A bivalent valuation is snt iff sound (standard PC inference rules take truths only into truths) and non-trivial (not all wffs are assigned the same truth value). Such a valuation is normal iff classically correct for each connective. Carnap knew that there were non-normal snt valuations of PC, and that the gap they revealed between syntax and semantics could be "jumped" as follows. Let $VAL_{snt}$ be the set of snt valuations, and $VAL_{nrm}$ be the set of normal ones. The bottom (...) row in the table for the wedge 'v' is not semantically determined by $VAL_{snt}$ , but if one deletes from $VAL_{snt}$ all those valuations that are not classically correct at the aforementioned row, one jumps straights to $VAL_{nrm}$ and thus to classical semantics. The conjecture we call semantic holism claims that the same thing happens for any semantic indeterminacy in any row in the table of any connective of PC, i.e., to remove it is to jump straight to classical semantics. We show (i) why semantic holism is plausible and (ii) why it is nevertheless false. And (iii) we pose a series of questions concerning the number of possible steps or jumps between the indeterminate semantics given by $VAL_{snt}$ and classical semantics given by $VAL_{nrm}$. (shrink)
According to John A Barker, whether an argument begs the question is purely a matter of logical form (Dialogue, 1976). According to me, it is also a matter of epistemic conditions; some arguments which beg the question in some contexts need not beg the question in every context (Analysis, 1972). I point out difficulties in Barker's treatment and defend my own views against some of his criticisms. In the concluding section, "Alleged difficulties with disjunctive syllogism," I defend the validity of (...) disjunctive syllogism against the views of Alan Ross Anderson and Nuel D Belnap, Jr., ask pointed questions about the notion of intensional disjunction, and suggest how my treatment of begging the question can be extended to deal with the so-called paradoxes of strict implication. (shrink)
“Flat pre-semantics” lets each parameter of truth (etc.) be considered separately and equally, and without worrying about grammatical complications. This allows one to become a little clearer on a variety of philosophical-logical points, such as the usefulness of Carnapian tolerance and the deep relativity of truth. A more definite result of thinking in terms of flat pre-semantics lies in the articulation of some instructive ways of categorizing operations on meanings in purely logical terms in relation to various parameters of (...) truth (etc.); namely, closing vs. leaving open, local vs. translocal, and anchored vs. unanchored. Basic relations among these categories are established. (shrink)
and I CaPI e D, then I Pl e D for all similar assignments. (2) For all values of P and q, I CPCNPql e D. (3) For all values of the variables in a, if la( e U then INal e D. (4) The F,P are constant functions such that, for all values of P, ~ FIP~ = 1, I F, Pl = 2,..., I Fât I = m.
This article is the analysis of the logical system-E (entailment) proposed in work ‘Entailment’, vol 1 i 2 [1975, 1992] by R. A. Aderson and N. D. Belnap Jr. The First part presents a brief history of notion ‘entailment’ and the application of logical systems of entailment. The Second part contains any characterization of reasons of construction of this logical system. The Third part presents logical system-E, and the last part focuses on the weak points of this type of (...) the formalization of the relations between sentences of a formal language. The purpose of this paper is to explore and explicate the realtion of entailment from the point of view of a logical pragmatic. (shrink)
A bivalent valuation is snt iff sound (standard PC inference rules take truths only into truths) and non-trivial (not all wffs are assigned the same truth value). Such a valuation is normal iff classically correct for each connective. Carnap knew that there were non-normal snt valuations of PC, and that the gap they revealed between syntax and semantics could be jumped as follows. Let VAL snt be the set of snt valuations, and VAL nrm be the set of normal ones. (...) The bottom row in the table for the wedge is not semantically determined by VAL snt, but if one deletes from VAL snt all those valuations that are not classically correct at the aforementioned row, one jumps straights to VAL nrm and thus to classical semantics. The conjecture we call semantic holism claims that the same thing happens for any semantic indeterminacy in any row in the table of any connective of PC, i.e., to remove it is to jump straight to classical semantics. We show (i) why semantic holism is plausible and (ii) why it is nevertheless false. And (iii) we pose a series of questions concerning the number of possible steps or jumps between the indeterminate semantics given by VAL snt and classical semantics given by VAL nrm. (shrink)
Gupta’s Rule of Revision theory of truth builds on insights to be found in Martin and Woodruff (1975) and Kripke (1975) (who in turn build on Tarski) in order to permanently deepen our understanding of truth, of paradox (and of the absence of it), and of how we work our language while our language is working us. His concept of a predicate deriving its meaning by way of a Rule of Revision ought to impact significantly on the philosophy of language. (...) Still, fortunately, he has left me something to.. (shrink)
1. Rescher 1964 — henceforth HR — proposes a way of reasoning from a set of hypotheses which may include both some of our beliefs and also hypotheses contradicting those beliefs. The aim of this paper is to point out what I take to be a fault in Rescher’s proposal, and to suggest a modification of it, using a nonclassical logic, which avoids that fault. The paper neither attacks nor defends the broader aspects of Rescher’s proposal, but merely assumes that (...) it is at least prima facie worthwhile and therefore worthy of amendment; consequently, I shall try to tinker as little as possible. In particular, the use of a nonclassical logic which I propose does not replace any use by HR of classical logic — in those places where Rescher is classical, I shall be classical, too. (Instead, the amendment introduces a nonclassical logic at a point where HR uses no logic at all.). (shrink)
Tableau formulations are given for the relevance logics E (Entailment), R (Relevant implication) and RM (Mingle). Proofs of equivalence to modus-ponens-based formulations are vialeft-handed Gentzen sequenzen-kalküle. The tableau formulations depend on a detailed analysis of the structure of tableau rules, leading to certain global requirements. Relevance is caught by the requirement that each node must be used; modality is caught by the requirement that only certain rules can cross a barrier. Open problems are discussed.
