Results for ' explaining why certain mathematical propositions, being true'

999 found
Order:
  1.  6
    Mathematical Platonism.Nicolas Pain - 2011-09-16 - In Michael Bruce & Steven Barbone (eds.), Just the Arguments. Wiley‐Blackwell. pp. 373–375.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  2.  19
    Deducing false propositions from true ideas: Nieuwentijt on mathematical reasoning.Sylvia Pauw - 2020 - Synthese 197 (11):4927-4945.
    This paper argues that, for Bernard Nieuwentijt, mathematical reasoning on the basis of ideas is not the same as logical reasoning on the basis of propositions. Noting that the two types of reasoning differ helps make sense of a peculiar-sounding claim Nieuwentijt makes, namely that it is possible to mathematically deduce false propositions from true abstracted ideas. I propose to interpret Nieuwentijt’s abstracted ideas as incomplete mental copies of existing objects. I argue that, according to Nieuwentijt, a proposition (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  3. Why Can’t There Be Numbers?David Builes - forthcoming - The Philosophical Quarterly.
    Platonists affirm the existence of abstract mathematical objects, and Nominalists deny the existence of abstract mathematical objects. While there are standard arguments in favor of Nominalism, these arguments fail to account for the necessity of Nominalism. Furthermore, these arguments do nothing to explain why Nominalism is true. They only point to certain theoretical vices that might befall the Platonist. The goal of this paper is to formulate and defend a simple, valid argument for the necessity of (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  4. Plato’s Metaphysical Development before Middle Period Dialogues.Mohammad Bagher Ghomi - manuscript
    Regarding the relation of Plato’s early and middle period dialogues, scholars have been divided to two opposing groups: unitarists and developmentalists. While developmentalists try to prove that there are some noticeable and even fundamental differences between Plato’s early and middle period dialogues, the unitarists assert that there is no essential difference in there. The main goal of this article is to suggest that some of Plato’s ontological as well as epistemological principles change, both radically and fundamentally, between the early and (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  5. Why is there Philosophy of Mathematics AT ALL?Ian Hacking - 2011 - South African Journal of Philosophy 30 (1):1-15.
    Mathematics plays an inordinate role in the work of many of famous Western philosophers, from the time of Plato, through Husserl and Wittgenstein, and even to the present. Why? This paper points to the experience of learning or making mathematics, with an emphasis on proof. It distinguishes two sources of the perennial impact of mathematics on philosophy. They are classified as Ancient and Enlightenment. Plato is emblematic of the former, and Kant of the latter. The Ancient fascination arises from the (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   27 citations  
  6. No longer true.Luca Barlassina & Fabio Del Prete - manuscript
    There are sentences that express the same temporally fully specified proposition at all contexts--call them 'context-insensitive, temporally specific sentences.' Sentence (1) 'Obama was born in 1961' is a case in point: at all contexts, it expresses the proposition ascribing to the year 1961 the property of being a time in which Obama was born. Suppose that someone uttered (1) in a context located on Christmas 2000 in our world. In this context, (1) is a true sentence about the (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark  
  7.  17
    The Epistemic Puzzle of Perception. Conscious Experience, Higher-Order Beliefs, and Reliable Processes.Harmen Ghijsen - 2014 - Dissertation, Ku Leuven
    This thesis mounts an attack against accounts of perceptual justification that attempt to analyze it in terms of evidential justifiers, and has defended the view that perceptual justification should rather be analyzed in terms of non-evidential justification. What matters most to perceptual justification is not a specific sort of evidence, be it experiential evidence or factive evidence, what matters is that the perceptual process from sensory input to belief output is reliable. I argue for this conclusion in the following way. (...)
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  8. How to be a redundant realist.Kurt L. Sylvan - 2012 - Episteme 9 (3):271-282.
    In Group Agency, List and Pettit defend ‘non-redundant realism’ about group agency, a view on which facts about group agents are not ‘readily reducible’ to facts about individuals, and the dependence of group agents on individuals is so holistic that one cannot predict facts about group agents on the basis of facts about their members. This paper undermines L&P's case in three stages. §1 shows that L&P's core argument is invalid. L&P infer and from two facts: that group agents must (...)
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  9.  22
    The Skeptical Challenges of Hume and Berkeley: Can They Be Answered?Michael Tooley - 2011 - Proceedings and Addresses of the American Philosophical Association 85 (2):27-46.
    My topic is the skeptical challenges that are posed by Hume and Berkeley. Can one show, contrary to what Hume claimed, that one is justified in projecting regularities that have held in the past into the future? Can one show that induction is justified? Or can one show, contrary to what Berkeley claimed, not only that the hypothesis that there is an external, physical world expresses a coherent proposition, but also one that is extremely likely to be true? -/- (...)
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  10. On the functionalization of pluralist approaches to truth.Cory Wright - 2005 - Synthese 145 (1):1–28.
    Traditional inflationary approaches that specify the nature of truth are attractive in certain ways; yet, while many of these theories successfully explain why propositions in certain domains of discourse are true, they fail to adequately specify the nature of truth because they run up against counterexamples when attempting to generalize across all domains. One popular consequence is skepticism about the efficaciousness of inflationary approaches altogether. Yet, by recognizing that the failure to explain the truth of disparate propositions (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   22 citations  
  11. Instrumental reasons for belief: elliptical talk and elusive properties.Asbjørn Steglich-Petersen & Mattias Skipper - 2020 - In Sebastian Schmidt & Gerhard Ernst (eds.), The Ethics of Belief and Beyond: Understanding Mental Normativity. Abingdon, UK: Routledge. pp. 109-125.
    Epistemic instrumentalists think that epistemic normativity is just a special kind of instrumental normativity. According to them, you have epistemic reason to believe a proposition insofar as doing so is conducive to certain epistemic goals or aims—say, to believe what is true and avoid believing what is false. Perhaps the most prominent challenge for instrumentalists in recent years has been to explain, or explain away, why one’s epistemic reasons often do not seem to depend on one’s aims. This (...)
    Direct download  
     
