On the Algebra in Boole's Laws of Thought
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Universals : Studies in Indian Logic and Linguistics / J
UNIVERSALS Frits Staal UNIVERSALS Studies in Indian Logic and Linguistics The University of Chicago Press Chicago and London FRITS STAAL is professor of philosophy and South Asian languages at the University of California, Berkeley. THE UNIVERSITY OF CHICAGO PRESS, CHICAGO 60637 THE UNIVERSITY OF CHICAGO PRESS, LTD., LONDON © 1988 by Frits Staal All rights reserved. Published 1988 Printed in the United States of America 97 96 95 94 93 92 91 90 89 88 5 4 3 2 1 Library of Congress Cataloging in Publication Data Staal, Frits. Universals : studies in Indian logic and linguistics / J. Frits Staal. p. cm. Bibliography: p. Includes index. 1. Hindu logic. 2. Language and logic. 3. Universals (Philosophy) I. Title. BC25.S76 1988 87-23187 160'.954—dcl9 CIP ISBN 0-226-76999-2 (cloth); 0-226-77000-1 (paper) Contents Preface vii Introduction 1 1. Universals, Shadowy and Substantial 1 2. The Evidence from Indian Logic 12 3. The Evidence from Indian Linguistics 29 4. Seven Reviews 35 5. Conclusions 36 Bibliography 51 PART i INDIAN LOGIC 1. Correlations between Language and Logic in Indian Thought. 59 Bulletin of the School of Oriental and African Studies 23 (1960): 109-22 2. Formal Structures in Indian Logic. 73 Synthese: An International Quarterly for the Logical arid Psychological Study of the Foundations of Science 12 (1960): 279-86 3. Means of Formalization in Indian and Western Logic. 81 Proceedings of the XHth International Congress of Philosophy, Florence 10 (1960): 221-27 4. The Theory of Definition in Indian Logic. 88 Journal of the American Oriental Society 81 (1961): 122-26 5. -
Logic in Action: Wittgenstein's Logical Pragmatism and the Impotence of Scepticism
This is the final, pre-publication draft. Please cite only from published paper in Philosophical Investigations 26:2 (April 2003), 125-48. LOGIC IN ACTION: WITTGENSTEIN'S LOGICAL PRAGMATISM AND THE IMPOTENCE OF SCEPTICISM DANIÈLE MOYAL-SHARROCK UNIVERSITY OF GENEVA 1. The Many Faces of Certainty: Wittgenstein's Logical Pragmatism So I am trying to say something that sounds like pragmatism. (OC 422) In his struggle to uncover the nature of our basic beliefs, Wittgenstein depicts them variously in On Certainty: he thinks of them in propositional terms, in pictorial terms and in terms of acting. As propositions, they would be of a peculiar sort – a hybrid between a logical and an empirical proposition (OC 136, 309). These are the so-called 'hinge propositions' of On Certainty (OC 341). Wittgenstein also thinks of these beliefs as forming a picture, a World-picture – or Weltbild (OC 167). This is a step in the right (nonpropositional) direction, but not the ultimate step. Wittgenstein's ultimate and crucial depiction of our basic beliefs is in terms of a know-how, an attitude, a way of acting (OC 204). Here, he treads on pragmatist ground. But can Wittgenstein be labelled a pragmatist, having himself rejected the affiliation because of its utility implication? But you aren't a pragmatist? No. For I am not saying that a proposition is true if it is useful. (RPP I, 266) Wittgenstein resists affiliation with pragmatism because he does not want his use of use to be confused with the utility use of use. For him, it is not that a proposition is true if it is useful, but that use gives the proposition its sense. -
Logic Model Workbook
Logic Model Workbook INNOVATION NETWORK, INC. www.innonet.org • [email protected] Logic Model Workbook Table of Contents Page Introduction - How to Use this Workbook .....................................................................2 Before You Begin .................................................................................................................3 Developing a Logic Model .................................................................................................4 Purposes of a Logic Model ............................................................................................... 5 The Logic Model’s Role in Evaluation ............................................................................ 6 Logic Model Components – Step by Step ....................................................................... 6 Problem Statement: What problem does your program address? ......................... 6 Goal: What is the overall purpose of your program? .............................................. 7 Rationale and Assumptions: What are some implicit underlying dynamics? ....8 Resources: What do you have to work with? ......................................................... 9 Activities: What will you do with your resources? ................................................ 11 Outputs: What are the tangible products of your activities? ................................. 13 Outcomes: What changes do you expect to occur as a result of your work?.......... 14 Outcomes Chain ...................................................................................... -
