The Nature of Buddhist Logic
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The Liar Paradox As a Reductio Ad Absurdum Argument
University of Windsor Scholarship at UWindsor OSSA Conference Archive OSSA 3 May 15th, 9:00 AM - May 17th, 5:00 PM The Liar Paradox as a reductio ad absurdum argument Menashe Schwed Ashkelon Academic College Follow this and additional works at: https://scholar.uwindsor.ca/ossaarchive Part of the Philosophy Commons Schwed, Menashe, "The Liar Paradox as a reductio ad absurdum argument" (1999). OSSA Conference Archive. 48. https://scholar.uwindsor.ca/ossaarchive/OSSA3/papersandcommentaries/48 This Paper is brought to you for free and open access by the Conferences and Conference Proceedings at Scholarship at UWindsor. It has been accepted for inclusion in OSSA Conference Archive by an authorized conference organizer of Scholarship at UWindsor. For more information, please contact [email protected]. Title: The Liar Paradox as a Reductio ad Absurdum Author: Menashe Schwed Response to this paper by: Lawrence Powers (c)2000 Menashe Schwed 1. Introduction The paper discusses two seemingly separated topics: the origin and function of the Liar Paradox in ancient Greek philosophy and the Reduction ad absurdum mode of argumentation. Its goal is to show how the two topics fit together and why they are closely connected. The accepted tradition is that Eubulides of Miletos was the first to formulate the Liar Paradox correctly and that the paradox was part of the philosophical discussion of the Megarian School. Which version of the paradox was formulated by Eubulides is unknown, but according to some hints given by Aristotle and an incorrect version given by Cicero1, the version was probably as follows: The paradox is created from the Liar sentence ‘I am lying’. -
Bridging Worlds: Buddhist Women's Voices Across Generations
BRIDGING WORLDS Buddhist Women’s Voices Across Generations EDITED BY Karma Lekshe Tsomo First Edition: Yuan Chuan Press 2004 Second Edition: Sakyadhita 2018 Copyright © 2018 Karma Lekshe Tsomo All rights reserved No part of this book may not be reproduced or utilized in any form or by any means, electronic or mechanical, or by any information storage or retreival system, without the prior written permission from the publisher, except in the case of brief quotations. Cover Illustration, "Woman on Bridge" © 1982 Shig Hiu Wan. All rights reserved. "Buddha" calligraphy ©1978 Il Ta Sunim. All rights reserved. Chapter Illustrations © 2012 Dr. Helen H. Hu. All rights reserved. Book design and layout by Lillian Barnes Bridging Worlds Buddhist Women’s Voices Across Generations EDITED BY Karma Lekshe Tsomo 7th Sakyadhita International Conference on Buddhist Women With a Message from His Holiness the XIVth Dalai Lama SAKYADHITA | HONOLULU, HAWAI‘I iv | Bridging Worlds Contents | v CONTENTS MESSAGE His Holiness the XIVth Dalai Lama xi ACKNOWLEDGMENTS xiii INTRODUCTION 1 Karma Lekshe Tsomo UNDERSTANDING BUDDHIST WOMEN AROUND THE WORLD Thus Have I Heard: The Emerging Female Voice in Buddhism Tenzin Palmo 21 Sakyadhita: Empowering the Daughters of the Buddha Thea Mohr 27 Buddhist Women of Bhutan Tenzin Dadon (Sonam Wangmo) 43 Buddhist Laywomen of Nepal Nivedita Kumari Mishra 45 Himalayan Buddhist Nuns Pacha Lobzang Chhodon 59 Great Women Practitioners of Buddhadharma: Inspiration in Modern Times Sherab Sangmo 63 Buddhist Nuns of Vietnam Thich Nu Dien Van Hue 67 A Survey of the Bhikkhunī Saṅgha in Vietnam Thich Nu Dong Anh (Nguyen Thi Kim Loan) 71 Nuns of the Mendicant Tradition in Vietnam Thich Nu Tri Lien (Nguyen Thi Tuyet) 77 vi | Bridging Worlds UNDERSTANDING BUDDHIST WOMEN OF TAIWAN Buddhist Women in Taiwan Chuandao Shih 85 A Perspective on Buddhist Women in Taiwan Yikong Shi 91 The Inspiration ofVen. -
The Origins of Western Philosophy - the Pre-Socratics and Socrates
