Results for 'Peter Koellner'

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  1. On the Question of Whether the Mind Can Be Mechanized, I: From Gödel to Penrose.Peter Koellner - 2018 - Journal of Philosophy 115 (7):337-360.
    In this paper I address the question of whether the incompleteness theorems imply that “the mind cannot be mechanized,” where this is understood in the specific sense that “the mathematical outputs of the idealized human mind do not coincide with the mathematical outputs of any idealized finite machine.” Gödel argued that his incompleteness theorems implied a weaker, disjunctive conclusion to the effect that either “the mind cannot be mechanized” or “mathematical truth outstrips the idealized human mind.” Others, most notably, Lucas (...)
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  2. On the question of absolute undecidability.Peter Koellner - 2010 - In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Philosophia Mathematica. Association for Symbolic Logic. pp. 153-188.
    The paper begins with an examination of Gödel's views on absolute undecidability and related topics in set theory. These views are sharpened and assessed in light of recent developments. It is argued that a convincing case can be made for axioms that settle many of the questions undecided by the standard axioms and that in a precise sense the program for large cardinals is a complete success “below” CH. It is also argued that there are reasonable scenarios for settling CH (...)
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  3.  98
    On reflection principles.Peter Koellner - 2009 - Annals of Pure and Applied Logic 157 (2-3):206-219.
    Gödel initiated the program of finding and justifying axioms that effect a significant reduction in incompleteness and he drew a fundamental distinction between intrinsic and extrinsic justifications. Reflection principles are the most promising candidates for new axioms that are intrinsically justified. Taking as our starting point Tait’s work on general reflection principles, we prove a series of limitative results concerning this approach. These results collectively show that general reflection principles are either weak ) or inconsistent. The philosophical significance of these (...)
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  4. On the Question of Whether the Mind Can Be Mechanized, II: Penrose’s New Argument.Peter Koellner - 2018 - Journal of Philosophy 115 (9):453-484.
    Gödel argued that his incompleteness theorems imply that either “the mind cannot be mechanized” or “there are absolutely undecidable sentences.” In the precursor to this paper I examined the early arguments for the first disjunct. In the present paper I examine the most sophisticated argument for the first disjunct, namely, Penrose’s new argument. It turns out that Penrose’s argument requires a type-free notion of truth and a type-free notion of absolute provability. I show that there is a natural such system, (...)
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  5.  96
    Strong logics of first and second order.Peter Koellner - 2010 - Bulletin of Symbolic Logic 16 (1):1-36.
    In this paper we investigate strong logics of first and second order that have certain absoluteness properties. We begin with an investigation of first order logic and the strong logics ω-logic and β-logic, isolating two facets of absoluteness, namely, generic invariance and faithfulness. It turns out that absoluteness is relative in the sense that stronger background assumptions secure greater degrees of absoluteness. Our aim is to investigate the hierarchies of strong logics of first and second order that are generically invariant (...)
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  6. Large cardinals beyond choice.Joan Bagaria, Peter Koellner & W. Hugh Woodin - 2019 - Bulletin of Symbolic Logic 25 (3):283-318.
    The HOD Dichotomy Theorem states that if there is an extendible cardinal, δ, then either HOD is “close” to V or HOD is “far” from V. The question is whether the future will lead to the first or the second side of the dichotomy. Is HOD “close” to V, or “far” from V? There is a program aimed at establishing the first alternative—the “close” side of the HOD Dichotomy. This is the program of inner model theory. In recent years the (...)
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  7. Independence and large cardinals.Peter Koellner - 2010 - Stanford Encyclopedia of Philosophy.
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  8. The Search for New Axioms.Peter Koellner - 2003 - Dissertation, Massachusetts Institute of Technology
    The independence results in set theory invite the search for new and justified axioms. In Chapter 1 I set the stage by examining three approaches to justifying the axioms of standard set theory and argue that the approach via reflection principles is the most successful. In Chapter 2 I analyse the limitations of ZF and use this analysis to set up a mathematically precise minimal hurdle which any set of new axioms must overcome if it is to effect a significant (...)
     
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  9.  96
    Incompatible Ω-Complete Theories.Peter Koellner & W. Hugh Woodin - 2009 - Journal of Symbolic Logic 74 (4):1155 - 1170.