    Export citation  
     
    Bookmark   4 citations  
  12.  24
    correct provided the mathematical axioms of the metalanguage are true–and that proviso uses the very notion of truth that some people claim Tarski completely explained for us! Why do I say this? Well, remember that Tarski's criterion of adequacy is that all the T-sentences must be theorems of the metalanguage. If the metalanguage is incorrect and it can be incorrect with.Comments on Charles Parsons - 2012 - In Maria Baghramian (ed.), Reading Putnam. New York: Routledge.
    Direct download  
     
    Export citation  
     
    Bookmark  
  13.  19
    Interpretation in Legal Theory.Andrei Marmor (ed.) - 1990 - Hart Publishing.
    Chapter 1: An Introduction: The ‘Semantic Sting’ Argument Describes Dworkin’s theory as concerning the conditions of legal validity. “A legal system is a system of norms. Validity is a logical property of norms in a way akin to that in which truth is a logical property of propositions. A statement about the law is true if and only if the norm it purports to describe is a valid legal norm…It follows that there must be certain conditions which render (...)
    Direct download  
     
    Export citation  
     
    Bookmark   11 citations  
  14. Frege's Judgement Stroke and the Conception of Logic as the Study of Inference not Consequence.Nicholas J. J. Smith - 2009 - Philosophy Compass 4 (4):639-665.
    One of the most striking differences between Frege's Begriffsschrift (logical system) and standard contemporary systems of logic is the inclusion in the former of the judgement stroke: a symbol which marks those propositions which are being asserted , that is, which are being used to express judgements . There has been considerable controversy regarding both the exact purpose of the judgement stroke, and whether a system of logic should include such a symbol. This paper explains the intended role (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   22 citations  
  15.  71
    Thick concepts and internal reasons.Ulrike Heuer - 2012 - In Ulrike Heuer & Gerald Lang (eds.), Luck, Value, and Commitment: Themes from the Ethics of Bernard Williams. Oxford, GB: Oxford University Press USA. pp. 219.
    It has become common to distinguish between two kinds of ethical concepts: thick and thin ones. Bernard Williams, who coined the terms, explains that thick concepts such as “coward, lie, brutality, gratitude and so forth” are marked by having greater empirical content than thin ones. They are both action-guiding and world-guided: -/- If a concept of this kind applies, this often provides someone with a reason for action… At the same time, their application is guided by the world. A concept (...)
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations  
  16. Why Propositions Cannot be Sets of Truth-supporting Circumstances.Scott Soames - 2008 - Journal of Philosophical Logic 37 (3):267-276.
    No semantic theory satisfying certain natural constraints can identify the semantic contents of sentences (the propositions they express), with sets of circumstances in which the sentences are true–no matter how fine-grained the circumstances are taken to be. An objection to the proof is shown to fail by virtue of conflating model-theoretic consequence between sentences with truth-conditional consequence between the semantic contents of sentences. The error underlines the impotence of distinguishing semantics, in the sense of a truth-based theory of (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   15 citations  
  17.  27
    On the Adequacy of a Substructural Logic for Mathematics and Science.Neil Tennant - 2022 - Philosophical Quarterly 72 (4):1002-1018.
    Williamson argues for the contention that substructural logics are ‘ill-suited to acting as background logics for science’. That contention, if true, would be very important, but it is refutable, given what is already known about certain substructural logics. Classical Core Logic is a substructural logic, for it eschews the structural rules of Thinning and Cut and has Reflexivity as its only structural rule. Yet it suffices for classical mathematics, and it furnishes all the proofs and disproofs one needs (...)
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  18. Filozofia praw człowieka. Prawa człowieka w świetle ich międzynarodowej ochrony.Marek Piechowiak - 1999 - Lublin: Towarzystwo Naukowe KUL.
    PHILOSOPHY OF HUMAN RIGHTS: HUMAN RIGHTS IN LIGHT OF THEIR INTERNATIONAL PROTECTION Summary The book consists of two main parts: in the first, on the basis of an analysis of international law, elements of the contemporary conception of human rights and its positive legal protection are identified; in the second - in light of the first part -a philosophical theory of law based on the tradition leading from Plato, Aristotle, and St. Thomas Aquinas is constructed. The conclusion contains an application (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  19.  16
    A Journey Around the Cartesian Circle.Ewing Y. Chinn - 1983 - Philosophy Research Archives 9:279-292.
    According to many critics, Descartes argued in a circle when he presumed to base the certainty (and thus knowledge) of propositions that fulfill his epistemic criterion of being “clearly and distinctly perceived” on the demonstration that God exists and is not a deceiver. But his critics say, that demonstration, as he presented it, presupposed the validity of the same epistemic criterion. I critically examine two major strategies to dispel the appearance of circularity, two ways of interpreting Descartes’ argument.My approach (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  20.  12
    Why a Gricean-style defense of the vacuous truth of counterpossibles won’t work, but a defense based on heuristics just might.Tomasz Puczyłowski - 2024 - Synthese 203 (1):1-18.
    Counterpossibles are counterfactuals with an impossible antecedent. According to the orthodox view of counterfactuals, all counterpossibles are vacuously true. This is puzzling because some counterpossible statements seem to be false. The paper analyzes two approaches to explaining why certain counterpossibles, though perhaps true, may appear to be false. The first, which appeals to the Gricean mechanism of conversational implicatures, asserts that some counterpossibles appear to be false because their assertion carries with it a false conversational implicature. (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  21. Natural languages and context-free languages.Geoffrey K. Pullum & Gerald Gazdar - 1980 - Linguistics and Philosophy 4 (4):471 - 504.
    Notice that this paper has not claimed that all natural languages are CFL's. What it has shown is that every published argument purporting to demonstrate the non-context-freeness of some natural language is invalid, either formally or empirically or both.18 Whether non-context-free characteristics can be found in the stringset of some natural language remains an open question, just as it was a quarter century ago.Whether the question is ultimately answered in the negative or the affirmative, there will be interesting further questions (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   26 citations  
  22. Objects as Temporary Autonomous Zones.Tim Morton - 2011 - Continent 1 (3):149-155.
    continent. 1.3 (2011): 149-155. The world is teeming. Anything can happen. John Cage, “Silence” 1 Autonomy means that although something is part of something else, or related to it in some way, it has its own “law” or “tendency” (Greek, nomos ). In their book on life sciences, Medawar and Medawar state, “Organs and tissues…are composed of cells which…have a high measure of autonomy.”2 Autonomy also has ethical and political valences. De Grazia writes, “In Kant's enormously influential moral philosophy, autonomy (...)
     
