Results for 'truthmaker theory'

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  1. Undermining truthmaker theory.Timothy Perrine - 2015 - Synthese 192 (1):185-200.
    Truthmaker theorists hold that there is a metaphysically explanatory relation that holds between true claims and what exists. While some critics try to provide counterexamples to truthmaker theory, that response quickly leads to a dialectical standoff. The aim of this paper is to move beyond that standoff by attempting to undermine some standard arguments for truthmaker theory. Using realism about truth and a more pragmatic account of explanation, I show how some of those arguments can (...)
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  2. Tensed Truthmaker Theory.Sam Baron - 2015 - Erkenntnis 80 (5):923-944.
    Presentism faces a serious challenge from truthmaker theory. Standard solutions to the truthmaker objection against presentism proceed in one of two ways. Easy road presentists invoke new entities to satisfy the requirements of truthmaker theory. Hard road presentists, by contrast, flatly refuse to give in to truthmaker demands. Recently, a third way has been proposed. This response seeks to address the truthmaking problem by tensing our truthmaker principles. These views, though intuitive, are under-developed. (...)
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  3. Truthmaker Theory.Jamin Asay - 2014 - Internet Encyclopedia of Philosophy.
    Truthmaker theory is the branch of metaphysics that explores the relationships between what is true and what exists. Discussions of truthmakers and truthmaking typically start with the idea that truth depends on being, and not vice versa. For example, if the sentence ‘Kangaroos live in Australia’ is true, then there are kangaroos living in Australia. And if there are kangaroos living in Australia, then the sentence ‘Kangaroos live in Australia’ is true. But we can ask whether the sentence (...)
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  4.  92
    Why truthmaker theory cannot save divine simplicity.Dean Da Vee - 2021 - International Journal for Philosophy of Religion 90 (1):43-60.
    Although the doctrine of divine simplicity has faced substantial criticism in recent years, Jeffrey Brower has recently offered a novel defense of the view by appealing to contemporary truthmaker theory. In this paper, I will argue that Brower’s defense of divine simplicity requires an implausible account of how truthmaking works for essential intrinsic predications. I will first argue that, unless Brower is willing to make an ad hoc exception for how truthmaking works in God’s case, he is committed (...)
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  5. Orthodox truthmaker theory cannot be defended by cost/benefit analysis.Philip Goff - 2010 - Analysis 70 (1):45-50.
    (No abstract is available for this citation).
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  6.  53
    Truthmaker Theory without Truthmakers.Pablo Rychter - 2013 - Ratio 27 (3):276-290.
    Truthmaking without truthmakers (TWT, for short) is the thesis that although every true proposition is made true by reality, there need not be particular entities (like facts, states of affairs, or tropes) that make these propositions true. The first substantial part of this paper (section 2) is devoted to developing a particular version of TWT and at the same time defending TWT in general from arguments against it that have been advanced by orthodox truthmaker theorists. In the second part (...)
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  7.  87
    Truthmaker Theory Does Not Solve The Gettier Problem.Chad Vance - 2014 - Ratio 27 (3):291-305.
    Truthmaker theory has become immensely popular in recent years. So, it is not surprising that we are beginning to see it put to work in other areas of philosophy. Recently, several philosophers have proposed that truthmaker theory is the key to solving the Gettier problem. Edmund Gettier demonstrated that the traditional analysis of knowledge (as justified, true belief) was unsatisfactory. The truthmaker solution proposes that knowledge is a justified, true belief, where the source of one's (...)
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    Alethic pluralism and truthmaker theory.Takeshi Akiba - 2023 - Theoria 89 (1):98-113.
    According to alethic pluralism, sentences belonging to different domains of discourse can be true by having different alethic (i.e., truth-constituting) properties. Against this pluralistic view, Jamin Asay has recently argued that pluralists' appeal to multiple alethic properties is ill-motivated because the main advantages of pluralism can already be obtained within the framework of standard truthmaker theory. In response to this objection, this paper argues that Asay's claim does not hold with respect to one of the central advantages of (...)
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    Truthmaker Theory as a Method in Ontology.Naoaki Kitamura - 2014 - Kagaku Tetsugaku 47 (1):1-17.