Metaphysics and language: Quine, W. V. O. On the individuation of attributes. Körner, S. On some relations between logic and metaphysics. Marcus, R. B. Does the principle of substitutivity rest on a mistake? Van Fraassen, B. C. Platonism's pyrrhic victory. Martin, R. M. On some prepositional relations. Kearns, J. T. Sentences and propositions.--Basic and combinatorial logic: Orgass, R. J. Extended basic logic and ordinal numbers. Curry, H. B. Representation of Markov algorithms by combinators.--Implication and consistency: Anderson, A. R. Fitch on (...) consistency. Belnap, N. D., Jr. Grammatical propaedeutic. Thomason, R. H. Decidability in the logic of conditionals. Myhill, J. Levels of implication.--Deontic, epistemic, and erotetic logic: Bacon, J. Belief as relative knowledge. Wu, K. J. Believing and disbelieving. Kordig, C. R. Relativized deontic modalities. Harrah, D. A system for erotetic sentences. (shrink)
Perhaps our most insightful thinker on what schools teach, E. D. Hirsch, Jr., shows why American students--beginning with a fourth-grade slump--perform less well than students in other industrialized countries. Drawing on classroom observation, the history of ideas, and current scientific understanding of the patterns of intellectual growth, Hirsch builds the case that our schools have indeed made progress in teaching the mechanics of reading. But, as he brilliantly shows, they fail virtually all American children--poor and middle class, in public and (...) private schools--because they do not convey the more complex and essential content needed for reading comprehension. Hirsch powerfully reasons that literacy depends less on formal reading "skills" and more on exposure to rich knowledge. It"s a compelling argument that gives parents specific tools for enhancing their child"s ability to read with comprehension shows how No-Child-Left-Behind tests and SATs are measuring certain kinds of knowledge--knowledge that is not being taught in our schools maps out how American schools can become a strong antidote to poverty and to our frustrating race-based achievement gap, and thus fulfill our democratic ideal for the schools and for our children. (shrink)
MARXISM AND LIBERALISM edited by Ellen Frankel Paul, Fred D. Miller, Jr., Jeffrey Paul and John Ahrens New York: Basil Blackwell, 1986. 223 pp., $14?95 (paper) LIBERALISM by John Gray Minneapolis: University of Minnesota Press, 1986. 106 pp., $9.95 (paper).
Tim Maudiin’s Truth and Paradox (Maudlin 2004, cited here as T&P), a book that is richly endowed with interesting analyses and original theses, chooses to ignore both the prosentential theory of truth from Grover, Camp and Belnap 1975 and the revision theory in its book form, Gupta and Belnap 1993 (The Revision Theory of Truth, henceforth RTT).1 There is no discussion of either theory, nor even any mention of them in the list of references. I offer a pair (...) of quotes chosen from among a number of T&P generalizations that Maudlin would doubtless have modified if RTT had been on his mind at the time of composition of T&P. (1) "...every acceptable account of truth seems to imply that the Tlnferences must be valid" (p. 15). My response is that the revision theory of truth is built on an explicit denial of this. Rather than taking them as "valid," RTT takes the T—Inferences as stage-of-revision—shifting revision principles in the context of a definitional account of truth. (2) "...most discussions of the Liar paradox and related paradoxes...do not address [such questions as]...where ['l`&P’s] Proof Lambda and Proof Gamma go wrong" (p. 20). In fact, RTT is not open to this criticism. It’s simple natural-deduction calculus C0 addresses exactly such questions. (shrink)
The theory of branching space-times is designed as a rigorous framework for modelling indeterminism in a relativistically sound way. In that framework there is room for "funny business", i.e., modal correlations such as occur through quantummechanical entanglement. This paper extends previous work by Belnap on notions of "funny business". We provide two generalized definitions of "funny business". Combinatorial funny business can be characterized as "absence of prima facie consistent scenarios", while explanatory funny business characterizes situations in which no localized (...) explanation of inconsistency can be given. These two definitions of funny business are proved to be equivalent, and we provide an example that shows them to be strictly more general than the previously available definitions of "funny business". (shrink)
In this rigorous investigation into the logic of truth Anil Gupta and NuelBelnap explain how the concept of truth works in both ordinary and pathological ...
