In Philosophical Investigations, Wittgenstein argues that we can neither say of the standard One Metre in Paris that it is a single metred length, nor that it is not. Kripke's reply to the puzzle is well known: the sentence expressing the assertion that the standard One Metre is one metre in length (at time t0) is a true, a priori and contingent sentence. In this paper, I would like to show the nature of the intuition that runs behind Kripke's reply (...) to the puzzle, and why, in the final analysis, it is not satisfactory, with respect to the point made by Wittgenstein. In addition, I will show that the case of the One Metre in Paris exemplifies the radical break Wittgenstein makes with traditional concepts of meaning. I then draw a general lesson that shows that the structure of concepts and functions (measures) in Wittgenstein is given by the idea of an arbitrary choice of "an object of comparison." Concepts and functions (measures) are materialised and internalised in the form of objects that are arbitrarily sampled from a sample space of same logical-type objects. (shrink)

In 2021, an NFT of a digital artwork by the artist @beeple was sold for $69 million. This sale is the starting point for a logical-historical journey tracing the fate of the Original in the digital age. We follow the footsteps of two seminal works exploring the concept of the Original, the celebrated The Work of Art in the Age of Mechanical Reproduction by Walter Benjamin and Nelson Goodman’s book, Languages of Art. We examine two case studies: the Lost Leonardo (...) - a recently surfaced painting claimed to be by Leonardo da Vinci, which remains highly disputed, and the grandiose saga of van Meegeren, the famous counterfeiter of Vermeer’s works from the 1930s and 1940s. Both tales are read as fascinating detective stories. We provide an analysis of our own that anchors the idea of the Original with the logic of Singular Rule - thereby giving structure to the ‘one-of-its-kind’ property that we associate with the Original. Our final remarks discuss the relevance of our analysis to the digital art of today. (shrink)

The article takes as its starting point the work of Tomas Kulka on Kitsch and Art to further a philosophical move aiming at the very logical core of the question of art. In conclusion, the idea of Singular Rule is offered as capturing the defining logic of art. In so doing, the logical structure of a singular rule is uncovered and in that also the sense in which the idea of singular rule both explains and justifies the role that art (...) plays in our life. In his Kitsch and Art Tomas Kulka extends Karl Popper's refutation principle in science to the arts. He asks of a true work of art to be open to “refutation” by way of evaluating it against its own admissible alterations or variations. An admissible alteration according to Kulka is a change or a modification of the work that does not “shatter its basic perceptual gestalt”. In considering alterations that are aesthetically better, worse or neutral with respect to the original picture, Kulka offers us a rational reconstruction of key aesthetics concepts such as unity, complexity and intensity. His reconstruction will show that a work of kitsch does not qualify as art in direct analogy to a proposition that cannot qualify as scientific if it is not refutable. Kitsch cannot be “refuted” by any of its possible alterations as they are all of equal aesthetic value. This explains the aura of empty perfectionism that accompanies the experience of kitsch since the work of kitsch does not carry any promise for improvement nor does it show itself superior to any of its possible alterations. Notwithstanding Kulka’s novel analysis, its premise we must note is grounded in the work of art impressing on us a single basic perceptual gestalt with respect to which an alteration can qualify as admissible. But in acknowledging the possibility of a gestalt-switch or the fact that the work of art can impress on us a variety of mutually-exclusive perceptual gestalts, Kulka's analysis loses the logical anchor necessary for it to work. However, in what might look at first sight as an unrecoverable logical deficiency, we find an anchor to a novel analysis to the question of art. This is our analysis to the idea of art as a singular rule. Indeed, the concept of a singular rule - a rule onto itself which has exclusively itself as its own argument - must strike us as paradoxical. But in offering to reconstruct the work of art through the complementary concepts of background and figure - to match respectively the how and the what of the work - we are able to provide a structural resolution to the idea of singular rule as what defines art. In this we believe we deliver a definitive answer to the question of art. (shrink)

Tomas Kulka’s celebrated body of work on aesthetics has its logical groundings among other influences in the work of Karl Popper in the philosophy of science and Nelson Goodman on art and symbolic systems. I will revisit these two anchors to draw the philosophical move Tomas takes in his Kitsch and Art and use it to further a philosophical move of my own aiming at the very logical core of the question of art.