Introduction to Philosophy. Social Studies--Language Arts: 6414.16. INSTITUTION Dade County Public Schools, Miami, Fla
DOCUMENT RESUME ED 086 604 SO 006 822 AUTHOR Norris, Jack A., Jr. TITLE Introduction to Philosophy. Social Studies--Language Arts: 6414.16. INSTITUTION Dade County Public Schools, Miami, Fla. PUB DATE 72 NOTE 20p.; Authorized Course of Instruction for the Quinmester Program EDRS PRICE MF-$0.65 HC-$3.29 DESCRIPTORS Course Objectives; Curriculum Guides; Grade 10; Grade 11; Grade 12; *Language Arts; Learnin4 Activities; *Logic; Non Western Civilization; *Philosophy; Resource Guides; Secondary Grades; *Social Studies; *Social Studies Units; Western Civilization IDENTIFIERS *Quinmester Program ABSTRACT Western and non - western philosophers and their ideas are introduced to 10th through 12th grade students in this general social studies Quinmester course designed to be used as a preparation for in-depth study of the various schools of philosophical thought. By acquainting students with the questions and categories of philosophy, a point of departure for further study is developed. Through suggested learning activities the meaning of philosopky is defined. The Socratic, deductive, inductive, intuitive and eclectic approaches to philosophical thought are examined, as are three general areas of philosophy, metaphysics, epistemology,and axiology. Logical reasoning is applied to major philosophical questions. This course is arranged, as are other quinmester courses, with sections on broad goals, course content, activities, and materials. A related document is ED 071 937.(KSM) FILMED FROM BEST AVAILABLE COPY U S DEPARTMENT EDUCATION OF HEALTH. NAT10N41 -
CONCEPT of UNIVERSAL PROPOSITION (UDHARANA) in NAYAYA PHILOSOPHY Mudasir Ahmad Tantray Lecturer at Dept
ANVESAK ISSN : 0378 – 4568 UGC Care Group 1 Journal CONCEPT OF UNIVERSAL PROPOSITION (UDHARANA) IN NAYAYA PHILOSOPHY Mudasir Ahmad Tantray Lecturer at Dept. of Philosophy, Govt. Boys College Sopore Email: [email protected] Tariq Rafeeq Khan Lecturer at Dept. of Philosophy, Govt. degree college Women’s Sopore Email: [email protected] ABSTRACT Universal proposition (Udharana) is also known as general proposition or categorical proposition. Universal proposition is defined as the proposition in which the relation between the subject term and the predicate term is without any condition, in which the predicate is either affirmed or denied of the subject unconditionally. In nyaya logic the term vyapti is a universal proposition or invariable relation between the middle term (linga/hetu) and the major term (sadya) . According to the category of relation propositions are divided into categorical and the conditional. Although proposition is a logical entity which is an assertion, either affirm or deny the subject. Truth and falsity are the values of proposition. Universal proposition is of two kinds: universal affirmative proposition and universal negative proposition while universality is the quantity of the subject and affirmation or negation is the quality of the proposition. Anumana (inference) is the knowledge of the objects which follows some other knowledge. In nyaya logic Inference is a combined deductive-inductive reasoning consisting of at least three categorical propositions and in it there are at least three propositions consisting of three terms, viz. the paksa or minor term about which we infer something, the sadhya or major term which inferred object, and the linga(probans) or sadana or middle which is invariably related to the major, and is present in the minor. -
Revised Syllabus for P.G. Courses in Philosophy
REVISED SYLLABUS FOR P.G. COURSES IN PHILOSOPHY COURSE NO. PHIL/P.G/1.1 Logic (Indian) 1. Nature of Indian Logic: the close relationship of logic, epistemology and metaphysics in the Indian tradition; primacy of logical reasoning in establishing one’ own system and refuting all rival systems; the concepts of ānvikṣikī and anumiti 2. Definition of Anumāna: Nyāya and Buddhist perspectives 3. Constituents of Anumāna: Nyāya and Buddhist perspectives 4. Process of Anumāna: Nyāya and Buddhist perspectives 5. Types of Anumāna: Nyāya and Buddhist perspectives 6. Nyāya: paķṣata, parāmarśa, definition of vyāpti 7. Inductive elements in Indian Logic: the concepts of vyāptigrahopāya, sāmānyalakṣaṇaprātyasatti, tarka, upādhi 8. Hetvābhāsa 9. Jňāniyapratibaddha-pratibandhakābhāva Suggestive Texts: Keśava Miśra: Tarkabhāṣā, ed. by Pandit Badarinath Shukla, Motilal Banarasidas Publishers Ltd., N. Delhi Dharmakīrti: Nyāyabindu, ed. by