Swami Ramanand Teerth Marathwada University, Nanded

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Swami Ramanand Teerth Marathwada University, Nanded Bachelor of Arts Faculty of Social Sciences LOGIC Syllabus of B.A. Third Year (Yearly Pattern) With Effect from June 2010 1

LOGIC & METHODOLOGY OF SCIENCE Syllabus B.A. Third Year With effect from June 2010 Sr.No. Paper No. Tile of the Paper External Marks Internal Marks 01 V Advanced Modern Logic 80 20 02 VI Methodology of Nature 80 20 and Social Sciences 03 VII Indian Logic 80 20 Note: 80 Marks for external assessment and 20 marks for internal assement. 2

B.A. Third Year LOGIC Syllabus With Effect from June 2010 Paper IV Methodology of Nature and Social Sciences 80 Marks 1) Conception of Science as a rational enquiry a) Nature of empirical science b) Characteristics of empirical science: Testable, Objective, systematic and Quantifiable. c) Classification of Sciences. i) Natural ad social sciences ii) Descriptive and normative iii) Empirical and formal iv) Pure and applied. d) Goals of empirical science: Explanation, Prediction and control. 2) Scientific Method a) Meaning and Definition of scientific method. b) Characterisitics of scientific method: Objectivity, Reliability, Validity, Verifiability, Definiteness Generality and Predictability. c) Application of Scientific method in natural and social sciences. d) Stages of scientific research: Formulation of Problem, formation of Hypothesis, Research design, Collection of data, classification and analysis of data, Generalisation and report. 3) Laws and Explanation a) Various uses of the expression Law b) Nature and classification of laws of nature. c) Types of secondary laws. 3

d) Nature and types of explanation. e) Distinction between popular and scientific explanation. f) Goal of science: Explanation or description. 4) Introductory Issues in Social Sciences a) Nature and subject matter of social sciences. b) Distinction between natural and social sciences. c) Logical structure of social science. d) Objectives: Understanding and explanation, Laws and theories. e) Basic concepts and approaches: Event and action, Human action and social action. 5) Methods of data Collection in Social Science Research a) Observation: Participant and non participant b) Questionnaire schedule c) Interview method 6) Method of Sampling Technique a) Meaning and definition of sampling. b) Characteristics of Sampling technique. c) Merits and demerits of sampling procedure. d) Various types of sampling. e) Use of sampling procedure in social research. f) Problems in sampling technique. 7) Method of Social Survey a) Meaning and nature of social survey. b) Characteristics of social survey c) Types of social survey d) Merits and demerits of social survey 8) Some issues in social sciences a) Nature of laws in social science b) Problems of objectivity in social science. 4

c) Values and value commitment in social science d) Unit of method thesis. e) Importance of computer in social research. BOOKS FOR READING AND REFERENCE English 1. Introduction to Logic: I.M. Copi and Cotten. 2. Modern introduction to Logic: L.S. Stebbing. 3. Text book of Logic: A.Wolf. 4. Introduction to Logc and Scientific Method: Cotton and Nagel. 5. The structure of science: Ernst Nagel. 6. Philosophy of Science: Carl Hempel. 7. Introduction to Philosophy of science: R. Carnap. 8. Structure of social Science: M. Lessnoff. 9. Philosophy of Social Science : Richard Rudner. 10. Methodology of Social Research: Goode and Hat. 11. Methodology and techniques of social research: DrWilkinson and Dr. Bhandarkar. 12. Philosophy of Nature Science: C. Hempel. 13. Survey Research in Social Science: Mac Closky. 14. Fundamentals of Statistics: Elhance D.N. ejkbh 15- lqxe rdz kkl= vkf.k oskkfud i/nrh % izk- gql;kgdj] izkdkgs] izk-dkogs- 5

