Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested (...) in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body. (shrink)

This book offers the fullest and most sophisticated account of Gert's influential moral theory, a model first articulated in the classic work The Moral Rules: A New Rational Foundation for Morality, published in 1970. In this final revision, Gert makes clear that the moral rules are only one part of an informal system that does not provide unique answers to every moral question but does always provide a range of morally acceptable options. A new chapter on reasons includes (...) an account of what makes one reason better than another and a second new chapter is devoted to the question of justifying violations of the rules. Moral impartiality, the moral ideals, and virtue and vice, are all treated in greater detail. Throughout, Gert attempts to answer all of the challenges that his work has provoked. (shrink)

It is widely thought that functionalism and the qualia theory are better positioned to accommodate the ‘affective’ aspect of pain phenomenology than representationalism. In this paper, we attempt to overturn this opinion by raising problems for both functionalism and the qualia theory on this score. With regard to functionalism, we argue that it gets the order of explanation wrong: pain experience gives rise to the effects it does because it hurts, and not the other way around. With regard to the (...) qualia theory, we argue that it fails to capture the sense in which pain 's affective phenomenology rationalises various bodily-directed beliefs, desires, and behaviours. Representationalism, in contrast, escapes both of these problems: it gets the order of explanation right and it explains how pain 's affective phenomenology can rationalise bodily-directed beliefs, desires, and behaviours. For this reason, we argue that representationalism has a significant advantage in the debates about pain 's affective phenomenology. We end the paper by examining objections, including the question of what representationalists should say about so-called ‘disassociation cases’, such as pain asymbolia. (shrink)

An updated and expanded successor to Culver and Gert's Philosophy in Medicine, this book integrates moral philosophy with clinical medicine to present a comprehensive summary of the theory, concepts, and lines of reasoning underlying the ...

Gert Scobel zeigt in seinem kenntnisreichen Buch, dass uns heute kaum etwas so sehr fehlt wie Weisheit: Im Umgang mit der Welt, mit anderen und uns selbst. Denn in unserer immer komplexer werdenden Umwelt, die uns mit Widersprüchen ebenso konfrontiert wie mit immer mehr Faktenwissen, brauchen wir Orientierung. Doch die fehlt. Und Weisheit stellt sich auch im Alter nicht von selbst ein. Gert Scobel belegt fundiert, dass man sie erlernen kann - und sollte. Dabei speist sich die Gelassenheit, (...) von der der Autor spricht, nicht aus esoterischen Höhenflügen, die oft mit einer unsanften Bauchlandung enden. Vielmehr ist sie inspiriert von den Lehren des Buddhismus, die Scobel überraschend mit der westlichen Geistesgeschichte versöhnt. Er verfolgt die Weisheit bis zu ihren Ursprüngen, ins Mittelalter und in den fernen Osten. Das Buch bringt uns aber auch die neusten Erkenntnisse zur Weisheit aus Psychologie, Neurowissenschaften, Biologie, Glücks- und Komplexitätsforschung nahe. Entstanden ist die faszinierende und anschaulich erzählte Geschichte einer Geisteshaltung, die sich nicht nur unterhaltsam und spannend liest, sondern auch mit großem persönlichem Gewinn. Denn Weisheit ist die Grundvoraussetzung für ein sinnvolles und geglücktes Leben. (shrink)

The second volume in Joel Feinberg's series The Moral Limits of the Criminal Law, Offense to Others focuses on the "offense principle," which maintains that preventing shock, disgust, or revulsion is always a morally relevant reason for legal prohibitions. Feinberg clarifies the concept of an "offended mental state" and further contrasts the concept of offense with harm. He also considers the law of nuisance as a model for statutes creating "morals offenses," showing its inadequacy as a model for understanding "profound (...) offenses," and discusses such issues as obscene words and social policy, pornography and the Constitution, and the differences between minor and profound offenses. (shrink)

