Justice and Libertarianism The term ‘justice’ is commonly used in several different ways. Sometimes it designates the moral permissibility of political structures (such as legal systems). Sometimes it designates moral fairness (as opposed to efficiency or other considerations that are relevant to moral permissibility). Sometimes it designates legitimacy in the sense of it being morally impermissible for others to interfere forcibly with the act or omission (e.g., my failing to go to dinner with my mother may be wrong but nonetheless (...) legitimate). Finally, sometimes it designates what we owe each other in the sense of respecting everyone’s rights. Of course, these notions are closely related. What we owe each other may, but need not, be partly based on issues of fairness. Legitimacy and permissibility of political structures are largely, but perhaps not entirely, determined by what rights of non-interference individuals have. Nonetheless, these are distinct notions and we shall focus only on what we owe each other. Justice as what we owe each other is not concerned with impersonal duties (duties owed to no one, i.e., that do not correspond to anyone’s rights). If there are impersonal duties, then something can be just but nonetheless morally impermissible. For brevity, we shall often write of actions being permissible or agents having a moral liberty, but this should always be understood in the interpersonal sense of violating no one’s rights. Libertarianism is sometimes advocated as a derivative set of rules (e.g., derived from rule utilitarian or contractarian doctrines). Here, however, we reserve the term for the natural rights doctrine that agents initially fully own themselves. Agents are full self-owners just in case they own themselves in precisely the same way that they can fully own inanimate objects. Stated slightly differently, full self-owners own themselves in the same way that a full chattel-slaveowner owns a slave. Throughout, we are concerned with moral ownership and not legal ownership.. (shrink)

Hillel Steiner has recently attacked the notion of inalienable rights, basing some of his arguments on the Hohfeldian analysis to show that infinite arrays of legal positions would not be associated with any inalienable rights. This essay addresses the nature of the Hohfeldian infinity: the main argument is that what Steiner claims to be an infinite regress is actually a wholly unproblematic form of infinite recursion. First, the nature of the Hohfeldian recursion is demonstrated. It is shown (...) that infinite recursions of legal positions ensue regardless of whether inalienable rights exist or not. Second, the alleged problems that this might pose for the analysis are discussed. The conclusion is that one should not worry about the recursion as long as one understands correctly the role of the Hohfeldian analysis in normative reasoning. (shrink)

In this article, the Golden Rule, a central ethical value to both Judaism and Confucianism, is evaluated in its prescriptive and proscriptive sentential formulations. Contrary to the positively worded, prescriptive formulation – “Love others as oneself” – the prohibitive formulation, which forms the injunction, “Do not harm others, as one would not harm oneself,” is shown to be the more prevalent Judaic and Confucian presentation of the Golden Rule. After establishing this point, the remainder of the article is dedicated to (...) an inquiry into why this preference between the two Golden-Rule-formulations occurs. In doing so, this article discovers four main benefits to the proscriptive formulations: I) harm-doing, as opposed to generalizable moral goodness, is easier for individuals to subjectively comprehend II) the prevention of harm-doing is the most fundamental ethical priority III) the proscriptive formulation preserves self-directed discovery of what is good, thus preserving moral autonomy IV) individuals are psychologically pre-disposed toward responding to prohibitions rather than counsels of goodness. (shrink)

This book introduces readers to the topic of explanation. The insights of Plato, Aristotle, J.S. Mill and Carl Hempel are examined, and are used to argue against the view that explanation is merely a problem for the philosophy of science. Having established its importance for understanding knowledge in general, the book concludes with a bold and original explanation of explanation.

Rudolf Steiner, who draws attention with his multi-faceted works, is known for his important works in the fields of medicine, education, art and agriculture, as well as esotericism and occultism in particular. In this article, it is explicated to the intellectual infrastructure, the effect of the anthroposophy founded by Steiner and deals with the Spiritual Science, which Steiner created in a unique way. Rudolf Steiner has established an eclectic system by dissolving different schools such as Goethe's (...) doctrine of nature, Rosicrucianism, Kabbalah, Hinduism, Gnostic and Mystic Christianity in his system. The universality is dominant in Steiner's work. His inclusive ideas for all humanity suffered the reaction of the Nazis in his time. Steiner drew attention to the potential of discovering the senses of people by making a distinction between the sensory and the sensual world. The drive and power of discovering the spiritual world in humans has a significant share in his work. Steiner, who says he has seen and experienced the supernatural world personally, is intended to have more knowledge of other people about the supernatural world. The literature review was chosen as a method. Information gathered from different sources may provide a better understanding of Steiner's work. (shrink)

A review of Berent Enc's How We Act: Causes, Reasons, and Intentions.

