Results for 'no-free-lunch'

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  1. Absolutely No Free Lunches!Gordon Belot - forthcoming - Theoretical Computer Science.
    This paper is concerned with learners who aim to learn patterns in infinite binary sequences: shown longer and longer initial segments of a binary sequence, they either attempt to predict whether the next bit will be a 0 or will be a 1 or they issue forecast probabilities for these events. Several variants of this problem are considered. In each case, a no-free-lunch result of the following form is established: the problem of learning is a formidably difficult one, (...)
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  2.  25
    No Free Lunch: Why Specified Complexity Cannot Be Purchased Without Intelligence.William A. Dembski - 2002 - Rowman & Littlefield.
    Darwin's greatest accomplishment was to show how life might be explained as the result of natural selection. But does Darwin's theory mean that life was unintended? William A. Dembski argues that it does not. In this book Dembski extends his theory of intelligent design. Building on his earlier work in The Design Inference (Cambridge, 1998), he defends that life must be the product of intelligent design. Critics of Dembski's work have argued that evolutionary algorithms show that life can be explained (...)
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  3.  48
    No Free Lunch Theorem, Inductive Skepticism, and the Optimality of Meta-induction.Gerhard Schurz - 2017 - Philosophy of Science 84 (5):825-839.
    The no free lunch theorem is a radicalized version of Hume’s induction skepticism. It asserts that relative to a uniform probability distribution over all possible worlds, all computable prediction algorithms—whether ‘clever’ inductive or ‘stupid’ guessing methods —have the same expected predictive success. This theorem seems to be in conflict with results about meta-induction. According to these results, certain meta-inductive prediction strategies may dominate other methods in their predictive success. In this article this conflict is analyzed and dissolved, by (...)
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  4.  61
    The no-free-lunch theorems of supervised learning.Tom F. Sterkenburg & Peter D. Grünwald - 2021 - Synthese 199 (3-4):9979-10015.
    The no-free-lunch theorems promote a skeptical conclusion that all possible machine learning algorithms equally lack justification. But how could this leave room for a learning theory, that shows that some algorithms are better than others? Drawing parallels to the philosophy of induction, we point out that the no-free-lunch results presuppose a conception of learning algorithms as purely data-driven. On this conception, every algorithm must have an inherent inductive bias, that wants justification. We argue that many standard (...)
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  5. No free lunch: The significance of tiny contributions.Zach Barnett - 2018 - Analysis 78 (1):3-13.
    There is a well-known moral quandary concerning how to account for the rightness or wrongness of acts that clearly contribute to some morally significant outcome – but which each seem too small, individually, to make any meaningful difference. One consequentialist-friendly response to this problem is to deny that there could ever be a case of this type. This paper pursues this general strategy, but in an unusual way. Existing arguments for the consequentialist-friendly position are sorites-style arguments. Such arguments imagine varying (...)
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  6.  87
    The no free lunch theorem: Bad news for (white's account of) the problem of induction.Gerhard Schurz - 2021 - Episteme 18 (1):31-45.
    White proposes an a priori justification of the reliability of inductive prediction methods based on his thesis of induction-friendliness. It asserts that there are by far more induction-friendly event sequences than induction-unfriendly event sequences. In this paper I contrast White's thesis with the famous no free lunch theorem. I explain two versions of this theorem, the strong NFL theorem applying to binary and the weak NFL theorem applying to real-valued predictions. I show that both versions refute the thesis (...)
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  7.  17
    No free lunch for intelligent design.Pigliucci Massimo - 2003 - Free Inquiry 23 (2):14.
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  8.  21
    How Gruesome are the No-free-lunch Theorems for Machine Learning?Davor Lauc - 2018 - Croatian Journal of Philosophy 18 (3):479-485.
    No-free-lunch theorems are important theoretical result in the fields of machine learning and artificial intelligence. Researchers in this fields often claim that the theorems are based on Hume’s argument about induction and represent a formalisation of the argument. This paper argues that this is erroneous but that the theorems correspond to and formalise Goodman’s new riddle of induction. To demonstrate the correspondence among the theorems and Goodman’s argument, a formalisation of the latter in the spirit of the former (...)