    This paper aims to precisely characterize the theoretical significance of the notion of truthmakers. First, the closeness of the alleged principle of truthmaker theory and the realistic intuition on which it rests is assessed, thereby determining to what extent a certain kind of general objection against truthmaker theory carries weight. Second, the principle of truthmaker theory is reformulated on the basis of this assessment, and truthmaker theory is argued to offer a methodological (...)
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    Truthmaker Theory and Naturalism.David Rowe - 2018 - Metaphysica 19 (2):225-250.
    This paper argues that there is a heretofore unresolved tension between truthmaker-style metaphysics and a plausible version of Naturalism. At the turn of the century, George Molnar proposed four prima facie plausible principles for a realist metaphysics in order to expose truthmaker theory’s incapacity to find truthmakers for negative truths. I marshal the current plethora of attempted solutions to the problem into a crisp trilemma. Those who solve it claim that Molnar’s tetrad is consistent; those who dissolve (...)
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  11. From Humean Truthmaker Theory to Priority Monism.Ross P. Cameron - 2010 - Noûs 44 (1):178 - 198.
    I argue that the truthmaker theorist should be a priority monist if she wants to avoid commitment to mysterious necessary connections. In section 1 I briefly discuss the ontological options available to the truthmaker theorist. In section 2 I develop the argument against truthmaker theory from the Humean denial of necessary connections. In section 3 I offer an account of when necessary connections are objectionable. In section 4 I use this criterion to narrow down the options (...)
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  12. Change, Difference, and Orthodox Truthmaker Theory.Timothy Pawl - 2014 - Australasian Journal of Philosophy 92 (3):539-550.
    Australasian Journal of Philosophy, Ahead of Print.
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  13. Run Aground: Kit Fine’s Critique of Truthmaker Theory.Jamin Asay - 2017 - Philosophical Quarterly 67 (268):443-463.
    Kit Fine, the leading proponent of the metaphysical project of grounding theory, has offered a number of potentially devastating objections to truthmaker theory, the branch of metaphysics dedicated to exploring the ontological grounds for truths. In this paper I show what presuppositions about truthmaker theory Fine’s objections are based upon, and why they are false. I discuss four objections that Fine raises, and demonstrate how truthmaker theorists may respond to them. I then showcase the (...)
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  14. Truths and Processes: A Critical Approach to Truthmaker Theory.Gustavo Picazo - 2014 - Philosophia 42 (3):713-739.
    The starting point of this paper is the idea that linguistic representation is the result of a global process: a process of interaction of a community of cognitive-linguistic agents, with one another and with the environment. I maintain that the study of truth, meaning and related notions should be addressed without losing perspective of this process, and I oppose the ‘static’ or ‘analytic’ approach, which is fundamentally based on our own knowledge of the conventional meaning of words and sentences, and (...)
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  15. A Theory of Truthmaking: Metaphysics, Ontology, and Reality.Jamin Asay - 2020 - New York, NY: Cambridge University Press.
    The theory of truthmaking has long aroused skepticism from philosophers who believe it to be tangled up in contentious ontological commitments and unnecessary theoretical baggage. In this book, Jamin Asay shows why that suspicion is unfounded. Challenging the current orthodoxy that truthmaking's fundamental purpose is to be a tool for explaining why truths are true, Asay revives the conception of truthmaking as fundamentally an exercise in ontology: a means for coordinating one's beliefs about what is true and one's ontological (...)
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  16. Truthmaking, Truth, and Realism: New Work for a Theory of Truthmakers.Jamin Asay - 2011 - Dissertation, University of North Carolina at Chapel Hill
    Truthmaker theory begins with the idea that truth depends upon reality. When a truth-bearer is true, that is because something or other in the world makes it true. My dissertation offers a theory of truthmakers that shows how we should flesh out this thought while avoiding the contentious metaphysical commitments that are built into other truthmaker theories. Because of these commitments, many philosophers have come to view truthmaker theory as being essentially tied to correspondence (...)
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  17. A Theory of Truthmaker Content I: Conjunction, Disjunction and Negation.Kit Fine - 2017 - Journal of Philosophical Logic 46 (6):625-674.
    I develop a basic theory of content within the framework of truthmaker semantics and, in the second part, consider some of the applications to subject matter, common content, logical subtraction and ground.
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  18. Truthmaking: With and Without Counterpart Theory.Phillip Bricker - 2015 - In Barry Loewer & Jonathan Schaffer (eds.), The Blackwell Companion to David Lewis. Oxford, UK: Blackwell. pp. 159–187.