Deliberative Transformative Moments (DTM) is a new concept that serves as an amendment to the DQI. With this new concept it is easier to get at the quick give-and-take of discussions of small groups of ordinary citizens. As an illustration, we apply the concept to discussions about the peace process among Colombian ex-combatants, ex-guerrillas and ex-paramilitaries. Specifically, we show how personal stories can transform a discussion from a low to a high level of deliberation and how they can have the (...) opposite effect. To increase the level of deliberation in the general population, we recommend that good illustrations of DTM’s should be part of the school programs from an early age on, so that children learn how to discuss with others who have different opinions and values. (shrink)

What constitutes numerically one and the same tradition diachronically, at different times? This question is the focus of often violent dispute in societies. Is it capable of a rational resolution? Many accounts attempt that resolution with a diagnosis of ambiguity of the disputed concept-Islam, Marxism, or democracy for example. The diagnosis offered is in terms of vagueness, namely the vague criteria for sameness or similarity of central beliefs and practices.

Sartori (1970) warned a long time ago of the danger of concept stretching for effective and cumulative theory building. Such concept stretching has happened with regard to deliberation, which has become a very faddish term. For theoretically well-founded empirical research it is better conceptually to distinguish clearly between strategic bargaining and deliberation, although in the empirical political world the two concepts are usually heavily intertwined. Keywords deliberation; concept stretching; strategic bargaining.

A careful elaboration and defence of holism in the philosophy of social science, with regard to both particulars and properties.The last chapter addresses the issue of the irreducibility of holistic explanation in social science.

Metaphysically speaking, just what is trying? There appear to be two options: to place it on the side of the mind or on the side of the world. Volitionists, who think that to try is to engage in a mental act, perhaps identical to willing and perhaps not, take the mind-side option. The second, or world-side option identifies trying to do something with one of the more basic actions by which one tries to do that thing. The trying is then (...) said to be identical with the physical action. -/- After carefully stating the second, world-side view, I produce two arguments against it. The first relies on the fact that if a=b and b=c, then a=c, sometimes put colloquially as: if something is identical to two things, then the two things must be identical to one another. In the case of trying, one might try to do something by performing a plurality of simultaneous actions, a sure sign that the relation between the trying and the plurality of actions by which one tries must be some relation other than identity. -/- The second argument discusses two cases, recorded in William James’ The Principles of Psychology, of a patient who tries but who performs no action whatever. This is sometimes called ‘naked trying’. A recent attempt at denying that there can be such cases of naked trying is examined and dismissed. (shrink)

I propose a systematic survey of the various attitudes proponents of enaction (or enactivism) entertained or are entertaining towards representationalism and towards the use of the concept “mental representation” in cognitive science. For the sake of clarity, a set of distinctions between different varieties of representationalism and anti-representationalism are presented. I also recapitulate and discuss some anti-representationalist trends and strategies one can find the enactive literature, before focusing on some possible limitations of eliminativist versions of enactive anti-representationalism. These limitations are (...) here taken as opportunities for reflecting on the fate of enactivism in its relations with representationalism and anti-representationalism. (shrink)

In virtue of what are later and an earlier group members of one and the numerically same tradition? Gallie was one of the few philosophers to have engaged with issues surrounding this question. My article is not a faithful exegesis of Gallie but develops a terminology in which to discuss issues surrounding the numerical identity of a tradition over time, based on some of his insights.

A comparison of disjunctive theories of action and perception. The development of a theory of action that warrants the name, a disjunctive theory. On this theory, there is an exclusive disjunction: either an action or an event (in one sense). It follows that in that sense basic actions do not have events intrinsic to them.

A discussion of three central ideas in action theory; trying to act, doing or acting, one's action causing further consequences.