Humanities 1A Lindahl The Origins of Western Philosophy - the Pre-Socratics and Socrates On the very notion of the “beginning” of Western Philosophy - Myth and "wisdom" Philosophy: philein (love) + sophia (wisdom) Cosmology, Metaphysics Naturalistic philosophy - demythologizing cosmology Mythos & Logos – Wisdom sought through Reason Trend to reduce mythological and anthropomorphic explanations - Aletheia - "the naked truth" Factors: Leisure, Wealth, Trade, Democratic debate / Rhetoric, Writing Dialectic vs. Dogma The Pre-Socratics The "Ionian Revolution" – the idea of a basic stuff or “substance” (Metaphysics) Ionia, The Milesians - the beginning of philosophy (585 BCE) Thales (of Miletus) (640-546 BCE), metis, physis (in this case, water) Anaximander (of Miletus)(610-545 BCE), "On the Nature of Things," physis = Apeiron, Anaximines (of Miletus) (d.528 BCE), physis = air, naturalistic explanations Issues concerning Knowledge (Epistemology) and the problem of cultural relativism Xenophanes (of Colophon) (570-480 BCE), epistemology, relativism Heraclitus (of Ephesus) (535-470 BCE), fire, flux and logos, Rational cosmic order Pythagoras (of Croton) (571-497 BCE), Music of the spheres, “theorein,” a2+b2=c2 (of right triangles) The separation of “what Is” from “what Appears to be” The Eleatics Parmenides (of Elea) (515-450 BCE), truth and “Being” Zeno (of Elea) (490-430 BCE), Reductio ad absurdum, Zeno's paradoxes, Achilles and the Tortoise The Pluralists and Atomists Empedocles (of Acragas) (490-445 BCE), love and strife – earth, air, fire, -
University of Groningen Reductio Ad Absurdum from a Dialogical Perspective Dutilh Novaes, Catarina
University of Groningen Reductio ad absurdum from a dialogical perspective Dutilh Novaes, Catarina Published in: Philosophical Studies DOI: 10.1007/s11098-016-0667-6 IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document Version Publisher's PDF, also known as Version of record Publication date: 2016 Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Dutilh Novaes, C. (2016). Reductio ad absurdum from a dialogical perspective. Philosophical Studies, 173(10), 2605-2628. DOI: 10.1007/s11098-016-0667-6 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons). Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. Download date: 11-02-2018 Philos Stud (2016) 173:2605–2628 DOI 10.1007/s11098-016-0667-6 Reductio ad absurdum from a dialogical perspective Catarina Dutilh Novaes1 Published online: 8 April 2016 Ó The Author(s) 2016. This article is published with open access at Springerlink.com Abstract It is well known that reductio ad absurdum arguments raise a number of interesting philosophical questions. -
ATINER's Conference Paper Series PHI2013-0531 Al-Kindi's and W. L
ATINER CONFERENCE PAPER SERIES No: PHI2013-0531 -Athens Institute for Education and Research ATINER ATINER's Conference Paper Series PHI2013-0531 Al-Kindi's and W. L. Craig's Cosmological Arguments Drago Djuric Associated Professor Department of Philosophy, Faculty of Philosophy, University of Belgrade Serbia 1 ATINER CONFERENCE PAPER SERIES No: PHI2013-0531 Athens Institute for Education and Research 8 Valaoritou Street, Kolonaki, 10671 Athens, Greece Tel: + 30 210 3634210 Fax: + 30 210 3634209 Email: [email protected] URL: www.atiner.gr URL Conference Papers Series: www.atiner.gr/papers.htm Printed in Athens, Greece by the Athens Institute for Education and Research. All rights reserved. Reproduction is allowed for non-commercial purposes if the source is fully acknowledged. ISSN 2241-2891 17/09/2013 2 ATINER CONFERENCE PAPER SERIES No: PHI2013-0531 An Introduction to ATINER's Conference Paper Series ATINER started to publish this conference papers series in 2012. It includes only the papers submitted for publication after they were presented at one of the conferences organized by our Institute every year. The papers published in the series have not been refereed and are published as they were submitted by the author. The series serves two purposes. First, we want to disseminate the information as fast as possible. Second, by doing so, the authors can receive comments useful to revise their papers before they are considered for publication in one of ATINER's books, following our standard procedures of a blind review. Dr. Gregory T. Papanikos President Athens Institute for Education and Research 3 ATINER CONFERENCE PAPER SERIES No: PHI2013-0531 This paper should be cited as follows: Djuric, D. -
