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  1. Mereology.Ben Blumson - 2021 - Archive of Formal Proofs.
    The interactive theorem prover Isabelle/HOL is used to verify elementary theorems of classical extensional mereology.
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  • Automating Leibniz’s Theory of Concepts.Paul Edward Oppenheimer, Jesse Alama & Edward N. Zalta - 2015 - In Felty Amy P. & Middeldorp Aart (eds.), Automated Deduction – CADE 25: Proceedings of the 25th International Conference on Automated Deduction (Lecture Notes in Artificial Intelligence: Volume 9195), Berlin: Springer. Springer. pp. 73-97.
    Our computational metaphysics group describes its use of automated reasoning tools to study Leibniz’s theory of concepts. We start with a reconstruction of Leibniz’s theory within the theory of abstract objects (henceforth ‘object theory’). Leibniz’s theory of concepts, under this reconstruction, has a non-modal algebra of concepts, a concept-containment theory of truth, and a modal metaphysics of complete individual concepts. We show how the object-theoretic reconstruction of these components of Leibniz’s theory can be represented for investigation by means of automated (...)
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  • The Historiography of Philosophy: Four Genres.Richard Rorty - 1984 - In . Cambridge University Press.
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  • (2 other versions)Principia mathematica.A. N. Whitehead & B. Russell - 1910-1913 - Revue de Métaphysique et de Morale 19 (2):19-19.
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  • The Principle of Generic Consistency as the Supreme Principle of Human Rights.Deryck Beyleveld - 2012 - Human Rights Review 13 (1):1-18.
    Alan Gewirth’s claim that agents contradict that they are agents if they do not accept that the principle of generic consistency (PGC) is the supreme principle of practical rationality has been greeted with widespread scepticism. The aim of this article is not to defend this claim but to show that if the first and least controversial of the three stages of Gewirth’s argument for the PGC is sound, then agents must interpret and give effect to human rights in ways consistent (...)
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  • Radical Interpretation.Donald Davidson - 1973 - Dialectica 27 (1):313-328.
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  • Steps Toward a Computational Metaphysics.Branden Fitelson & Edward N. Zalta - 2007 - Journal of Philosophical Logic 36 (2):227-247.
    In this paper, the authors describe their initial investigations in computational metaphysics. Our method is to implement axiomatic metaphysics in an automated reasoning system. In this paper, we describe what we have discovered when the theory of abstract objects is implemented in PROVER9 (a first-order automated reasoning system which is the successor to OTTER). After reviewing the second-order, axiomatic theory of abstract objects, we show (1) how to represent a fragment of that theory in PROVER9's first-order syntax, and (2) how (...)
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  • Voevodsky’s Univalence Axiom in Homotopy Type Theory.Steve Awodey, Alvaro Pelayo & Michael A. Warren - unknown
    In this short note we give a glimpse of homotopy type theory, a new field of mathematics at the intersection of algebraic topology and mathematical logic, and we explain Vladimir Voevodsky’s univalent interpretation of it. This interpretation has given rise to the univalent foundations program, which is the topic of the current special year at the Institute for Advanced Study.
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  • Introduction.Sandra Lapointe - 2012 - Grazer Philosophische Studien 85 (1):1-10.
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  • Computational Meta-Ethics: Towards the Meta-Ethical Robot.Gert-Jan C. Lokhorst - 2011 - Minds and Machines 21 (2):261-274.
    It has been argued that ethically correct robots should be able to reason about right and wrong. In order to do so, they must have a set of do’s and don’ts at their disposal. However, such a list may be inconsistent, incomplete or otherwise unsatisfactory, depending on the reasoning principles that one employs. For this reason, it might be desirable if robots were to some extent able to reason about their own reasoning—in other words, if they had some meta-ethical capacities. (...)
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  • Inductive Logic.James Hawthorne - 2011 - The Stanford Encyclopedia of Philosophy.
    Sections 1 through 3 present all of the main ideas behind the probabilistic logic of evidential support. For most readers these three sections will suffice to provide an adequate understanding of the subject. Those readers who want to know more about how the logic applies when the implications of hypotheses about evidence claims (called likelihoods) are vague or imprecise may, after reading sections 1-3, skip to section 6. Sections 4 and 5 are for the more advanced reader who wants a (...)
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  • Aristotle's Logic.Robin Smith - 2007 - Stanford Encyclopedia of Philosophy.
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  • Reason and morality.Alan Gewirth - 1978 - Chicago: University of Chicago Press.
    "Most modern philosophers attempt to solve the problem of morality from within the epistemological assumptions that define the dominant cultural perspective of our age. Alan Gewirth's Reason and Morality is a major work in this ongoing enterprise. Gewirth develops, with patience and skill, what he calls a 'modified naturalism' in which morality is derived by logic alone from the concept of action.... I think that the publication of Reason and Morality is a major event in the history of moral philosophy. (...)