Book synopsis: This collection of previously unpublished essays presents the newest developments in the thought of international scholars working on the explanation of action. The contributions focus on a wide range of interlocking issues relating to agency, deliberation, motivation, mental causation, teleology, interprative explanation and the ontology of actions and their reasons. Challenging numerous current orthodoxies, and offering positive suggestions from a variety of different perspectives, this book provides essential reading for anyone interested in the explanation of action.

From the local level to international politics, deliberation helps to increase mutual understanding and trust, in order to arrive at political decisions of high epistemic value and legitimacy. This book gives deliberation a dynamic dimension, analysing how levels of deliberation rise and fall in group discussions, and introducing the concept of 'deliberative transformative moments' and how they can be applied to deeply divided societies, where deliberation is most needed but also most difficult to work. Discussions between ex-guerrillas and ex-paramilitaries in (...) Colombia, Serbs and Bosnjaks in Bosnia-Herzegovina, and police officers and locals in Brazilian favelas are used as case studies, with participants addressing how peace can be attained in their countries. Allowing access to the records and transcripts of the discussions opens an opportunity for practitioners of conflict resolution to apply this research to their work in trouble spots of the world, creating a link between the theory and practice of deliberation. (shrink)

Some objections to the idea that disputed territories should be auctioned.

Is the thought that having a reason for action can also be the cause of the action for which it is the reason coherent? This is an attempt to say exactly what is involved in such a thought, with special reference to the case of con-reasons, reasons that count against the action the agent eventually choses.

Argument that Marx has a realist ontology and a correspondence theory of truth. His views are compared to both Hegel's and Kant's. This interpretation departs from more Hegelian, 'idealist' interpretations that often rely on misunderstanding some of the work of the early Marx. There is also a discussion and partial defence of Lenin's Materialism and Empirio-Criticism.

John Searle sets out five statements, the relation of each to its successor being one of entailment.

The New Age philosopher, Rudolf Steiner (1861-1925), was the most prolific and arguably the most influential philosopher of his era. He assembled a substantial library, of approximately 9,000 items, which has been preserved intact since his death. Most of Rudolf Steiner’s books are in German, his native language however there are books in other languages, including English, French, Italian, Swedish, Sanskrit and Latin. There are more books in English than in any other foreign language. Steiner esteemed English (...) as “a universal world language”. The present paper identifies 327 books in English in Rudolf Steiner’s personal library. Fifty percent of the English-language books identified are on Theosophy (n=164). Rudolf Steiner was the General Secretary of the German branch of the Theosophy Society from 1902, and he hived off his own Anthroposophy Society in 1912. The present study reveals that Steiner maintained his interest in Theosophy throughout his life as he stayed up to date with the proliferating portfolio of Theosophy publications. The publication dates of Steiner’s Theosophy collection range from 1877 to 1923. The leading exponents of Theosophy in his day are well represented in Steiner’s collection, including Annie Besant (n=61), Charles Leadbeater (n=13), William Westcott (n=13) and Helena Blavatsky (n=10). Of the other 50% of the Anglo-books identified, 20% are in the category of Religion (n=67), 10% are Social Science (n=33), 6% are Philosophy (n=21), 4% are Science (n=13), and 3% each are Anthroposophy (n=11), History (n=9) and Arts (n=9). The publication dates of Steiner’s Anglo-books span the period 1659 to 1925. This demonstrates that Steiner was acquiring Anglo-books right to the end of his life. The Steiner library throws light on the development of the thoughts of this remarkable individual and the present paper reveals Steiner’s engagement throughout his life with the world of Anglo-publishing and thought. (shrink)

If reduction of the social to the physical fail, what options remain for understanding their relationship? Two such options are supervenience and constructivism. Both are vitiated by a similar fault. So the choices are limited: reduction after all, or emergence.

An analysis of the theses of social holism and individualism, and arguments for the metaphysical integrity and irreducibility of both social properties and social entities. The last chapter discusses explanation in social science.

