Jay Zeman one must keep a bright lookout for unintended and unexpected changes thereby brought about in the relations of different significant parts of the diagram to one another. Such operations upon diagrams, whether external or imaginary, take the place of the experiments upon real things that one performs in chemical and physical research. Chemists have ere now, I need not say, described experimentation as the putting of questions to Nature. Just so, experiments upon diagrams are questions put to (...) the Nature of the relations concerned (4.530). 1 The diagrammatic nature of mathematical reasoning suggests that as my power to create diagrams increases, so too will my capacity for fruitful mathematical reasoning. Peirce's own work involved an unending series of experiments with different diagrammatic notations, all interesting, some difficult, some extremely fruitful. And the diagrammatic notations available are not only a function of some kind of internal mental activity. As Dewey has noted, Breathing is an affair of the air as truly as of the lungs; digesting an affair of food as truly as of tissues of stomach (Dewey, 15); so analogously is mathematical reasoning an affair of the diagrams available as truly as of the mind (which is then not limited to something inside the head, but includes the relevant diagrams, external as well as internal); so does mathematical reasoning have its alembics and cucurbits just as surely as does chemistry. In doing mathematical reasoning, we make of the diagrams instruments of thought, and advances in the technology of diagrams can directly affect our patterns of reasoning. I can imagine Peirce spending hours (and dollars) in a modern artists' supply store. (shrink)
The paper is concerned with the semantics of knowledge attributions(K-claims, for short) and proposes a position holding that K-claims are contextsensitive that differs from extant views on the market. First I lay down the data a semantic theory for K-claims needs to explain. Next I present and assess three views purporting to give the semantics for K-claims: contextualism, subject-sensitive invariantism and relativism. All three views are found wanting with respect to their accounting for the data. I then propose a hybrid (...) view according to which the relevant epistemic standards for evaluating K-claims are neither those at the context of the subject (subject-sensitive invariantism), nor those at the context of the assessor (relativism), but it is itself an open matter. However, given that we need a principled way of deciding which epistemic standards are the relevant ones, I provide a principle according to which the relevant standards are those that are the highest between those at the context of the subject and those at the context of the assessor/attributor. In the end I consider some objections to the view and offer some answers. (shrink)
Origin of Species was published; he approached the end of his life just before Albert Einstein presented us with General Relativity. His lifetime saw the emergence of psychology as a discipline separate from philosophy, a birth attended by philosopher-psychologists such as his good friend William James. The work of Peirce, like that of the other American Pragmatists, reflects the ferment of the times. His thought bears the imprint of science, not the science of that Nineteenth Century which as Loren Eiseley (...) has remarked, "regarded the 'laws' of nature as imbued with a kind of structural finality, an integral determinism, which it was the scientists’ duty to describe," (Eisele, 1971) but rather, of science as open, as intrinsically revisable, as radically empirical. Working from the model of science in this latter sense, Peirce held that philosophy, and indeed logic.. (shrink)
The roughly two and a half millennia over which we can trace the development of mathematics as a discipline have seen ups and downs in its study; the "ups" have involved varying emphases and interests depending on the problems and the temper of the time. The 19th Century may be characterized as a period of development of rigor and attention to the axiomatic method in mathematics. This focus on the deductive process in mathematics was accompanied by the application of mathematics (...) in the study of the deductive process itself. It is safe, I think, to say that the best-known and most influential of the lines of.. (shrink)
Summary An introductory article, giving first a short historical exposition of philosophical thinking in Russia and Czechoslovakia. Second, basic trends in the Philosophy of Science in Russia and Poland are dealt with, followed by a briefer consideration of similar trends in other East European countries. A special article on Czechoslovakia will be published later. Some original philosophical contributions, especially of Polish philosophers, are mentioned. Supplemented with selected bibliography.
conditional with his discussions of the hypothetical proposition. Peirce spoke often of the consequentia de inesse ,1 the concept of which is intimately linked with the material, or "Philonian" conditional; indeed, we shall see him calling himself a Philonian. And it is not uncommon to hear Peirce—at least prior to the last decade of his life—declared a Philonian, whose fundamental analysis of the conditional was essentially the same as that of Philo (and of more modern types like Russell and like (...) Quine). (shrink)
Gestalt Work--the therapeutic and growth activities that are the practice of Gestalt Therapy--is as varied and difficult to characterize, it would seem, as are the situations that give rise to it. I wish to begin an examination of this activity; our perspective may be called philosophical, but it is a philosophy whose entire raison d'être is its impact on lived experience. As such, it makes free use of the results of experience, including in an important way the methodology and insights (...) of science; indeed, the concepts themselves of Gestalt Psychology lend considerable depth and power to this philosophical approach. (shrink)
Events in the history of thought have often moved as elements of drama—now tense, now tragic, now triumphant. And, it would appear, sometimes ludicrous. This latter is the thrust of a parody which Molière visited upon the savants of his day; he pictures a candidate for a medical degree being solemnly asked why opium puts people to sleep. Just as solemnly and sagaciously, the candidate replies..