The Peripatetic Program in Categorical Logic: Leibniz on Propositional Terms
THE REVIEW OF SYMBOLIC LOGIC, Page 1 of 65 THE PERIPATETIC PROGRAM IN CATEGORICAL LOGIC: LEIBNIZ ON PROPOSITIONAL TERMS MARKO MALINK Department of Philosophy, New York University and ANUBAV VASUDEVAN Department of Philosophy, University of Chicago Abstract. Greek antiquity saw the development of two distinct systems of logic: Aristotle’s theory of the categorical syllogism and the Stoic theory of the hypothetical syllogism. Some ancient logicians argued that hypothetical syllogistic is more fundamental than categorical syllogistic on the grounds that the latter relies on modes of propositional reasoning such as reductio ad absurdum. Peripatetic logicians, by contrast, sought to establish the priority of categorical over hypothetical syllogistic by reducing various modes of propositional reasoning to categorical form. In the 17th century, this Peripatetic program of reducing hypothetical to categorical logic was championed by Gottfried Wilhelm Leibniz. In an essay titled Specimina calculi rationalis, Leibniz develops a theory of propositional terms that allows him to derive the rule of reductio ad absurdum in a purely categor- ical calculus in which every proposition is of the form AisB. We reconstruct Leibniz’s categorical calculus and show that it is strong enough to establish not only the rule of reductio ad absurdum,but all the laws of classical propositional logic. Moreover, we show that the propositional logic generated by the nonmonotonic variant of Leibniz’s categorical calculus is a natural system of relevance logic ¬ known as RMI→ . From its beginnings in antiquity up until the late 19th century, the study of formal logic was shaped by two distinct approaches to the subject. The first approach was primarily concerned with simple propositions expressing predicative relations between terms. -
The History of Logic
c Peter King & Stewart Shapiro, The Oxford Companion to Philosophy (OUP 1995), 496–500. THE HISTORY OF LOGIC Aristotle was the first thinker to devise a logical system. He drew upon the emphasis on universal definition found in Socrates, the use of reductio ad absurdum in Zeno of Elea, claims about propositional structure and nega- tion in Parmenides and Plato, and the body of argumentative techniques found in legal reasoning and geometrical proof. Yet the theory presented in Aristotle’s five treatises known as the Organon—the Categories, the De interpretatione, the Prior Analytics, the Posterior Analytics, and the Sophistical Refutations—goes far beyond any of these. Aristotle holds that a proposition is a complex involving two terms, a subject and a predicate, each of which is represented grammatically with a noun. The logical form of a proposition is determined by its quantity (uni- versal or particular) and by its quality (affirmative or negative). Aristotle investigates the relation between two propositions containing the same terms in his theories of opposition and conversion. The former describes relations of contradictoriness and contrariety, the latter equipollences and entailments. The analysis of logical form, opposition, and conversion are combined in syllogistic, Aristotle’s greatest invention in logic. A syllogism consists of three propositions. The first two, the premisses, share exactly one term, and they logically entail the third proposition, the conclusion, which contains the two non-shared terms of the premisses. The term common to the two premisses may occur as subject in one and predicate in the other (called the ‘first figure’), predicate in both (‘second figure’), or subject in both (‘third figure’). -
Defining and Redefining Svalaksana: Dharmakirti's Concept and Its Tibetan Modification