The theory of branching space-times is designed as a rigorous framework for modelling indeterminism in a relativistically sound way. In that framework there is room for “funny business”, i.e., modal correlations such as occur through quantum-mechanical entanglement. This paper extends previous work by Belnap on notions of “funny business”. We provide two generalized definitions of “funny business”. Combinatorial funny business can be characterized as “absence of prima facie consistent scenarios”, while explanatory funny business characterizes situations in which no localized (...) explanation of inconsistency can be given. These two definitions of funny business are proved to be equivalent, and we provide an example that shows them to be strictly more general than the previously available definitions of “funny business”. (shrink)
There is no EPR-like funny business if (contrary to apparent fact)our world is as indeterministic as you wish, but is free from theEPR-like quantum mechanical phenomena such as is sometimes described interms of superluminal causation or correlation between distant events.The theory of branching space-times can be used to sharpen thetheoretical dichotomy between EPR-like funny business and noEPR-like funny business. Belnap (2002) offered two analyses of thedichotomy, and proved them equivalent. This essay adds two more, bothconnected with Reichenbachs principle of (...) the common cause, theprinciple that sends us hunting for a common-causal explanation ofdistant correlations. The two previous ideas of funny business and thetwo ideas introduced in this essay are proved to be all equivalent,which increases ones confidence in the stability of (and helpfulnessof) the BST analysis of the dichotomy between EPR-like funny businessand its absence. (shrink)
We consider various concepts associated with the revision theory of truth of Gupta and Belnap. We categorize the notions definable using their theory of circular definitions as those notions universally definable over the next stable set. We give a simplified (in terms of definitional complexity) account of varied revision sequences-as a generalised algorithmic theory of truth. This enables something of a unification with the Kripkean theory of truth using supervaluation schemes.
Following von Wright, ``transitions'' are needed for understanding agency. I indicate how von Wright's account of transitions should be adapted to take account of objective indeterminism, using the idea of branching space-time. The essential point is the need to locate transitions not merely in space-time, but concretely amid the indeterministic, causally structured possibilities of our (only) world. (This is a ``postprint'' of Belnap 1999, as cited in the paper. The page numbers do not, of course, match those of the (...) original.). (shrink)
Indeterminism, understood as a notion that an event may be continued in a few alternative ways, invokes the question what a region of chanciness looks like. We concern ourselves with its topological and spatiotemporal aspects, abstracting from the nature or mechanism of chancy processes. We first argue that the question arises in Montague-Lewis-Earman conceptualization of indeterminism as well as in the branching tradition of Prior, Thomason and Belnap. As the resources of the former school are not rich enough to (...) study topological issues, we investigate the question in the framework of branching space-times of Belnap (Synthese 92:385–434, 1992). We introduce a topology on a branching model as well as a topology on a history in a branching model. We define light-cones and assume four conditions that guarantee the light-cones so defined behave like light-cones of physical space-times. From among various topological separation properties that are relevant to our question, we investigate the Hausdorff property. We prove that each history in a branching model satisfies the Hausdorff property. As for the satisfaction of the Hausdorff property in the entire branching model, we prove that it is related to the phenomenon of passive indeterminism, which we describe in detail. (shrink)
In this collection, a wide variety of American philosophers attempt to explain why they were drawn to philosophy and the difference it has made in their lives. Among the contributors are: Henry E. Kyburg, Jr., Joel Feinberg, Alfred Mele, Walter B. Gulick, Robert Solomon, Robert G. Shoemaker, and David D. Karnos.