    According to the Truthmaker Principle: every truth has a truthmaker. Attempts to come to grips with the Truthmaker Principle played a prominent role in Lewis’s metaphysical writings over the last fifteen years of his career. Although Lewis agreed that the truth of propositions must somehow be ontologically grounded, the Truthmaker Principle was too strong: it conflicted with two of Lewis’s most fundamental metaphysical assumptions, the uniqueness of composition and the Humean denial of necessary connections. Lewis endorsed (...)
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  19. Minimal Truthmakers.Donnchadh O'Conaill & Tuomas E. Tahko - 2016 - Pacific Philosophical Quarterly 97 (2):228-244.
    A minimal truthmaker for a given proposition is the smallest portion of reality which makes this proposition true. Minimal truthmakers are frequently mentioned in the literature, but there has been no systematic account of what they are or of their importance. In this article we shall clarify the notion of a minimal truthmaker and argue that there is reason to think that at least some propositions have minimal truthmakers. We shall then argue that the notion can play a (...)
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  20. A Theory of Truthmaker Content II: Subject-matter, Common Content, Remainder and Ground.Kit Fine - 2017 - Journal of Philosophical Logic 46 (6):675-702.
  21.  43
    The Truthmaker Account Is Not a Causal Theory.Adrian Heathcote - 2014 - Acta Analytica 29 (3):383-388.
    It is argued that the part-whole account of the relation between evidence and the larger state of affairs the evidence is evidence of—an account that was elucidated in the paper ‘Truthmaking, Evidence of, and Impossibility Proofs’ —provides a better basis for epistemology than causal relations between events. I apply this to a well-known phenomenon in physics which suggests that causal connectedness is not necessary for knowledge.
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  22. Ecumenical Truthmaking: A Précis of A Theory of Truthmaking.Jamin Asay - 2022 - Asian Journal of Philosophy 1 (1(3)):1-5.
    The theory of truthmaking has long aroused skepticism from philosophers who believe it to be tangled up in contentious ontological commitments and unnecessary theoretical baggage. I argue in A Theory of Truthmaking that this suspicion is unfounded. Philosophers across the spectrum can take advantage of truthmaking, and use it to better understand the ontological implications of topics that arise all over the philosophical landscape. Challenging the current orthodoxy that truthmaking's fundamental purpose is to be a tool for explaining (...)
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  23. A Platonic Theory of Truthmaking.Scott Berman - 2013 - Metaphysica 14 (1):109-125.
    A Platonic explanation of non-modal and modal truths is explained and defended using non-spatiotemporal entities as their truthmakers. It is argued, further, that this theory is parsimonious, naturalistic, and ontologically serious. These features should commend the view to a wide swath of philosophers.
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  24. Truthmakers and explanation.David Liggins - 2005 - In Helen Beebee & Julian Dodd (eds.), Truthmakers: The Contemporary Debate. Clarendon Press. pp. 105--115.
    Truthmaker theory promises to do some useful philosophical work: equipping us to argue against phenomenalism and Rylean behaviourism, for instance, and helping us decide what exists (Lewis 1999, 207; Armstrong 1997, 113-119). But it has proved hard to formulate a truthmaker theory that is both useful and believable. I want to suggest that a neglected approach to truthmakers – that of Ian McFetridge – can surmount some of the problems that make other theories of truthmaking unattractive. (...)
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  25. Towards a Pluralist Theory of Truthmaking.Aaron M. Griffith - 2015 - Erkenntnis 80 (6):1157-1173.
    This paper introduces a new approach to the theory of truthmaking. According to this approach, there are multiple forms of truthmaking. Here, I characterize and motivate a specific version of this approach, which I call a ‘Pluralist Theory of Truthmaking.’ It is suggested that truthmaking is a plural, variegated phenomenon wherein different kinds of truths, e.g., positive truths, negative truths, counterfactual truths, etc., are made true in different ways. While the paper only aims to lay the groundwork for (...)
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  26. Truthmaker commitments.Jonathan Schaffer - 2008 - Philosophical Studies 141 (1):7-19.
    On the truthmaker view of ontological commitment [Heil (From an ontological point of view, 2003); Armstrong (Truth and truthmakers, 2004); Cameron (Philosophical Studies, 2008)], a theory is committed to the entities needed in the world for the theory to be made true. I argue that this view puts truthmaking to the wrong task. None of the leading accounts of truthmaking—via necessitation, supervenience, or grounding—can provide a viable measure of ontological commitment. But the grounding account does provide a (...)