16- rdz kkl=kph ewyrrros % izk- ns-n-okmsdj o izk-y-c- gql;kgdj- 17- rdz kkl= Hkkx 2 % izk-jhfuokl nhf{kr- 18- rdz kkl= vkf.k oskkfud i/nrh % izk-hkk-x-dsrdj- 19- ejkbh rrokku egkdks k % laiknd izk- ns-n-okmsdj ¼[kaM 1] 2 o 3½- 20- lkekftd la kks/ku i/nrh % izk- i-y-hkkamkjdj- 21- lkekftd ikg.kh % rrro o i/nrh & lqfe=k Hkkos- 22- lkekftd kkl=s & rksam vksg[k % MkW-ukxksjko dqahkkj- 23- rokkukps rrrokku % ijke kz izdk ku] iq.ks fo kihb- Hkkx 1 [kam 8 vkwx V 1986 Hkkx 2 [kam 9 es 1987 24- laiw.kz rdz kkl= % izk-uk-lh-qmds- 25- la kks/ku i/nrh kkl= o ra=s % MkW-iznhi vkxykos- 26- lekt kkl=h; la kks/ku rrros vkf.k i/nrh % izk- jk-uk-?kksvkgs- 27- oskkfud la kks/ku i/nrh % MkW-lq/kk dkgnkrs- fganh 28- fjlpz esfkmkwykwth % MkW- kekz- 29- lkekftd losz{k.k % MkW- oktis;h- 30- lkekftd vuqla/kku % MkW-eq[kthZ- 6

B.A. Third Year LOGIC Syllabus With Effect from June 2010 Paper V Advanced Modern Logic 80 Marks 1) Introductory Predicate Logic a) Need for the study of predicate structure of propositions. b) Singular and general propositions: Nature, structure and symbolization. c) Exercises on symbolizing general propositions. d) Notion of propositional function. e) Quantifiers: Nature, types and functions. f) Rules of quantification in predicate logic: UI, UG, EI and EG (Preliminary Version only) 2) Proving Validity of arguments involving quantifiers a) Nature and technique of proving validity of arguments involving quantifiers, using preliminary quantification rules. b) Exercises in proving validity by direct, conditional and indirect proof. 3) Proving invalidity of Arguments Involving Quantifiers a) The basis of demonstration of invalidity of arguments. b) Method of demonstrating invalidity of arguments (Through assumptions of increasing universe of discoverse) c) Exercises on demonstrating the invalidity of invalid arguments in predicate logic. 4) Advanced predicate logic a) Singly and multiply general propositions: Nature and symbolization. 7

b) Exercises on symbolizing multiply general propositions. c) Free and Bound variable d) Revised rules of UI, UG, EI and EG. e) Exercises on proving validity of arguments involving multiply general propositions. f) Rule of quantifier negation. 5) Proving Logical Truths Involving Quantifiers a) Examples on proving logical truths involving quantifiers. 6) Relational Logic a) Relational logic as an extension of predicate logic. b) Nature, logical structure and kinds of relational proposition. c) Exercises on symbolizing relational propositions. d) Properties of dyadic relations. e) Proving validity of arguments involving relational propositions by direct and conditional proof. f) Ethymeme: Nature, proving validity of relational enthymic argument. 7) Identity and Definite Propositions a) Identity as relation. b) Leibniz s principle of identity. c) Symbolizing identical propositions. d) Proving validity of arguments involving identical propositions. e) Exercises on proving validity of arguments involving identical propositions. f) Definite description: Nature and symbolization. 8) Elementary Set theory a) Definitions: Set, Element of set, Sub set, proper Sub set, Null set, Universal set and identity of sets. b) Modes of specifying a set: Listing and defining 8

c) Basic operations on sets: Union, intersection and complementry. d) Demorgan s laws in terms of set theory. e) Interpreting A, E, I and O forms of propositions in terms of set theory. BOOKS FOR READING AND REFERENCE English 1. Symbolic Logic: I.M. Copi. 2. Introduction to Logic: I.M. Copi and Cohen. 3. Elements of Formal Logic: Hughes and Londey. 4. Elements of Logic : Stephen Barker. 5. Introduction to symbolic Logic: Basson A.H. and O connor D.S. 6. Methods of Logic: Quine W.V.O. 7. Amodern Introduction to Logic: L.S. Stebbing. 8. Formal Logic: Its Scope and Limits: Richard Jeffery. 9. Introduction to Logic: Patric Suppes (Relevant Chapters Only) 10. Logic by of set theory : Ehler s Henry. ejkbh 11- rdzjs[kk Hkkx 2 & MkW-lqjsanz ckjfyaxs o MkW- eks-iz-ejkbs- 12- vkdkfjd rdz kkl= & izk- es-iw-jsxs- 13- lqxd vkdkfjd rdz kkl= & MkW-,l-vkj-dkoGs o MkW-,y-Mh-xksGs- 14- rdzfo k Hkkx 2 & MkW- ch-vkj-tks kh] izk-,l-fog-dqyd.khz o izk- b-vkj- ebokys- 9