Critics of Robert Nozick's libertarian political theory often allege that the theory in general and its account of property rights in particular lack sufficient foundations. A key difficulty is thought to lie in his account of how portions of the world which no one yet owns can justly come to be initially acquired. But the difficulty is illusory, because (contrary to what both Nozick and his critics assume) the concept of justice does not meaningfully apply to initial acquisition in the (...) first place. Moreover, the principle of self-ownership provides a solid foundation for Nozick's libertarianism, and when seen in the light of that principle and its full implications, the standard purported examples of injustices in acquisition are revealed to be nothing of the kind. Footnotesa The original draft of this paper was written in the summer of 2002 while I was a Visiting Scholar at the Social Philosophy and Policy Center, Bowling Green State University. I thank the directors of the Center, Fred D. Miller, Jr., Ellen Frankel Paul, and Jeffrey Paul, for hosting me. I also thank colloquium audience members at Bowling Green State University for comments on that draft. (shrink)
The relationship of the author's intention to the meaning of a literary work has been a persistently controversial topic in aesthetics. Anti-intentionalists Wimsatt and Beardsley, in the 1946 paper that launched the debate, accused critics who fueled their interpretative activity by poring over the author's private diaries and life story of committing the 'fallacy' of equating the work's meaning, properly determined by context and linguistic convention, with the meaning intended by the author. Hirsch responded that context and convention are not (...) sufficient to determine a unique meaning for a text; to avoid radical ambiguity we must appeal to the author's intention, which actualizes one of the candidate meanings. Subsequent writers have defended refined versions of these views, and a variety of positions on the spectrum between them, in a debate that remains central to philosophical aesthetics. While much of the debate has focused on literature, similar questions arise with respect to the interpretation of visual artworks. Some of the readings listed below address this matter explicitly. Author Recommends: William K. Wimsatt and Monroe C. Beardsley, 'The Intentional Fallacy', Sewanee Review 54 (1946): 468–88. Locus classicus of the anti-intentionalist position: Wimsatt and Beardsley hold that appeal to the author's intention is always extraneous, since intention cannot override the role of linguistic convention and context in determining meaning. Criticism, they argue, should thus proceed by careful examination of the literary work rather than by sifting through biographical material that might hint at the author's intentions. E. D. Hirsch, Jr., Validity in Interpretation (New Haven, CT: Yale University Press, 1967). The seminal statement of actual intentionalism: Hirsch holds that 'meaning is an affair of consciousness and not of physical signs or things' (23), though he allows that linguistic convention constrains the meanings the author can intend for a particular utterance. He argues that the author's intention is necessary to fix meaning, since the application of conventions alone would typically leave a text wildly indeterminate. Alexander Nehamas, 'The Postulated Author: Critical Monism as a Regulative Ideal', Critical Inquiry 8 (1981): 133–49. Nehamas argues for a version of hypothetical intentionalism according to which interpretation is a matter of attributing an intended meaning to a hypothetical author, distinct from the historical writer. This view allows the interpreter to find meaning even in features of the work that may have been mere accidents on the part of the historical writer. Gary Iseminger, ed., Intention and Interpretation (Philadelphia, PA: Temple University Press, 1992). Intention and Interpretation is an outstanding collection including both classic and new essays representing most of the major viewpoints in the debate. Noël Carroll, 'Art, Intention, and Conversation', Intention and Interpretation , ed. Gary Iseminger (Philadelphia, PA: Temple University Press, 1992), 97–131. The essay defends modest actual intentionalism, according to which the work's meaning is one compatible both with the author's meaning intentions and with the conventionally allowable meanings of the text. Carroll holds that literature is on a continuum with ordinary conversation, to which an intentionalist analysis is apt; for this reason he rejects anti-intentionalism and hypothetical intentionalism, which emphasize the purported autonomy of literary works from their authors. Daniel Nathan, 'Irony, Metaphor, and the Problem of Intention', Intention and Interpretation , ed. Gary Iseminger (Philadelphia, PA: Temple University Press, 1992), 183–202. Nathan argues that even irony and metaphor, which are often thought to require an analysis in terms of the author's actual intentions, are in fact best understood on an anti-intentionalist approach. Jerrold Levinson, 'Intention and Interpretation in Literature', The Pleasures of Aesthetics: Philosophical Essays (Ithaca, NY: Cornell University Press, 1996), 175–213. Revised version of 'Intention and Interpretation: A Last Look', Intention and Interpretation , ed. Gary Iseminger (Philadelphia, PA: Temple University Press, 1992), 221–56. The essay defends a version of hypothetical intentionalism according to which the meaning of a literary work is the meaning that would be attributed to the actual author by members of the ideal audience. Levinson argues that literary works should be treated differently from everyday utterances, since it is a convention of literature that its works are substantially autonomous from their authors. Paisley Livingston, Art and Intention: A