Over a decade ago, John Sowa (1984) did the AI community the great service of introducing it to the Existential Graphs of Charles Sanders Peirce. EG is a formalism which lends itself well to the kinds of thing that Conceptual Graphs are aimed at. But it is far more; it is a central element in the mathematical, logical, and philosophical thought of Peirce; this thought is fruitful in ways that are seldom evident when we first encounter it. In one (...) of his major works on Existential Graphs, Peirce remarks that.. (shrink)
The paper deals with one of the key notions in Epicurean epistemology, preconception. Together with perceptions, preconceptions are the second criterion of truth. The aim of the paper is to explore their epistemological status on the basis of their origin and formation. I argue that the process of formation of preconception is purely empirical, since they are produced through repeated perceptions of individual instances of a particular type of thing. Given the way they are formed, I claim that preconceptions are (...) the means by which we recognize types of object and as such are fundamental to Epicurus’ account of how we gain knowledge of things. Exactly this gives them a distinctive criterial role, since preconceptions––unlike perceptions––enable us to engage in the process of interpretation of perceptual content. (shrink)
Given a Mahlo cardinal κ and a regular ε such that $\omega_1 we show that $\diamond_\kappa (cf = \epsilon)$ holds in V provided that there are only non-stationarily many $\beta , with o(β) ≥ ε in K.
Recent discussions on the political role of some 20th Century philosophers and their ideas, from Heidegger to Sartre and Lukacs, offer some new venues for our analysis of the similar role played by some of the classical figures in the history of modem philosophy. We have attempted to review some relevant aspects of Fichte’s philosophy, in particular as to their possible influence on the war supporting ideology created by German intellectuals at the outbreak of the World War I - so-called (...) ideas of Fall 1914.Des discussions récentes sur le rôle politique de certains philosophes du XXe siècle et de leurs idées, de Heidegger à Sartre et Lukacs, offrent de nouvelles avenues pour I’analyse du role similaire qu’auraient joué quelques figures classiques de I’histoire modeme de la philosophie. Nous nous sommes penché sur quelques aspects pertinents de la philosophie fichtéenne, en particulier sur ceux qui serapportent à son influence possible sur l’idéologie belliciste défendue par les intellectuels allemands au début de la Première Guerre mondiale, connue en tant qu’idées d’Automne 1914. (shrink)
We come to the full possession of our power of drawing inferences, the last of all our faculties; for it is not so much a natural gift as a long and difficult art. The history of its practice would make a grand subject for a book. The medieval schoolmen, following the Romans, made logic the earliest of a boy's studies after grammar, as being very easy. So it was as they understood it. Its fundamental principle, according to them, was, that (...) all knowledge rests either on authority or reason; but that whatever is deduced by reason depends ultimately on a premiss derived from authority. Accordingly, as soon as a boy was perfect in the syllogistic procedure, his intellectual kit of tools was held to be complete. (shrink)
We prove that in all Mitchell-Steel core models, □ κ holds for all κ. (See Theorem 2.). From this we obtain new consistency strength lower bounds for the failure of □ κ if κ is either singular and countably closed, weakly compact, or measurable. (Corallaries 5, 8, and 9.) Jensen introduced a large cardinal property that we call subcompactness; it lies between superstrength and supercompactness in the large cardinal hierarchy. We prove that in all Jensen core models, □ κ holds (...) iff κ is not subcompact. (See Theorem 15; the only if direction is essentially due to Jensen.). (shrink)
I address the question of the origins and historical meaning of art. Analyzing suggestions from Marx, Derrida, Winnicott, and Todorov, I claim that art doesn’t simply represent conscious, historical events but is also the continuing presentation of the prehistorical break-up of our “original” human family. Indeed,perpetuating yet distancing this archaic scene of community and violence in tension, art performs this mediation not just in history but also as history, as a secretive historiography of splitting and meaning-making. To this end, I (...) analyze some tribal tattooing and scarring practices. Literally carving a world of metaphorical significance out of our disidentification with mother nature and with each other in turn, art speaks hieroglyphically of persistent primitive loss. (shrink)
This paper sketches out Peirce's "theory of indeterminacy" as part of a larger "triadic" theory within the context of the semiotic. It then examines the theory of the object in his later work, emphasizing the difference between immediate and dynamical object. The role of collateral experience is discussed. Connections are drawn between Peircean indeterminacy and Kant. The relationship of the indeterminate to contradiction and excluded middle is discussed. 'Determination', 'vagueness', and 'generality' are discussed in detail in the context established in (...) this paper. (shrink)