    In 1985 the second author showed that if there is a proper class of measurable Woodin cardinals and $V^{B1} $ and $V^{B2} $ are generic extensions of V satisfying CH then $V^{B1} $ and $V^{B2} $ agree on all $\Sigma _1^2 $ -statements. In terms of the strong logic Ω-logic this can be reformulated by saying that under the above large cardinal assumption ZFC + CH is Ω-complete for $\Sigma _1^2 $ Moreover. CH is the unique $\Sigma _1^2 $ -statement (...)
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  10. Infinity up on Trial: Reply to Feferman.Peter Koellner - 2016 - Journal of Philosophy 113 (5/6):247-260.
    In this paper I examine Feferman’s reasons for maintaining that while the statements of first-order number theory are “completely clear'” and “completely definite,”' many of the statements of analysis and set theory are “inherently vague'” and “indefinite.”' I critique his four central arguments and argue that in the end the entire case rests on the brute intuition that the concept of subsets of natural numbers—along with the richer concepts of set theory—is not “clear enough to secure definiteness.” My response to (...)
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  11. On a Purported Proof that the Mind Is Not a Machine.Peter Koellner - 2018 - Thought: A Journal of Philosophy 7 (2):91-96.
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  12.  24
    Of the association for symbolic logic.Sergei Artemov, Peter Koellner, Michael Rabin, Jeremy Avigad, Wilfried Sieg, William Tait & Haim Gaifman - 2006 - Bulletin of Symbolic Logic 12 (3-4):503.
  13.  23
    The Hilton New York Hotel New York, NY December 27–29, 2005.Sergei Artemov, Peter Koellner, Michael Rabin, Jeremy Avigad, Wilfried Sieg, William Tait & Haim Gaifman - 2006 - Bulletin of Symbolic Logic 12 (3).
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  14.  17
    The Cambridge companion to Bertrand Russell. [REVIEW]Peter Koellner - 2005 - Bulletin of Symbolic Logic 11 (1):72-77.
  15.  25
    The Cambridge companion to Bertrand Russell, edited by Nicholas Griffin, Cambridge University Press, Cambridge, UK and New York, USA, 2003, xvii + 550 pp. [REVIEW]Peter Koellner - 2005 - Bulletin of Symbolic Logic 11 (1):72-77.
  16.  15
    Foundations of Mathematics.Andrés Eduardo Caicedo, James Cummings, Peter Koellner & Paul B. Larson (eds.) - 2016 - American Mathematical Society.
    This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set (...)
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  17. Famine, affluence, and morality.Peter Singer - 1972 - Philosophy and Public Affairs 1 (3):229-243.
    As I write this, in November 1971, people are dying in East Bengal from lack of food, shelter, and medical caxc. The suffering and death that are occurring there now axe not inevitable, 1101; unavoidable in any fatalistic sense of the term. Constant poverty, a cyclone, and a civil war have turned at least nine million people into destitute refugees; nevertheless, it is not beyond Lhe capacity of the richer nations to give enough assistance to reduce any further suffering to (...)
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  18. Basic questions.Peter Carruthers - 2018 - Mind and Language 33 (2):130-147.
    This paper argues that a set of questioning attitudes are among the foundations of human and animal minds. While both verbal questioning and states of curiosity are generally explained in terms of metacognitive desires for knowledge or true belief, I argue that each is better explained by a prelinguistic sui generis type of mental attitude of questioning. I review a range of considerations in support of such a proposal and improve on previous characterizations of the nature of these attitudes. I (...)
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  19.  48
    Animal liberation: the definitive classic of the animal movement.Peter Singer - 2009 - New York: Ecco Book/Harper Perennial.
    Since its original publication in 1975, this groundbreaking work has awakened millions of people to the existence of "speciesism"—our systematic disregard of nonhuman animals—inspiring a worldwide movement to transform our attitudes to animals and eliminate the cruelty we inflict on them. In Animal Liberation, author Peter Singer exposes the chilling realities of today’s "factory farms" and product-testing procedures—destroying the spurious justifications behind them, and offering alternatives to what has become a profound environmental and social as well as moral issue. (...)
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  20. The Fundamental Problem of Logical Omniscience.Peter Hawke, Aybüke Özgün & Francesco Berto - 2020 - Journal of Philosophical Logic 49 (4):727-766.
    We propose a solution to the problem of logical omniscience in what we take to be its fundamental version: as concerning arbitrary agents and the knowledge attitude per se. Our logic of knowledge is a spin-off from a general theory of thick content, whereby the content of a sentence has two components: an intension, taking care of truth conditions; and a topic, taking care of subject matter. We present a list of plausible logical validities and invalidities for the logic of (...)
