A sequence generator is a finite graph, more general than, but akin to, the usual state diagram associated with a finite automaton. The nodes of a sequence generator represent complete states, and each node is labeled with an input and an output state. An element of the behavior of a sequence generator is obtained by taking the input and output states along an infinite path of the graph.Sequence generators may be associated with formulas of the monadic predicate calculus, in which (...) the individual variables range over the times 0, 1, 2, 3, [middle dot][middle dot][middle dot], and the predicate variables represent complete states, input states, and output states. An unrestricted singulary recursion is a formula in which the complete state at time [tau] + 1 is expressed as a truth-function of the complete state at time [tau] and the input states from times [tau] + 1 to [tau] + h. Necessary and sufficient conditions are given for a formula derived from a sequence generator being equivalent to an unrestricted singulary recursion. (shrink)
Recent scholarship (Goodwin & Darley, 2008) on the meta-ethical debate between objectivism and relativism has found people to be mixed: they are objectivists about some issues, but relativists about others. The studies discussed here sought to explore this further. Study 1 explored whether giving people the ability to identify moral issues for themselves would reveal them to be more globally objectivist. Study 2 explored people's meta-ethical commitments more deeply, asking them to provide verbal explanations for their judgments. This revealed that (...) while people think they are relativists, this may not always be the case. The explanations people gave were sometimes rated by outside (blind) coders as being objective, even when given a relativist response. Nonetheless, people remained meta-ethical pluralists. Why this might be is discussed. (shrink)
We are reporting on how involved the mentor was in promoting responsible research in cases of research misconduct. We reviewed the USPHS misconduct files of the Office of Research Integrity. These files are created by Institutions who prosecute a case of possible research misconduct; ORI has oversight review of these investigations. We explored the role of the mentor in the cases of trainee research misconduct on three specific behaviors that we believe mentors should perform with their trainee: (1) review source (...) data, (2) teach specific research standards and (3) minimize stressful work situations. We found that almost three quarters of the mentors had not reviewed the source data and two thirds had not set standards. These two behaviors are positively correlated. We did not see convincing evidence in the records that mentors were causing stress, but it was apparent in the convicted trainees’ confessions that over 50% experienced some kind of stress. Secondary data, while not created for this research purpose, allows us to look at concrete research behaviors that are otherwise not very researchable. We believe it is important for mentors and institutions to devote more attention to teaching mentors about the process of education and their responsibilities in educating the next generation of scientists. This becomes a critical issue for large research groups who need to determine who is in charge educating, supervising and assuring data integrity. (shrink)
In list-method directed forgetting, reexposure to forgotten List 1 items has been shown to reduce directed forgetting. proposed that reexposure to a few List 1 items only during a direct test of memory reinstates the entire List 1 episode. In the present experiments, part-list reexposure in the context of indirect as well as direct memory tests reduced directed forgetting. Directed forgetting was reduced when 50% or more of the items were reexposed, and was intact when only 25% were reexposed. Furthermore, (...) part-list reexposure appeared to reinstate only reexposed items-not the entire List 1 episode. (shrink)
Western thought has for several hundred years been plagued by the reductionist malady, one form of which is that men and animals are nothing but complex machines. Having failed in this direction, some have invented machines and then promptly endowed them with human attributes. Plato would have been charmed by the ironic twist Other cases include electric current flow, which it appears we have to conceive as consisting of three dimensional objects in motion, the strange idea in biology that the (...) first living entity must be both simple and astonishingly complex, and the psychological notion that every notion is the consequent of antecedent causal chains. All four ideas involve basic contradictions which it would have delighted Socrates and his friends to discuss. (shrink)
Transitive inference is claimed to be “deductive”. Yet every group/species ever reported apparently uses it. We asked 58 adults to solve five-term transitive tasks, requiring neither training nor premise learning. A computer-based procedure ensured all premises were continually visible. Response accuracy and RT (non-discriminative nRT ) were measured as is typically done. We also measured RT confined to correct responses ( cRT ). Overall, very few typical transitive phenomena emerged. The symbolic distance effect never extended to premise recall and was (...) not at all evident for nRT ; suggesting the use of non-deductive end-anchor strategies. For overall performance, and particularly the critical B ? D inference, our findings indicate that deductive transitive inference is far more intellectually challenging than previously thought. Contrasts of our present findings against previous findings suggest at least two distinct transitive inference modes, with most research and most computational models to date targeting an associative mode rather than their desired deductive mode. This conclusion fits well with the growing number of theories embracing a “dual process” conception of reasoning. Finally, our differing findings for nRT versus cRT suggest that researchers should give closer consideration to matching the RT measure they use to the particular conception of transitive inference they pre-held. (shrink)
Transitive inference is claimed to be “deductive”. Yet every group/species ever reported apparently uses it. We asked 58 adults to solve five-term transitive tasks, requiring neither training nor premise learning. A computer-based procedure ensured all premises were continually visible. Response accuracy and RT (non-discriminative nRT ) were measured as is typically done. We also measured RT confined to correct responses ( cRT ). Overall, very few typical transitive phenomena emerged. The symbolic distance effect never extended to premise recall and was (...) not at all evident for nRT ; suggesting the use of non-deductive end-anchor strategies. For overall performance, and particularly the critical B ? D inference, our findings indicate that deductive transitive inference is far more intellectually challenging than previously thought. Contrasts of our present findings against previous findings suggest at least two distinct transitive inference modes, with most research and most computational models to date targeting an associative mode rather than their desired deductive mode. This conclusion fits well with the growing number of theories embracing a “dual process” conception of reasoning. Finally, our differing findings for nRT versus cRT suggest that researchers should give closer consideration to matching the RT measure they use to the particular conception of transitive inference they pre-held. (shrink)
Abstract In order to explore the relationship between moral reasoning and conduct, 38 Grade Six students, deemed by their teachers to display ?delinquent? or ?non?delinquent? characteristics, were administered Kohlberg's Moral Judgment Instrument (Kohlberg et al., 1973) and an IQ test. Subjects were then randomly assigned to three treatment groups: a) experimental??discussion of moral dilemmas; b) placebo??social studies games; c) control. A month later Kohlberg's instrument was readministered. Findings indicated that ?delinquents? and ?non?delinquents? differed significantly (p = .001) on moral reasoning (...) scores at both testing times. There was no statistically significant treatment effect (p = .06). Intelligence quotient was significantly and positively related to moral reasoning for ?non?delinquents?, but not for ?delinquents? (shrink)
The over-arching theme is that we can redeem Frege's key philosophical insights concerning (natural and real) numbers and our knowledge of them, despite Russell's famous discovery of paradox in Frege's own theory of classes. That paradox notwithstanding, numbers are still logical objects, in some sense created or generated by methods or principles of abstractionââ¬â which of course cannot be as ambitious as Frege's Basic Law U. These principles not only bring numbers into existence, as it were, but also afford a (...) distinctive form of epistemic access to them. The usual mathematical axioms governing the two kinds of numbers are to be derived as results in (higher-order) logic. These derivations will exploit appropriate definitions of the primitive constants, functions, and predicates of the brand of number theory concerned. (For example: 0, 1; s, +, x; (; N(z); R(z).) No supplementation by intuition or sensory experience will be needed in the derivations of these axioms. The trains of reasoning involved will depend only on our grasp of logical validities, supplemented by appropriate definitions. Result: logicism is vindicated; and the mathematical knowledge derived in this way is revealed to be analytic, not synthetic. (shrink)
This is an anthology of ?fteen papers concerning various philosophical problems related to the topic of self-knowledge. All but one of the papers were previously unpublished, and all but two are descendants of presentations at a conference on self-knowledge held at the University of St Andrews in 1995. The collection.