Moral problems do not always come in the form of great social controversies. More often, the moral decisions we make are made quietly, constantly, and within the context of everyday activities and quotidian dilemmas. Indeed, these smaller decisions are based on a moral foundation that few of us ever stop to think about but which guides our every action. Here distinguished philosopher Bernard Gert presents a clear and concise introduction to what he calls "common morality" -- the moral system (...) that most thoughtful people implicitly use when making everyday, common sense moral decisions and judgments. Common Morality is useful in that -- while not resolving every disagreement on controversial issues -- it is able to distinguish between acceptable and unacceptable answers to moral problems. In the first part of the book Gert lays out the fundamental features of common morality: moral rules, moral ideals, and a two-step procedure for determining when a violation of a moral rule is justified. Written in a non-technical style, the ten general moral rules include rules on which everyone can agree, such as "do not kill," "do not deceive," and "keep your promises." The moral ideals include similarly uncontroversial precepts such as "Relieve pain" and "Aid the needy." In the second part of the book Gert examines the underlying concepts that justify common morality, such as the notions of rationality and impartiality. The distillation of over 40 years of scholarship, this book is the most accessible version of Gert's influential theory of morality as well as an eye-opening look at the moral foundations of our everyday actions. Throughout the discussion is clear enough for a reader with little or no philosophy background. (shrink)

A popular “Reductionist” account of personal identity unifies person stages into persons in virtue of their psychological continuity with one another. One objection to psychological continuity accounts is that there is more to our personal identity than just mere psychological continuity: there is also an active process of self-interpretation and self-creation. This criticism can be used to motivate a rival account of personal identity that appeals to the notion of a narrative. To the extent that they comment upon the issue, (...) proponents of narrative accounts typically reject Reductionist metaphysics that (ontologically) reduce persons to aggregates of person stages. In contrast to this trend, we seek to develop a narrative account of personal identity from within Reductionist metaphysics: we think person stages are unified into persons in virtue of their narrative continuity with one another. We argue that this Reductionist version of the narrative account avoids some serious problems facing non-Reductionist versions of the narrative account. (shrink)

Representationalism is the position that the phenomenal character of a perceptual experience supervenes upon its representational content. The phenomenon of blurry vision is thought to raise a difficulty for this position. More specifically, it is alleged that representationalists cannot account for the phenomenal difference between clearly seeing an indistinct edge and blurrily seeing a distinct edge solely in terms of represented features of the surrounding environment. I defend representationalism from this objection by offering a novel account of the phenomenal difference (...) between these two kinds of cases. (shrink)

I develop a new theory of properties by considering two central arguments in the debate whether properties are dispositional or categorical. The first claims that objects must possess categorical properties in order to be distinct from empty space. The second argument, however, points out several untoward consequences of positing categorical properties. I explore these arguments and argue that despite appearances, their conclusions need not be in conflict with one another. In particular, we can view the second argument as supporting only (...) the claim that there is not a plurality of categorical properties, and not the stronger claim that there are no categorical properties whatsoever. I then develop a new account of properties which capitalizes on this insight. (shrink)

Prologue: on the weakness of education -- Creativity -- Communication -- Teaching -- Learning -- Emancipation -- Democracy -- Virtuosity -- Epilogue: for a pedagogy of the event -- Appendix: coming into the world, uniqueness, and the beautiful risk of education: an interview with Gert Biesta by Philip Winter.

There is an expansion of empirical research that at its core is an attempt to quantify the "feely" aspects of living in raced (and other stigmatized) bodies. This research is offered as part concession, part insistence on the reality of the "special" circumstances of living in raced bodies. While this move has the potential of making headway in debates about the character of racism and the unique nature of the harms of contemporary racism--through an analysis of stereotype threat research, microaggression (...) research, and the reception of both discourses--I will argue that this scientization of the phenomenology of race and racism also stalls progress on the most significant challenges for the current conversation about race and racism: how to listen and how to be heard. (shrink)