    Export citation  
     
    Bookmark  
  23.  58
    Kepler: Moving the Earth.Ernan McMullin - 2011 - Hopos: The Journal of the International Society for the History of Philosophy of Science 1 (1):3-22.
    The discrepancy between the Aristotelian and the Ptolemaic astronomies led many medievals to regard the latter (and mathematical astronomy generally) as no more than a calculational device. This was the challenge that Copernicus and Kepler had to meet: How was one to show that a mathematically expressed astronomy could indicate that the earth really moves? Copernicus pointed to features of the planetary motions that he could explain but that Ptolemy could not. Kepler went much further. His account of the (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  24.  35
    Introduction.Ullrich Melle - 2007 - Ethical Perspectives 14 (4):361-370.
    IntroductionIn May 2006, the small group of doctoral students working on ecophilosophy at the Higher Institute of Philosophy at K.U.Leuven invited the Dutch environmental philosopher Martin Drenthen to a workshop to discuss his writings on the concept of wilderness, its metaphysical and moral meaning, and the challenge social constructivism poses for ecophilosophy and environmental protection. Drenthen’s publications on these topics had already been the subject of intense discussions in the months preceding the workshop. His presentation on the workshop and the (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  25. Meillassoux’s Virtual Future.Graham Harman - 2011 - Continent 1 (2):78-91.
    continent. 1.2 (2011): 78-91. This article consists of three parts. First, I will review the major themes of Quentin Meillassoux’s After Finitude . Since some of my readers will have read this book and others not, I will try to strike a balance between clear summary and fresh critique. Second, I discuss an unpublished book by Meillassoux unfamiliar to all readers of this article, except those scant few that may have gone digging in the microfilm archives of the École normale (...)
     
    Export citation  
     
    Bookmark   2 citations  
  26. The Stories we live by: Narrative in ethical enquiry with children.Grace Clare Robinson - 2014 - Childhood and Philosophy 10 (20):305-330.
    Many readers will be familiar with the power of stories to stimulate rich, ethically-focussed philosophical enquiry with communities of children and young people. This paper presents a view of the relationship between ethics and narrative that attempts to explain why this is the case. It is not an accident that moral matters are illuminated in stories, nor is the explanation for this fitness for purpose merely pragmatic, or a matter of convention. Narrative is at the heart of learning how to (...)
     
    Export citation  
     
    Bookmark   1 citation  
  27. Medieval Theories of Composition and Division. --.Georgette Sinkler - 1985 - University Microfilms International.
    The topic of my dissertation is the treatment of the fallacies of composition and division during the scholastic period , the compounded/divided sense distinction which grew out of that treatment, and the philosophical use to which the distinction was put. For instance, a recognition of these fallacies during the twelfth and thirteenth centuries helped theologians deal with certain problems having to do with foreknowledge and human freedom. In addition, a recognition of the distinction between the compounded and divided senses (...)
     