D. Malvania, Patna, 1971 Uddyotakara: Nyāyavārttika, ed. by M. M. Anantalal Thakur, ICPR Publication, N. Delhi Praśastapādabhāṣya, ed. By Ganganath Jha, Sapurnanda Sanskrit University, Benares Nyāyasūtra – Vātsayanabhāsya (select portions), ed. by MM Phanibhusan Tarkavagish, Rajya Pustak Parshad, WB Viśvanātha,Bhāṣāparichheda, ed. by Pandit Panchanan Shastri with commentary Muktavali- Samgraha, Sanskrita Pustak Bhandar Annambhatta,TarkasaṁgrahawithDipika, ed. by Pandit Panchanan Shastri, Sanskrita Pustak Bhandar (Bengali) Annambhatta,TarkasaṁgrahawithDipika, trans. by Prof. Gopinath Bhattacharya in English, Progressive Pub, 1976 Suggested Readings: S.S. Barlingay,A Modern Introduction to Indian Logic, National Publishing House, 1965 Gangadhar Kar,Tarkabhāsā Vol– I, 2nd ed. Jadavpur University Press, 2009 19 D.C. Guha,Navya Nyaya System of Logic, Motilal Banarsidass, 1979 Nandita Bandyopadhyay,The Concept of Logical Fallacies, Sanskrit Pustak Bhandar, 1977 B.K. Matilal,The Navya Nyaya Doctrine of Negation,Harvard University Press, 1968 B.K. -
Indian Philosophy Encyclopædia Britannica Article
Indian philosophy Encyclopædia Britannica Article Indian philosophy the systems of thought and reflection that were developed by the civilizations of the Indian subcontinent. They include both orthodox (astika) systems, namely, the Nyaya, Vaisesika, Samkhya, Yoga, Purva-mimamsa, and Vedanta schools of philosophy, and unorthodox (nastika) systems, such as Buddhism and Jainism. Indian thought has been concerned with various philosophical problems, significant among them the nature of the world (cosmology), the nature of reality (metaphysics), logic, the nature of knowledge (epistemology), ethics, and religion. General considerations Significance of Indian philosophies in the history of philosophy In relation to Western philosophical thought, Indian philosophy offers both surprising points of affinity and illuminating differences. The differences highlight certain fundamentally new questions that the Indian philosophers asked. The similarities reveal that, even when philosophers in India and the West were grappling with the same problems and sometimes even suggesting similar theories, Indian thinkers were advancing novel formulations and argumentations. Problems that the Indian philosophers raised for consideration, but that their Western counterparts never did, include such matters as the origin (utpatti) and apprehension (jñapti) of truth (pramanya). Problems that the Indian philosophers for the most part ignored but that helped shape Western philosophy include the question of whether knowledge arises from experience or from reason and distinctions such as that between analytic and synthetic judgments or between contingent and necessary truths. Indian thought, therefore, provides the historian of Western philosophy with a point of view that may supplement that gained from Western thought. A study of Indian thought, then, reveals certain inadequacies of Western philosophical thought and makes clear that some concepts and distinctions may not be as inevitable as they may otherwise seem. -
A Survey of Indian Logic from the Point of View of Computer Science
Sadhana, "Col. 19, Part 6, December 1994, pp 971-983. © Printed in India A survey of Indian logic from the point of view of computer science V V S SARMA Department of Computer Science & Automation, Indian Institute of Science, Bangalore 560012, India Abstract. Indian logic has a long history. It somewhat covers the domains of two of the six schools (darsanas) of Indian philosophy, namely, Nyaya and Vaisesika. The generally accepted definition of In- dian logic over the ages is the science which ascertains valid knowledge either by means of six senses or by means of the five members of the syllogism. In other words, perception and inference constitute the sub- ject matter of logic. The science of logic evolved in India through three ~ges: the ancient, the medieval and the modern, spanning almost thirty centuries. Advances in Computer Science, in particular, in Artificial Intelligence have got researchers in these areas interested in the basic problems of language, logic and cognition in the past three decades. In the 1980s, Artificial Intelligence has evolved into knowledge-based and intelligent system design, and the knowledge base and inference engine have become standard subsystems of an intelligent System. One of the important issues in the design of such systems is knowledge acquisition from humans who are experts in a branch of learning (such as medicine or law) and transferring that knowledge to a computing system. The second important issue in such systems is the validation of the knowl- edge base of the system i.e. ensuring that the knowledge is complete and consistent. -
George Boole?