The special and unique attitudes that we take towards events in our futures/pasts—e.g., attitudes like the dread of an impeding pain—create a challenge for “Reductionist” accounts that reduce persons to aggregates of interconnected person stages: if the person stage currently dreading tomorrow’s pain is numerically distinct from the person stage that will actually suffer the pain, what reason could the current person stage have for thinking of that future pain as being his? One reason everyday subjects believe they have a (...) substantially extended temporal existence stems from introspection—they introspectively experience their selves as being temporally extended. In this paper, I examine whether a Reductionist about personal identity can co-opt this explanation. Using Galen Strawson’s recent work on self-experience as a resource, I reach both a negative and a positive conclusion about the prospects of such a position. First, the relevant kind of self-experience—i.e., the introspective experience of one’s self as being a substantially temporally extended entity—will not automatically arise within a person stage simply in virtue of that stage being psychologically connected to/continuous with other person stages. Second, the relevant kind of self-experience will arise, however, in virtue of person stages weaving together their respective experiences, actions, etc. via a narrative. This positive conclusion points towards a new Reductionist position that focuses upon a narrative, and not mere psychological continuity, in attempting to justify the special attitudes we take towards events in our futures/pasts. (shrink)

Existentialist accounts maintain that visual phenomenal content takes the logical form of an existentially quantified sentence. These accounts do not make phenomenal content specific enough. Singularist accounts posit a singular content in which the seen object is a constituent. These accounts make phenomenal content too specific. My account gets the specificity of visual phenomenal content just right. My account begins with John Searle's suggestion that visual experience represents an object as seen, moves this relation outside the scope of the existential (...) quantifier and then replaces it with the relation of objects being ‘present as accessible’, as described by Alva Noë. (shrink)

One critique of experimental philosophy is that the intuitions of the philosophically untutored should be accorded little to no weight; instead, only the intuitions of professional philosophers should matter. In response to this critique, “experimentalists” often claim that the intuitions of professional philosophers are biased. In this paper, we explore this question of whose intuitions should be disqualified and why. Much of the literature on this issue focuses on the question of whether the intuitions of professional philosophers are reliable. In (...) contrast, we instead focus on the idea of “muddled” intuitions—i.e. intuitions that are misdirected and about notions other than the ones under discussion. We argue that the philosophically untutored are likely to have muddled intuitions and that professional philosophers are likely to have unmuddled intuitions. Although being umuddled does not, by itself, establish the reliability of the intuitions of professional philosophers, being muddled is enough to disqualify the intuitions of the philosophically untutored. We then turn to the charge that, despite being unmuddled, professional philosophers still have biased intuitions. To evaluate this charge, we switch focus from the general notion of biased intuition to the more specific notion of theory-laden intuition. We argue that there is prima facie evidence—in the form of the presence of conflicts of intuition—for thinking that at least some of the intuitions of professional philosophers are theory-laden. In summary, we conclude that that there is no clean and easy answer to the question of whose intuitions should matter. (shrink)

One popular materialist response to the explanatory gap identifies phenomenal concepts with type-demonstrative concepts. This kind of response, however, faces a serious challenge: that our phenomenal concepts seem to provide a richer characterization of their referents than just the demonstrative characterization of 'that quality'. In this paper, I develop a materialist account that beefs up the contents of phenomenal concepts while retaining the idea that these contents contain demonstrative elements. I illustrate this account by focusing on our phenomenal concepts of (...) phenomenal colour. The phenomenal colours stand in a similarity space relative to one another in virtue of being complex qualities—qualities that contain saturation, lightness, and various aspects of hue as component elements. Our phenomenal concepts, in turn, provide a demonstrative characterization of each of these component elements as well as a description of how much of that element is present in a given phenomenal colour. The result is an account where phenomenal concepts contain demonstrative elements and yet provide a significantly richer characterization of the intrinsic nature of their referents than just 'that quality'. (shrink)

When did the concept of model begin to be used in mathematics? This question appears at first somewhat surprising since “model” is such a standard term now in the discourse on mathematics and “modelling” such a standard activity that it seems to be well established since long. The paper shows that the term— in the intended epistemological meaning—emerged rather recently and tries to reveal in which mathematical contexts it became established. The paper discusses various layers of argumentations and reflections in (...) order to unravel and reach the pertinent kernel of the issue. The specific points of this paper are the difference in the epistemological concept to the usually discussed notions of model and the difference between conceptions implied in mathematical practices and their becoming conscious in proper reflections of mathematicians. (shrink)

Proper procedures for informed consent are widely recognized as an ethical requirement for biomedical research involving human beings, in particular as a means to respect the autonomy and personal integrity of potential and actual research participants.