    Export citation  
     
    Bookmark   1 citation  
  28.  51
    Exploring the fruitfulness of diagrams in mathematics.Jessica Carter - 2019 - Synthese 196 (10):4011-4032.
    The paper asks whether diagrams in mathematics are particularly fruitful compared to other types of representations. In order to respond to this question a number of examples of propositions and their proofs are considered. In addition I use part of Peirce’s semiotics to characterise different types of signs used in mathematical reasoning, distinguishing between symbolic expressions and 2-dimensional diagrams. As a starting point I examine a proposal by Macbeth. Macbeth explains how it can be that objects “pop up”, e.g., (...)
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   10 citations  
  29.  6
    Why computational complexity may set impenetrable barriers for epistemic reductionism.Michael H. Herzog, Adrien Doerig & Christian Sachse - 2023 - Synthese 202 (5):1-13.
    According to physicalism, everything is physical or metaphysically connected to the physical. If physicalism were true, it seems that we should – in principle – be able to reduce the descriptions and explanations of special sciences to physical ones, for example, explaining biological regularities, via chemistry, by the laws of particle physics. The multiple realization of the property types of the special sciences is often seen to be an obstacle to such epistemic reductions. Here, we introduce another, new (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  30.  32
    On the Synthetic Aspect of Mathematics.G. J. Whitrow - 1950 - Philosophy 25 (95):326 - 330.
    In the most recent edition of Language, Truth and Logic , Professor A. J. Ayer still maintains that pure mathematics is analytic, being in fact merely a vast system of tautology. He is much more confident about this than are most contemporary professional mathematicians who have investigated the foundations of their subject. Following the breakdown of the efforts both of Frege and of Russell and Whitehead to derive pure mathematics from logic, i.e. to prove that the denial of any (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark  
  31. Even if it might not be true, evidence cannot be false.Clayton Littlejohn & Julien Dutant - 2021 - Philosophical Studies 179 (3):801-827.
    Wordly internalists claim that while internal duplicates always share the same evidence, our evidence includes non-trivial propositions about our environment. It follows that some evidence is false. Worldly internalism is thought to provide a more satisfying answer to scepticism than classical internalist views that deny that these propositions about our environment might belong to our evidence and to provide a generally more attractive account of rationality and reasons for belief. We argue that worldly internalism faces serious difficulties and that its (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  32.  14
    On Extending Mavrodes' Analysis of the Logic of Religious Belief.L. Hughes Cox - 1978 - Religious Studies 14 (1):99 - 111.
    No fruitful discussion of the logic of religious belief can afford to ignore George Mavrodes' classification of propositional concepts, i.e. concepts predicable of propositions singly or in sets , as an analytical tool for pinning down the ‘person-oriented’ and ‘content-oriented’ factors in such ‘epistemic activities’ as religious proving, experiencing, and verifying. Mavrodes shows in particular that the formal model of logical soundness, i.e. valid form and true premises, has but limited application to proving, experiencing, and verifying as ways of (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  33.  38
    Myths, bliks, and the social contract.John R. Carnes - 1970 - Journal of Value Inquiry 4 (2):105-118.
    One conclusion has already been reached, namely, the diagnosis of the problems of Rousseau's political thought. Again, this is not to say that Locke or Hobbes is correct and Rousseau incorrect, but only to observe that one cannot mix myths without getting into the deepest trouble. But there are several other observations of a more general nature that I want to make. First, the considerations introduced above are intended to point out something of the character of the language of political (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  34.  76
    A Journey Around the Cartesian Circle.Ewing Y. Chinn - 1983 - Philosophy Research Archives 9:279-292.