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  9.  19
    The Implications of the No-Free-Lunch Theorems for Meta-induction.David H. Wolpert - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (3):421-432.
    The important recent book by Schurz ( 2019 ) appreciates that the no-free-lunch theorems (NFL) have major implications for the problem of (meta) induction. Here I review the NFL theorems, emphasizing that they do not only concern the case where there is a uniform prior—they prove that there are “as many priors” (loosely speaking) for which any induction algorithm _A_ out-generalizes some induction algorithm _B_ as vice-versa. Importantly though, in addition to the NFL theorems, there are many _free (...)
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  10.  45
    No free lunch.Penny Van Esterik - 2005 - Agriculture and Human Values 22 (2):207-208.
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  11. Searching large spaces: Displacement and the no free lunch regress.William Dembski - manuscript
    Searching for small targets in large spaces is a common problem in the sciences. Because blind search is inadequate for such searches, it needs to be supplemented with additional information, thereby transforming a blind search into an assisted search. This additional information can be quantified and indicates that assisted searches themselves result from searching higher-level search spaces–by conducting, as it were, a search for a search. Thus, the original search gets displaced to a higher-level search. The key result in this (...)
     
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  12. Preface to paperback edition of no free lunch.William Dembski - manuscript
    Five years have elapsed since the publication of No Free Lunch. In that time, intelligent design (ID) has gone from a little-known and marginalized alternative to standard evolutionary theory to a national and international phenomenon that everyone with an interest in the biological origins debate is talking about. Gone is the former dichotomy between creationism and evolution. Leaving aside creationism’s insistence on treating Genesis as a scientific text and treating the detection and application of design as a research (...)
     
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  13. No Theory-Free Lunches in Well-Being Policy.Gil Hersch - 2020 - Philosophical Quarterly 70 (278):43-64.
    Generating an account that can sidestep the disagreement among substantive theories of well-being, while at the same time still providing useful guidance for well-being public policy, would be a significant achievement. Unfortunately, the various attempts to remain agnostic regarding what constitutes well-being fail to either be an account of well-being, provide useful guidance for well-being policy, or avoid relying on a substantive well-being theory. There are no theory-free lunches in well-being policy. Instead, I propose an intermediate account, according to (...)
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  14. Meta-induction as a solution to the no free lunch theorem: reply to Wolpert.Gerhard Schurz - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie.
     
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  15.  68
    No Normative Free Lunch: Relevance and the Autonomy of the Normative Domain.Singa Behrens - 2021 - Synthese 199 (5-6):13163-13186.
    The autonomy thesis is the claim that one cannot get a normative statement from purely descriptive statements. But despite its intuitive appeal a precise formulation of the thesis has remained elusive. In a recent paper, Maguire makes the promising suggestion that the thesis should be understood in terms of ground. But Maguire’s formulation, I argue, is based on controversial taxonomic assumptions that make the autonomy thesis into a non-substantive claim. I develop an alternative ground-based formulation of the autonomy thesis that (...)
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  16.  39
    Is There a Free Lunch in Inference?Jeffrey N. Rouder, Richard D. Morey, Josine Verhagen, Jordan M. Province & Eric-Jan Wagenmakers - 2016 - Topics in Cognitive Science 8 (3):520-547.
    The field of psychology, including cognitive science, is vexed by a crisis of confidence. Although the causes and solutions are varied, we focus here on a common logical problem in inference. The default mode of inference is significance testing, which has a free lunch property where researchers need not make detailed assumptions about the alternative to test the null hypothesis. We present the argument that there is no free lunch; that is, valid testing requires that researchers (...)
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  17. 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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  18.  17
    There's no such thing as a free lunch.Alasdair I. Houston & John M. McNamara - 1988 - Behavioral and Brain Sciences 11 (1):154-163.
  19.  17
    No free theory choice from machine learning.Bruce Rushing - 2022 - Synthese 200 (5):1-21.
    Ravit Dotan argues that a No Free Lunch theorem from machine learning shows epistemic values are insufficient for deciding the truth of scientific hypotheses. She argues that NFL shows that the best case accuracy of scientific hypotheses is no more than chance. Since accuracy underpins every epistemic value, non-epistemic values are needed to assess the truth of scientific hypotheses. However, NFL cannot be coherently applied to the problem of theory choice. The NFL theorem Dotan’s argument relies upon is (...)