In den sozialwissenschaftlichen und sozialtheoretischen Diskussionen ruckt nach einer langeren Interimszeit wieder zunehmend die Frage nach den Konstitutionsbedingungen des Sozialen, von Sozialitat bzw. sozialen Gebilden in den Vordergrund.

The problem with authenticity—the idea of being “true to one’s self”—is that its somewhat checkered reputation garners a complete range of favorable and unfavorable reactions. In educational settings, authenticity is lauded as one of the top two traits students desire in their teachers. Yet, authenticity is criticized for its tendency towards narcissism and self-entitlement. So, is authenticity a good or a bad thing? The purpose of this article is to develop an intimate understanding of authenticity by investigating its current interpretation (...) and criticisms, its struggle with narcissism and relation to freedom. Examining authenticity as multilayered self-exploration reveals a composite of understanding, care, and acceptance. While a side current of acceptable tension shifts our understanding of authenticity from the security of self-determination to the messy interplay involved in being “true to one’s self” and being “in-the-world”. (shrink)

This chapter articulates how people understand “microaggression” and offers a clarifying augmentation of that account. It attempts to define disability, and then talk through how analysis connects with the very few discussions of microaggressions within the context of disability. The chapter introduces the case of “Disabled But Not Really.” It leverages previous analysis to show how microaggressions’ mixed legibility is crucial to their role in maintaining an epistemology that polices disability in general and disabled people in particular. The chapter discusses (...) the ramifications this has for future analysis of both microaggressions and disability. It highlights the specific challenges faced by persons at the junction of multiple oppressed identities. Ontologically, the commitment is the rejection of the medical model of disability where “disabilities are just particular kinds of bodily malfunction”. The focus within that ontological analysis is primarily concerned with the social/political consequences of disability. (shrink)

Gert Biesta; How General Can Bildung Be? Reflections on the Future of a Modern Educational Ideal, Journal of Philosophy of Education, Volume 36, Issue 3, 16 Dec.

This is the first book to offer a philosophical engagement with microaggressions. It aims to provide an intersectional analysis of microaggressions that cuts across multiple dimensions of oppression and marginalization, and to engage a variety of perspectives that have been sidelined within the discipline of philosophy. The volume gathers a diverse group of contributors: philosophers of color, philosophers with disabilities, philosophers of various nationalities and ethnicities, and philosophers of several gender identities. Their unique frames of analysis articulate both how the (...) concept of microaggressions can be used to clarify and sharpen our understanding of subtler aspects of oppression and how analysis, expansion, and reconceiving the notion of a microaggression can deepen and extend its explanatory power. The essays in the volume seek to defend microaggressions from common critiques and to explain their impact beyond the context of college students. Some of the guiding questions that this volume explores include, but are not limited to, the following: Can microaggressions be established as a viable scientific concept? What roles do microaggressions play in other oppressive phenomena like transphobia, fat phobia, and abelism? How can epistemological challenges around microaggressions be addressed via feminist theory, critical race theory, disability theory, or epistemologies of ignorance? What insights can be gleaned from intersectional analyses of microaggressions? Are there domain-specific analyses of microaggressions that would give insight to features of that domain, i.e. microaggressions related to sexuality, athletics, immigration status, national origin, body type, or ability. Microaggressions and Philosophyfeatures cutting-edge research on an important topic that will appeal to a wide range of students and scholars across disciplines. It includes perspectives from philosophy of psychology, empirically informed philosophy, feminist philosophy, critical race theory, disability theory, philosophy of language, philosophy of science, and social and political philosophy. (shrink)

In seeing a tilted penny, we are experientially aware of both its circularity and another shape, which I dub ‘β‐ellipticality’. Some claim that our experiential awareness of the intrinsic shapes/sizes of everyday objects depends upon our experiential awareness of β‐shapes/β‐sizes. In contrast, I maintain that β‐property experiences are the result of what Richard Wollheim calls ‘seeing‐in’, but run in reverse: instead of seeing a three‐dimensional object in a flat surface, we see a flat surface in a three‐dimensional object. Using this (...) new account, I re‐examine the phenomenological directness of visual experience and undermine an argument for skepticism about β‐property experiences. (shrink)