iCompute For more fun computing lessons and resources visit: Who was George Boole? 8 He was an English mathematician 8 He believed that human thought could be George Boole written down as ‘rules’ 8 His ideas led to boolean logic which is Biography for children used by computers today The story of important figures in the history of computing George Boole (1815 – 1864) © iCompute 2015 www.icompute -uk.com iCompute Why is George Boole important? 8 He invented a set of rules for thinking that are used by computers today 8 The rules were that some statements can only ever be ‘true’ or ‘false’ 8 His idea was first used in computers as switches either being ‘on’ or ‘off’ 8 Today this logic is used in almost every device and almost every line of computer code His early years nd 8 Born 2 November 1815 8 His father was a struggling shoemaker 8 George had had very little education and taught himself maths, French, German and Latin © iCompute 2015 www.icompute -uk.com iCompute 8 He also taught himself Greek and published a translation of a Greek poem in 1828 at the age of 14! 8 Aged 16, the family business collapsed and George began working as a teacher to support the family 8 At 19 he started his own school 8 In 1840 he began having his books about mathematics published 8 In 1844, he was given the first gold medal for Mathematics by the Royal Society 8 Despite never having been to University himself, in 1849 he became professor of Mathematics at Queens College Cork in Ireland 8 He married Mary Everett in 1855 8 They had four daughters between 1956-1864 -
Brahma Sutra
BRAHMA SUTRA CHAPTER 1 1st Pada 1st Adikaranam to 11th Adhikaranam Sutra 1 to 31 INDEX S. No. Topic Pages Topic No Sutra No Summary 5 Introduction of Brahma Sutra 6 1 Jijnasa adhikaranam 1 a) Sutra 1 103 1 1 2 Janmady adhikaranam 2 a) Sutra 2 132 2 2 3 Sastrayonitv adhikaranam 3 a) Sutra 3 133 3 3 4 Samanvay adhikaranam 4 a) Sutra 4 204 4 4 5 Ikshatyadyadhikaranam: (Sutras 5-11) 5 a) Sutra 5 324 5 5 b) Sutra 6 353 5 6 c) Sutra 7 357 5 7 d) Sutra 8 362 5 8 e) Sutra 9 369 5 9 f) Sutra 10 372 5 10 g) Sutra 11 376 5 11 2 S. No. Topic Pages Topic No Sutra No 6 Anandamayadhikaranam: (Sutras 12-19) 6 a) Sutra 12 382 6 12 b) Sutra 13 394 6 13 c) Sutra 14 397 6 14 d) Sutra 15 407 6 15 e) Sutra 16 411 6 16 f) Sutra 17 414 6 17 g) Sutra 18 416 6 18 h) Sutra 19 425 6 19 7 Antaradhikaranam: (Sutras 20-21) 7 a) Sutra 20 436 7 20 b) Sutra 21 448 7 21 8 Akasadhikaranam : 8 a) Sutra 22 460 8 22 9 Pranadhikaranam : 9 a) Sutra 23 472 9 23 3 S. No. Topic Pages Topic No Sutra No 10 Jyotischaranadhikaranam : (Sutras 24-27) 10 a) Sutra 24 486 10 24 b) Sutra 25 508 10 25 c) Sutra 26 513 10 26 d) Sutra 27 517 10 27 11 Pratardanadhikaranam: (Sutras 28-31) 11 a) Sutra 28 526 11 28 b) Sutra 29 538 11 29 c) Sutra 30 546 11 30 d) Sutra 31 558 11 31 4 SUMMARY Brahma Sutra Bhasyam Topics - 191 Chapter – 1 Chapter – 2 Chapter – 3 Chapter – 4 Samanvaya – Avirodha – non – Sadhana – spiritual reconciliation through Phala – result contradiction practice proper interpretation Topics - 39 Topics - 47 Topics - 67 Topics 38 Sections Topics Sections Topics Sections Topics Sections Topics 1 11 1 13 1 06 1 14 2 07 2 08 2 08 2 11 3 13 3 17 3 36 3 06 4 08 4 09 4 17 4 07 5 Lecture – 01 Puja: • Gratitude to lord for completion of Upanishad course (last Chandogya Upanishad + Brihadaranyaka Upanishad). -