In “Truth – A Traditional Debate Reviewed” (1999), Crispin Wright proposed an inductive definition of “coherence truth” for arithmetic relative to an arithmetic base theory B. Wright’s definition is in fact a notational variant of the usual Tarskian inductive definition, except for the basis clause for atomic sentences. This paper provides a model-theoretic characterization of the resulting sets of sentences "cohering" with a given base theory B. These sets are denoted WB. Roughly, if B satisfies a certain minimal (...) condition (for each term t, B proves an equation of the form t = n, where n is a numeral), then WB is the Th(M), where M is the canonical model of the set At(B) of atomic sentences provable in B. The paper also shows that the disquotational T-scheme is provable (in a metatheory T) from Wright’s inductive definition just in case the base theory B is (provably in T) sound and complete for arithmetic atomic sentences. (shrink)
This paper considers recent heated debates led by Jerry A. Coyne andMichael J. Wade on issues stemming from the 1929–1962 R.A. Fisher-Sewall Wrightcontroversy in population genetics. William B. Provine once remarked that theFisher-Wright controversy is central, fundamental, and very influential.Indeed,it is also persistent. The argumentative structure of therecent (1997–2000) debates is analyzed with the aim of eliminating a logicalconflict in them, viz., that the two sides in the debates havedifferent aims and that, as such, they are talking past each (...) other. Given aphilosophical analysis of the argumentative structure of the debates,suggestions supportive of Wade's work on the debate are made that areaimed, modestly, at putting the persistent Fisher-Wright controversy on thecourse to resolution. (shrink)
There have been two different schools of thought on the evolution of dominance. On the one hand, followers of Wright [Wright S. 1929. Am. Nat. 63: 274–279, Evolution: Selected Papers by Sewall Wright, University of Chicago Press, Chicago; 1934. Am. Nat. 68: 25–53, Evolution: Selected Papers by Sewall Wright, University of Chicago Press, Chicago; Haldane J.B.S. 1930. Am. Nat. 64: 87–90; 1939. J. Genet. 37: 365–374; Kacser H. and Burns J.A. 1981. Genetics 97: 639–666] have defended (...) the view that dominance is a product of non-linearities in gene expression. On the other hand, followers of Fisher [Fisher R.A. 1928a. Am. Nat. 62: 15–126; 1928b. Am. Nat. 62: 571–574; Bürger R. 1983a. Math. Biosci. 67: 125–143; 1983b. J. Math. Biol. 16: 269–280; Wagner G. and Burger R. 1985. J. Theor. Biol. 113: 475–500; Mayo O. and Reinhard B. 1997. Biol. Rev. 72: 97–110] have argued that dominance evolved via selection on modifier genes. Some have called these “physiological” versus “selectionist,” or more recently [Falk R. 2001. Biol. Philos. 16: 285–323], “functional,” versus “structural” explanations of dominance. This paper argues, however, that one need not treat these explanations as exclusive. While one can disagree about the most likely evolutionary explanation of dominance, as Wright and Fisher did, offering a “physiological” or developmental explanation of dominance does not render dominance “epiphenomenal,” nor show that evolutionary considerations are irrelevant to the maintenance of dominance, as some [Kacser H. and Burns J.A. 1981. Genetics 97: 639–666] have argued. Recent work [Gilchrist M.A. and Nijhout H.F. 2001. Genetics 159: 423–432] illustrates how biological explanation is a multi-level task, requiring both a “top-down” approach to understanding how a pattern of inheritance or trait might be maintained in populations, as well as “bottom-up” modeling of the dynamics of gene expression. (shrink)
Crispin Wright hat die bislang beste Rekonstruktion von Putnams Beweis gegen die skeptische Hypothese vom Gehirn im Tank vorgelegt. Aber selbst in Wrights Fassung hat der Beweis einen Mangel: Er wird mithilfe eines Prädikates wie z.B. "Tiger" geführt und funktioniert nur, wenn man sich darauf verlassen kann, dass es Tiger wirklich gibt. Aber die Skeptikerin bestreitet, über die Existenz von Tigern bescheid zu wissen. Das Problem lässt sich dadurch beheben, dass man den Beweis – statt mit dem extensionalen Begriff (...) der Referenz (wie bei Wright) – mit Intensionen führt. Zudem sollte der Beweis transzendental laufen, also einzig und allein auf den sprachlichen Voraussetzungen beruhen, die auch die Skeptikerin zur Formulierung ihrer Tank-Hypothese benötigt. -/- The best reconstruction of Putnam's brain-in-a-vat argument is due to Crispin Wright. But even Wright's version of the argument is not convincing. It employs predicates such as 'tiger' and reaches the conclusion only if we can rely upon the existence of tigers; and the skeptic disputes our knowledge regarding tigers. The problem is not insuperable: The argument must be run, not with the extensionalistic notion of reference (as in Wright's version), but with intensions. Furthermore, the argument should have a transcendental form; it should exclusively rely on conditions that are needed by the skeptic for formulating her own position. (shrink)
Western civilization has experienced the birth of many philosophical movements. Most of these have had their origin in a particular geographical area. One usually refers to the "Continental Rationalists." the "British Empiricists." and the "American Pragmatists." Just as "Rationalism" is said to have been created in Great Britain, it is usually said that "Pragmatism" was born in America. One speaks of pragmatism as "characteristically American." The date of birth of pragmatism in America has been pin-pointed. Its genesis came about during (...) the early part of "The Classical Period in American Philosophy," a period extending from about 1870 to 1910. Both Perry and Wiener 2 have stated that in the United States the movement arose during the 1870's due in part to conversations held by James, Peirce, Wright, Holmes, Fiske, and others at the meetings in Cambridge of an organization called "The Metaphysical Club." At these gatherings the main scientific and philosophical ideas of the day were discussed, and these men produced "American Pragmatism," in part from these discussions, and in part from independent work. Although the birth of pragmatism in America has been quite thoroughly examined, the genesis of pragmatism in Europe has been only sparsely written about. There were many writers in Europe who were associated with the pragmatic movement. In Italy there were... (shrink)