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  21. Questions, topics and restricted closure.Peter Hawke - 2016 - Philosophical Studies 173 (10):2759-2784.
    Single-premise epistemic closure is the principle that: if one is in an evidential position to know that P where P entails Q, then one is in an evidential position to know that Q. In this paper, I defend the viability of opposition to closure. A key task for such an opponent is to precisely formulate a restricted closure principle that remains true to the motivations for abandoning unrestricted closure but does not endorse particularly egregious instances of closure violation. I focus (...)
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  22. Ethics and action.Peter Winch - 1972 - London,: Routledge and Kegan Paul.
    Introduction These essays have been written over a period of about ten years and have already been published separately in various places. ...
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  23. 5. Bemerkungen zu den Papyrusfragmenten des platonischen Laches.E. Koellner - 1899 - Philologus: Zeitschrift für Antike Literatur Und Ihre Rezeption 58 (1-4):312-314.
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  24. Imagining as a Guide to Possibility.Peter Kung - 2010 - Philosophy and Phenomenological Research 81 (3):620-663.
    I lay out the framework for my theory of sensory imagination in “Imagining as a guide to possibility.” Sensory imagining involves mental imagery , and crucially, in describing the content of imagining, I distinguish between qualitative content and assigned content. Qualitative content derives from the mental image itself; for visual imaginings, it is what is “pictured.” For example, visually imagine the Philadelphia Eagles defeating the Pittsburgh Steelers to win their first Super Bowl. You picture the greenness of the field and (...)
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    The Grounds of Political Legitimacy.Fabienne Peter - 2023 - Oxford, GB: Oxford University Press.
    Political decisions have the potential to greatly impact our lives. Think of decisions in relation to abortion or climate change, for example. This makes political legitimacy an important normative concern. But what makes political decisions legitimate? Are they legitimate in virtue of having support from the citizens? Democratic conceptions of political legitimacy answer in the affirmative. Such conceptions righly highlight that legitimate political decision-making must be sensitive to disagreements among the citizens. But what if democratic decisions fail to track what (...)
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  26.  60
    Searching for True Dogmatism.Peter J. Markie - 2013 - In Chris Tucker (ed.), Seemings and Justification: New Essays on Dogmatism and Phenomenal Conservatism. New York: Oxford University Press USA. pp. 248.
  27. When does communication succeed? The case of general terms.Peter Pagin - 2020 - In Teresa Marques & Åsa Wikforss (eds.), Shifting Concepts: The Philosophy and Psychology of Conceptual Variability. Oxford: Oxford University Press.
  28. Useful false beliefs.Peter D. Klein - 2008 - In Quentin Smith (ed.), Epistemology: new essays. New York : Oxford University Press,: Oxford University Press. pp. 25--63.
  29. Epistemic Normativity and Social Norms.Peter J. Graham - 2015 - In David K. Henderson & John Greco (eds.), Epistemic Evaluation: Purposeful Epistemology. Oxford: Oxford University Press UK. pp. 247-273.
  30. The mystery of direct perceptual justification.Peter Markie - 2005 - Philosophical Studies 126 (3):347-373.
    In at least some cases of justified perceptual belief, our perceptual experience itself, as opposed to beliefs about it, evidences and thereby justifies our belief. While the phenomenon is common, it is also mysterious. There are good reasons to think that perceptions cannot justify beliefs directly, and there is a significant challenge in explaining how they do. After explaining just how direct perceptual justification is mysterious, I considerMichael Huemers (Skepticism and the Veil of Perception, 2001) and Bill Brewers (Perception and (...)
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  31.  39
    The political philosophy of the British idealists: selected studies.Peter P. Nicholson - 1990 - New York: Cambridge University Press.
    This book offers a reassessment of the political philosophy of the British Idealists, a group of once influential and now neglected nineteenth-century Hegelian philosophers, whose work has been much misunderstood. Peter Nicholson focuses on F. H. Bradley's idea of morality and moral philosophy; T. H. Green's theory of the Common Good, of the social nature of rights, of freedom, and of state interference; and Bernard Bosanquet's notorious theory of the General Will. By examining the arguments offered by the Idealists (...)
  32.  6
    Happiness, hope, and despair: rethinking the role of education.Peter Roberts - 2016 - New York: Peter Lang.