Die Theorie des sozialen Organismus war zur Zeit des Beginns des 20. Jahrhunderts ein durchaus weit verbreiteter Ansatz der von vielen verschiedenen theoretischen Richtungen in der Soziologie und Ökonomie aufgenommen wurde. Bekannt ist der diesbezügliche Ansatz von Rudolf Steiner. Eher nicht so bekannt ist die Theorie von Rudolf Stolzmann. Letzterer war ein Vertreter der sogenannten sozialrechtlichen Richtung der Nationalökonomie und philosophisch war er ein Vertreter des Neukantianismus (Marburger Schule, Südwestdeutsche Schule). Stolzmann hat Steiners Schriften zum sozialen Organismus nachweislich gekannt (...) und auch zitiert. In diesem Aufsatz sollen Gemeinsamkeiten und Trennendes im Konzept des sozialen Organismus bei Stolzmann und Steiner gefunden werden. Stolzmann und Steiner haben die Bedeutung des Geistigen und in weiterer Folge des Rechtlichen für die Gesellschaft und Wirtschaft in ihrer Theorie hervorgehoben. Steiner hatte aber den wesentlich praktischeren Ansatz. Sein Konzept des sozialen Organismus ist mehr ein Reformvorschlag für Ökonomie und Gesellschaft, während Stolzmann die theoretische und immer gültige Bedeutung seiner Theorie hervorhebt. (shrink)

What might it mean to say that there is such a thing as a hermeneutic circle in the social sciences? A consideration of some remarks by Charles Taylor and others and an interpretive reconstruction, and assessment, of the idea of such a circle.

I defend the view, hardly original with me, that there is no evidence, deductive or non-deductive, for any of our causal beliefs, that does not already assume that there are some causal connections, and hence that there is no way in which experience on its own, or with causalität-free principles, can support the structure of out causal knowledge. The deductive case is perhaps obvious. In the case of non-deductive arguments, I consider how experience of constant conjunctions, together with the employment (...) of an inference to the best explanation, might lead to a causal conclusion. But I argue that such an inference would need as a premiss that the causal explanation of the constant conjunction is the best explanation of that evidence, and ‘best’ in this context requires the thought that the causal hypothesis best fits with our existing causal beliefs. (shrink)

The article argues that the famous debate on natural and positive law between Lon Fuller and HLA Hart rests on a dispute about whether or not that something is a law provides on its own a prima facie reason for doing something.

Whether some condition is equivalent to a conjunction of some (sub-) conditions has been a major issue in analytic philosophy. Examples include: knowledge, acting freely, causation, and justice. Philosophers have striven to offer analyses of these, and other concepts, by showing them equivalent to such a conjunction. Timothy Williamson offers a number of arguments for the idea that knowledge is ‘prime’, hence not equivalent to or composed by some such conjunction. I focus on one of his arguments: the requirement that (...) such conjuncts must be freely recombinable. Although there has been a great deal of discussion of Williamson’s arguments, the flaw I describe has gone unnoticed. Williamson’s argument is expressed in terms of conditions, and cases of the condition. Does the condition include specific information, or is the specific information only part of the case? His argument equivocates between more and less general specifications of the conditions. Once this distinction is clarified, his argument can be seen to be vitiated by this conflation. Neither option yields a sound argument for Williamson’s desired conclusion. (shrink)

A collection of 18 contemporary essays engaged in original, not historical, philosophical research on philosophical themes arising from Judaism.

Questions of research ethics are raised when deliberative research is done in war situations.

To deliberate is a skill like any other that can be learned. The paper shows how schools can teach deliberative skills.

Dans la formulation classique habermassienne du modèle délibératif, les arguments doivent être justifiés d’une façon rationnelle, reliant logiquement des raisons à des conclusions. Sur la base de données empiriques, il est montré que les histoires personnelles ont également un rôle à jouer pour une bonne délibération, créant l’empathie à l’égard des besoins des autres. Plus généralement, les émotions ne devraient pas être exclues de la délibération.In the classical Habermasian formulation of the deliberative model, arguments have to be justified in a (...) rational way logically linking reasons with conclusions. On the basis of empirical data, it is shown that personal stories have also a role to play in good deliberation creating empathy for the needs of others. More generally, emotions should not be excluded from deliberation. (shrink)