Mathematical fictionalism (or as I'll call it, fictionalism) is best thought of as a reaction to mathematical platonism. Platonism is the view that (a) there exist abstract mathematical objects (i.e., nonspatiotemporal mathematical objects), and (b) our mathematical sentences and theories provide true descriptions of such objects. So, for instance, on the platonist view, the sentence ‘3 is prime’ provides a straightforward description of a certain object—namely, the number 3—in much the same way that the sentence ‘Mars is red’ provides a (...) description of Mars. But whereas Mars is a physical object, the number 3 is (according to platonism) an abstract object. And abstract objects, platonists tell us, are wholly nonphysical, nonmental, nonspatial, nontemporal, and noncausal. Thus, on this view, the number 3 exists independently of us and our thinking, but it does not exist in space or time, it is not a physical or mental object, and it does not enter into causal relations with other objects. This view has been endorsed by Plato, Frege (1884, 1893-1903, 1919), Gödel (1964), and in some of their writings, Russell (1912) and Quine (1948, 1951), not to mention numerous more recent philosophers of mathematics, e.g., Putnam (1971), Parsons (1971), Steiner (1975), Resnik (1997), Shapiro (1997), Hale (1987), Wright (1983), Katz (1998), Zalta (1988), and Colyvan (2001). (shrink)
This collection of ground-breaking essays considers the many dimensions of prayer: how prayer relates us to the divine; prayer's ability to reveal what is essential about our humanity; the power of prayer to transform human desire and action; and the relation of prayer to cognition. It takes up the meaning of prayer from within a uniquely phenomenological point of view, demonstrating that the phenomenology of prayer is as much about the character and boundaries of phenomenological analysis as it is about (...) the heart of religious life.The contributors: Michael F. Andrews, Bruce Ellis Benson, Mark Cauchi, Benjamin Crowe, Mark Gedney, Philip Goodchild, Christina M. Gschwandtner, Lissa McCullough, Cleo McNelly Kearns, Edward F. Mooney, B. Keith Putt, Jill Robbins, Brian Treanor, Merold Westphal, Norman Wirzba, Terence Wright and Terence and James R. Mensch. Bruce Ellis Benson is Associate Professor of Philosophy at Wheaton College. He is the author of Graven Ideologies: Nietzsche, Derrida, and Marion on Modern Idolatry and The Improvisation of Musical Dialogue: A Phenomenology of Music. Norman Wirzba is Associate Professor and Chair of the Philosophy Department at Georgetown College, Kentucky. He is the author of The Paradise of God and editor of The Essential Agrarian Reader. (shrink)
Quine (1960, "Word and object". Cambridge, Mass.: MIT Press, ch. 2) claims that there are a variety of equally good schemes for translating or interpreting ordinary talk. 'Rabbit' might be taken to divide its reference over rabbits, over temporal slices of rabbits, or undetached parts of rabbits, without significantly affecting which sentences get classified as true and which as false. This is the basis of his famous 'argument from below' to the conclusion that there can be no fact of the (...) matter as to how reference is to be divided. Putative counterexamples to Quine's claim have been put forward in the past (see especially Evans (1975, "Journal of Philosophy", LXXII(13), 343-362. Reprinted in McDowell (Ed.), "Gareth Evans: Collected papers." Oxford: Clarendon Press.), Fodor (1993, "The elm and the expert: Mentalese and its semantics." Cambridge, MA: Bradford)), and various patches have been suggested (e. g. Wright (1997, The indeterminacy of translation. In C. Wright & B. Hale (Eds.), "A companion to the philosophy of language" (pp. 397-426). Oxford: Blackwell)). One lacuna in this literature is that one does not find any detailed presentation of what exactly these interpretations are supposed to be. Drawing on contemporary literature on persistence, the present paper sets out detailed semantic treatments for fragments of English, whereby predicates such as 'rabbit' divide their reference over four-dimensional continuants (Quine's rabbits), instantaneous temporal slices of those continuants (Quine's rabbitslices) and the simple elements which compose those slices (undetached rabbit parts) respectively. Once we have the systematic interpretations on the table, we can get to work evaluating them. (shrink)
The thirty-three essays in <I>Relativism: A Contemporary Anthology</I> grapple with one of the most intriguing, enduring, and far-reaching philosophical problems of our age. Relativism comes in many varieties. It is often defined as the belief that truth, goodness, or beauty is relative to some context or reference frame, and that no absolute standards can adjudicate between competing reference frames. Michael Krausz's anthology captures the significance and range of relativistic doctrines, rehearsing their virtues and vices and reflecting on a spectrum of (...) attitudes. Invoking diverse philosophical orientations, these doctrines concern conceptions of relativism in relation to facts and conceptual schemes, realism and objectivity, universalism and foundationalism, solidarity and rationality, pluralism and moral relativism, and feminism and poststructuralism. Featuring nine original essays, the volume also includes many classic articles, making it a standard resource for students, scholars, and researchers. <B>Table of Contents:</B> Foreword by Alan Ryan Preface Introduction Michael Krausz <B>Part I. Orienting Relativism</B> 1. Mapping Relativisms Michael Krausz 2. A Brief History of Relativism Maria Baghramian <B>Part II. Relativism, Truth, and Knowledge</B> 3. Subjective, Objective, and Conceptual Relativisms Maurice Mandelbaum 4. “Just the Facts, Ma’am!” Nelson Goodman 5. Relativism in Philosophy of Science Nancy Cartwright 