A set of axioms implicitly defining the standard, though not instant-based but interval-based, time topology is used as a basis to build a temporal modal logic of events. The whole apparatus contains neither past, present, and future operators nor indexicals, but only B-series relations and modal operators interpreted in the standard way. Determinism and indeterminism are then introduced into the logic of events via corresponding axioms. It is shown that, if determinism and indeterminism are understood in accordance with their core (...) meaning, the way in which they are formally introduced here represents the only right way to do this, given that we restrict ourselves to one real world and make no use of the many real worlds assumption. But then the result is that the very truth conditions for sentences about indeterministic events imply the existence of tensed truths, in spite of the fact that these conditions are formulated (in the indeterministic axiom) in terms of tenseless language. The tenseless theory of time implies determinism, while indeterminism requires the flow of time assumption. (shrink)
Starting from the generalized concept of syntactically and semantically trivial differences between two formal theories introduced by Arsenijević, we show that two systems of the linear continuum, the Cantorian point-based system and the Aristotelian interval-based system that satisfies Cantor's coherence condition, are only trivially different. So, the 'great struggle' (to use Cantor's phrase) between the two contending parties turns out to be 'much ado about nothing'.
This volume provides analyses of the logic-reality relationship from different approaches and perspectives. The point of convergence lies in the exploration of the connections between reality – social, natural or ideal – and logical structures employed in describing or discovering it. Moreover, the book connects logical theory with more concrete issues of rationality, normativity and understanding, thus pointing to a wide range of potential applications. -/- -/- The papers collected in this volume address cutting-edge topics in contemporary discussions amongst specialists. (...) Some essays focus on the role of indispensability considerations in the justification of logical competence, and the wide range of challenges within the philosophy of mathematics. Others present advances in dynamic logical analysis such as extension of game semantics to non-logical part of vocabulary and development of models of contractive speech act. -/- Table of Contents: Introduction: Majda Trobok, Nenad Miščević and Berislav Žarnić.- I. Logical and Mathematical Structures.- Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics: Stewart Shapiro.- Applied Mathemathics in the Sciences: Dale Jacquette.- The Philosophical Impact of the Löwenheim-Skolem Theorem: Miloš Arsenijević.- Debating (Neo)logicism: Frege and the neo-Fregeans: Majda Trobok.- II. Epistemology and Logic.- Informal Logic and Informal Consequence: Danilo Šuster.- Logical Consequence and Rationality: Nenad Smokrović.- Logic, Indispensability and Aposteriority: Nenad Miščević.- III . Dynamic Logical Models of Meaning.- Extended Game-Theoretical Semantics: Manuel Rebuschi.- Dynamic Logic of Propositional Commitments: Tomoyuki Yamada.- Is Unsaying Polite?: Berislav Žarnić.- IV Logical Methods in Ontological and Linguistic Analyses.- Towards a Formal Account of Identity Criteria: Massimiliano Carrara and Silvia Gaio.- A Mereology for the Change of Parts: Pierdaniele Giaretta and Giuseppe Spolaore.- Russell versus Frege: Imre Rusza.- Goodman’s OnlyWorld: Vladan Djordjević.-. (shrink)
Studies on the development of cell populations are often based on results of the theory of stochastic birth- and death-processes (continuous or discrete (seee.g. references inVogel, Niewisch &Matioli (1969), in some cases, death may be interpreted not as actual death of the cell bute.g. as a recruitment of the cell considered into another cell compartment, etc.). It is usually assumed that the conditions for the development are homogeneous,i.e. that the probabilities of births and deaths are independent on the time. However, (...) in most situations, this assumption is not fulfilled (owing to the maturation and differentiation of cells, changes of the microenvironment, inducing factors, etc.). Then it is necessary to study the development of cell populations under non-homogeneous conditions. In this paper, some properties of appropriate birth- and death-processes under nonhomogeneous conditions are studied; formulae given in section 4 permit calculation of some characteristics describing the cell population size distribution at individual discrete epochs (at individual generations) during the development of the cell population considered. (shrink)