Transoral laser microsurgery applies to the piecemeal removal of malignant tumours of the upper aerodigestive tract using the CO2 laser under the operating microscope. This method of surgery is being increasingly popularised as a single modality treatment of choice in early laryngeal cancers (T1 and T2) and occasionally in the more advanced forms of the disease (T3 and T4), predomi- nantly within the supraglottis. Thomas Kuhn, the American physicist turned philosopher and historian of science, coined the phrase ‘paradigm shift’ in (...) his groundbreaking book The Structure of Scientific Revolutions. He argued that the arrival of the new and often incompatible idea forms the core of a new paradigm, the birth of an entirely new way of thinking. This article discusses whether Steiner and col- leagues truly brought about a paradigm shift in oncological surgery. By rejecting the principle of en block resection and by replacing it with the belief that not only is it oncologically safe to cut through the substance of the tumour but in doing so one can actually achieve better results, Steiner was able to truly revolutionise the man- agement of laryngeal cancer. Even though within this article the repercussions of his insight are limited to the upper aerodigestive tract oncological surgery, his willingness to question other peoples’ dogma makes his contribution truly a genuine paradigm shift. (shrink)

In group discussions of any kind there tends to be an up and down in the level of deliberation. To capture this dynamic we coined the concept of Deliberative Transformative Moments (DTM). In deeply divided societies deliberation is particularly important in order to arrive at peace and stability, but deliberation is also very difficult to be attained. Therefore, we wanted to learn about the conditions that in group discussions across the deep divisions of such societies help deliberation. We organized such (...) group discussions between ex-guerrillas and ex-paramilitaries in Colombia, Serbs and Bosnjaks in Srebrenica, and poor residents and local police officers in the favelas (slums) of Brazil. We could identify factors that help to transform discussions from low to high deliberation and risk transformations in the opposite direction. We could also identify factors that help to keep a discussion at a high level of deliberation, and, in a next step, we could determine to what extent long sequences of deliberation had a positive impact on the outcomes of the discussions. Finally, we show how our research results can have a long term effect if it is used in schools of such deeply divided societies. (shrink)

Es ist das Verdienst der Arbeit von Adam Drozdek, in einem noch grösseren historischen Umfang sowie mit einer noch stärkeren thematischen Gewichtung und Stringenz als dies bereits Sinnige getan hat, nicht nur die entscheidendste Phase der griechischen Philosophie, sondern auch der Mathematik, ausgehend vom physikalischen und mathematischen Infinitätsgedanken dargestellt zu haben.

Ernesto Genoni (1885-1975) pioneered biodynamic agriculture in Australia. In 1928 he was the first of (ultimately) twelve Australians to join Rudolf Steiner’s Experimental Circle of Anthroposophical Farmers and Gardeners (ECAFG) which was based at the Goetheanum, Dornach, Switzerland. Ernesto trained as an artist for five years at Milan’s prestigious Brera Academy. He visited his brothers in Australia, broad-acre immigrant farmers in Western Australia, in 1912 and 1914 and during these visits he worked on their, and other’s, farms. In 1916 (...) he enlisted in the Australian Imperial Force (AIF) and served as a stretcher bearer on the battlefields of the Somme, France, before being conscripted into the Italian Army and serving jail-time in Italy as a draft resister and conscientious objector. Ernesto joined the Anthroposophical Society in Milan in 1919. He first met Rudolf Steiner in 1920 at the Goetheanum, the Anthroposophy headquarters in Switzerland. Ernesto left the Goetheanum in 1924 when Steiner retired from public life. He migrated to Australia in 1926 with aspirations for establishing a career as an artist in Australia. Instead, having arrived in Australia, he was again drawn into farm management and agricultural work. Ernesto was a champion for biodynamic agriculture, Anthroposophy, and the Austrian New Age philosopher, Rudolf Steiner - causes to which he devoted the rest of his life. In 1928 he initiated the first Anthroposophy meetings in Melbourne. In 1930 Ernesto made a grand tour of biodynamic enterprises in Europe and met the leading biodynamics advocates and practitioners of the day in Germany, Switzerland and England, including Ehrenfried Pfeiffer, Erika Riese, Ernst Stegemann, and Carl Mirbt. In 1935 Ernesto and his partner, Ileen Macpherson, who was also an anthroposophist and a member of the ECAFG, began their biodynamic farm called Demeter Biological Farm in Dandenong, Victoria. Ernesto was a founder of the Anthroposophical Society Victoria Michael Group in 1932, and he became its leader in 1962. (shrink)