6. The Truth About Relativism Joseph Margolis 7. Making Sense of Relative Truth John MacFarlane 8. On the Very Idea of a Conceptual Scheme Donald Davidson 9. Truth and Convention: On Davidson’s Refutation of Conceptual Relativism Hilary Putnam 10. Conceptual Schemes Simon Blackburn 11. Relativizing the Facts Paul A. Boghossian 12. Targets of Anti-Relativist Arguments Harvey Siegel 13. Realism and Relativism Akeel Bilgrami <B>Part III. Moral Relativism, Objectivity, and Reasons</B> 14. Moral Relativism Defended Gilbert Harman 15. The Truth in Relativism Bernard Williams 16. Pluralism and Ambivalence David B. Wong 17. The Relativity of Fact and the Objectivity of Value Catherine Z. Elgin 18. Senses of Moral Relativity David Wiggins 19. Ethical Relativism and the Problem of Incoherence David Lyons 20. Understanding Alien Morals Gopal Sreenivasan 21. Value: Realism and Objectivity Thomas Nagel 22. Intuitionism, Realism, Relativism, and Rhubarb Crispin Wright 23. Moral Relativism and Moral Realism Russ Schafer-Landau <B>Part IV. Relativism, Culture, and Understanding</B> 24. Anti Anti-Relativism Clifford Geertz 25. Solidarity or Objectivity? Richard Rorty 26. Relativism, Power, and Philosophy Alasdair MacIntyre 27. Internal Criticism and Indian Rationalist Traditions Martha C. Nussbaum and Amartya Sen 28. Phenomenological Rationality and the Overcoming of Relativism Jitendra N. Mohanty 29. Understanding and Ethnocentricity Charles Taylor 30. Relativism and Cross-Cultural Understanding Kwame Anthony Appiah 31. Relativism, Persons, and Practices Amélie Oksenberg Rorty 32. One What? Relativism and Poststructuralism David Couzens Hoy 33. Must a Feminist Be a Relativist After All? Lorraine Code List of Contributors Index. (shrink)
Three clusters of philosophically significant issues arise from Frege's discussions of definitions. First, Frege criticizes the definitions of mathematicians of his day, especially those of Weierstrass and Hilbert. Second, central to Frege's philosophical discussion and technical execution of logicism is the so-called Hume's Principle, considered in The Foundations of Arithmetic . Some varieties of neo-Fregean logicism are based on taking this principle as a contextual definition of the operator 'the number of …', and criticisms of such neo-Fregean programs sometimes appeal (...) to Frege's objections to contextual definitions in later writings. Finally, a critical question about the definitions on which Frege's proofs of the laws of arithmetic depend is whether the logical structures of the definientia reflect our pre-Fregean understanding of arithmetical terms. It seems that unless they do, it is unclear how Frege's proofs demonstrate the analyticity of the arithmetic in use before logicism. Yet, especially in late writings, Frege characterizes the definitions as arbitrary stipulations of the senses or references of expressions unrelated to pre-definitional understanding. One or more of these topics may be studied in a survey course in the philosophy of mathematics or a course on Frege's philosophy. The latter two topics are obviously central in a seminar in the philosophy of mathematics in general or more specialized seminars on logicism, or on mathematical definitions and concept formation. Author Recommends: 1. Kant, Immanuel. Critique of Pure Reason . Trans. P. Guyer and A. Wood. Cambridge: Cambridge University Press, 1999 [1781, 1787], A7-10/B11-14, A151/B190. In the first Critique , Kant appears to give four distinct accounts of analytic judgments. The initial famous account explains analyticity in terms of the predicate-concept belonging to the subject-concept (A6–7/B11). In this passage, we also find an account of establishing analytic judgments on the basis of conceptual containments and the principle of non-contradiction. (The other accounts are in terms of 'identity' (A7/B1l), in terms of the explicative–ampliative contrast (A7/B11), and by reference to the notion of 'cognizability in accordance with the principle of contradiction' (A151/B190).) 2. Frege, Gottlob. The Foundations of Arithmetic . Trans. J. L. Austin. 2nd ed. Evanston, IL: Northwestern University Press, 1980 [1884], especially sections 1–4, 87–91. Frege here criticizes and reformulates Kant's account of analyticity. Central to Frege's account is the provability of an analytic statement on the basis of (Frege's) logic and definitions that express analyses of (mathematical, especially arithmetical) concepts. 3. Frege, Gottlob. Review of E. G. Husserl. 'Philosophie der Arithmetik I [1894],' in Frege, Collected Papers . Ed. B. McGuinness. Trans. M. Black et al. Oxford: Blackwell, 1984. 195–209. In this review, Frege responds to Husserl's charge that Frege's definitions fail to capture our intuitive pre-analytic arithmetical concepts by claiming that the adequacy of mathematical definitions is measured, not by their expressing the same senses, but merely by their having the same references, as pre-definitional vocabulary. It follows not only that Husserl's criticism is unfounded, but also that there can be alternative, equally legitimate, definitions of mathematical terms. 4. Frege, 'Logic in Mathematics,' in Frege, Posthumous Writings . Trans. P. Long and R. White. Oxford: Blackwell, 1979 [1914]. 203–50. These are a set of lecture notes including, among other things, an account of proper definitions as mere abbreviation of complex signs by simple ones, in contrast to definitions which purport to express the analyses of existing concepts. Frege here claims that if there is any doubt whether a definition purporting to express an analysis succeeds in capturing the senses of the pre-definitional expressions, then the definition fails as an analysis, and should be regarded as the introduction of an entirely new expression abbreviating the definiens . 5. Picardi, Eva. 'Frege on Definition and Logical Proof,' Temi e Prospettive della Logica e della Filosofia della Scienza Contemporanee . i vol. Eds. C. Cellucci and G. Sambin. Bologna: Cooperativa Libraria Universitaria Editrice Bologna, 1988. 227–30. Picardi sets out forcefully the view that unless Frege's definitions capture the meanings of existing arithmetical terms, his logicism cannot have the epistemological significance he takes it to have. 6. Dummett, Michael. 