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  20.  9
    Rights of Animals, Perceptions of Science, and Political Activism: Profile of American Animal Rights Activists.William M. Lunch & Wesley V. Jamison - 1992 - Science, Technology and Human Values 17 (4):438-458.
    This article reports original research examining characteristics of the active followers of the American animal rights movement. Typical respondents were Caucasian, highly educated urban professional women approximately thirty years old with a median income of $33,000. Most activists think of themselves as Democrats or as Independents, and have moderate to liberal political views. They were often suspicious of science and made no distinctions between basic and applied science, or public versus private animal-based research. The research suggests that animal rights activism (...)
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  21.  4
    Freiheit Gottes und Freiheit des Menschen bei Plotin (Enneade VI 8).Philipp Nölker - 2016 - Münster: Aschendorff Verlag.
    Einleitung -- Die Entwicklung des Freiheitsbegriffs in der Geschichte der antiken Philosophie -- Der Neuansatz Plotins : Die Wiederentdeckung der Metaphysik-Freiheit als metaphysisches Problem -- Plotins Konzeption menschlicher Freiheit -- Die Freiheit des göttlichen Einen als absolute Freiheit -- Mystische Freiheit - Die Vereinigung mit dem absoluten Einen als Höchstform menschlicher Freiheit - Die Nachwirkung des plotinischen Freiheitsbegriffs -- Zusammenfassung : Freiheit des Menschen - Freiheit Gottes.
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  22.  7
    No Room, Save in the Heart.Ann Cottrell Free - 1987 - Between the Species 3 (4):3.
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  23. Cut-free single-pass tableaux for the logic of common knowledge.Rajeev Gore - unknown
    We present a cut-free tableau calculus with histories and variables for the EXPTIME-complete multi-modal logic of common knowledge. Our calculus constructs the tableau using only one pass, so proof-search for testing theoremhood of ϕ does not exhibit the worst-case EXPTIME-behaviour for all ϕ as in two-pass methods. Our calculus also does not contain a “finitized ω-rule” so that it detects cyclic branches as soon as they arise rather than by worst-case exponential branching with respect to the size of ϕ. (...)
     
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  24.  44
    Review of Neurophilosophy of free will: From libertarian illusions to a concept of natural autonomy. [REVIEW]No Authorship Indicated - 2001 - Journal of Theoretical and Philosophical Psychology 21 (2):184-184.
    Reviews the book, Neurophilosophy of free will: From libertarian illusions to a concept of natural autonomy by Henrik Walter and C. Klohr . In this book, Henrik Walter applies the methodology of neurophilosophy to one of philosophy’s central challenges and enduring questions: the notion of free will. The author argues that free will is an illusion if we mean by it that under identical conditions we would be able to do or decide otherwise, while simultaneously acting only (...)
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  25. Theory choice, non-epistemic values, and machine learning.Ravit Dotan - 2020 - Synthese (11):1-21.
    I use a theorem from machine learning, called the “No Free Lunch” theorem to support the claim that non-epistemic values are essential to theory choice. I argue that NFL entails that predictive accuracy is insufficient to favor a given theory over others, and that NFL challenges our ability to give a purely epistemic justification for using other traditional epistemic virtues in theory choice. In addition, I argue that the natural way to overcome NFL’s challenge is to use non-epistemic (...)
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  26. A Complete Theory of Everything (will be subjective).Marcus Hutter - 2010 - Algorithms 3 (4):329-350.
    Increasingly encompassing models have been suggested for our world. Theories range from generally accepted to increasingly speculative to apparently bogus. The progression of theories from ego- to geo- to helio-centric models to universe and multiverse theories and beyond was accompanied by a dramatic increase in the sizes of the postulated worlds, with humans being expelled from their center to ever more remote and random locations. Rather than leading to a true theory of everything, this trend faces a turning point after (...)
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  27.  6
    Review of Genes, genesis, and God: Values and their origins in natural and human history. [REVIEW]No Authorship Indicated - 1999 - Journal of Theoretical and Philosophical Psychology 19 (2):229-230.
