus and meta-properties of LFD are explored. Various language extensions are presented as well, up to undecidable modal-style logics for independence and dynamic logics of changing dependence models. Finally, more concrete settings for dependence are discussed: continuous (...) dependence in topological models, linear dependence in vector spaces, and temporal dependence in dynamical systems and games. (shrink)

According to the social contract theory, in order to achieve justice, people grouped themselves in societies. Historically speaking, judges appeared long before the legislator which means that justice was the first element of the social life. Therefore, it expresses the social ethics of a particular time and requires a minimum of credibility. Excessive pragmatism and utilitarianism have kidnapped more and more of what is humane, superior and sacred in the act of justice, and “secularized” it. As Eliade said in The (...) Sacred and the Profane, the sacred is something which is totally different, a space of radical otherness which overshadows the physical territory. This shading manifests itself through limitation, sequencing, reiteration and keeping what is sacred there, even in a courtroom, through ritualization. (shrink)

Can we still talk today about a therapeutically dimension of philosophy? To what extent does Heidegger's philosophy exhibit such a dimension? And how can we reconcile this aspect of Heidegger's thought with his political involvement in 1933? These are some of the questions starting from which I will try to show that Heidegger's philosophical thought presupposes indeed a therapeutic that the thinker assumed even in his own life, a life that is not reducible to his 'unforgivable failure' in 1933. I (...) will begin with an account of Being and Time's existential analytic, the main thread of which is the distinction between Dasein's authenticity and inauthenticity. Next I will try to grasp some of the importance of Heidegger's investigation regarding Dasein's determination as a 'thinker and speaker of being (Sein)', that is, regarding ec-sistence. I will then try to account for the meaning of the 'question regarding technology' and implicitly Heidegger's solution regarding overcoming the condition of a 'gregarious slave of Ge-stell' through cultivation of the so-called 'poetic theology.' I will conclude by signaling some life-file elements of the 'faithless monk from the Black Forest' (as Heidegger is sometimes called), elements that signal a certain correspondence between the philosopher's life and the therapeutic aspect present implicitly in his philosophy. (shrink)

In this paper we aim to examine a novel view on distributive justice, i.e. limitarianism, which claims that it is morally impermissible to be rich. Our main goal is to assess the two arguments provided by Ingrid Robeyns in favour of limitarianism, namely the democratic argument and the argument from unmet urgent needs and the two distinct limitarian views which these arguments give rise to. We claim that strong limitarianism, which is supported by the democratic argument, should be rejected as (...) it fails to fully instantiate the value of political equality, while having some other unattractive implications as well. By contrast, we argue that weak limitarianism, which is supported by the argument from unmet urgent needs, should be endorsed, albeit in a qualified version which also takes responsibility constraints into consideration. (shrink)

In this paper we show how ideas coming from two areas of research in logic can reinforce each other. The first such line of inquiry concerns the "dynamic turn" in logic and especially the formalisms inspired by Propositional Dynamic Logic (PDL); while the second line concerns research into the logical foundations of Quantum Physics, and in particular the area known as Operational Quantum Logic, as developed by Jauch and Piron (Helve Phys Acta 42: 842-848, 1969), Pirón (Foundations of Quantum Physics, (...) 1976). By bringing these areas together we explain the basic ingredients of Dynamic Quantum Logic, a new direction of research in the logical foundations of physics. (shrink)

In this paper, we investigate the social herding phenomenon known as informational cascades, in which sequential inter-agent communication might lead to epistemic failures at group level, despite availability of information that should be sufficient to track the truth. We model an example of a cascade, and check the correctness of the individual reasoning of each agent involved, using two alternative logical settings: an existing probabilistic dynamic epistemic logic, and our own novel logic for counting evidence. Based on this analysis, we (...) conclude that cascades are not only likely to occur but are sometimes unavoidable by "rational" means: in some situations, the group’s inability to track the truth is the direct consequence of each agent’s rational attempt at individual truth-tracking. Moreover, our analysis shows that this is even so when rationality includes unbounded higher-order reasoning powers, as well as when it includes simpler, non-Bayesian forms of heuristic reasoning. (shrink)