Philosophical Study (Oxford: Clarendon Press, 2005). Livingston examines competing accounts of the nature of intentions as they pertain to a variety of issues in the philosophy of art, including the ontology of art, the nature of authorship, and art interpretation. In chapter 6, Livingston argues for partial intentionalism, according to which some, but not all, of a work's meanings are non-redundantly determined by the author's intentions. Stephen Davies, 'Authors' Intentions, Literary Interpretation, and Literary Value', British Journal of Aesthetics 46 (2006): 223–47. Davies defends the value-maximizing view, according to which, when there is more than one conventional meaning consistent with the work's features, the meaning that should be attributed to the work is the one that makes the work out to be most aesthetically valuable. He allows for the attribution of multiple meanings when more than one candidate (approximately) maximizes the work's value. Online Materials: http://plato.stanford.edu/entries/beardsley-aesthetics/ Beardsley's Aesthetics (Michael Wreen) http://plato.stanford.edu/entries/conceptual-art/ Conceptual Art (Elisabeth Schellekens) http://plato.stanford.edu/entries/speech-acts/ Speech Acts (Mitchell Green) http://plato.stanford.edu/entries/hermeneutics/ Hermeneutics (Bjørn Ramberg and Kristin Gjesdal) Sample Syllabus: Week 1: Foundations 1. Wimsatt and Beardsley, 'The Intentional Fallacy'. 2. Livingston, 'What Are Intentions?', Art and Intention , 1–30. Weeks 2–3: Actual Intentionalism 1. Hirsch, Validity in Interpretation , ch. 1–2, 1–67. 2. Gary Iseminger, 'An Intentional Demonstration?', Intention and Interpretation , ed. Iseminger, 76–96. Optional reading: 1. Stephen Knapp and Walter Benn Michaels, 'Against Theory', Critical Inquiry 8 (1982): 723–742. 2. Stephen Knapp and Walter Benn Michaels, 'Against Theory 2: Hermeneutics and Deconstruction', Critical Inquiry 14 (1987): 49–58. Weeks 4–5: Modest, Moderate and Partial Intentionalism 1. Carroll, 'Art, Intention, and Conversation'. 2. Robert Stecker, Interpretation and Construction: Art, Speech, and the Law (Malden, MA: Blackwell, 2003), ch. 2, 29–51. 3. Livingston, 'Intention and the Interpretation of Art', Art and Intention , 135–74. Optional reading: 1. Carroll, 'Interpretation and Intention: The Debate between Hypothetical and Actual Intentionalism', Metaphilosophy 31 (2000): 75–95. 2. Stecker, 'Moderate Actual Intentionalism Defended', Journal of Aesthetics and Art Criticism 64 (2006): 429–38. Weeks 6–7: Hypothetical Intentionalism 1. William E. Tolhurst, 'On What a Text Is and How It Means', British Journal of Aesthetics 19 (1979): 3–14. 2. Nehamas, 'Postulated Author'. 3. Levinson, 'Intention and Interpretation in Literature'. Optional reading: 1. Nehamas, 'What an Author Is', Journal of Philosophy 83 (1986): 685–91. 2. Nehamas, 'Writer, Text, Work, Author', Literature and the Question of Philosophy , ed. A. J. Cascardi (Baltimore, MD: Johns Hopkins University Press, 1987), 265–91. 3. Levinson, 'Hypothetical Intentionalism: Statement, Objections, and Replies', Is There a Single Right Interpretation? , ed. M. Krausz (University Park, PA: Pennsylvania State University Press, 2002), 309–18. Week 8: The Value-Maximizing View 1. Davies, 'The Aesthetic Relevance of Authors' and Painters' Intentions', Journal of Aesthetics and Art Criticism 41 (1982): 65–76. 2. Davies, 'Authors' Intentions, Literary Interpretation, and Literary Value'. Weeks 9–10: Anti-Intentionalism 1. Beardsley, 'The Authority of the Text,' The Possibility of Criticism (Detroit: Wayne State University Press, 1970), 16–37. 2. Nathan, 'Irony, Metaphor, and the Problem of Intention'. 3. Nathan, 'Art, Meaning, and Artist's Meaning', Contemporary Debates in Aesthetics and the Philosophy of Art , ed. M. Kieran (Malden, MA: Blackwell, 2006), 282–95. Optional reading: 1. Beardsley, 'Intentions and Interpretations: A Fallacy Revived', The Aesthetic Point of View: Selected Essays , ed. M. J. Wreen and D. M. Callen (Ithaca, NY: Cornell University Press, 1982), 188–207. 2. Nathan, 'Irony and the Author's Intentions', British Journal of Aesthetics 22 (1982): 246–56. Sample Mini-Syllabus: Week 1: Foundations 1. Wimsatt and Beardsley, 'The Intentional Fallacy'. 2. Livingston, 'What Are Intentions?', Art and Intention , 1–30. Week 2: Actual and Modest Intentionalism 1. Hirsch, Validity in Interpretation , ch. 1–2, 1–67. 2. Carroll, 'Art, Intention, and Conversation'. Week 3: Hypothetical Intentionalism and Anti-Intentionalism 1. Levinson, 'Intention and Interpretation in Literature'. 2. Nathan, 'Irony, Metaphor, and the Problem of Intention'. Focus Questions 1. Is the difficulty of ascertaining the author's intentions a good reason to reject actual intentionalism? 2. Should literary works be seen as largely autonomous from their authors, even if we think that interpretation of ordinary utterances is properly a matter of ascertaining the speaker's intentions? 3. Are linguistic context and convention sufficient to determine the meaning of a literary work, or is the author's intention required to stave off an unacceptable degree of ambiguity? 4. Should the author's intentions about the genre or category to which the work belongs have a different status than intentions about the work's meaning? 5. Can the author's intentions have a non-redundant role to play in fixing meaning even if we take the role of context and linguistic convention seriously? 6. Should we expect the author's intention to play the same role (if any) in the interpretation of visual artworks that it plays in the interpretation of literature, or do differences between these two art forms require distinct approaches? (shrink)