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  27. Is a metaphysical theory of truthmakers possible?Josh Parsons - manuscript
    Truthmaker theorists typically claim not only that all truths have truthmakers (Truthmaker Maximalism), but also that there is some enlightening metaphysical theory to be given of the nature of those truthmakers (e.g. that they are Armstrongian states of affairs, or tropes, or concrete individuals). Call this latter thesis the "Material Theory Thesis" (it is the thesis that there is some true material theory of truthmakers). I argue that the Material Theory Thesis is inconsistent with (...)
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  28. Truthmakers and necessary connections.Ross Paul Cameron - 2008 - Synthese 161 (1):27-45.
    In this paper I examine the objection to truthmaker theory, forcibly made by David Lewis and endorsed by many, that it violates the Humean denial of necessary connections between distinct existences. In Sect. 1 I present the argument that acceptance of truthmakers commits us to necessary connections. In Sect. 2 I examine Lewis’ ‘Things-qua-truthmakers’ theory which attempts to give truthmakers without such a commitment, and find it wanting. In Sects. 3–5 I discuss various formulations of the denial (...)
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  29. Fundamental truthmakers and non-fundamental truths.Arthur Schipper - 2019 - Synthese 198 (4):3073-3098.
    Recently, philosophers have tried to develop a version of truthmaker theory which ties the truthmaking relation closely to the notion of fundamentality. In fact, some of these truthmaker-fundamentalists, as I call them, assume that the notion of fundamentality is intelligible in part by citing, as central examples of fundamentals, truthmakers, which they understand necessarily as constituents of fundamental reality. The aim of this paper is first to bring some order and clarity to this discussion, sketching how far (...)
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  30. Negative truths and truthmaker principles.Julian Dodd - 2007 - Synthese 156 (2):383-401.
    This paper argues that a consideration of the problem of providing truthmakers for negative truths undermines truthmaker theory. Truthmaker theorists are presented with an uncomfortable dilemma. Either they must take up the challenge of providing truthmakers for negative truths, or else they must explain why negative truths are exceptions to the principle that every truth must have a truthmaker. The first horn is unattractive since the prospects of providing truthmakers for negative truths do not look good (...)
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  31. Difficult Cases in the Theory of Truthmaking.D. M. Armstrong - 2000 - The Monist 83 (1):150-160.
    Analyzes difficult case in the theory of truthmaking. Account on the notion of a truthmaker by philosopher Bertrand Russell; Context of the correspondence theory of truth; Requisites of a truthmaker; Discussion on negative truths, universally quantified truths and modal truths.
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  32. Truthmaking for Modal Skeptics.Jamin Asay - 2013 - Thought: A Journal of Philosophy 2 (4):303-312.
    Standard truthmaker theory has generally assumed a realist account of de re modality and essences. But there are reasons to be skeptical about such a view, and for considering antirealist alternatives. Can truthmaker theory survive in the face of such skepticism? I argue that it can, but that only certain antirealist perspectives on de re modality are acceptable for truthmaker theory. In particular, either a quasi-realist or conventionalist account of de re modality is needed (...)
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  33. Truthmakers: A tale of two explanatory projects.Peter Schulte - 2011 - Synthese 181 (3):413-431.
    Truthmakers are supposed to explain the truth of propositions, but it is unclear what kind of explanation truthmakers can provide. In this paper, I argue that ‘truthmaker explanations’ conflate two different explanatory projects. The first project is essentially concerned with truth, while the second project is concerned with reductive explanation. It is the latter project, I maintain, which is really central to truthmaking theory. On this basis, a general account of truthmaking can be formulated, which, when combined with (...)
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  34. Truthmakers and the groundedness of truth.David Liggins - 2008 - Proceedings of the Aristotelian Society 108 (1pt2):177-196.
    Truthmaker theorists claim that for every truth, there is something in virtue of which it is true—or, more cautiously, that for every truth in some specified class of truths, there is something in virtue of which it is true. I argue that it is hard to see how the thought that truth is grounded in reality lends any support to truthmaker theory.
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  35. Truthmaking without necessitation.Rachael Briggs - 2012 - Synthese 189 (1):11-28.