This paper outlines a quantitative theory of strongly semantic information (TSSI) based on truth-values rather than probability distributions. The main hypothesis supported in the paper is that the classic quantitative theory of weakly semantic information (TWSI), based on probability distributions, assumes that truth-values supervene on factual semantic information, yet this principle is too weak and generates a well-known semantic paradox, whereas TSSI, according to which factual semantic information encapsulates truth, can avoid the paradox and is more in line with the (...) standard conception of what generally counts as semantic information. After a brief introduction, section two outlines the semantic paradox implied by TWSI, analysing it in terms of an initial conflict between two requisites of a quantitative theory of semantic information. In section three, three criteria of semantic information equivalence are used to provide a taxonomy of quantitative approaches to semantic information and introduce TSSI. In section four, some further desiderata that should be fulfilled by a quantitative TSSI are explained. From section five to section seven, TSSI is developed on the basis of a calculus of truth-values and semantic discrepancy with respect to a given situation. In section eight, it is shown how TSSI succeeds in solving the paradox. Section nine summarises the main results of the paper and indicates some future developments. (shrink)

A con-reason is a reason which plays a role in motivating and explaining an agent's behaviour, but which the agent takes to count against the course of action taken. Most accounts of motivating reasons in the philosophy of action do not allow such things to exist. In this essay, I pursue two aims. First, I argue that, whatever metaphysical story we tell about the relation between motivating reasons and action, con- reasons need to be acknowledged, as they play an explanatory (...) role not played by pro- reasons. Second, I respond to an argument recently developed by David-Hillel Ruben to the effect that a causal theory of action – still known as ‘the standard story’ – cannot account for con- reasons. His argument attempts to show that a fundamental principle of the causal theory cannot be reconciled with the role con- reasons play in a certain kind of imagined case. I first argue that a causal theorist is not, in fact, committed to the problematic. (shrink)

The complexity, subtlety, interlinking, and scale of many problems faced individually and collectively in today's rapidly changing world requires an epistemology--a way of thinking about our knowing--capable of facilitating new kinds of responses that avoid recapitulation of old ways of thinking and living. Epistemology, which implicitly provides the basis for engagement with the world via the fundamental act of distinction, must therefore be included as a central facet of any practical attempts at self/world transformation. We need to change how we (...) think, not just what we think. The new epistemology needs to be of a higher order than the source of the problems we face. -/- This theoretical, transdisciplinary dissertation argues that such a new epistemology needs to be recursive and process-oriented. This means that the thoughts about thinking that it produces must explicitly follow the patterns of thinking by which those thoughts are generated. The new epistemology is therefore also phenomenological, requiring the development of a reflexivity in thinking that recursively links across two levels of order--between content and process. The result is an epistemology that is of (and for) the whole human being. It is an enacted (will-imbued) and aesthetic (feeling-permeated) epistemology (thinking-penetrated) that is sensitive to and integrative of material, soul, and spiritual aspects of ourselves and our world. I call this kind of epistemology aesthetic, because its primary characteristic is found in the phenomenological, mutually fructifying and transformative marriage between the capacity for thinking and the capacity for feeling. -/- Its foundations are brought forward through the confluence of multiple domains: cybernetic epistemology, the esoteric epistemology of anthroposophy (the spiritual science of Rudolf Steiner), and the philosophy of the implicit as developed by Eugene Gendlin. -/- The practice of aesthetic epistemology opens new phenomenal domains of experience, shedding light on relations between ontology and epistemology, mind and body, logic and thinking, as well as on the formation (and transformation) of identity, the immanence of thinking in world-processes, the existence of different types of logic, and the nature of beings, of objects, and most importantly of thinking itself and its relationship to spirit. (shrink)

The paper contains an overview of the most important results presented in the monograph of the author "Teorie Językow Syntaktycznie-Kategorialnych" ("Theories of Syntactically-Categorial Languages" (in Polish), PWN, Warszawa-Wrocław 1985. In the monograph four axiomatic systems of syntactically-categorial languages are presented. The first two refer to languages of expression-tokens. The others also takes into consideration languages of expression-types. Generally, syntactically-categorial languages are languages built in accordance with principles of the theory of syntactic categories introduced by S. Leśniewski [1929,1930]; they are connected (...) with- the Ajdukiewicz’s work [1935] which was a continuation of Leśniewski’s idea and further developed and popularized in the research on categorial grammars, by Y. Bar-Hillel [1950,1953,1964]. To assign a suitable syntactic category to each word of the vocabulary is the main idea of syntactically-categorial approach to language. Compound expressions are built from the words of the vocabulary and then a suitable syntactic-category is assigned to each of them. A language built in this way should be decidable, which means that there should exist an algorithm for deciding about each expression of it, whether it is well-formed or is syntactically connected . The traditional, originating from Husserl, understanding of the syntactic category confronts some difficulties. This notion is defined by abstraction using the concept of affiliation of two expressions to the same syntactic category. (shrink)