The NHS is an institution of great importance to everybody in the UK - not only doctors, nurses and other health professionals, but also to patients, carers and their families. However, problems within the NHS are regularly reported in the media and we are all anxious about waiting lists, about whether potential illnesses will be identified treated in time, about bleeding to death on trollies in corridors or being struck down by antibiotic-resistant superbugs. This engaging book aims to explore and (...) simplify the issues from both sides of the NHS - professionals and patients - and to improve mutual understanding of the problems, which will hopefully spark an open debate about the future of health service provision. The book uses an innovative fictionalized account of the experiences of 'case study' individuals in the healthcare system, including a GP with depression, a woman with MS and a hospital manager whose wife has cancer. This book will be essential and enjoyable reading for anyone workingwithin the healthcare system, as well as patients and their families and anyone interested in the workings of the NHS. (shrink)
picture and image of the universe? How much can he mirror of the illimitable cosmos, material and spiritual, knowable or unknowable? How much can he realize the abstruse relation between its two antithetical but complementary sides? That is how to judge in any deeper and wider sense of a brain and its capacity. I was talking once in a London drawing-room with Cotter Morison and a famous and able literary hostess. I happened to say, as I say now, that Spencer (...) seemed to me by far the greatest mind I had ever met with. “What?” cried the lady surprised; “would you put him above George Eliot?” To me, I confess, the question seemed almost ludicrous. Imaginative work is beautiful and attractive, just as artistic work is; but to suppose it can be put on a par, so far as the measure of intellect is concerned, with scientific or philosophic work seems to me to betoken a certain lack of just standards of capacity. “Vanity Fair” is great in its way; and its way is just as incommensurate with the greatness of the “Principia” or of the “Principles of Biology” as is the greatness of the Transfiguration or the Venus of Milos. But if we want to measure minds, as minds, one against another, I say fearlessly that scientific and philosophic grasp is the one true standard of the highest attainment, and that no man who ever yet trod our planet gave proof of such mastery in both these lines as Herbert Spencer. (shrink)
A maximal almost disjoint (mad) family $\mathscr{A} \subseteq [\omega]^\omega$ is Cohen-stable if and only if it remains maximal in any Cohen generic extension. Otherwise it is Cohen-unstable. It is shown that a mad family, A, is Cohen-unstable if and only if there is a bijection G from ω to the rationals such that the sets G[A], A ∈A are nowhere dense. An ℵ 0 -mad family, A, is a mad family with the property that given any countable family $\mathscr{B} \subset (...) [\omega]^\omega$ such that each element of B meets infinitely many elements of A in an infinite set there is an element of A meeting each element of B in an infinite set. It is shown that Cohen-stable mad families exist if and only if there exist ℵ 0 -mad families. Either of the conditions b = c or $\mathfrak{a} ) implies that there exist Cohen-stable mad families. Similar results are obtained for splitting families. For example, a splitting family, S, is Cohen-unstable if and only if there is a bijection G from ω to the rationals such that the boundaries of the sets G[S], S ∈S are nowhere dense. Also, Cohen-stable splitting families of cardinality ≤ κ exist if and only if ℵ 0 -splitting families of cardinality ≤ κ exist. (shrink)
The moralistic term ‘wickedness’ has fallen on hard times. Part of the problem is that the term and its cognates are ambiguous and some uses of the term are clearly harmless or rather mild terms of disapprobation: a harsh winter might be described as a “wicked season”; informally, a particularly talented musician might be said to have performed a “wicked solo” or described as being “wicked awesome!” and so forth. However, ‘wicked’ is also associated with synonyms like ‘ungodly’ and ‘blasphemous’ (...) and ‘impious’ —terminology that perhaps belongs to an outdated or parochial moral vernacular. Still, some of our best moral philosophers—no less than Stanley Benn, Joel Feinberg and Ronald Milo—have found the subject interesting and relevant enough to distinguish varieties of wickedness. One reason to reconsider the concept of wickedness is because they have. Another reason to reconsider the concept of wickedness is because further reflection on it might reveal something about the concept of evil. More specifically, reconsidering wickedness might reveal something about what evil people are like. Or so I shall argue. Indeed, one standard primary definition of the term equates wickedness with being “evil or morally wrong.” Essentially, I shall argue that the term, appropriately understood, is perfectly adequate—that the conception of wickedness that emerges from Milo and Feinberg and especially Benn illuminates what it is to be an evil person. (shrink)
In this paper we discuss the scientific value of the human genome project. To what extent is the data obtained by sequencing the entire human genome useful in the gene dicovery process? Responding to Alex Rosenberg' skepticism about the value of such data, we maintain that brute sequence data is much more useful than he suggests.