Defining and Redefining Svalaksana: Dharmakirti's Concept and its Tibetan Modification 著者 Yoshimizu Chizuko journal or Three mountains and seven rivers : Prof. publication title Musashi Tachikawa's felicitation volume page range 117-133 year 2004 URL http://hdl.handle.net/2241/103850 Chapter 8 Defining and Redefining Svalaksana: Dharmakirti's Concept and its Tibetan Modification CHIZUKO YOSHIMIZU Recent contributions to the Tibetan development of Buddhist philosophical systems have attracted considerable attention, not only because of their significant results but also because of their methodological consciousness that any intellectual tradition must be examined in light of its historicaland cultural circumstances. Continuity and discontinuity of thought as well as the character- istics of Tibetan interpretations firstbecome clear through a thorough investigation of both Indian and Tibetan traditions, and yet the significance of individual thought is finally to be considered in its contemporary context. In this respect, the latest studies of the Tibetan development of Dharmakirti's (7c.) epistemology were most successful in indicating the consistency and inconsistency of Tibetan interpretations with Dharmakirti's original ideas.1 Special attention has been paid to the originality of dGe lugs pa thinkers. They indeed made several theoretical modifications to, reinterpretations and reevaluations of Indian original thought, especially with regard to logicoepistemological 118 THREE MOUNTAINS AND SEVEN RIVERS DEFINING AND REDEFINING SVALAKS, .19 issues in both major fields of Buddhist philosophy, viz., the identifying it with that which has causal efficacy (arthakriydsdmarthya, Madhyamaka system and that of Dharmakirti.2 In order to gain a arthakriydsakti. don byed nus pa), that is, an ability to produce an clear picture of the dGe lugs pa position on these Buddhist effect. -
Dharmakirti, Davidson, and Knowing Reality
Comparative Philosophy Volume 3, No. 1 (2012): 30-57 Open Access / ISSN 2151-6014 www.comparativephilosophy.org DHARMAKĪRTI, DAVIDSON, AND KNOWING REALITY LAJOS L. BRONS ABSTRACT: If we distinguish phenomenal effects from their noumenal causes, the former being our conceptual(ized) experiences, the latter their grounds or causes in reality ‘as it is’ independent of our experience, then two contradictory positions with regards to the relationship between these two can be distinguished: either phenomena are identical with their noumenal causes, or they are not. Davidson is among the most influential modern defenders of the former position, metaphysical non-dualism. Dharmakīrti’s strict distinction between ultimate and conventional reality, on the other hand, may be one of the most rigorously elaborated theories of the opposite position, metaphysical dualism. Despite this fundamental difference, their theories about the connection between phenomena and their noumenal causes are surprisingly similar in important respects. Both Dharmakīrti in his theory of ‘apoha’ and Davidson in his theory of ‘triangulation’ argued that the content of words or concepts depends on a process involving at least two communicating beings and shared noumenal stimuli. The main point of divergence is the nature of classification, but ultimately Dharmakīrti’s and Davidson’s conclusions on the noumenal-phenomenal relationship turn out to be complementary more than contradictory, and an integrative reconstruction suggests a ‘middle path’ between dualism and non-dualism. Keywords: Dharmakīrti, Donald Davidson, apoha, triangulation, reality, meta-ontology, subjectivity, metaphysical dualism 1. INTRODUCTION What can we know about reality? If two communicating beings are both aware of a certain black queen chess piece as evidenced by their reference(s) to that black queen chess piece in their communication, does that imply that there ‘really’ is (something that is) that black queen chess piece? At least there must be something causing the shared awareness. -
Reductio Ad Absurdum from a Dialogical Perspective Dutilh Novaes, Catarina