Topic of the paper is Q-logic – a logic of agency in its temporal and modal context. Q-logic may be considered as a basal logic of agency since the most important stit-operators discussed in the literature can be defined or axiomatized easily within its semantical and syntactical framework. Its basic agent dependent operator, the Q-operator (also known as - or cstit-operator), which has been discussed independently by F. v. Kutschera and B. F. Chellas, is investigated here in respect of its (...) relation to other temporal and modal operators. The main result of the paper, then, is a completeness result for a calculus of Q-logic with respect to a semantics defined on the tree-approach to agency as introduced and developed by, among others, F. v. Kutschera and N. D. Belnap. (shrink)
Conservative educational critics (e.g., Allan Bloom, Mortimer Adler, and E. D. Hirsch, Jr.) have succeeded in flaming the debate on the reform of education in a manner that ignores the questions that should be asked about how our most fundamental cultural assumptions are contributing to the ecological crisis. In this paper, I examine the deep cultural assumptions embedded in their reform proposals that furtherexacerbate the crisis, giving special attention to their view of rational empowerment, the progressive nature of change, and (...) their anthropocentric view of the universe. I argue that their form of conservatism must be supplanted by the more biocentric conservatism of such thinkers as Aldo Leopold, Wendell Berry, and Gary Snyder. (shrink)
Intended for general readers, The Illustrated To Think Like God explores how philosophy became a speculative science, tracing its origins to the Greek colonies of southern Italy, from the late sixth century to the mid-fifth century BCE. In this lavishly illustrated full-color work, Arnold Hermann tells the story of the sage Pythagoras, the poet Xenophanes, and the lawmaker Parmenides, describing how each in his own way believed that true insight belonged only to the gods. With a sympathetic and critical eye, (...) Hermann investigates how the Pythagoreans tried to discover otherworldly knowledge by studying numerical relationships, believing that these govern the universe. He shows that the difficulties of their quest were further aggravated by cultism, political conspiracies, and bloody uprisings. Numbers were not the key to the divine that everyone had hoped for. The real challenge, Hermann argues, came from Xenophanes, who argued that divine or absolute truth was beyond the reach of mortals. Even if a human being should happen to state exactly what was the case, he had no reliable way of knowing that he did. Hermann convinces readers that this dilemma certainly would have concerned a legislative mind like that of Parmenides, and he examines how Parmenides introduced techniques for testing the truth of statements. Parmenides�2 unparalleled approach was not based on physical evidence of the experience of our five senses. Instead, they relied on the faculty we humans share with the gods--our ability to reason. Handsome illustrations, created by the same designers responsible for Stephen Hawking�2s Universe in a Nutshell, accompany Hermann�2s text, illuminating and expanding its complex ideas. Incisive, thought-provoking, and certain to engage the intellectually curious, The Illustrated To Think Like God reveals Parmenides to be the true father of theoretical science. As the philosopher who taught us that truth is not about claims but about proof, Parmenides ironically gave birth to the discipline in the process of trying to plumb the depths of the mind of god. "Figures from Anaximander to Zeno, the ruins where they lived and thought, and the paradoxes and thought-experiments they proposed are depicted among the [many] well-chosen color illustrations. �5lovingly written, lavishly laid-out�5making it engaging enough to draw in readers to whom it has not been assigned." - Publisher's Weekly "To Think Like God is a highly ambitious book . . . Hermann's approach deserves to be taken seriously as an alternative to standard interpretations." - Richard D. McKirahan, Jr., Edwin Clarence Norton Professor of Classics and Professor of Philosophy, Pomona College "Arnold Hermann brings fresh life into the specialists' debates . . . a blow of wind that dissipates much fog." - Walter Burkert, Professor Emeritus of Classical Philology, University of Zurich. (shrink)
Alfred D. Chandler, Jr. is a worthy successor to Joseph Schumpeter as analyst of the large corporation and its role in economic growth. His new book, Scale and Scope, a comparative history of corporate capitalism in the U. S., Britain, and Germany, is animated by a vision of the large corporation as the leading force in economic growth, outdistancing older owner?managed forms of organization with a superior ability to invest entrepreneurially in large?scale production, mass distribution, and professional management. Chandler's (...) account implicitly relies on a dynamic ?capabilities? theory of competition that reveals the fundamental irrelevance of neoclassical theory and policy, including antitrust policy. In some ways, however, Chandler's vision is too narrow, underplaying the role of markets in economic growth. One needs to know how economic systems build capabilities, not merely how the corporate institution does so. Moreover, there is reason to think that the last few decades have seen an organizational revolution with a dynamic rather different from the one that animates Chandler's account. As a result, Chandler's work is important for understanding the present?day issues of industrial competitiveness, but is only one piece of the puzzle. (shrink)
THE VISIBLE HAND: THE MANAGERIAL REVOLUTION IN AMERICAN BUSINESS by Alfred D. Chandler, Jr. Cambridge, Mass.: Harvard University Press, 1977. 608 pp., $9.95 paper STRATEGY AND STRUCTURE: CHAPTERS IN THE HISTORY OF THE AMERICAN INDUSTRIAL ENTERPRISE by Alfred D. Chandler, Jr. Cambridge, Mass.: M.I.T. Press, 1962. 463 pp., $9.95 paper.