    Reviews the book, Genes, genesis, and God: Values and their origins in natural and human history by Holmes Rolston III . Drawn from a series of lectures given by the author in November of 1997 at the University of Edinburgh as part of the Gifford Lectures, this book addresses the question of whether the supremely social and human phenomena of religion and ethics can be ultimately reduced to the phenomena of biology. Challenging much of what passes for unassailable truth in (...)
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  28.  8
    Consistency of Modeled and Observed Temperature Trends in the Tropical Troposphere.B. D. Santer, P. W. Thorne, L. Haimberger, K. E. Taylor, T. M. L. Wigley, J. R. Lanzante, S. Solomon, M. Free, P. J. Gleckler, P. D. Jones, T. R. Karl, S. A. Klein, C. Mears, D. Nychka, G. A. Schmidt, S. C. Sherwood & F. J. Wentz - 2018 - In Elisabeth A. Lloyd & Eric Winsberg (eds.), Climate Modelling: Philosophical and Conceptual Issues. Springer Verlag. pp. 85-136.
    Early versions of satellite and radiosonde datasets suggested that the tropical surface had warmed more than the troposphere, while climate models consistently showed tropospheric amplification of surface warming in response to human-caused increases in greenhouse gases. We revisit such comparisons here using new observational estimates of surface and tropospheric temperature changes. We find that there is no longer a serious discrepancy between modeled and observed trends in the tropics. Our results contradict a recent claim that all simulated temperature trends in (...)
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  29.  6
    Fact Sheet for “Consistency of Modeled and Observed Temperature Trends in the Tropical Troposphere”.Ben Santer, Peter Thorne, Leo Haimberger, Karl Taylor, Tom Wigley, John Lanzante, Susan Solomon, Melissa Free, Peter Gleckler, Phil Jones, Tom Karl, Steve Klein, Carl Mears, Doug Nychka, Gavin Schmidt, Steve Sherwood & Frank Wentz - 2018 - In Elisabeth A. Lloyd & Eric Winsberg (eds.), Climate Modelling: Philosophical and Conceptual Issues. Springer Verlag. pp. 73-84.
    Using state-of-the-art observational datasets and results from a large archive of computer model simulations, a consortium of scientists from 12 different institutions has resolved a long-standing conundrum in climate science—the apparent discrepancy between simulated and observed temperature trends in the tropics. Research published by this group indicates that there is no fundamental discrepancy between modeled and observed tropical temperature trends when one accounts for: the uncertainties in observations; and the statistical uncertainties in estimating trends from observations. These results refute a (...)
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  30.  26
    Free Lunch with the Stench Wench: Toward a Synaesthetics of Poverty and Shame in Catherine Hoffmann's Performance.Alexandra Kokoli - 2018 - Hypatia 33 (3):485-499.
    Catherine Hoffmann's Free Lunch with the Stench Wench is a performance of abjection and self-abjection through poverty with an apotropaic aspiration: to shed the shame through sharing, and to create opportunities for a common social subjectivity that refuses to be silent about the struggle of its own creation and maintenance. Despite its title, Free Lunch does not come with a free lunch for the audience but creates an olfactory situation, through the onstage cooking of (...)
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  31.  2
    The Free Lunch Society.Alan C. Monheit - 2010 - Inquiry: The Journal of Health Care Organization, Provision, and Financing 47 (4):272-277.
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  32. A Modal Free Lunch.Tim Maudlin - 2020 - Foundations of Physics 50 (6):522-529.
    The meaning and truth conditions for claims about physical modality and causation have been considered problematic since Hume’s empiricist critique. But the underlying semantic commitments that follow from Hume’s empiricism about ideas have long been abandoned by the philosophical community. Once the consequences of that abandonment are properly appreciated, the problems of physical modality and causal locutions fall away, and can be painlessly solved.
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  33.  2
    Free Lunch America.Charles Buki - 2000 - Bulletin of Science, Technology and Society 20 (4):333-335.
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  34.  50
    Simulation of biological evolution and the nfl theorems.Ronald Meester - 2009 - Biology and Philosophy 24 (4):461-472.