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  • The traditional square of opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.
    This entry traces the historical development of the Square of Opposition, a collection of logical relationships traditionally embodied in a square diagram. This body of doctrine provided a foundation for work in logic for over two millenia. For most of this history, logicians assumed that negative particular propositions ("Some S is not P") are vacuously true if their subjects are empty. This validates the logical laws embodied in the diagram, and preserves the doctrine against modern criticisms. Certain additional principles ("contraposition" (...)
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  • Against computational hermeneutics.Stevan Harnad - 1990 - Social Epistemology 4:167-172.
    Critique of Computationalism as merely projecting hermeneutics (i.e., meaning originating from the mind of an external interpreter) onto otherwise intrinsically meaningless symbols.
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  • The Propositional Logic of Principia Mathematica and Some of Its Forerunners.Daniel J. O'Leary - 1988 - Russell: The Journal of Bertrand Russell Studies 8 (1).
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  • (1 other version)Compositionality.Zoltán Gendler Szabó - 2008 - Stanford Encyclopedia of Philosophy.
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  • Computer Science and Metaphysics: A Cross-Fertilization.Edward N. Zalta, Christoph Benzmüller & Daniel Kirchner - 2019 - Open Philosophy 2 (1):230-251.
    Computational philosophy is the use of mechanized computational techniques to unearth philosophical insights that are either difficult or impossible to find using traditional philosophical methods. Computational metaphysics is computational philosophy with a focus on metaphysics. In this paper, we (a) develop results in modal metaphysics whose discovery was computer assisted, and (b) conclude that these results work not only to the obvious benefit of philosophy but also, less obviously, to the benefit of computer science, since the new computational techniques that (...)
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  • Formalisation and Evaluation of Alan Gewirth's Proof for the Principle of Generic Consistency in Isabelle/HOL.David Fuenmayor & Christoph Benzmüller - unknown
    An ambitious ethical theory ---Alan Gewirth's "Principle of Generic Consistency"--- is encoded and analysed in Isabelle/HOL. Gewirth's theory has stirred much attention in philosophy and ethics and has been proposed as a potential means to bound the impact of artificial general intelligence.
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  • The Dialectical Necessity of Morality: An Analysis and Defense of Alan Gewirth's Argument to the Principle of Generic Consistency.Deryck Beyleveld - 1991 - Chicago: University of Chicago Press.
    Alan Gewirth's _Reason and Morality_, in which he set forth the Principle of Generic Consistency, is a major work of modern ethical theory that, though much debated and highly respected, has yet to gain full acceptance. Deryck Beyleveld contends that this resistance stems from misunderstanding of the method and logical operations of Gewirth's central argument. In this book Beyleveld seeks to remedy this deficiency. His rigorous reconstruction of Gewirth's argument gives its various parts their most compelling formulation and clarifies its (...)
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  • Ancient Self-Refutation: The Logic and History of the Self-Refutation Argument From Democritus to Augustine.Luca Castagnoli - 2010 - New York: Cambridge University Press.
    A 'self-refutation argument' is any argument which aims at showing that a certain thesis is self-refuting. This study was the first book-length treatment of ancient self-refutation and provides a unified account of what is distinctive in the ancient approach to the self-refutation argument, on the basis of close philological, logical and historical analysis of a variety of sources. It examines the logic, force and prospects of this original style of argumentation within the context of ancient philosophical debates, dispelling various misconceptions (...)
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  • (1 other version)Figures of Thought: Mathematics and Mathematical Texts.David Reed - 1994 - New York: Routledge.
    Rarely has the history or philosophy of mathematics been written about by mathematicians, and the analysis of mathematical texts themselves has been an area almost entirely unexplored. _Figures of Thought_ looks at ways in which mathematical works can be read as texts, examines their textual strategies and demonstrates that such readings provide a rich source of philosophical issues regarding mathematics: issues which traditional approaches to the history and philosophy of mathematics have neglected. David Reed, a professional mathematician himself, offers the (...)
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  • Toward a computational hermeneutics.Ronald L. Breiger, Robin Wagner-Pacifici & John W. Mohr - 2015 - Big Data and Society 2 (2).
    We describe some of the ways that the field of content analysis is being transformed in an Era of Big Data. We argue that content analysis, from its beginning, has been concerned with extracting the main meanings of a text and mapping those meanings onto the space of a textual corpus. In contrast, we suggest that the emergence of new styles of text mining tools is creating an opportunity to develop a different kind of content analysis that we describe as (...)