'Frege and the Paradox of Analysis,' in Dummett, Frege and other Philosophers . Oxford: Oxford University Press, 1991. 17–52. Dummett agrees with Picardi's view and analyzes the philosophical pressures that led Frege to the account of definition in 'Logic in Mathematics.' Especially significant is Dummett's claim of the centrality of the transparency of sense – that if one grasps the senses of any two expressions, one must know whether they have the same sense – in Frege's account. 7. Benacerraf, Paul. 'Frege: The Last Logicist,' Midwest Studies in Philosophy . vol. 6. Eds. P. French, T. Uehling, and H. Wettstein. Minneapolis: University of Minnesota Press, 1981. 17–35. Frege's aims, on Benacerraf's reading, are primarily mathematical. Frege was interested in traditional philosophical issues such as the analyticity of arithmetic only to the extent that they can be exploited for the mathematical goal of proving previously unproven arithmetical statements. Hence, Frege never had any serious interest in or need for showing that his definitions of arithmetical terms reflect existing arithmetical conceptions. 8. Weiner, Joan. 'The Philosopher Behind the Last Logicist,' in Frege: Tradition and Influence . Ed. C. Wright. Oxford: Blackwell, 1984. 57–79. Weiner argues that on Frege's view, prior to his definitions of arithmetical terms the references of such expressions are in fact not known by those who use arithmetical vocabulary. Thus, in Foundations , Frege operated with a 'hidden agenda' (263) namely, replacing existing arithmetic with a new science based on stipulative definitions that assign new senses to key arithmetical terms. 9. Tappenden, Jamie. 'Extending Knowledge and 'Fruitful Concepts': Fregean Themes in the Foundations of Mathematics.' Noûs 29 (1995): 427–67. Tappenden argues that Frege takes his crucial innovation over previous practices and accounts of mathematical concept formation to be the role of quantificational structure made possible by his logical discoveries. 10. Horty, John. Frege on Definitions: A Case Study of Semantic Content . Oxford: Oxford University Press, 2007. A useful interpretation of Frege's views of definition, together with suggestive extensions for resolving the issues framing Frege's views. 11. Shieh, Sanford. 'Frege on Definitions,' Philosophy Compass 3/5 (2008): 992–1012. A more detailed account of Frege's views on definition and the philosophical issues they raise, surveying and discussing critically the main substantive and interpretive issues. Online Materials On Frege http://plato.stanford.edu/entries/frege/ On the Paradox of Analysis http://plato.stanford.edu/entries/analysis/ Sample Syllabus The following is a 3-week module that can be incorporated into fairly focused historically oriented graduate-level seminars on logicism or on the paradox of analysis. It is also possible to compress the material into 2 weeks in an undergraduate or graduate class Frege's thought in general. Week I: Background, Kant on Analyticity; Definition in Foundations , Review of Husserl, and 'Logic in Mathematics' Readings Kant, Immanuel. Critique of Pure Reason , A7–10/B11–14. Frege, Gottlob. The Foundations of Arithmetic , sections 1–4, 87–91. Frege, Gottlob. Review of E. G. Husserl, Philosophie der Arithmetik I. Frege, Gottlob. 'Logic in Mathematics.' Optional Proops, Ian. 'Kant's Conception of Analytic Judgment,' Philosophy and Phenomenological Research LXX, 3 (2005): 588–612. Week II: The Supposed Paradox of Analysis, Picardi and Dummett; Bypassing Traditional Epistemological Issues About Mathematics, Benacerraf Readings Picardi, Eva. 'Frege on Definition and Logical Proof.' Dummett, Michael. 'Frege and the Paradox of Analysis.' Benacerraf, Paul. 'Frege: The Last Logicist.' Optional Tappenden, Jamie. 'Extending Knowledge and 'Fruitful Concepts': Fregean Themes in the Foundations of Mathematics.' Week III: Weiner's Hidden Agenda Interpretation Readings Weiner, Joan. 'The Philosopher Behind the Last Logicist.' Optional Weiner, Joan. Frege in Perspective . Ithaca, NY: Cornell University Press, 1990. Focus Questions 1. To what extent is Frege's account of analyticity in Foundations a rejection, and to what extent an updating, of Kant's view of analyticity? 2. According to Picardi it 'would be incomprehensible' how Frege's proofs tells us anything about the arithmetic we already have unless his 'definitions [are] somehow responsible to the meaning of [arithmetical] sentences as these are understood' (228). Why does she hold this? Why does Dummett agree with her? Do you think Frege's logicism needs to address this worry? 3. What are the major differences and continuities in Frege's discussions of definition in mathematics in Foundations , the review of Husserl and 'Logic in Mathematics'? 4. Frege writes that definitions must prove their worth by being fruitful. He also says that nothing can be proven using a proper definition that cannot be proven without it. Are these claims consistent? Why or why not? 5. Weiner held that in Foundations Frege had 'hidden agenda.' What, according to her, is this agenda? How does this fit with Frege's later views of definition? 6. What are Frege's main complaints about Weierstrass's definitions in 'Logic in Mathematics'? Are these criticisms consistent with Frege's account of 'definition proper' in the same text? Seminar/Project Ideas What, if anything, is the relation between Frege's critique of Hilbert's use of definitions and Frege's later views of definitions? (shrink)
Does a factive conception of knowability figure in ordinary use? There is some reason to think so. ‘Knowable’ and related terms such as ‘discoverable’, ‘observable’, and ‘verifiable’ all seem to operate factively in ordinary discourse. Consider the following example, a dialog between colleagues A and B: A: We could be discovered. B: Discovered doing what? A: Someone might discover that we're having an affair. B: But we are not having an affair! A: I didn’t say that we were. A’s remarks (...) sound contradictory. In this context the factivity of ‘someone might discover that’ explains this fact. So there is some reason to believe that knowability and related modalities are factive in ordinary use. For factive treatments of knowability in the context of epistemic theories of truth, compare Tennant (2000: 829) and Wright (2001: 59-60, n. 17). (shrink)