    William Dembski (No free lunch: why specified complexity cannot be purchased without intelligence, 2002) claimed that the NFL theorems from optimization theory render darwinian biological evolution impossible. Häggström (Biology and Philosophy 22:217–230, 2007) argued that the NFL theorems are not relevant for biological evolution at all, since the assumptions of the NFL theorems are not met. Although I agree with Häggström (Biology and Philosophy 22:217–230, 2007), in this article I argue that the NFL theorems should be interpreted as (...)
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  35.  10
    Shakespeare's Free Lunch: A Critique of the D-CTC Solution to the Knowledge Paradox.Lucas Dunlap - unknown
    In this paper I argue that the consistency condition from the Deutsch's influential model for closed timelike curves differs significantly from the classical consistency condition found in Lewis and Novikov, as well as from the consistency condition found in the P-CTC model, the major rival to Deutsch's approach. Both the CCC and the P-CTC consistency condition are formulable in the context of a single history of the world. Deutsch's consistency condition relies on the existence of a structure of parallel worlds. (...)
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  36. Fitness among competitive agents: A brief note.William Dembski - manuscript
    The upshot of the No Free Lunch theorems is that averaged over all fitness functions, evolutionary computation does no better than blind search (see Dembski 2002, ch 4 as well as Dembski 2005 for an overview). But this raises a question: How does evolutionary computation obtain its power since, clearly, it is capable of doing better than blind search? One approach is to limit the fitness functions (see Igel and Toussaint 2001). Another, illustrated in David Fogel’s work on (...)
     
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  37.  47
    No Free Will.Will Provine - 1999 - Isis 90 (S2):S117-S132.
  38.  13
    巡回セールスマン問題における地形構造の解析.橋本 周司 吉澤 大樹 - 2001 - Transactions of the Japanese Society for Artificial Intelligence 16:309-315.
    This paper shows statistical analyses of the search-space landscape of travelling salesman problems in due consideration of stochastic optimization. It is known from existing works that travelling salesman problems have landscape called “a rugged landscape” and “big valley structure”. This work reveals more detailed structure of the landscape. We deal with the 1000 travelling salesman problems of 6 to 9 cities where the cities are arranged randomly and a travelling salesman problem of 100 cities. It is assumed that the rugged (...)
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  39.  24
    Do tiny contributions make a difference? Reply to Barnett.Martin Montminy - 2022 - Analysis 82 (4):655-662.
    Would a tiny contribution such as the addition of one drop of water to the canteen of a thirsty person relieve her suffering? According to Barnett’s 2017 paper ‘No free lunch’, the answer is ‘yes’: even tiny contributions can make a morally relevant difference. To defend this answer, Barnett raises an objection against the rival view that tiny contributions never make any difference. I argue that we should reject both Barnett’s and the rival view. I propose an alternative (...)
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  40.  93
    Intelligent design and the NFL theorems.Olle Häggström - 2007 - Biology and Philosophy 22 (2):217-230.
    Another look is taken at the model assumptions involved in William Dembski’s (2002a, No Free Lunch: Why Specified Complexity Cannot be Purchased without Intelligence. Roman & Littlefield, Lanham, MA) use of the NFL theorems from optimization theory to disprove the Darwinian theory of evolution by natural selection, and his argument is shown to be irrelevant to evolutionary biology.
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  41.  11
    In Search for Optimal Methods: New Insights About Meta-Induction.Gerhard Schurz - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (3):491-522.
    In this paper, the contributions to the account of meta-induction (Schurz 2019) collected in this volume are critically discussed and thereby, new insights are developed. How broad and expandable the program of meta-induction is can be learned from Ortner’s contribution. New insights about the transition from the a priori justification of meta-induction to the a posteriori justification of object-induction emerge from the reflection of Shogenji’s paper. How meta-induction may be applied also to religious prophecies and that their meta-inductive justification does (...)
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  42. Simulation of biological evolution under attack, but not really: a response to Meester.Stefaan Blancke, Maarten Boudry & Johan Braeckman - 2011 - Biology and Philosophy 26 (1):113-118.