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  • Mechanizing principia logico-metaphysica in functional type theory.Daniel Kirchner, Christoph Benzmüller & Edward N. Zalta - 2019 - Review of Symbolic Logic:1-13.
    Principia Logico-Metaphysica contains a foundational logical theory for metaphysics, mathematics, and the sciences. It includes a canonical development of Abstract Object Theory [AOT], a metaphysical theory that distinguishes between ordinary and abstract objects. This article reports on recent work in which AOT has been successfully represented and partly automated in the proof assistant system Isabelle/HOL. Initial experiments within this framework reveal a crucial but overlooked fact: a deeply-rooted and known paradox is reintroduced in AOT when the logic of complex terms (...)
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  • (2 other versions)Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Annalen der Philosophie Und Philosophischen Kritik 2 (1):73-75.
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  • (1 other version)Analytic philosophy and history of philosophy : the development of the idea of rational reconstruction.Michael Beaney - 2013 - In Erich H. Reck (ed.), The Historical turn in Analytic Philosophy. New York, NY: Palgrave-Macmillan.
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  • A Computational-Hermeneutic Approach for Conceptual Explicitation.Christoph Benzmüller & David Fuenmayor - 2019 - In Matthieu Fontaine, Cristina Barés-Gómez, Francisco Salguero-Lamillar, Lorenzo Magnani & Ángel Nepomuceno-Fernández (eds.), Model-Based Reasoning in Science and Technology: Inferential Models for Logic, Language, Cognition and Computation. Springer Verlag.
    We present a computer-supported approach for the logical analysis and conceptual explicitation of argumentative discourse. Computational hermeneutics harnesses recent progresses in automated reasoning for higher-order logics and aims at formalizing natural-language argumentative discourse using flexible combinations of expressive non-classical logics. In doing so, it allows us to render explicit the tacit conceptualizations implicit in argumentative discursive practices. Our approach operates on networks of structured arguments and is iterative and two-layered. At one layer we search for logically correct formalizations for each (...)
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  • (1 other version)Figures of thought: mathematics and mathematical texts.David Reed - 1995 - New York: Routledge.
    Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes to Hilbert, (...)
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  • Radical interpretation interpreted.Donald Davidson - 1994 - Philosophical Perspectives 8:121-128.
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  • Mechanizing principia logico-metaphysica in functional type-theory.Daniel Kirchner, Christoph Benzmüller & Edward N. Zalta - 2018 - Review of Symbolic Logic 13 (1):206-218.
    Principia Logico-Metaphysica contains a foundational logical theory for metaphysics, mathematics, and the sciences. It includes a canonical development of Abstract Object Theory [AOT], a metaphysical theory that distinguishes between ordinary and abstract objects.This article reports on recent work in which AOT has been successfully represented and partly automated in the proof assistant system Isabelle/HOL. Initial experiments within this framework reveal a crucial but overlooked fact: a deeply-rooted and known paradox is reintroduced in AOT when the logic of complex terms is (...)
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  • (1 other version)Reason and Morality.Alan Gewirth - 1968 - Philosophy 56 (216):266-267.
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  • What is the good of philosophical history?Michael Kremer - 2013 - In Erich H. Reck (ed.), The Historical turn in Analytic Philosophy. New York, NY: Palgrave-Macmillan.
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  • Principia Mathematica.Morris R. Cohen - 1912 - Philosophical Review 21 (1):87.
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  • Sophist: Or the Professor of Wisdom.Eva Plato, Peter Brann, Eric Kalkavage & Salem - 1996 - Focus.
    This is an English translation of Plato presenting a new conception of the Theory of Forms. Socrates and others discuss the epistemological and metaphysical puzzles of the Parmenides, with aims to define the meaning of the Sophist. The glossary of key terms is a unique addition to Platonic literature by which concepts central to each dialogue are discussed and cross-referenced as to their occurrences throughout the work. In such a way students are encouraged to see beyond the words into concepts. (...)
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  • Digitized and Digitalized Humanities: Words and Identity.Claire Clivaz - unknown
    English. This paper analyses two closely related but different concepts, digitization and digitalization, first discussed in an encyclopedia article by Brennen and Kreiss in 2016. Digital Humanities mainly uses the first term, whereas business and economics tend to use the second to praise the process of the digitalization of society. But digitalization was coined as a critical concept in 1971 by Wachal and is sometimes used in post-colonial studies. Consequently, humanist scholars are invited to avoid the "path of least resistance" (...)
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  • (1 other version)Reason and Morality.Alan Gewirth - 1968 - Revue Philosophique de la France Et de l'Etranger 170 (4):444-445.
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  • The propositional logic of "Principia Mathematica" and some of its forerunners.Daniel J. O' Leary - 1988 - Russell: The Journal of Bertrand Russell Studies 8 (1):92.
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