An informal sketch is offered of some chief ideas of the (formal) ``branching histories'' theory of objective possibility, free will and indeterminism. Reference is made to ``branching time'' and to ``branching space-times,'' with emphasis on a theme that they share: Objective possibilities are in Our World, organized by the relation of causal order.
Vagueness is an extremely widespread feature of language, famously associated with the sorites paradox. One instance of this paradox concludes that a single grain of sand is a heap of sand, by starting with a large heap of sand and invoking the plausible premise that if you take one grain of sand away from a heap of sand, then you still have a heap. The supervaluationist theory of vagueness states that a sentence is true if and only if it is (...) true on all ways of making it precise. This yields borderline case predications that are neither true nor false, but yet classical logic is preserved almost entirely. The sorites paradox is solved because the main premise comes out false – on each way of making 'heap' precise, there is some first grain that turns a heap into a non-heap – but there is no sharp boundary to 'heap' because it is a different grain on different ways of making 'heap' precise; so, there is no grain of which it is true to say it is that first grain. The theory has a range of merits in comparison with rival theories, such as the epistemic view or degree theories of vagueness. Objections have been made (and answers offered) in relation to its treatment of higher-order vagueness and what it says about truth and validity. Author Recommends Fine, Kit. 'Vagueness, Truth and Logic.' Synthese 30 (1975). 265–300. Reprinted in Keefe and Smith 1997. This is the classic text introducing supervaluationism as a treatment of vagueness. It provides both philosophical discussion and formal modelling, demonstrating the adherence to classical logic that the theory yields. Keefe, Rosanna and Peter Smith, eds. Vagueness: A Reader . Cambridge, MA: MIT Press. This collection includes many classic papers on vagueness, including Fine's paper, cited above, a paper by Dummett that offers (but rejects) a precursor of the supervaluationist view, another less well-known early presentation of the view by Henyrk Mehlberg and discussion and defences of the main rival theories of vagueness. Keefe, Rosanna. Theories of Vagueness . Cambridge: Cambridge University Press, 2000. This book defends a supervaluationist theory of vagueness. It discusses the phenomena of vagueness and what is required of a theory of vagueness, before considering and rejecting the major alternatives in turn. Williamson, Timothy. Vagueness . London: Routledge, 1994. This book defends the epistemic theory of vagueness, which maintains that vague predicates do have sharp boundaries, we just do not know where those boundaries lie. It also contains detailed discussions of opposing theories, including supervaluationism. Unger, Peter. 'The Problem of the Many.' Midwest Studies in Philosophy 5 (1980). Eds. P.A. French, T.E. Uehling Jr and H.K. Wettstein. Minneapolis, MN: University of Minnesota Press. This is the classic presentation of the Problem of the Many, to which a supervaluationist solution is relatively popular. This problem arises because frequently the boundaries of an object – say a cloud – are not sharply delineated. Each of the many ways of drawing the boundary seems to be an object of the type in question – say a cloud – hence the problem that there are many things when there should be just one. The supervaluationist, it seems, can say that there is just one cloud because that is true on each precisification. Williams, J. Robert G. 'An Argument for the Many.' Proceedings of the Aristotelian Society 106 (2006). 409–17. Detailed discussion of Unger's Problem of the Many, especially in relation to the supervaluationist solution. Shapiro, Stewart. Vagueness in Context . Oxford: Oxford University Press, 2006. In this book, Shapiro employs a supervaluationist framework, without endorsing some of the central claims of the standard supervaluationist theory of vagueness. Online Materials http://plato.stanford.edu/entries/vagueness/ http://plato.stanford.edu/entries/sorites-paradox/ http://plato.stanford.edu/entries/problem-of-many/ http://www.st-andrews.ac.uk/~arche/projects/vagueness/bibliography.shtml Sample Syllabus Week I: Introduction to Vagueness Keefe, Theories of Vagueness (especially chapters 1 and 2) Williamson, Vagueness (especially chapters 1 and 2) Week II: Supervaluationist Theory: logic and semantics Keefe, 'Vagueness: Supervaluationism.' Philosophy Compass 3.2 (2008): 315–24, 10.1111/j.1747-9991.2008.00124.x Fine, 'Vagueness, Truth and Logic' Keefe, Theories of Vagueness (especially chapter 7) Week III: Higher Order Vagueness and the D Operator Keefe, Theories of Vagueness (especially chapter 8) Fara, Delia Graff. 'Gap Principles, Penumbral Consequence and Infinitely Higher-Order Vagueness.' Liars and Heaps . Ed. J.C. Beall. Oxford: Oxford University Press, 2003. 