    I propose an account truthmaking that provides truthmakers for negative truths. The account replaces Truthmaker Necessitarianism with a "Duplication Principle", according to which a suitable entity T is a truthmaker for a proposition P just in case the existence of an appropriate counterpart of T entails the truth of P, where the counterpart relation is cashed out in terms of qualitative duplication. My account captures an intuitive notion of truthmakers as "things the way they are", validates two appealing (...)
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  36.  60
    Truthmaking, Evidence Of, and Impossibility Proofs.Adrian Heathcote - 2014 - Acta Analytica 29 (3):363-375.
    Beginning with Zagzebski (The Philosophical Quarterly 44:65–73, 1994), some philosophers have argued that there can be no solution to the Gettier counterexamples within the framework of a fallibilist theory of knowledge. If true, this would be devastating, since it is believed on good grounds that infallibilism leads to scepticism. But I argue here that these purported proofs are mistaken and that the truthmaker solution to the Gettier problems is both cogent and fallibilist in nature. To show this I (...)
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  37. Truthmaker Monism.Taishi Yukimoto & Tora Koyama - 2020 - Annals of the Japan Association for Philosophy of Science 29:61-73.
    Monism is a metaphysical view according to which there is only one fundamental object. This paper will explore monism within the context of truthmaker theory, or Truthmaker Monism, a view rarely discussed in literature. Although few truthmaker theorists defend monism, at least explicitly, some theories seem to share the spirit of monism to some extent. Interestingly, they are proposed as solutions for the same problem, called the problem of negative truth. A close examination will show that (...)
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  38. Truthmakers.Gonzalo Rodriguez-Pereyra - 2006 - Philosophy Compass 1 (2):186–200.
    This bulletin contains a summary of the main topics of discussion in truthmaker theory, namely: the definition of truthmakers, problems with Truthmaker Necessitarianism and Truthmaker Maximalism, the ontological burden of truthmakers and the recalcitrant topic of truthmakers for negative truths.
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  39. Relationships and events: towards a general theory of reification and truthmaking.Nicola Guarino & Giancarlo Guizzardi - 2016 - In Advances in Artificial Intelligence: Proceedings of the 15th International Conference of the Italian Association for Artificial Intelligence. pp. 237-249.
    We propose a novel ontological analysis of relations and relationships based on a re-visitation of a classic problem in the practice of knowledge repre- sentation and conceptual modeling, namely relationship reification. Our idea is that a relation holds in virtue of a relationship's existence. Relationships are therefore truthmakers of relations. In this paper we present a general theory or reification and truthmaking, and discuss the interplay between events and rela- tionships, suggesting that relationships are the focus of events, which (...)
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  40.  27
    The dependence of truth on being in Asay’s A Theory of Truthmaking.Aaron M. Griffith - 2021 - Asian Journal of Philosophy 1 (1):1-6.
    In this commentary piece, I argue that Asay’s accounts of truth and truthmaking in A Theory of Truthmaking give no role to the idea that truth depends on being. In fact, some of the positions taken in the book are in tension with this idea that has been central to truthmaker theory. I consider how three aspects of Asay’s account relate to the idea that truth depends on being.
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  41. Truth and truthmakers.D. M. Armstrong - 2004 - New York: Cambridge University Press.
    Truths are determined not by what we believe, but by the way the world is. Or so realists about truth believe. Philosophers call such theories correspondence theories of truth. Truthmaking theory, which now has many adherents among contemporary philosophers, is the most recent development of a realist theory of truth, and in this book D. M. Armstrong offers the first full-length study of this theory. He examines its applications to different sorts of truth, including contingent truths, modal (...)
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  42. Truthmakers Against Correspondence.Jamin Asay - 2020 - Grazer Philosophische Studien 97 (2):271-293.
    Many philosophers think truthmaker theory offers a correspondence theory of truth. Despite the similarities, however, this identification cannot be correct. Truthmaker theory offers no theory of truth, nor can it be employed to offer an acceptable substantive theory of truth. Instead, truthmaker theory takes truth for granted. Though truthmaker theory is not a correspondence theory, it shares with it the same motivational basis—that truth is worldly—and better accounts for (...)
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  43.  13
    Truthmakers.Timothy H. Pickavance & Robert C. Koons - 2017 - In The Atlas of Reality. Wiley. pp. 13–46.