Objects Proposed for Protection Under Part 6 of the Tribunals, Courts and Enforcement Act 2007 (Protection of Cultural Objects on Loan)
Immunity from Seizure Objects proposed for protection under Part 6 of the Tribunals, Courts and Enforcement Act 2007 (protection of cultural objects on loan) Illuminating India: 5000 years of Science & Innovation. 3 October 2017 to 22 April 2018 Science Museum, Exhibition Road, London, SW7 2DD 1. c. Sir JC Bose Trust Object description: Crescograph developed by JC Bose to measure plant growth Date made: early 20th Century Inventory number: n/a Materials: Various metals and unknown wood Dimensions: c. 762mm x 457mm x 731mm Nationality of maker: Indian Lender’s name and address: Sir JC Bose Trust, Acharya Bhaban Science Heritage Museum, 93 Archarya Prafulla Chandra Road, Kolkata 700009, India Provenance: The object was built by JC Bose in the 1910s and, upon his death, passed into the ownership of the JC Bose Trust. The Trust have been in possession of this object since then. The object has a complete history of ownership from the beginning of the year 1933 to the end of the year 1945. 2. c. Sir JC Bose Trust Object description: Oscillating plate phytograph developed by JC Bose to present data on species performance by plants Title: Oscillating plate phytograph Date made: c. 1920 Inventory number: n/a Materials: various metals and unknown wood. Dimensions: 735mm x 365mm x 335mm Nationality of maker: Indian Lender’s name and address: Sir JC Bose Trust, Acharya Bhaban Science Heritage Museum, 93 Archarya Prafulla Chandra Road, Kolkata 700009, India Provenance: The object was built by JC Bose in the 1910s and, upon his death, passed into the ownership of the JC Bose Trust. -
Radhanath Sikdar First Scientist of Modern India Dr
R.N. 70269/98 Postal Registration No.: DL-SW-1/4082/12-14 ISSN : 0972-169X Date of posting: 26-27 of advance month Date of publication: 24 of advance month July 2013 Vol. 15 No. 10 Rs. 5.00 Maria Goeppert-Mayer The Second Woman Nobel Laureate in Physics Puzzles and paradoxes (1906-1972) Editorial: Some important facets 35 of Science Communications Maria Goeppert-Mayer: The 34 Second Woman Nobel Laureate in Physics Puzzles and paradoxes 31 Radhanath Sikdar: First 28 Scientist of Modern India Surgical Options for a Benign 25 Prostate Enlargement Recent developments 22 in science and technology VP News 19 Editorial Some important facets of Science Communications Dr. R. Gopichandran recent White Paper by Hampson (2012)1 presents an insightful forums for coming together including informal settings appear to Aanalysis of the process and impacts of science communication. help fulfil communication goals. These are also directly relevant The author indicates that the faith of the public in science is to informal yet conducive learning environment in rural areas modulated by the process and outcome of communicating science, of India and hence the opportunity to further strengthen such with significant importance attributed to understanding the needs interactions. and expectations from science by communities. Hampson also Bultitude (2011)3 presents an excellent overview of the highlights the need to improve communication through systematic “Why and how of Science Communication” with special reference and logical guidance to institutions to deliver appropriately. This to the motivation to cater to specific needs of the end users of deficit also negatively impacts engagement amongst stakeholders.