195–221. Originally published under the name 'Delia Graff'. Week IV: Truth and Validity Keefe, Theories of Vagueness (especially chapter 8) Keefe, 'Supervaluationism and Validity.' Philosophical Topics 28 (2000). 93–105. Cobreros, 'Supervaluations and Logical Consequence: Retrieving the Local Perspective.' Studia Logica , Special Issue on Vagueness , 2009 Week V: Problem of the Many Unger, "The Problem of the Many" Williams, "An Argument for the Many" Week VI: Rival Theories Williamson, Vagueness (especially chapters 7 and 8) Keefe and Smith, Vagueness: A Reader (e.g. chapters 11, 14–6) Focus Questions 1 How important is it for a theory of vagueness to accommodate penumbral connections? Are there any putative penumbral connections that the supervaluationist cannot accommodate? 2 According to supervaluationism, what does it take for "Katie said that Hannah is tall" to be true? Does the view have implausible consequences for indirect speech reports when vague terms are used? 3 Is higher-order vagueness a problem for supervaluationism? 4 Is there more than one viable option for the account of validity in a supervaluationist framework? 5 Can a supervaluationist account of vagueness accommodate the full extent of context dependence exhibited in the use of vague predicates? (shrink)
Using Aristotle's well-known sea battle as our example, we offer a precise, intelligible analysis of future contingent assertions in the presence of indeterminism. After explaining our view of the problem, we present a picture of indeterminism in the context of a tree ofbranching histories. There follows a brief description ofthe semantic bases for our double-time-reference theory of future contingents. We then set out our account. Before concluding, we discuss some ramifications of, and alternatives to, a double-time-reference approach to the problem (...) of future contingents. There are some technical ideas at the foundation of our analysis, ideas of which most philosophers are largely ignorant; on our view, in the absence of mastery ofthese ideas it is quite impossible to speak responsibly about either indeterminism or free will. (shrink)
Popper’s introduction of ‘‘propensity’’ was intended to provide a solid conceptual foundation for objective single-case probabilities. By considering the partly opposed contributions of Humphreys and Miller and Salmon, it is argued that when properly understood, propensities can in fact be understood as objective single-case causal probabilities of transitions between concrete events. The chief claim is that propensities are well-explicated by describing how they fit into the existing formal theory of branching space-times, which is simultaneously indeterministic and causal. Several problematic examples, (...) some commonsense and some quantum-mechanical, are used to make clear the advantages of invoking branching space-times theory in coming to understand propensities. r 2007 Elsevier Ltd. All rights reserved. (shrink)
Existence in Black is the first collective statement on the subject of Africana Philosophy of Existence. Drawing upon resources in Africana philosophy and literature, the contributors explore some of the central themes of Existentialism as posed by the context of what Frantz Fanon has identified as "the lived-experience of the black." Among questions posed and explored in the volume are: What is to be done in a world of near universal sense of superiority to, if not universal hatred of, black (...) folk?; What is black suffering?; What is the meaning (if any) of black existence? The introduction argues that a response to these questions requires a journey through the resources of identity questions in critical race theory and the teleological dimensions of liberation theory. The contributors address these questions through an analysis of nearly every dimension of Africana phiosophy. In the first half of the book, they address Black Philosophies of Existence in terms of Traditional African Philosophy, the Harlem Renaissance, Du Boisian Double-Consciousness, and Fanonian and Sartrean Philosophies of Existence. In the second half of the book, contributors consider racial identity through examinations of such concepts as equality, death, mimesis, property, embodiment, technology, disappointment, and dread. Part II is an exploration of postmodern challenges to "black existence" through discussions of postmodern conservatism, Nietzsche's thoughts on blacks, Richard Wright and fragmented consciousness, and feminist critiques of race. And Part IV is an examination of problems of historical responsibility and constructing black liberation theories. Contributors are: Ernest Allen, Jr., Robert Birt, Bernard Boxill, George Carew, Bobby Dixon, G.M. James Gonzales, Lewis R. Gordon, Leonard Harris, Floyd Hayes, III, Paget Henry, Patricia Huntington, Joy Ann James, Clarence Shole Johnson, Bill E. Lawson, Howard McGary, Roy D. Morrison, William Preston, Jean-Paul Sartre, T. Denean Sharpley-Whiting, Gary Schwartz, Robert Westley, and Naomi Zack. (shrink)