Art as a Singular Rule "Art has nothing to do with me. Or my family. Or anybody I know" Abstract - This paper will examine an unresolved tension inherent in the question of art and argue for the idea of a singular rule as a natural resolution. In so doing, the structure of a singular rule will be fully outlined and its paradoxical constitution will be resolved. The tension I mention above unfolds both as a matter of history and as (...) a product of analysis. The concept of imitation will be our introduction to a brief overview of a historical trajectory starting with Plato. Plato is notorious for having imposed one of the most humiliating verdicts ever on the Arts: Art is imitative he argued, it is the practice of reproducing illusions and is, therefore, both an inferior source of knowledge and an ethically corrupt activity. Then, the story continues, came Aristotle, the savior of the Arts: he suggested that since essence, form, is imbedded in reality, the artist who imitates essence performs the noble task of abstracting form from substance. Art could now proudly stand alongside other highly respectable branches of human activities, such as the sciences. With the dominance of Aristotle in Western culture, abstraction came to play a key role. Leaping forward to our time, it can be argued that in Modernism the move towards abstraction was pushed to breaking point - to the point where the object was dismissed and denied relevancy to the work of art. This will bring us to a discussion of Art as representation and subsequently, to the introduction of a line of philosophical reasoning that threatens the Arts. It will seem as if we are caught between two extremes: If we assume that art is representational, we open the door for the old Platonic criticism that art is merely imitative (of its object); If we return to abstractionism, we may be led along a path that does not stop short of renouncing the object altogether, i.e. nothing is asserted as standing to the work of art as an "object" or an outer aim; this leaves us on a suspiciously skeptical note concerning the purpose and aim of art - and it indeed echoes prevailing feelings of unrest and confusion concerning the arts, precisely the sort that the quote above indicates. This seems to entrap us in a vicious circle. However, drawing upon the philosophies of Kant, Wittgenstein, Goodman and the contemporary Czech philosopher and esthetician, Tomas Kulka, I suggest a way for resolving the dilemma. This is my analysis of singular rule. (shrink)

The article takes as its starting point the work of Tomas Kulka on Kitsch and Art to further a philosophical move aiming at the very logical core of the question of art. In conclusion, the idea of Singular Rule is offered as capturing the defining logic of art. In so doing, the logical structure of a singular rule is uncovered and in that also the sense in which the idea of singular rule both explains and justifies the role that art (...) plays in our life. In his Kitsch and Art Tomas Kulka extends Karl Popper's refutation principle in science to the arts. He asks of a true work of art to be open to “refutation” by way of evaluating it against its own admissible alterations or variations. An admissible alteration according to Kulka is a change or a modification of the work that does not “shatter its basic perceptual gestalt”. In considering alterations that are aesthetically better, worse or neutral with respect to the original picture, Kulka offers us a rational reconstruction of key aesthetics concepts such as unity, complexity and intensity. His reconstruction will show that a work of kitsch does not qualify as art in direct analogy to a proposition that cannot qualify as scientific if it is not refutable. Kitsch cannot be “refuted” by any of its possible alterations as they are all of equal aesthetic value. This explains the aura of empty perfectionism that accompanies the experience of kitsch since the work of kitsch does not carry any promise for improvement nor does it show itself superior to any of its possible alterations. Notwithstanding Kulka’s novel analysis, its premise we must note is grounded in the work of art impressing on us a single basic perceptual gestalt with respect to which an alteration can qualify as admissible. But in acknowledging the possibility of a gestalt-switch or the fact that the work of art can impress on us a variety of mutually-exclusive perceptual gestalts, Kulka's analysis loses the logical anchor necessary for it to work. However, in what might look at first sight as an unrecoverable logical deficiency, we find an anchor to a novel analysis to the question of art. This is our analysis to the idea of art as a singular rule. Indeed, the concept of a singular rule - a rule onto itself which has exclusively itself as its own argument - must strike us as paradoxical. But in offering to reconstruct the work of art through the complementary concepts of background and figure - to match respectively the how and the what of the work - we are able to provide a structural resolution to the idea of singular rule as what defines art. In this we believe we deliver a definitive answer to the question of art. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Discover the Unknown Chekhov in Your ESL ClassroomNinah Beliavsky (bio)I was born in Moscow, ate aladushki, and listened to my mother read Chekhov in Russian. Kashtanka, a tale about a young, ginger-colored pup who gets lost, made me cry. And when I read about the death of Ivan Dmitrich Kreepikov, in The Death of a Civil Servant, I did not know whether to laugh or to cry. The poor (...) civil servant was sitting and watching an opera in a theater when all of a sudden he sneezed and spattered an old gentlemen, General Shpitzalov, in front of him. Now, as Chekhov writes, sneezing is not prohibited to any one or in any place; peasants sneeze, and even the chiefs of police sneeze. But, you see, the poor civil servant, being very much rank-conscious, could no longer live with himself after committing such a misconduct. He apologized profusely and went home, and without taking off his uniform, he lay down on the sofa, and... died.And what about Van'ka Zhukov, an orphan boy of nine apprenticed to a shoemaker who is being beaten and overworked. He writes a letter to his grandfather on Christmas Eve, begging him for the dear Lord's sake to take him away from his misery. After scratching his head and thinking for a moment, he dips his pen in ink and addresses his envelope: "The Village. To Grand Dad." He then dashes out into the street and pushes his precious letter through the opening of the postbox...The second part of my childhood I spent in Jerusalem; there I ate falafel with humus, was obsessed with perfecting the pronunciation of the Hebrew guttural "r," and read Miriam Yalan Shtekelis's children's poetry, which was filled with magical objects that laughed and cried. By the time I was in high school I was living in Milwaukee, eating fries and ice cream sundaes and reading O. Henry.The literature that one comes in contact with during childhood and young [End Page 101] adulthood is often deeply engraved on a person's psyche. It is similar to an adult craving sweets because of the psychological association with her childhood and a safe and protected environment. We tend to think back to the "good old days" because we find comfort in our past. Today, as an adult, a wife, and a mother, I often find refuge in my childhood memories. And, like most people, much of what I encounter and read today I tend to associate with my past. If I come across a story that I heard in my childhood, as I search for something new and amusing to give to my college English-as-a-Second-Language (ESL) students, I try to incorporate it into my curriculum. A few years ago I came across the story The Necklace by Guy de Mappassant and immediately recalled reading it in my adolescence. This story brought back the warm memories of home that I felt would be understood and identified with by my foreign students. Today, this story is one of my students' favorites. By using stories from my own past, I feel that I can bring to my class discussions a unique perspective—my own recollections and feelings and an interpretation not only academic in nature but also personal. Often, my international students will recall hearing or reading some of the same stories (that I bring to class) in their childhood, in their native tongues, and thus these stories will not seem out of context anymore because there will be a sense of connection.I teach ESL to college students—reading and writing at the intermediate and advanced levels. Aside from following the standard curriculum of using grammar and writing textbooks, I bring to my ESL classes music, opera, art, young adult novels by American writers, and short stories by both international and American writers. For instance, my students enjoy reading O. Henry's "The Christmas Present," "The Last Leaf," and "The Two Thanksgiving Day Gentlemen." These stories are about real people—just like my students—they are about everyday events, they are humorous and tragic in nature, and they have an unexpected twist... (shrink)