Where are we to look for the unique hues? Out in the world? In the eye? In more central processing? 1. There are difficulties looking for the structure of the unique hues in simple combinations of cone-response functions like ( L − M ) and ( S − ( L + M )): such functions may fit pretty well the early physiological processing, but they don’t correspond to the structure of unique hues. It may seem more promising to look to, (...) e.g., Hurvich & Jameson’s ‘chromatic response functions’; but these report on psychophysical behaviour, not on underlying physiology. So ‘opponent processing’ isn’t any particular help on the unique hues—and even physiology in general seems not to have come up with any good correlate or explanation. 2. Wright ( Review of Philosophy and Psychology 2: 1–17, 2011 ) looks in a different place: to (a) magnitude of total visual response that a stimulus light provokes, the maxima and minima of which, he thinks, give us the boundaries of the main hue categories (Wright connects these with Thornton’s ‘prime’ and ‘antiprime’ colours in an illuminant: Journal of the Optical Society of America 61 ( 1971 ): 1155–1163); and (b) the ratio of chromatic to achromatic response, the maxima and minima of which, he suggests, give us the focal points of the unique hues. The suggestions are extremely interesting; but the desired correspondences have some counterexamples; and where they hold, one could wonder how much they depend upon the particular choice of functions to measure (a) and (b); and one could hope for more of an explanatory linkage between the sets of items in question. 3. Could the unique hues come from, so to speak, the external world? White and black can easily be defined as particular kinds of reflectance. What of the standard four unique hues? Variation in kinds of sunlight and skylight coincides well with variation along a line from unique yellow to unique blue (cf. Shepard 1992 , Mollon 2006 ). If we wanted something to calibrate our standards for unique yellow and blue as the lens of the eye changes with age, and despite interpersonal cone differences, this would be a good basis—and there are several ways this can be extended to surface colours. But is there any essential connection between these things: is there any rationale why the light of the sun and the sky should be counted as unique hued ? An answer may be: because in our environment, these illuminants are as close to white (or the natural illuminant colour) as you can get—to see things tinged with sunlight or skylight should be to see them minimally tinged with any alien colour. Whereas other hues in an illuminant would be treated as tinging with a more alien colour the thing seen. (shrink)
S. Adams, W. Ambrose, A. Andretta, H. Becker, R. Camerlo, C. Champetier, J.P.R. Christensen, D.E. Cohen, A. Connes. C. Dellacherie, R. Dougherty, R.H. Farrell, F. Feldman, A. Furman, D. Gaboriau, S. Gao, V. Ya. Golodets, P. Hahn, P. de la Harpe, G. Hjorth, S. Jackson, S. Kahane, A.S. Kechris, A. Louveau,, R. Lyons, P.-A. Meyer, C.C. Moore, M.G. Nadkarni, C. Nebbia, A.L.T. Patterson, U. Krengel, A.J. Kuntz, J.-P. Serre, S.D. Sinel'shchikov, T. Slaman, Solecki, R. Spatzier, J. Steel, D. Sullivan, S. (...) Thomas, A. Valette, V.S. Varadarajan, B. Velickovic, B. Weiss, J.D.M. Wright, R.J. Zimmer. (shrink)
xxiii + 293. Price £50.00 h/b). Thinking About Knowing. By JAY F. ROSENBERG. (Oxford UP, 2002. Pp. viii + 257. Price £30.00 h/b). Epistemology is currently enjoying a renaissance. To a large extent, this has been sparked by some exciting new proposals, such as the contextualist theories advanced by Stewart Cohen, Keith DeRose, David Lewis and Michael Williams, the modal conceptions of knowledge offered by Fred Dretske and Robert Nozick, and the virtue epistemologies put forward by John Greco, Ernest Sosa (...) and Linda Zagzebski, to name but three currently popular views. Increasingly, however, this rebirth in epistemological theorising has been driven less by the production of new theories and more by the application of the latest batch of novel proposals to other areas of philosophy. A good illustration of this from the selection of books under review here is the contemporary debate regarding the vexed relationship between content externalism and self-knowledge that is the 2 focus of the volume of essays edited by Susana Nuccetelli. Here we have a controversy that has blended some of the most innovative aspects of recent epistemological theorising with issues in the philosophy of mind and language, with the emphasis being on the so-called ‘McKinsey paradox’ concerning the putative incompatibility of content externalism and privileged self-knowledge. Whilst early responses to this supposed paradox concentrated on the formulation of the content externalist thesis whilst treating the epistemic concepts at issue as, essentially, primitives, more recent work in this area has drawn-out some of the epistemological implications of this debate and looked at how these implications fit in with recent movements in epistemology. Many of the articles collected in this volume are instances of this ‘second phase’ of the debate. In particular, it is tremendously useful to have the new articles by Martin Davies and Crispin Wright which revisit a previous exchange between the pair where some of the epistemological morals of the McKinsey debate were first extracted.. (shrink)
Summary A survey of recent work in the philosophy of science in Finland, with a bibliography. The main sources of influence emphasized are Eino Kaila (1890â1958) and G. H. von Wright (b. 1916). The main topics covered are: induction and probability; information and explanation; the acceptance and application of theories; the role of auxiliary (theoretical) terms; measurement; general methodology of social and behavioral sciences; finalistic explanation; methodology of sociology and history.