    The leading Intelligent Design theorist William Dembski (Rowman & Littlefield, Lanham MD, 2002) argued that the first No Free Lunch theorem, first formulated by Wolpert and Macready (IEEE Trans Evol Comput 1: 67–82, 1997), renders Darwinian evolution impossible. In response, Dembski’s critics pointed out that the theorem is irrelevant to biological evolution. Meester (Biol Phil 24: 461–472, 2009) agrees with this conclusion, but still thinks that the theorem does apply to simulations of evolutionary processes. According to Meester, the (...)
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  43.  12
    Believing there is no free will corrupts intuitive cooperation.John Protzko, Brett Ouimette & Jonathan Schooler - 2016 - Cognition 151 (C):6-9.
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  44.  88
    Specification: the pattern that signifies intelligence.William A. Dembski - 2005 - Philosophia Christi 7 (2):299-343.
    Specification denotes the type of pattern that highly improbable events must exhibit before one is entitled to attribute them to intelligence. This paper analyzes the concept of specification and shows how it applies to design detection (i.e., the detection of intelligence on the basis of circumstantial evidence). Always in the background throughout this discussion is the fundamental question of Intelligent Design (ID): Can objects, even if nothing is known about how they arose, exhibit features that reliably signal the action of (...)
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  45.  37
    Machines Learn Better with Better Data Ontology: Lessons from Philosophy of Induction and Machine Learning Practice.Dan Li - 2023 - Minds and Machines 33 (3):429-450.
    As scientists start to adopt machine learning (ML) as one research tool, the security of ML and the knowledge generated become a concern. In this paper, I explain how supervised ML can be improved with better data ontology, or the way we make categories and turn information into data. More specifically, we should design data ontology in such a way that is consistent with the knowledge that we have about the target phenomenon so that such ontology can help us make (...)
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  46.  16
    There Is No Free Won't: The Role Definitions Play.L. Asma - 2017 - Journal of Consciousness Studies 24 (5-6):8-23.
    In this paper, I analyse how neuroscientists come to the conclusion that the brain 'decides' what we will do. I do so by focusing on a recent study on free won't, from which it is concluded that the decision to veto is not free. First, I argue that assumptions about voluntariness and freedom that underlie this and other Libet-style experiments are more stringent than assumed by other critics. Second, I claim that these assumptions lead to an experimental setting (...)
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  47. Should productivity growth be a social priority?Joseph Heath - unknown
    Yet this is precisely what I intend to do. As a way of conferring some initial legitimacy Perhaps the most fundamental axiom of upon this enterprise, I would like to start out modern economic science is that there simply by appealing to the “no free lunch” is no such thing as a free lunch. It is principle. To adopt productivity growth as a this axiom that gives us the concept of opporsocial priority is to set aside (...)
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  48. The fantasy life of Richard Wein: A response to a response.William Dembski - manuscript
    Talk.origins has officially archived Richard Wein's critique of my book No Free Lunch at http://www.talkorigins.org/design/faqs/nfl. I responded on the ISCID website at http://www.iscid.org/papers/Dembski_ObsessivelyCriticized_050902.pdf. Wein has now responded to that response at http://www.talkorigins.org/design/faqs/nfl/replynfl.html. This is my response to Wein's latest. My response here is copyright © 2002 and may be reprinted only for personal use.
     
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  49. Addicted to Caricatures: A Response to Brian Charlesworth.William A. Dembski - unknown
    One prominent evolutionist I know confided in me that he sometimes spends only an hour perusing a book that he has to review. I doubt if Brian Charlesworth spent even that much time with my book No Free Lunch. Charlesworth is a bright guy and could have done better. But no doubt he is also a busy guy. To save time and effort, it's therefore easier to put these crazy intelligent design creationists in their place rather than actually (...)
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  50. Evolution's logic of credulity: An unfettered response to Allen Orr.William Dembski - manuscript
    Allen Orr wrote an extended critical review (over 6000 words) of my book No Free Lunch for the Boston Review this summer (http://bostonreview.mit.edu/BR27.3/orr.html). The Boston Review subsequently contacted me and asked for a 1000 word response. I wrote a response of that length focusing on what I took to be the fundamental flaw in Orr's review (and indeed in Darwinian thinking generally, namely, conflating the realistically possible with the merely conceivable). What I didn't know (though I should have (...)
     
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