    According to many critics, Descartes argued in a circle when he presumed to base the certainty (and thus knowledge) of propositions that fulfill his epistemic criterion of being “clearly and distinctly perceived” on the demonstration that God exists and is not a deceiver. But his critics say, that demonstration, as he presented it, presupposed the validity of the same epistemic criterion. I critically examine two major strategies to dispel the appearance of circularity, two ways of interpreting Descartes’ argument.My approach (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  35.  61
    "Tractatus Logico-Philosophicus": A "Poem" by Ludwig Wittgenstein.David Rozema - 2002 - Journal of the History of Ideas 63 (2):345.
    In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 63.2 (2002) 345-363 [Access article in PDF] Tractatus Logico-Philosophicus: A "Poem" by Ludwig Wittgenstein David Rozema In the Fall term of 1911 the 22-year-old Ludwig Wittgenstein presented himself to the Cambridge philosopher of mathematics, Bertrand Russell, as a prospective student of philosophy. Wittgenstein had left off his studies as a promising young aeronautical engineer because, in the course of his engineering studies, he (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  36. Why and How to Fill an Unfilled Proposition.Samuel C. Rickless - 2011 - Theoria 78 (1):6-25.
    There are two major semantic theories of proper names: Semantic Descriptivism and Direct Reference. According to Semantic Descriptivism, the semantic content of a proper name N for a speaker S is identical to the semantic content of a definite description “the F” that the speaker associates with the name. According to Direct Reference, the semantic content of a proper name is identical to its referent. Semantic Descriptivism suffers from a number of drawbacks first pointed out by Donnellan (1970) and Kripke (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  37.  72
    Mathematical Explanations that are Not Proofs.Marc Lange - 2018 - Erkenntnis 83 (6):1285-1302.
    Explanation in mathematics has recently attracted increased attention from philosophers. The central issue is taken to be how to distinguish between two types of mathematical proofs: those that explain why what they prove is true and those that merely prove theorems without explaining why they are true. This way of framing the issue neglects the possibility of mathematical explanations that are not proofs at all. This paper addresses what it would take for a non-proof to (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  38.  23
    Aristotle on False Reasoning: Language and the World in the Sophistical Refutations (review). [REVIEW]Marina Berzins McCoy - 2005 - Philosophy and Rhetoric 38 (1):92-95.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Aristotle on False Reasoning: Language and the World in the Sophistical RefutationsMarina Berzins McCoyAristotle on False Reasoning: Language and the World in the Sophistical Refutations. Scott Schreiber. Albany: SUNY Press, 2003. pp. 240. $68.50, hardcover; $22.95, paperback.Scott Schreiber's Aristotle on False Reasoning is the first full-length English commentary on Aristotle's Sophistical Refutations in the last century. Aristotle's Sophistical Refutations is a text that has received relatively little attention (...)
    No categories
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  39. Expressivism and Explaining Irrationality: Reply to Baker.Sebastian Hengst - 2022 - Erkenntnis 87 (5):2503-2516.
    In a recent paper in this journal, Derek Baker (Erkenntnis 83(4):829–852, 2018) raises an objection to expressivism as it has been developed by Mark Schroeder (Being for, Oxford University Press, Oxford, 2008). Baker argues that Schroeder’s expressivist (1) is committed to certain sentences expressing rationally incoherent states of mind, and he objects (2) that the expressivist cannot explain why these states would be rationally incoherent. The aim of this paper is to show that Baker’s argument for (1) is (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  40. When the Inference 'p is true, therefore p' Fails: John Buridan on the Evaluation of Propositions.Ernesto Perini-Santos - 2013 - Vivarium 51 (1-4):411-424.
    For John Buridan, truth-bearers are assertions. This fact explains why the inference ‘p is true, therefore p’ may fail. On the one hand, the tense of the verb plus the time of utterance do not determine the time about which a sentence is intended to be true: the intention of the speaker is needed. On the other hand, since the meaning of vocal and written words is conventional, it may seem that they can be used with different meanings (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  41. Evidence for God from Certainty.Katherin A. Rogers - 2008 - Faith and Philosophy 25 (1):31-46.