This article intends to analyse the Hobbesian version of the Christian dogma of the Trinity as it is observed in the corresponding sections of Leviathan , De Cive and Heresy , and alluded to in other texts (controversy with Bramhall). It shall be important to specify: (a) As a starting point, the exact place of such concept within the general problem expressed by the difference between "political theology" and "theologico-political problem" (C. Altini); (b) The main items of the philosopher's Trinitarian (...) exposition as well as his intention while writing it, according to the "secularist", "theistic" and "Divine Omnipotence" interpretations. (J. Overhoff, A. Martinich, P. Springborg, L. Foisneau, F. Lessay, G. Wright); (c) His relationship with the contemporary orthodox currents (Trinitarian) and heterodox currents (antitrinitarian), as well as with the elements from ancient antitrinitarian heresies (subordinationism, modalism, sabellianism). (shrink)
We are reporting on how involved the mentor was in promoting responsible research in cases of research misconduct. We reviewed the USPHS misconduct files of the Office of Research Integrity. These files are created by Institutions who prosecute a case of possible research misconduct; ORI has oversight review of these investigations. We explored the role of the mentor in the cases of trainee research misconduct on three specific behaviors that we believe mentors should perform with their trainee: (1) review source (...) data, (2) teach specific research standards and (3) minimize stressful work situations. We found that almost three quarters of the mentors had not reviewed the source data and two thirds had not set standards. These two behaviors are positively correlated. We did not see convincing evidence in the records that mentors were causing stress, but it was apparent in the convicted trainees’ confessions that over 50% experienced some kind of stress. Secondary data, while not created for this research purpose, allows us to look at concrete research behaviors that are otherwise not very researchable. We believe it is important for mentors and institutions to devote more attention to teaching mentors about the process of education and their responsibilities in educating the next generation of scientists. This becomes a critical issue for large research groups who need to determine who is in charge educating, supervising and assuring data integrity. (shrink)
Quine (1960, Word and object. Cambridge, Mass.:MIT Press, ch. 2) claims that there are a variety of equally good schemes for translating or interpreting ordinary talk. ‘Rabbit’ might be taken to divide its reference over rabbits, over temporal slices of rabbits, or undetached parts of rabbits, without significantly affecting which sentences get classified as true and which as false. This is the basis of his famous ‘argument from below’ to the conclusion that there can be no fact of the matter (...) as to how reference is to be divided. Putative counterexamples to Quine’s claim have been put forward in the past (see especially Evans 1975; 1975, Journal of Philosophy, LXXII(13), 343–362. Reprinted in McDowell (Ed.), Gareth Evans: Collected papers. Oxford: Clarendon Press.), and various patches have been suggested (e.g. Wright (1997, The indeterminacy of translation. In C. Wright & B. Hale (Eds.), A companion to the philosophy of language (pp. 397–426). Oxford: Blackwell)). One lacuna in this literature is that one does not find any detailed presentation of what exactly these interpretations are supposed to be. Drawing on contemporary literature on persistence, the present paper sets out detailed semantic treatments for fragments of English, whereby predicates such as ‘rabbit’ divide their reference over four-dimensional continuants (Quine’s rabbits), instantaneous temporal slices of those continuants (Quine’s rabbit-slices) and the simple elements which compose those slices (undetached rabbit parts) respectively. Once we have the systematic interpretations on the table, we can get to work evaluating them. (shrink)
There is an epistemological skepticism that I might be dreaming now, or I might be a brain in a vat (BIV). There is also a demonstration that derives the skeptical conclusion about knowledge of the external world from the premise C1, i.e., I do not know “I am not dreaming (not a BIV) now.” Pessimistic critics (e.g., F. Strawson, B. Stroud) consider that the refutation of C1 is impossible, whereas others have attempted the direct refutation of C1 (e.g., G. E. (...) Moore, H. Putnam, C. Wright), and some (e.g., F. Dretske, R. Nozick) have attempted to refute the closure principle of knowledge used in the demonstration while permitting the validity of C1. Another scholar, M. Williams, maintains that the skeptical demonstration is true only if we presuppose the epistemological premise that we choose to accept or reject at will. It seems that most critics tend to adopt a strategy that allows them to effectively avoid the skeptical consequence, thereby conceding the validity of C1. However, it is difficult to say whether their attempts succeeded, and in my opinion, they are indeed unsuccessful. This is because their concession to Descartes’ argument is insufficient. Their lack of success could also stem from the incompletion of Descartes’ own methodological doubt. The somewhat paradoxical‐sounding aim of this thesis is to show that the skeptical paradox about knowledge can be dissolved only if the Cartesian skepticism is extended far beyond the endpoint of his attempt. The argument of this thesis is based on the important arguments of Wittgenstein's On Certainty （OC）. (shrink)
The confusion of categories in Spinoza's ethics, by E. Albee.--Hegel's criticism of Spinoza, by K. E. Gilbert.--Rationalism in Hume's philosophy, by G. H. Sabine.--Freedom as an ethical postulate: Kant, by R. A. Tsanoff.--Mill and Comte, by N. C. Barr.--The intellectualistic voluntarism of Alfred Fouillée, by A. T. Penney.--Hegelianism and the Vedanta, by E. L. Hinman.--Coherence as organization, by G. W. Cunningham.--Time and the logic of monistic idealism, by J. A. Leighton.--The datum, by W. B. Pillsbury.--The limits of the physical, by (...) G. A. de Laguna.--Is the dualism of mind and matter final? By H. W. Wright.--The revolt against dualism, by A. H. Jones. (shrink)
Normal 0 21 false false false PT-BR X-NONE X-NONE MicrosoftInternetExplorer4 Normal 0 21 false false false PT-BR X-NONE X-NONE MicrosoftInternetExplorer4 Normative fragment of natural language make up sentences that express acts and describe norms. In this fragment there are criteria of logic thuth and relation of consequence between sentences which constitute a natural deontic logic. This paper adopts at ranslation function from the set of sentences of the normative fragment of natural language in to the set of formulae in the (...) formal language and claims that such function translates logically true sentences of the natural language into provable formulae of the formal calculus. With Von Wright's deontic calculus (1951), it does not fit and generates paradoxes, which are known as Prior's paradoxes. Cruz's paraconsistent deontic propositional calculus, D 1 (1993) avoids some paradoxes, except that generated by the formula OB-O (A- B). One builds a relevant deontic propositional calculus that aims to avoid these paradoxes and keeps intact all other fundamental features of deontic operators, since the formula B - (A - B) is improable in some relavant calculi. . (shrink)