    The first way that a discussion of truth gets one going in metaphysics is via its connection to propositions. Philosophers have taken a number of views about the true nature of propositions. The early part of the twentieth century saw a strong reaction against holism, led prominently by Bertrand Russell and Ludwig Wittgenstein. This chapter considers why we should believe in Classical Truthmaker Theory in the first place, as well as a fundamental challenge to the very foundation of (...)
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  44. Truthmakers and the disjunction thesis.Stephen Read - 2000 - Mind 109 (432):67-80.
    The correspondence theory of truth has experienced something of a revival recently in the form of the Truthmaker Axiom: whatever is true, something makes it true. We consider various postulates which have been proposed to characterize truthmaking, in particular, the Disjunction Thesis (DT), that whatever makes a disjunction true must make one or other disjunct true. In conjunction with certain other assumptions, DT leads to triviality. We show that there are elaborations of truthmaking on which DT holds (which (...)
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  45. Truthmaker necessitarianism and maximalism.Ross P. Cameron - 2005 - Logique Et Analyse 48 (189-192):43-56.
    In this paper I examine two principles of orthodox truthmaker theory: truthmaker maximalism - the doctrine that every (contingent) truth has a truthmaker, and truthmaker necessitarianism - the doctrine that the existence of a truthmaker necessitates the truth of any proposition which it in fact makes true. I argue that maximalism should be rejected and that once it is we only have reason to hold a restricted form of necessitarianism.
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  46. Ontological accounting and aboutness: on Asay’s A Theory of Truthmaking.Arthur Schipper - 2021 - Asian Journal of Philosophy 1 (1):1-8.
    In this paper, I first present an overview of Asay’s _A Theory of Truthmaking_, highlighting what I take to be some of its most attractive features, especially his re-invigoration of the ontological understanding of truthmaking and his defence of ontology-first truthmaking over explanation-first truthmaking. Then, I articulate what I take to be a puzzling potential inconsistency: (a) he appeals to considerations to do with aboutness in criticising how well ontological views account for truth while (b) ruling out aboutness from (...)
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  47. Positive truthmakers for negative truths: a solution to Molnar’s problem.Jonas Waechter - 2017 - Philosophical Studies 174 (3):579-592.
    The present paper addresses Molnar’s problem :72–86, 2000): that of finding positive truthmakers for negative truths. The proposed solution, called, is to hold truth and falsity to be primitive and positive features of propositions and to take every literal negative truth to be made true by the falsity of the atomic proposition that it embeds. The solution is shown to be compatible with Maximalism, Necessitarianism and with the Entailment Thesis, as well as with most if not all possible variants of (...)
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  48. Truthmaker Explanations.Barry Smith & Jonathan Simon - 2007 - In Jean-Maurice Monnoyer (ed.), Metaphysics and Truthmakers. Pisctaway, NJ: Ontos Verlag. pp. 79-98.
    This paper is a fresh attempt to articulate the role of a theory of truthmakers. We argue that truthmaker theory constitutes a cornerstone of good methodology in metaphysics, but that a conflation of truthmaker theory with the theory of truth has been responsible for certain excesses associated with truthmaker-based approaches in the recent literature. If truthmaker theory is not a component of a theory of truth, then truthmaker maximalism – (...)
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  49.  36
    Truthmaking and pragmatist conceptions of truth and reality.Sami Pihlström - 2005 - Minerva - An Internet Journal of Philosophy 9 (1).
    This paper argues for a rearticulation of the theory of truthmaking within pragmatism. The concept of truthmaking has usually been employed by metaphysical realists, but it can be reinterpreted in a pragmatist manner, following both classical and more recent pragmatists’ ideas on the “making of truth” as a process within human experience and world-categorization. Thus, a pragmatist criticism of metaphysical realism can be extended to the core areas of realist metaphysics, including the truthmaking theory.
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  50. truthmakers for 1st order sentences - a proposal.Friedrich Wilhelm Grafe - 2020 - Archive.Org.
    The purpose of this paper is to communicate - as a proposal - a general method of assigning a 'truthmaker' to any 1st order sentence in each of its models. The respective construct is derived from the standard model theoretic (recursive) satisfaction definition for 1st order languages and is a conservative extension thereof. The heuristics of the proposal (which has been somewhat idiosyncratic from the current point of view) and some more technical detail of the construction may be found (...)
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