This paper aims to show that there is a lot of philosophy in the philosophy of chemistry—not only in the problems and questions specific to chemistry, which this science brings up in philosophical discussions, but also in the topics of wider interest like reductionism and emergence, for which chemistry proves to be an ideal case study. The fact that chemical entities and properties are amenable to a quantitative understanding, to measurement and experiment to a greater extent than those in psychology (...) or biology, makes chemistry an ideal case study for those interested in reductionism and emergence. (shrink)

We take a logical approach to threshold models, used to study the diffusion of opinions, new technologies, infections, or behaviors in social networks. Threshold models consist of a network graph of agents connected by a social relationship and a threshold value which regulates the diffusion process. Agents adopt a new behavior/product/opinion when the proportion of their neighbors who have already adopted it meets the threshold. Under this diffusion policy, threshold models develop dynamically towards a guaranteed fixed point. We construct a (...) minimal dynamic propositional logic to describe the threshold dynamics and show that the logic is sound and complete. We then extend this framework with an epistemic dimension and investigate how information about more distant neighbors’ behavior allows agents to anticipate changes in behavior of their closer neighbors. Overall, our logical formalism captures the interplay between the epistemic and social dimensions in social networks. (shrink)

In this article I aim to provide the first normative discussion of barter voting markets, namely markets which allow the trading of votes on issues/elections for votes on other issues/elections. The article is framed within the wider literature on the legal permissibility of vote buying, with a particular focus on the recent debate between Christopher Freiman and James Stacey Taylor. I argue that while Taylor's objections successfully defeat Freiman's case in favour of standard voting markets, they are unable to also (...) defeat the type of voting markets outlined here. Furthermore, I argue that there are at least two plausible prima facie reasons in favour of barter voting markets, grounded in their capacity to contribute to the alleviation of injustice for systematically disadvantaged socio‐economic groups and to their capacity to reduce one form of bad voting, i.e. voting from ignorance. (shrink)

In this article I aim to offer a first critical assessment of the most prominent arguments in favour of restricting the voting rights of senior citizens. The first argument discussed, most thoroughly articulated by van Parijs, maintains that intergenerational justice would be improved under schemes which restrict the voting rights of senior citizens, thereby diminishing their overall electoral weight. The second argument, reconstructed from Lau's defence of child enfranchisement, maintains that the cognitive decline associated with the process of aging should (...) lead us to treat children and senior citizens identically in respect to electoral rights; thus, if we agree that children should not have the right to vote, consistency dictates that senior citizens should be disenfranchised as well. I respond to these arguments with several objections, arguing that the former relies on a number of faulty empirical premises and has deeply unattractive implications for enfranchisement once consistently applied, and that the latter fails to make empirically salient distinctions between children and senior citizens when it comes to the political domain. (shrink)

In this annotated critical edition of Aristotle’s Metaphysics Lambda Stefan Alexandru draws upon many hitherto unexplored sources of the direct and indirect tradition, inter alia upon an independent Greek manuscript he has discovered in the Vatican Library.

If the absence and disappearance of the body have enjoyed considerable attention in the social sciences, the same cannot be said about its appearance, other than during dysfunctional states such as pain and illness. The present article draws from a large array of phenomenological studies and presents a situation in which the body comes to the fore in one’s consciousness during the learning of combat sports, a seemingly destructive practice. The argument that I will develop, starting from extensive ethnographic research (...) in two distinctive combat sports, is that every type of bodily practice develops a specific type of reflective body awareness that has a significant impact upon both the way we feel our bodies and the way we feel the world. In other words, what we do with and to our bodies shapes the way we see and experience the world. (shrink)