Hintikka, J. Knowing how, knowing that, and knowing what: observations on their relation in Plato and other Greek philosophers.--Hedenius, I. The concept of punishment.--Marc-Wogau, K. On the concept of dialectial development in Marxism.--Ekelöf, P. O. Definitions and concept formation in the law.--Hermerén, G. The existence of aesthetic qualities.--Regnéll, H. Explanation in analytical philosophy.--Furberg, M. On questions and pseudo-problems.--Moritz, M. Imperative implication and conditional imperatives.--Sosa, E. Standard conditions.--Danielsson, S. On the strength of commitments.--Aqvist, L. The emotive theory of ethics in the (...) light of recent developments in formal semantics and pragmatics.--Von Wright, G. H. Truth as modality. A contribution to the logic of sense and nonsense.--Hansson, B. and Gärdenfors, P. A guide to intentional semantics.--Kanger, S. Entailment.--Edman, M. Adding independent pieces of evidence.--Lindström, P. A characterization of elementary logic.--Woodruff, P. W. On constructive nonsense logic.--Segerberg, K. Halldén's theorem on Post completeness.--Philosophical works by Sören Halldén (p. 210-211). (shrink)
Historically, for Black writers, literary fiction has been a site for transforming the discursive disciplinary spaces of political oppression. From 19th century “slave narratives” to the 20th century, Black novelists have created an impressive literary counter-canon in advancing liberatory struggles. W.E.B. Du Bois argued that “all art is political.” Many Black writers have used fiction to create spaces for political and social freedom—from the early work of Harriet Wilson’s Our Nig; or, Sketches from the Life of a Free Black (1859)—to (...) the enduring works of the Harlem Renaissance (Toomer, Hurston, and Schuyler)—to the great revolutionary Black literature after WWII (Wright, Baldwin, Williams)—to contemporary Black writers (Toni Morrison, Edward Jones, Samuel Delany)—Black fictive space continues to be a necessary site for resistance. Black literary fiction is a vast counter-canon to mainstream literature which unquestioningly reinforces global white supremacy, capitalistic political oppressions, and the dominance/subordinance relations upon which they depend. (shrink)
Introduction, by Willard Huntington Wright.--Thus spake Zarathustra, translated by Thomas Common.--Beyond good and evil, translated by Helen Zimmern.--The genealogy of morals, translated by Horace B. Samuel.--Peoples and countries, translated by J. M. Kennedy.--Ecce homo, translated by Clifton P. Fadiman.--The birth of tragedy from the spirit of music, translated by Clifton P. Fadiman.
Here is Frege in Foundations of Arithmetic, § 64:The judgment 'Line a is parallel to line b', in symbols: ab, can be taken as an identity. If we do this, we obtain the concept of direction, and say: 'The direction of line a is equal to the direction of line b.' Thus we replace the symbol by the more generic symbol =, through removing what is specific in the content of the former and dividing it between a and b. We (...) carve up the content in a way different from the original way, and this yields us a new concept.Something important is going on in this passage. But at the same time it borders on incoherent. For Frege is saying at least the following:'dir(a ) = dir(b )' has the same content as 'ab'reflecting on that .. (shrink)
If teleological descriptions and explanations are to have a legitimate place in contemporary empirical science, especially as regards biological units in general and even nonbiological ones, then their content must avoid appeal to intentional constituents. Efforts aimed atreducing teleological accounts to nonteleological ones (Braithwaite, Nagel, etc.) have proved unsuccessful (Scheffler). Recently, Larry Wright, building on the work of Charles Taylor, has put together a nonreductive analysis which is free from many of the objections often associated with such a program. (...) I maintain that while Wright and Taylor are on the right track, serious problems still remain for their theories. An analysis is suggested which avoids these difficulties. (shrink)
The United States Supreme Court's decision in Bell Atlantic Corp. v. Twombly is creating quite a stir. Suddenly gone is the famous loosey-goosey rule of Conley v. Gibson that a complaint should not be dismissed for failure to state a claim unless it appears beyond doubt that the plaintiff can prove no set of facts in support of his claim which would entitle him to relief.Now a complaint must provide enough facts to state a claim to relief that is plausible (...) on its face. Only decided last May, Bell Atlantic has been cited in over 3,700 cases. Already being described as a landmark decision, Bell Atlantic nonetheless has lawyers and judges scratching their heads over the precise pleading standard to apply in its wake. As the Second Circuit (mildly) put it, Considerable uncertainty concerning the standard for assessing the adequacy of pleadings has recently been created by the Supreme Court's decision in Bell Atlantic Corp. v. Twombly. Just what is a plausible showing that the pleader is entitled to relief under Rule 8(a)(2)?I believe an answer lies in the 26-year-old decision of the Former Fifth Circuit in In re Plywood Antitrust Litigation. Plywood Antitrust requires, at a minimum, that a complaint . . . contain either direct or inferential allegations respecting all the material elements necessary to sustain a recovery under some viable legal theory. Already used in more than half the circuits, this standard paraphrases advice found in the venerable WRIGHT & MILLER for nearly 40 years.Properly applied, this all . . . material elements standard satisfies Bell Atlantic's plausibility requirement in all respects. The Plywood Antitrust pleading standard works well after Bell Atlantic, first, because the Supreme Court referred to the standard, albeit parenthetically, with approval in Bell Atlantic. Second, it does much to harmonize the Federal Rules' goal of dispensing with pleading technicalities while still requiring enough general factual information about a pleader's claim to make the notice in notice pleading meaningful. Finally, and perhaps most importantly, it gives lawyers, litigants, and courts a standard they can actually use when drafting, or assessing the sufficiency of, pleadings. (shrink)