    Human beings can have “strongly certain” beliefs—indubitable, veridical beliefs with a unique phenomenology—about necessarily true propositions like 2+2=4. On the plausible assumption that mathematical entities are platonic abstracta, naturalist theories fail to provide an adequate causal explanation for such beliefs because they cannot show how the propositional content of the causally inert abstracta can figure in a chain of physical causes. Theories which explain such beliefs as “corresponding” to the abstracta, but without any causal relationship, entail impossibilities. (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  42.  32
    Explaining Hope in Plato’s Philebus.Joseph Forte - 2016 - International Philosophical Quarterly 56 (3):283-295.
    My aim in this paper is to illustrate the significance of hope (elpis, elpizein) in Plato’s Philebus and to indicate topics under this heading that invite further investigation. Even though there is some scholarship treating the issue of hope in the Philebus, there is no study solely devoted to this topic. By providing such a study I intend to fill this lacuna and to show that examining this topic is valuable because it develops our understanding of the good life. In (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  43. Who's Afraid of Mathematical Diagrams?Silvia De Toffoli - 2023 - Philosophers' Imprint 23 (1).
    Mathematical diagrams are frequently used in contemporary mathematics. They are, however, widely seen as not contributing to the justificatory force of proofs: they are considered to be either mere illustrations or shorthand for non-diagrammatic expressions. Moreover, when they are used inferentially, they are seen as threatening the reliability of proofs. In this paper, I examine certain examples of diagrams that resist this type of dismissive characterization. By presenting two diagrammatic proofs, one from topology and one from algebra, I (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  44.  49
    Proofs, Reliable Processes, and Justification in Mathematics.Yacin Hamami - 2021 - British Journal for the Philosophy of Science 74 (4):1027-1045.
    Although there exist today a variety of non-deductive reliable processes able to determine the truth of certain mathematical propositions, proof remains the only form of justification accepted in mathematical practice. Some philosophers and mathematicians have contested this commonly accepted epistemic superiority of proof on the ground that mathematicians are fallible: when the deductive method is carried out by a fallible agent, then it comes with its own level of reliability, and so might happen to be equally or (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  45.  15
    Why Hope Cannot Be an Intellectual Virtue: Rationality of Hope Considered from an Analytic Perspective.Elżbieta Łukasiewicz - 2021 - Roczniki Filozoficzne 69 (2):5-37.
    There are two aims of the paper. The first is to critically analyse the claim that hope can be regarded as an intellectual virtue, as proposed by Nancy E. Snow in her recent account of hope set within the project of regulative epistemology. The second aim is to explore the problem of rationality of hope. Section one of the paper explains two different interpretations of the key notion of hope and discusses certain features to be found in hope-that and (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  46. Propositional epistemic luck, epistemic risk, and epistemic justification.Patrick Bondy & Duncan Pritchard - 2018 - Synthese 195 (9):3811-3820.
    If a subject has a true belief, and she has good evidence for it, and there’s no evidence against it, why should it matter if she doesn’t believe on the basis of the good available evidence? After all, properly based beliefs are no likelier to be true than their corresponding improperly based beliefs, as long as the subject possesses the same good evidence in both cases. And yet it clearly does matter. The aim of this paper is to (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  47.  15
    Forms of Mathematization (14th -17th Centuries).Sophie Roux - 2010 - Early Science and Medicine 15 (4-5):319-337.
    According to a grand narrative that long ago ceased to be told, there was a seventeenth century Scientific Revolution, during which a few heroes conquered nature thanks to mathematics. This grand narrative began with the exhibition of quantitative laws that these heroes, Galileo and Newton for example, had disclosed: the law of falling bodies, according to which the speed of a falling body is proportional to the square of the time that has elapsed since the beginning of its fall; the (...)
    Direct download  
     