According to Quine, Charles Parsons, Mark Steiner, and others, Russell's logicist project is important because, if successful, it would show that mathematical theorems possess desirable epistemic properties often attributed to logical theorems, such as a prioricity, necessity, and certainty. Unfortunately, Russell never attributed such importance to logicism, and such a thesis contradicts Russell's explicitly stated views on the relationship between logic and mathematics. This raises the question: what did Russell understand to be the philosophical importance of logicism? Building on (...) recent work by Andrew Irvine and Martin Godwyn, I argue that Russell thought a systematic reduction of mathematics increases the certainty of known mathematical theorems (even basic arithmetical facts) by showing mathematical knowledge to be coherently organized. The paper outlines Russell's theory of coherence, and discusses its relevance to logicism and the certainty attributed to mathematics. -/- . (shrink)

Wittgenstein's lack of sympathy for Shakespeare's works has been well noted by George Steiner and Harold Bloom among others. Wittgenstein writes in 1950, for instance: "It seems to me as though his pieces are, as it were, enormous sketches, not paintings; as though they were dashed off by someone who could permit himself anything, so to speak. And I understand how someone may admire this & call it supreme art, but I don't like it." Of course, the animosity of (...) one great mind for another has its own interest. But the interest here is increased by two factors: (1) Wittgenstein's brief but specific critique of Shakespeare's similes, of interest particularly since he identifies his own philosophical strength half-deprecatingly but still seriously as one of crafting beautiful similes; and (2) Wittgenstein's and Shakespeare's shared concern, as revealed in Stanley Cavell's writings, with the human impulse to skepticism. The present paper considers the importance of these two factors in weighing Wittgenstein's judgment. It suggests that Wittgenstein's frequent charge that Shakespeare is "completely unrealistic" is not a misunderstanding of the Bard (Wittgenstein distinguishes his "failure to understand" from others' willingness to misunderstand Shakespeare) but rather an expression of Wittgenstein's anxiety over Shakespeare's wholly original use of language to represent the sound of the raw motives to skepticism. (shrink)

In §8 of Remarks on the Foundations of Mathematics (RFM), Appendix 3 Wittgenstein imagines what conclusions would have to be drawn if the Gödel formula P or ¬P would be derivable in PM. In this case, he says, one has to conclude that the interpretation of P as “P is unprovable” must be given up. This “notorious paragraph” has heated up a debate on whether the point Wittgenstein has to make is one of “great philosophical interest” revealing “remarkable insight” in (...) Gödel’s proof, as Floyd and Putnam suggest (Floyd (2000), Floyd (2001)), or whether this remark reveals Wittgenstein’s misunderstanding of Gödel’s proof as Rodych and Steiner argued for recently (Rodych (1999, 2002, 2003), Steiner (2001)). In the following the arguments of both interpretations will be sketched and some deficiencies will be identified. Afterwards a detailed reconstruction of Wittgenstein’s argument will be offered. It will be seen that Wittgenstein’s argumentation is meant to be a rejection of Gödel’s proof but that it cannot satisfy this pretension. (shrink)

According to Steiner (1998), in contemporary physics new important discoveries are often obtained by means of strategies which rely on purely formal mathematical considerations. In such discoveries, mathematics seems to have a peculiar and controversial role, which apparently cannot be accounted for by means of standard methodological criteria. M. Gell-Mann and Y. Ne׳eman׳s prediction of the Ω− particle is usually considered a typical example of application of this kind of strategy. According to Bangu (2008), this prediction is apparently based (...) on the employment of a highly controversial principle—what he calls the “reification principle”. Bangu himself takes this principle to be methodologically unjustifiable, but still indispensable to make the prediction logically sound. In the present paper I will offer a new reconstruction of the reasoning that led to this prediction. By means of this reconstruction, I will show that we do not need to postulate any “reificatory” role of mathematics in contemporary physics and I will contextually clarify the representative and heuristic role of mathematics in science. (shrink)