Logic in Action/Doron Avital Nothing is more difficult, and therefore more precious, than to be able to decide (Napoleon Bonaparte) Introduction -/- This book was born on the battlefield and in nights of secretive special operations all around the Middle East, as well as in the corridors and lecture halls of Western Academia best schools. As a young boy, I was always mesmerized by stories of great men and women of action at fateful cross-roads of decision-making. Then, like as today, (...) I felt the full weight of the moment of truth as it confronts the individual, the man or woman of action, with the imminent necessity to decide. Alongside, as I was climbing up the ladder of education, I found myself just as well captivated by the great intellectual stories of our times, in particular 20th century analytic philosophy and, at its core, the machinery of modern logic. How do then the cool contemplative modes of the philosophical and analytic outlooks, that are better fitting of the philosopher's armchair at the fireplace, hang together with the heat of the battlefield or the angst of the ticking clock of time left to the completion of a daring special operation? Growing up I was pondering exactly that. Not accidently, and in fact as consequence, I have chosen a course in life that challenged me to visit the poles of both theory and practice. I set myself on a mission to unravel the tension between the contemplative inquiry, supposedly theoretical, aiming at the logical structure of things, and the uncompromising test of life and action. The puzzle of the gap between theory and practice has become ever since the guiding question of my life. -/- Not long ago, I met two friends, Avner Shor, a veteran combat soldier of the special forces unit I eventually commanded, and Aviram Halevi, a fellow officer with whom I served. Why will we not put into writing the ideas that guided us during our years of military action, we wondered. At that time, I used to deliver the keynote lectures to the senior officers' course of Israel central intelligence organization, the Mossad. For this I already had to put some of these ideas in writing. Avner was quick to introduce me with a notable publisher and even helped me write the first chapter. With Aviram I sat to many meetings, where he would challenge me with key questions, and we followed them with memories of operations and battles, aiming to draw the required lessons. This served me well when I finally sat down to write the first draft of the book. The result was more extensive than me and my friends had expected. I had to add a particularly long chapter dealing with the story of modern philosophy and logic. This was required, I felt, as no decision-making process lives in an intellectual vacuum. Knowingly or subconsciously, the intellectual climate of the time guides us for better or worse with the decisions we finally take. The initial draft was naturally cumbersome and inaccessible. But here I had the privilege of meeting a particularly talented editor, Rami Rothholtz. I found in Rami both an editor and a critical reader. As an infantry combat soldier at youth and now a senior journalist and editor, Rami insisted on simplifying and refining my ideas. Had it not been for his work, this book would have been literally unreadable. *** I opened my book with a brief description of a single night of a special operation deep at the Lebanon Bekaa valley, far away from Israel northern border. The mission was to kidnap a senior terror leader known to be holding in captivity an Israeli pilot. This was also the last special operation I commanded in my military career. A single special operation night, but what had to precede it? For sure, many months of intense and skillful preparations. What is Planning? This is the question with which I open up chapter (2) of the book. I confront in this chapter two approaches to planning. The first is the one I saw as a mission to myself to cultivate in my many years of military service. The second is the one I saw as representing a deep-rooted fallacy that holds a firm grip on today's conventional wisdom about planning. To further examine the logic of the competing models, I was required in chapter (3) to analyze the concept of "The Standard". I argue that the false model of planning has its roots in an attitude of an uncompromising adherence to the power of literal obedience to standards and rules. The standard, or what is outlined by a rule as prescribing a future course of action, is seen as an answer to the fundamental tension between theory (planning) and practice (execution). I argue in contrast that the standard does not produce an answer but rather what I call: "A Well-Defined Question". In essence, it is a meticulously-well-planned invitation to exercise a fresh judgment. A judgement that has as an anchor the default answer that the standard produces but is open to extension as it confronts the new frame of reference of the test of reality. In chapter (4), I present a new tool for planning and execution: "The Polygon of Risks" or "The Polygon of Execution". The Polygon is a geometric illustration of the underlying tension that exists between all dimensions of the operational project. The construction and conceptualization of the trade-offs that exist between the various dimensions - segments of the polygon - is the first topic on the planner's agenda. I position the concepts of "Daring" and "Taking Proactive and Well-Informed Risks" as necessary logical constituents of the polygon and show how in contrast the false model of planning is responsible for an operational culture that is risk-averse. It encourages, in fact, the piling up of false securities at the segments' level that eventually lead to the collapse of the polygon. The necessary trade-offs relationships that exist between the segments of the polygon express the fundamental tension between partnership and competition: partnership in a joint goal and competition over resources, both material and abstract. When this tension is not managed well, that is, when the players' local optimizations overshadow the global optimization required for the success of the project, the execution polygon collapses. In this scenario, we may find the setting of the bar of "High Standards" in a players' spheres of responsibility to conceal a hidden agenda of personal insurances taken against a possible failure. Once the overall risk is not mitigated by way of collaborative joint executional dialogue, the process that leads to a collapse of the polygon is literally unstoppable. *** In chapter (5), I discuss "(Fateful) Decisions". I examine the way in which we should translate the polygon into sequential critical decisions on the timeline. The execution polygon is not a rigid scaffolding but a dynamic conceptual illustration of the -/- project. It will need now to be converted into successive decision junctions. We will find the content of a decision and its timing on the timeline to be inseparable. The right decision is the one that is taken at the right time. The moment of decision is in fact the last moment of deliberation, the first moment available for action, i.e. the first possible "Can" is also the latest possible "Must". Deciding too soon is analog to the "Jumping of the Gun". The decision maker is forcing a pre-conceived answer to a state of affairs not ripe for an answer, e.g. the target in the shooting range is not yet erected. Late to decide and the decision maker may envision what he or she should have done but reality is no longer available for them to harness it right, e.g. consider a tennis player's frustration when reviewing a too-late-to-react move in the video replay. I review in this chapter many fateful decisions, both historical, from Napoleon's Waterloo, to a Bridge Too Far of WWII, to the failed rescue attempt of American hostages at the time of the Iranian Revolution, as well as fateful decisions I had to take in the course of my military life, both in combat and in special operations, and show the sense in which they all answer to our analysis. The theme of chapter (6) is "The Moment of Truth". This is the moment when everything is on the line and from which there is no turning back. I discuss the formative repetitive structure of the schooling and simulation phase and contrast it with the "One Shot, One Opportunity" nature of the moment of truth. This is extremely helpful when we analyze the logical structure of failures as unwarranted repetitions of past lessons. The schooling curriculum indeed consists of important abstractions drawn from lessons of the past. However, it is when we project them in a fashion that is literal or mechanical that we cross path with the possibility of a failure. The paradox of education is that what we must repeat in school and simulation must be extended and not repeated in real life. What is required of us so we do not fall into the fallacy of repetition in face of the moment of truth is the core subject of the discussion of this chapter. In chapter (7), I took a lengthy philosophical detour surveying the intellectual drama of modern logic, and in general, the story of 20th century analytic philosophy. Readers who choose to bypass the somehow demanding narrative of this drama can do so and still keep the argumentative thread of the book. However, even by way of skipping the more technical parts, I would still urge the readers to delve into the discussion in this chapter as I believe this would grant them a deeper understanding of the overall conceptual framework. I explore here the work of two key figures: the logician Kurt Gödel and the philosopher Ludwig Wittgenstein, both were crowned in 2000 by TIME Magazine, as the leading Logician and Philosopher, respectively, of the 20th Century. I review the fascinating logical result of Gödel's Incompleteness Theorem and examine its relevance as setting a theoretical limit to the power of formalization. This amazing logical result - a result that shakes the logical foundations of 20th century thought in as much as the discovery of irrational numbers shook the foundations of the Pythagorean program of the ancient Greeks - bears significantly on the question of action and the blind trust we place in the power of formalization in the form of protocols and