    In the Western world it is usually taken as given that we all want happiness, and our educational arrangements tacitly acknowledge this. Happiness, Hope, and Despair argues, however, that education has an important role to play in deepening our understanding of suffering and despair as well as happiness and joy. Education can be uncomfortable, unpredictable, and unsettling; it can lead to greater uncertainty and unhappiness. Drawing on the work of Søren Kierkegaard, Miguel de Unamuno, Fyodor Dostoevsky, Simone Weil, Paulo Freire, (...)
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  33.  10
    Schelling's late philosophy in confrontation with Hegel.Peter Dews - 2023 - New York, NY: Oxford University Press.
    This book presents and evaluates the late philosophy (Spätphilosophie) of F. W. J. Schelling (1775-1854) across a wide range of issues, ranging from relation between pure thinking and being, to the philosophy of mythology and religion, to the philosophy of history, to questions concerning the philosophy of nature and freedom. Simultaneously, it discusses Hegel's treatment of similar issues, and systematically compares the two thinkers. This is the first time, in an English-language publication, that these two major German Idealists have been (...)
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  34. Theories of Aboutness.Peter Hawke - 2018 - Australasian Journal of Philosophy 96 (4):697-723.
    Our topic is the theory of topics. My goal is to clarify and evaluate three competing traditions: what I call the way-based approach, the atom-based approach, and the subject-predicate approach. I develop criteria for adequacy using robust linguistic intuitions that feature prominently in the literature. Then I evaluate the extent to which various existing theories satisfy these constraints. I conclude that recent theories due to Parry, Perry, Lewis, and Yablo do not meet the constraints in total. I then introduce the (...)
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  35. The Innate Mind: Structure and Contents.Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.) - 2005 - New York, US: Oxford University Press USA.
    This is the first volume of a projected three-volume set on the subject of innateness. The extent to which the mind is innate is one of the central questions in the human sciences, with important implications for many surrounding debates. By bringing together the top nativist scholars in philosophy, psychology, and allied disciplines these volumes provide a comprehensive assessment of nativist thought and a definitive reference point for future nativist inquiry. The Innate Mind: Structure and Content, concerns the fundamental architecture (...)
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  36. The Structure of Defeat: Pollock's Evidentialism, Lackey's Framework, and Prospects for Reliabilism.Peter J. Graham & Jack C. Lyons - 2021 - In Jessica Brown & Mona Simion (eds.), Reasons, Justification, and Defeat. Oxford Oxford: Oxford University Press.
    Epistemic defeat is standardly understood in either evidentialist or responsibilist terms. The seminal treatment of defeat is an evidentialist one, due to John Pollock, who famously distinguishes between undercutting and rebutting defeaters. More recently, an orthogonal distinction due to Jennifer Lackey has become widely endorsed, between so-called doxastic (or psychological) and normative defeaters. We think that neither doxastic nor normative defeaters, as Lackey understands them, exist. Both of Lackey’s categories of defeat derive from implausible assumptions about epistemic responsibility. Although Pollock’s (...)
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  37. Early Modern Experimental Philosophy.Peter R. Anstey & Alberto Vanzo - 2016 - In Justin Sytsma & Wesley Buckwalter (eds.), A Companion to Experimental Philosophy. Malden, MA: Wiley. pp. 87-102.
    In the mid-seventeenth century a movement of self-styled experimental philosophers emerged in Britain. Originating in the discipline of natural philosophy amongst Fellows of the fledgling Royal Society of London, it soon spread to medicine and by the eighteenth century had impacted moral and political philosophy and even aesthetics. Early modern experimental philosophers gave epistemic priority to observation and experiment over theorising and speculation. They decried the use of hypotheses and system-building without recourse to experiment and, in some quarters, developed a (...)
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  38. Useful False Beliefs.Peter D. Klein - 2008 - In Quentin Smith (ed.), Epistemology: new essays. New York : Oxford University Press,: Oxford University Press. pp. 25-63.
  39.  10
    Identifying future-proof science.Peter Vickers - 2023 - Oxford: Oxford University Press.
    Explores how to identify future-proof science. Peter Vickers takes a transdisciplinary approach in his analysis of 'scientific fact' in order to defend science against potentially dangerous scepticism.
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  40. Reply to Ginet.Peter D. Klein - 2013 - In Matthias Steup & John Turri (eds.), Contemporary Debates in Epistemology. Chichester, West Sussex, UK: Blackwell.