    Export citation  
     
    Bookmark   13 citations  
  48. Why are the laws of nature so important to science?Marc Lange - 1999 - Philosophy and Phenomenological Research 59 (3):625-652.
    Why should science be so interested in discovering whether p is a law over and above whether p is true? The answer may involve the laws' relation to counterfactuals: p is a law iff p would still have obtained under any counterfactual supposition that is consistent with the laws. But unless we already understand why science is especially concerned with the laws, we cannot explain why science is especially interested in what would have happened under those counterfactual suppositions consistent (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  49. Why Neo was too confident that he had escaped the Matrix.Adam Elga - unknown
    According to a typical skeptical hypothesis, the evidence of your senses has been massively deceptive. Venerable skeptical hypotheses include the hypotheses that you have been deceived by a powerful evil demon, that you are now having an incredibly detailed dream, and that you are a brain in a vat. It is obviously reasonable for you now to be confident that neither of the above hypotheses is true. Epistemologists have proposed many stories to explain why that is reasonable. One theory (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  50.  15
    Why Are the Laws of Nature So Important to Science?Marc Lange - 1999 - Philosophy and Phenomenological Research 59 (3):625-652.
    Why should science be so interested in discovering whether p is a law over and above whether p is true? The answer may involve the laws’ relation to counterfactuals: p is a law iff p would still have obtained under any counterfactual supposition that is consistent with the laws. But unless we already understand why science is especially concerned with the laws, we cannot explain why science is especially interested in what would have happened under those counterfactual suppositions consistent (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   7 citations  
1 — 50 / 999