We propose a new model for forming and revising beliefs about unknown probabilities. To go beyond what is known with certainty and represent the agent’s beliefs about probability, we consider a plausibility map, associating to each possible distribution a plausibility ranking. Beliefs are defined as in Belief Revision Theory, in terms of truth in the most plausible worlds. We consider two forms of conditioning or belief update, corresponding to the acquisition of two types of information: learning observable evidence obtained by (...) repeated sampling from the unknown distribution; and learning higher-order information about the distribution. The first changes only the plausibility map, but leaves the given set of possible distributions essentially unchanged; the second rules out some distributions, thus shrinking the set of possibilities, without changing their plausibility ordering.. We look at stability of beliefs under either of these types of learning, defining two related notions, as well as a measure of the verisimilitude of a given plausibility model. We prove a number of convergence results, showing how our agent’s beliefs track the true probability after repeated sampling, and how she eventually gains in a sense knowledge of that true probability. Finally, we sketch the contours of a dynamic doxastic logic for statistical learning. (shrink)

In the wake of 9/11 and the assessment of Iraq's WMD, several inquiries placed the blame primarily on the Intelligence Community. Part of the reform that followed was a codification of analytic tradecraft standards into Intelligence Community Directive (ICD) 203 and the appointment of an analytic ombudsman in the newly created Office of the Director of National Intelligence charged with monitoring the quality of analytic products from across the intelligence community. In this paper we identify three assumptions behind ICD203: (1) (...) tradecraft standards can be employed consistently; (2) tradecraft standards sufficiently capture the key elements of good reasoning; (3) good reasoning leads to more accurate judgments. We then report on two controlled experiments that uncover operational constraints in the reliable application of the ICD203 criteria for the assessment of intelligence products. Despite criticisms of the post-9/11 and post-Iraq reform, our results highlight that ICD203, properly applied, holds potential to improve precision and accountability of intelligence processes and products. (shrink)

We present a complete, decidable logic for reasoning about a notion of completely trustworthy evidence and its relations to justifiable belief and knowledge, as well as to their explicit justifications. This logic makes use of a number of evidence-related notions such as availability, admissibility, and “goodness” of a piece of evidence, and is based on an innovative modification of the Fitting semantics for Artemovʼs Justification Logic designed to preempt Gettier-type counterexamples. We combine this with ideas from belief revision and awareness (...) logics to provide an account for explicitly justified knowledge based on conclusive evidence that addresses the problem of omniscience. (shrink)

In this paper I aim to examine some problematic implications of the fact that individuals are prone to making systematic reasoning errors, for resource egalitarianism. I begin by disentangling the concepts of preferences, choices and ambitions, which are sometimes used interchangeably by egalitarians. Subsequently, I claim that the most plausible interpretation of resource egalitarianism takes preferences, not choices, as the site of responsibility. This distinction is salient, since preference-sensitive resource egalitarianism is faced with an important objection when applied to situations (...) in which the empirically reasonable assumption that individuals have different degrees of computational abilities is introduced. I first show that this objection can be raised in cases involving individuals who have incomplete information, but that it ultimately fails for such cases since we can appeal to higher order insurance markets in order to mitigate any initial concerns. I further claim, however, that the objection is much more powerful in cases involving individuals who have different reasoning skills, since the appeal to higher order insurance markets is no longer tenable. Consequently, the ideal principle of justice proposed by Dworkin is met with a new feasibility challenge. Finally, I claim that the problem of reasoning errors and various forms of cognitive biases also affect Dworkin’s non-ideal principle of justice, skewing the outputs of the hypothetical insurance mechanism in an unjustifiable manner. (shrink)

This article relates two forms of political and cultural marginality and emancipation to a third one, which, in traditional patriarchal cultures, is the embodiment of marginality par excellence: that of the female self. It explores their similar positioning in the spatial and temporal economy of power relations in a detailed analysis of Irina Grigorescu Pana's novel Melbourne Sundays, a fictionallyrical account of the Romanian author's 11-year exile in Australia, read as a narrative counterpart of her critical approach to exile in (...) The Tomis Complex: Exile and Eros in Australian Literature. These two works describe an experience happening at the intersection between the author's national background – that of Romania – and the postcolonial one of her country of adoption – Australia – as they become relevant from her personal and professional experience as a woman writer. Exile is thus reflected in language, being spatially constructed by means of metaphors such as book, theatre, carnival, garden, which are also relevant for the process of identity formation. The argument mainly relies on Kristeva's theories, an approach motivated by Pana's own choice of the Kristevan discourse of love/hate in relation to the theme of exile in her fictional and critical works, since, as she remarks, exiles and lovers share a marginal, though at the same time essential, position in postcolonial cultures. (shrink)