     
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  41.  2
    Peter Wessel Zapffe.Peter Wessel Zapffe - 1969 - Oslo,: Pax. Edited by Guttorm Fløistad.
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    An event, perhaps: a biography of Jacques Derrida.Peter Salmon - 2020 - New York: Verso.
    An introduction to the life and work of the philosopher Jacques Derrida.
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  43. Can Truthmaker Theorists Claim Ontological Free Lunches?Peter Schulte - 2011 - European Journal of Philosophy 22 (2):249-268.
    Truthmaker theorists hold that propositions about higher-level entities (e.g. the proposition that there is a heap of sand) are often made true by lower-level entities (e.g. by facts about the configuration of fundamental particles). This generates a problem: what should we say about these higher-level entities? On the one hand, they must exist (since there are true propositions about them), on the other hand, it seems that they are completely superfluous and should be banished for reasons of ontological parsimony. Some (...)
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  44. Simple heuristics meet massive modularity.Peter Carruthers - 2005 - In Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.), The Innate Mind: Structure and Contents. New York, US: Oxford University Press USA.
    This chapter investigates the extent to which claims of massive modular organization of the mind (espoused by some members of the evolutionary psychology research program) are consistent with the main elements of the simple heuristics research program. A number of potential sources of conflict between the two programs are investigated and defused. However, the simple heuristics program turns out to undermine one of the main arguments offered in support of massive modularity, at least as the latter is generally understood by (...)
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  45.  30
    Wittgenstein: on human nature.Peter Michael Stephan Hacker - 1997 - London: Phoenix.
    This essential introduction to the philosopher and his thought, combines passages from Wittgenstein with detailed interpretation. Hacker leads us into a world of philosophical investigation in which "to smell a rat is ever so much easier than to trap it". Wittgenstein defined humans as language-using creatures. The role of philosophy is to ask questions which reveal the limits and nature of language. Taking the expression, description and observation of pain as examples, Hacker explores the ingenuity with which Wittgenstein identified the (...)
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  46.  27
    De se communication: centered or uncentered?Peter Pagin - 2016 - In Manuel García-Carpintero & Stephan Torre (eds.), About Oneself: De Se Thought and Communication. Oxford: Oxford University Press.
    It was pointed out, first by Robert Stalnaker, then also by Andy Egan, that David Lewis’s model of centered-worlds contents has undesired consequences for communication of de se contents. The recent years have seen a number of attempts to save the model by amending it to handle de se communication. Proposals include the appeal to sequences of individuals in the centers, to ersatz classical propositions, and to operations of “re-centering”. The authors are Dilip Ninan and Stephan Torre, Sarah Moss and (...)
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  47.  6
    Not saved: essays after Heidegger.Peter Sloterdijk - 2016 - Malden, MA: Polity.
    One can rightly say of Peter Sloterdijk that each of his essays and lectures is also an unwritten book. That is why the texts presented here, which sketch a philosophical physiognomy of Martin Heidegger, should also be characterized as a collected renunciation of exhaustiveness. In order to situate Heidegger's thought in the history of ideas and problems, Peter Sloterdijk approaches Heidegger's work with questions such as: If Western philosophy emerged from the spirit of the polis, what are we (...)
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  48.  34
    Spectator in the Cartesian Theater: Where Theories of Mind Went Wrong since Descartes.Peter Slezak - 2023 - Lanham: Lexington Books.
    A range of seemingly unrelated problems at the forefront of controversy about consciousness, language, and vision, among others, have a deep connection with one another that has gone unnoticed. This book suggests that this mistake arises not from what is put into a theory but rather from what is missing.
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  49.  33
    Of literature and knowledge: explorations in narrative thought experiments, evolution, and game theory.Peter Swirski - 2007 - New York: Routledge.
    Framed by the theory of evolution, this volume offers a new understanding of the mechanisms by which we transfer information from narrative make-believe to real life. Ranging across game theory and philosophy of science, as well as poetics and aesthetics, Peter Swirski explains how literary fictions perform as a systematic tool of enquiry, driven by thought experiments. Crucially, he argues for a continuum between the cognitive tools employed by scientists, philosophers, and scholars or writers of fiction."--Jacket.
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  50. Wittgenstein's Tractatus: history and interpretation.Peter M. Sullivan & Michael D. Potter (eds.) - 2013 - Oxford: Oxford University Press.
    These new studies of Wittgenstein's Tractatus represent a significant step beyond recent polemical debate.
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