One controversial position in the debate over dispositional and categorical properties maintains that our concepts of these properties are the result of partially considering unitary properties that are both dispositional and categorical. As one of its defenders (Heil 2005, p. 351) admits, this position is typically met with “incredulous stares”. In this paper, I examine whether such a reaction is warranted. This thesis about properties is an instance of what I call “the Partial Consideration Strategy”—i.e., the strategy of claiming that (...) what were formerly thought of as distinct entities are actually a unified entity, partially considered. By evaluating its use in other debates, I uncover a multi-layered prima facie case against the use of the Partial Consideration Strategy in the dispositional/categorical properties debate. In closing, I describe how the Partial Consideration Strategy can be reworked in a way that would allow it to sidestep this prima facie case. (shrink)

According to memory foundationalism, seeming to remember that P is prima facie justification for believing that P. There is a common objection to this theory: If I previously believed that P carelessly (i.e. without justification) and later seem to remember that P, then (according to memory foundationalism) I have somehow acquired justification for a previously unjustified belief. In this paper, I explore this objection. I begin by distinguishing between two versions of it: One where I seem to remember that P (...) while also seeming to remember being careless in my original believing that P and the other where I seem to remember that P while not seeming to remember my past carelessness. I argue that the former case is the real challenge for memory foundationalism. After establishing the case of unforgotten carelessness as objection to memory foundationalism, I recast memory foundationalism in way that allows it to escape this objection. (shrink)

Angesichts des vielfach diagnostizierten Ausmaßes der Zerstörung des Planeten Erde wird aktuell viel über die Notwendigkeit der Neuzusammensetzung des lebendigen Sozialen nachgedacht. Als Alternative zur klassischen Anrufung der Gesellschaft und den von ihr einzuleitenden Maßnahmen gegen den drohenden Untergang wird auf neu zu erschaffende Kollektive gesetzt, die sowohl menschliche als auch nichtmenschliche Akteure umfassen. Diese neuen Kollektive sollen sich durch Bündnisse, Symbiosen, Kooperationen, Assoziationen und Verträge konstituieren. Vergleichbar werden die im Detail verschiedenen, insgesamt aber posthumanistisch ausgerichteten Vorschläge, durch ihren gemeinsamen (...) Ausgangspunkt der verletzten Erde, für die Rettungsmaßnahmen in Gang gesetzt werden sollen: Bündnisse, die Gaia stiftet - im Angesicht der drohenden Gefahr! Im Mittelpunkt der Überlegungen von Lynn Margulis, Michel Serres, Bruno Latour und Donna Haraway, die im Folgenden diskutiert werden sollen, steht die Suche nach der Verbindung und Kooperation mit anderen als nur menschlichen Lebewesen. Die gesuchten Verbindungen, Verflechtungen und Versammlungen von menschlichen und nichtmenschlichen Akteuren werden jedoch, so meine These, überwiegend im Sinne eines friedlichen Miteinanders ausbuchstabiert, während andere Formen der Verbindung dagegen, etwa durch stabile Gegnerschaft, andauernden Streit, stetige Auseinandersetzungen, vernachlässigt werden. Die während der Zusammensetzung der Kollektive notwendig werdenden Grenzziehungen und mit hoher Wahrscheinlichkeit auftretenden Konflikte um die Frage der Zugehörigkeiten werden weitgehend ausgeblendet zugunsten eines immensen Vertrauens in die Bereitschaft zur Versammlung und die Friedfertigkeit der Kollektivbildung. Mit anderen Worten: Während Kooperation, Verschmelzungen und Vermischungen überbetont werden, geraten Grenzziehungen, Konflikte und Kämpfe ins Hintertreffen. (shrink)

One controversial position in the debate over dispositional and categorical properties maintains that our concepts of these properties are the result of partially considering unitary properties that are both dispositional and categorical. As one of its defenders (Heil 2005, p. 351) admits, this position is typically met with “incredulous stares”. In this paper, I examine whether such a reaction is warranted. This thesis about properties is an instance of what I call “the Partial Consideration Strategy”—i.e., the strategy of claiming that (...) what were formerly thought of as distinct entities are actually a unified entity, partially considered. By evaluating its use in other debates, I uncover a multi-layered _prima facie_ case against the use of the Partial Consideration Strategy in the dispositional/categorical properties debate. In closing, I describe how the Partial Consideration Strategy can be reworked in a way that would allow it to sidestep this _prima facie_ case. (shrink)