University of Groningen Reductio ad absurdum from a dialogical perspective Dutilh Novaes, Catarina Published in: Philosophical Studies DOI: 10.1007/s11098-016-0667-6 IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document Version Publisher's PDF, also known as Version of record Publication date: 2016 Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Dutilh Novaes, C. (2016). Reductio ad absurdum from a dialogical perspective. Philosophical Studies, 173(10), 2605-2628. https://doi.org/10.1007/s11098-016-0667-6 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons). Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. Download date: 25-09-2021 Philos Stud (2016) 173:2605–2628 DOI 10.1007/s11098-016-0667-6 Reductio ad absurdum from a dialogical perspective Catarina Dutilh Novaes1 Published online: 8 April 2016 Ó The Author(s) 2016. This article is published with open access at Springerlink.com Abstract It is well known that reductio ad absurdum arguments raise a number of interesting philosophical questions. -
Candrakīrti on Dignāga on Svalakṣaṇas
JIABS Journal of the International Association of Buddhist Studies Volume 26 Number 1 2003 In Memoriam Professor Akira HIRAKAWA by Kotabo FUJIJA............................................................................... 3 Paul M. HARRISON Relying on the Dharma and not the Person: Reflection on authority and Transmission in Buddhism and Buddhist Studies ..................... 9 Colette CAILLAT Gleanings from a Comparative Reading of Early Canonical Buddhist and Jaina Texts ................................................................................. 25 Robert H. SHARF Thinking through Shingon Ritual ..................................................... 51 Giulio AGOSTINI On the Nikaya Affiliation of the Srighanacarasangraha and the Sphu†artha Srighanacarasangraha†ika............................................. 97 Mario D'AMATO Can all Beings Potentially Attain Awakening? Gotra-theory in the Mahayanasutralaµkara ................................... 115 Dan ARNOLD Candrakirti on Dignaga on SvalakÒa∞as ......................................... 139 Carmen MEINERT Structural Analysis of the bSam gtan mig sgron. A Comparison of the Fourfold Correct Practice in the Aryavikalpapravesanamadhara∞i and the Contents of the four Main Chapters of the bSam gtan mig sgron 175 Notes on the Contributors................................................................. 197 CANDRAKIRTI ON DIGNAGA ON SVALAK∑AıAS DAN ARNOLD I. Introduction Since the publication of Th. Stcherbatsky’s Buddhist Logic in 1932, many scholars have followed the great Russian -
Karl Popper and the Philosophy of Mathematics Proceedings of the Conference Held in Klagenfurt, 5 – 7 April, 2018
Symposium Karl Popper and the Philosophy of Mathematics Proceedings of the Conference held in Klagenfurt, 5 – 7 April, 2018 Edited by Reinhard Neck Alpen-Adria-Universität Klagenfurt 2018 Contents Preface ................................................................................................................ v Programme ...................................................................................................... vii Abstracts and Preliminary Papers .................................................................. 1 Schroeder-Heister, Peter Popper on deductive logic and logical education ...................................................... 2 Binder, David A Critical Edition of Popper's Work on Logic .......................................................... 3 Brîncuş, Constantin and Toader, Iulian Non-normal Interpretations of Positive Logic .......................................................... 8 Pimbé, Daniel Popper and “absolute proofs” ................................................................................. 12 Albert, Max Critical Rationalism and Decision Theory .............................................................. 25 Del Santo, Flavio The physical motivations for a propensity interpretation of probability ................. 26 Afisi, Oseni Taiwo Prospensity Probability and Its Applications of Knowledge in Ifa ......................... 32 Miller, David Independence (Probabilistic) and Independence (Logical) ..................................... 36 Burgoyne, Bernard From cosmic paths to psychic