rules. It is here that Wittgenstein's philosophy enters in full force. We follow Wittgenstein as he dismantles our conception of rules as if there were "Railroads to Infinite", i.e. as prescribing for us in-advance their proper employments in all possible -/- future eventualities. Instead we propose that the dilemma of action demands of us an extension of rules rather than a mechanical or blind repetition of their literal imperative. In turn, this extension can serve as a new lesson added to the curriculum of school and simulation. The theme of chapter (8), the concluding chapter, is Strategy, Logic, and Ethics. The chapter comes to place the ethical dilemma in the conceptual map we presented in the book. I discuss here the tension between strategy as a process of setting goals and deriving backward as it were the steps that are necessary for achieving these goals, to the inescapable dictation of the ethical imperative. This unavoidable tension is particularly important against the backdrop of contemporary culture that is guided by a vision of personal success and achievement that may threaten our ability to do what is right. Most of all, I am troubled in this chapter, with the role logic may play, first as a liberating force enabling a change that is tuned to the ethical imperative, and second, as a force designed to justify on logical grounds, as it were, the existing power structure. It is in this junction that brave individuals will be called to challenge the governing logic of the zeitgeist - logic that operates now as an oppressive force that serves the vested interest of beneficials of the existing order. When success is favored over doing what is right, as we must admit is the prevailing cultural mood of our times, that the words of Emanuel Kant carry their full weight: "Do the Right thing and leave the Consequences to God". For this we need heroes and heroines that challenge the time by bearing the full weight of responsibility that comes with the doing of what is Right. *** This book was written more than anything from the perspective of the heroes and heroines of action. Sometimes they may be missing the exact words or the full insight into the solid logical complexity that stands between them and the doing of what is right. They feel what is right to do on the battlefield of life, whether in real battle, in political or economic life or whether in the life of creativity and the quest of the intellect. They do need, in analogy, proper logical and intellectual artillery. I hope they will find the logical cannons they require as they travel through the pages of this book. The rest is in their hands at the Moment of Truth. -/- Doron Avital, Tel Aviv 2011 -/- . (shrink)

Tractatus Logico-Pilosophicus, the only book published during Ludwig Wittgenstein's lifetime , has since attracted the imagination of generations of philosophers as a work of great philosophical genius. Nonetheless, even today, more than eighty years later, philosophers are struggling to reconcile its diverse themes within a single, coherent picture. The present work is an attempt to meet this challenge. ;Wittgenstein considered the single proposition as a concrete model for the fact. The challenge is to show how a system of propositions can (...) serve as a model of reality. My work concentrates on three pillars of the logic of the Tractatus: the picture theory, negation as "reversal of sense," the independence of elementary propositions. Using a simple scenario of the ordering of objects or letters on a line, I examine the conflict generated by the attempt to adequately accommodate all three themes and offer my own solution. My solution brings implications to the problem of negation and to the Tractatus's thesis that the possibilities of logical space are spanned by the possible configurations of the ultimately simple objects. One such implication, which stands in contrast to the common reading, is that in atomic facts we have 'complex objects' as constituents. ;The resolution offered, furthermore, exposes an intrinsic difficulty in the Tractatus, for which I have reserved the term arbitrary choice. The difficulty is manifested in the lack of assurance---from the perspective of logic---that a concept-word will preserve its 'standard' meaning when it is reapplied or when its scope of application varies. In this I uncover the seed of central themes in Wittgenstein's later philosophy, e.g. the rule-following argument, as present already in the Tractatus. ;In the concluding chapter, I suggest a new account for the nature of the proposition by connecting the analysis offered in the Tractatus with the subject of time and motion. The picture with which the work concludes then considers language not as corresponding to reality, but as engaged or synchronized with reality---if you will, it is a picture of language and reality in a dance. (shrink)