Built in between the end of the nineteenth century and the beginning of the twentieth century in a mountainous region in Romania, the Peleş Castle and its gardens were conceived according to the mid sixteenth and early seventeenth centuries landscape design principles. Thus, the surrounding landscape, the park and gardens at the royal residence in Sinaia make up an overall image of a Mannerist landscape in which the Villa or, in this case, the castle, is integrated in a complex allegorical, (...) alchemical and political programme. To explore this chronologically incongruent design and to explore gardening principles perhaps invisible in plain sight for modern eyes, the following study aims to emphasize the presence of early modern Western European gardens in the design of the park and gardens at Peleş. This analysis will also reveal the various ways in which, by manipulating nature according to Late Renaissance and Mannerism principles, nature was staged to achieve political goals. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

In this paper I aim to provide a novel account of the Democratic Argument for limitarianism. I first claim that the standard version of this argument is questionable due to its reliance on a problematic central premise, namely that excessive wealth damages democracy because of its detrimental impact on political equality. Subsequently, I relocate the fundamental democratic worry in regard to excessive wealth in the process of backsliding, and more specifically in the relation between excessive wealth and political polarization. I (...) then offer a new account of the Democratic Argument for limitarianism which envisages wealth capping as instrumental for democratic resilience, but I maintain that the argument is not unambiguously successful. (shrink)

We propose a refinement of STIT logic to make it suitable to model causal agency and responsibility in basic multi-agent scenarios in which agents can interfere with one another. We do this by supplementing STIT semantics, first, with action types and, second, with a relation of opposing between action types. We exploit these novel elements to represent a test for potential causation, based on an intuitive notion of expected result of an action, and two tests for actual causation from the (...) legal literature, i.e. the but-for and the NESS tests. We then introduce three new STIT operators modeling corresponding notions of causal responsibility, which we call potential, strong, and plain responsibility, and use them to provide a fine-grained analysis of a number of case studies involving both individual agents and groups. (shrink)

Human enhancement technologies offer prospects for improving the mental capacities that are typically considered to ground moral status. Bioethicists, posthumanists and transhumanists have raised the worry that the radical enhancement of our moral status-relevant capacities is open to the possibility of creating supra-persons. The worry is that supra-persons would further reduce the moral inviolability of mere persons. If the possibility is plausible, then radical enhancement would put mere persons at risk. In order to assess the plausibility of possibility claims, epistemologists (...) have investigated the role of imagination in justifying our beliefs about what is possible. Philosophy has abounded with imaginability arguments for various entities like zombies, experience machines, super-spartans, and perfect actors. The aim of this paper is to investigate a newcomer in the bestiary of bioethics, the supra-person, using the utensils of imaginability-based modal epistemology. We will argue for an epistemic claim: that no imaginative act is sufficient to justify the belief that supra-persons are possible. In order to support our thesis, we will employ two influential accounts of the relation between imaginative acts and acquiring justification for beliefs about what is possible. (shrink)

Since Kaplan : 81–98, 1979) first provided a logic for context-sensitive expressions, it has been thought that the only way to construct a logic for indexicals is to restrict it to arguments which take place in a single context— that is, instantaneous arguments, uttered by a single speaker, in a single place, etc. In this paper, I propose a logic which does away with these restrictions, and thus places arguments where they belong, in real world conversations. The central innovation is (...) that validity depends not just on the sentences in the argument, but also on certain abstract relations between contexts. This enrichment of the notion of logical form leads to some seemingly counter-intuitive results: a sequence of sentences may make up a valid argument in one sequence of contexts, and an invalid one in another such sequence. I argue that this is an unavoidable result of context sensitivity in general, and of the nature of indexicals in particular, and that reflection on such examples will lead us to a better understanding of the idea of applying logic to context sensitive expressions, and thus to natural language in general. (shrink)