The article explores the relationship between visual culture and the fight for visibility and attention in contemporary society. It draws on a concept of visual culture which not only sees the rising significance of the visual and the proliferation of images as its defining traits, but also the fact that, today, people are—to a much higher degree—both consumers as well as producers of images. Based on this definition, it is argued that in visually oriented communication and media societies, the anthropologically (...) fundamental need for attention manifests itself as a fight for visibility which takes on the form of ever more extreme forms of public self-display. Furthermore, a portrait of two social figures—the star and the voyeur—will serve as further analysis and description of the social trends which can be tied to the emergence of today's visual culture. The article will close by discussing attention and visibility in terms of inclusion and exclusion and by proposing an analytical model for differentiating four modes of existence in a visual culture. (shrink)

Recently I’ve been reflecting on the possibility that choices I’ve made and commitments I’ve accepted — choices and commitments like being part of the academy and treating philosophy as a productive way to pursue truths about race and racism — may have made me into Philosophy’s mammy. Confronted with a crystal-clear specter of myself as mammy, I stubbornly hold fast to the belief that my intellectual identity can be defended to all of my intellectual ancestors: my ancestors in the canon (...) of Western Philosophy, but also my intellectual foremothers and forefathers: Audre Lorde, Cherrie Moragua, Toni Morrison, Patricia Hill Collins, Cornel West, Charles Mills. Some of those to whom I owe an intellectual debt are more like cousins. Alongside philosophers like Kristie Dotson and Donna-Dale Marcano, among others, I occupy a very unique position. It is to them, perhaps, that I most need to give an account myself. I believe that I can give an earnest defense that is not simply self-serving, not an easy way out, and not a concession. The goal of this essay is to investigate this worry. What is revealed is not just the personal, social, and professional location of one particular philosophy; Perhaps surprisingly, I may be an inevitable event and valuable stage in the ongoing progress of Black Feminist Philosophy. (shrink)

The paper presents a formal explication of the early Wittgenstein's views on ontology, the syntax and semantics of an ideal logical language, and the propositional attitudes. It will be shown that Wittgenstein gave a "language of thought" analysis of propositional attitude ascriptions, and that his ontological views imply that such ascriptions are truth-functions of (and supervenient upon) elementary sentences. Finally, an axiomatization of a quantified doxastic modal logic corresponding to Tractarian semantics will be given.

The standard formulation of quantum gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more intrinsic quantum theoretical access in the spirit of Wigner’s representation theory shows that there is a fundamental clash between the pointlike localization of zero mass (vector, tensor) potentials and the Hilbert space (positivity, unitarity) structure of QT. The quantization approach has no other way than to stay with pointlike localization and sacrifice the Hilbert space whereas the approach built on the (...) intrinsic quantum concept of modular localization keeps the Hilbert space and trades the conflict creating pointlike generation with the tightest consistent localization: semiinfinite spacelike string localization. Whereas these potentials in the presence of interactions stay quite close to associated pointlike field strengths, the interacting matter fields to which they are coupled bear the brunt of the nonlocal aspect in that they are string-generated in a way which cannot be undone by any differentiation.The new stringlike approach to gauge theory also revives the idea of a Schwinger-Higgs screening mechanism as a deeper and less metaphoric description of the Higgs spontaneous symmetry breaking and its accompanying tale about “God’s particle” and its mass generation for all the other particles. (shrink)

In §50 of Philosophical Investigations Wittgenstein wrote the sentence, “There is one thing of which one can say neither that it is one metre long, nor that it is not one metre long, and that is the standard metre in Paris.” Although some interpreters have claimed that Wittgenstein’s statement is mistaken, while others have proposed various explanations showing that this must be correct, none have questioned the fact that he intended to assert that it is impossible to describe the standard (...) meter as being a meter long. Given that Wittgenstein introduces this sentence as analogous to the claim that “existence cannot be attributed to an element,” and that the preceding passages discuss a language-game the simples of which can be described by their own names, there is good reason to think that Wittgenstein did not intend to assert this infamous sentence. (shrink)