15- lkadsfrd rdz kkl= % izk- fn-;-ns kikams] izk- lqfurh uh-nso- 16- rdznhfidk & izk- fog-fog-vdksydj- 17- lkekftd kkl=krhy lakkfl/nkapk Li Vhdj.kkRed dks k % rrrokku o rdz kkl= % laiknd & MkW- ch-vkj- tks kh] lgys[kd izk-,l-fog- dqyd.khz- 18- lqxe rdzfopkj % izk- ek/koh dh] izk- b-vkj- ebokys- 19- rdz kkl= % izk- ch-ds- lkaoxhdj- 20- lap fokku % izk- e-jk- jkbzydj- fganh 21- rdz kkl= dk ifjp; % vuqoknd % izk- laxeyky ikams o izkxksj[kukfk fej- 22- izfrdkred rdz kkl= izosf kdk % izk- v kksddqekj oekz- 10

B.A. Third Year LOGIC Syllabus With Effect from June 2010 Paper VII Indian Logic 80 Marks 1) a Historical Introduction to Indian Logic 2) Pramanas Perception including Pratyasatti, Inference, Upmana, Sabda, Arthapatti and Anuplabdhi. 3) Categories (Padarthas) Nature and proof of categories. 4) A Detailed Study of Anumana a) Paramarsha, Vyapti, Vyaptigraha, Vyaptigraho, Payas, Nayaya Avayavas, Anumiti, Drashtanta. b) heory of inference: Purvavat and Sheshvat Anuman, Three laws of implications as the basis of inference, fallacies, Indian and Greek syllogism. 5) A Study of Language and Symbols a) Formalized language and metalanguage. b) Knowledge and Language. c) Language: The formal factors: Akanksha, Yogyata, Sannidhi, Tatparya, Saktigraha and Lakshna. d) The use of symbols in panini s methodology of grammer. 6) Theory of Classes: Theory of Samanya or Jati. 7) Judgements, Propositions and Functions a) Metaphysical basis. b) Varieties of Functions in Nyaya Logic. 11

c) Tanishta_Tadvat_Tadvachinna_Anuyogi and Pratiyogi. d) Sabdabodha e) Propositions and descriptions. f) Types of Propositions. g) A note on Nirupya and Nirupakabhava h) Theory of relations. 8) Truth functions, definition and Upadhi a) Logical connectives: Negation (Not), Conjunction (and), Disjunction (or), Implication (if-then), Equivalence (Bioconditional) b) Definition (c) Upadhi. 9) Theory of negation and meaning in Indian Logic; (including Buddhist) a) The nature of Nonegistence b) A note on Virah Pratiyogi 10) Inductive Elements in Indian Logic a) Knowledge: Empirical and Probable b) The problem of Vyaptigraphopaya, Bhuyo Darshana, Sahacargraha Semister Vyabhicaragraha Tarka Doubt about knowledge expressed by carvakas The Nyaya solution. c) The faculty of knowing Universals. d) Jnana Laksana Pratyasatti, Analogical Knowledge. e) Upamana f) Elements in causal process Arambhavada cause Different causes. BOOKS FOR READING AND REFERENCE English 1. Navayanyaya system of Logic : Guha D.C. 12

2. Materials for the study of Navyanyaya: Ingalls D.H.H. 3. Buddhist Logic (Two volumes) (Relevant Parts Only): St Cherbatsky. 4. Elements of Indian Logic: Bhattacharya C. 5. A Modern Introduction Indian Logic: Dr.Barlizgay S.S. 6. Nyaya Siddhanta Muktavali: Vishavanath. ejkbh 7- Hkkjrh; rdz kkl=kph #ijs kk % MkW-lqjsanz ckjfyaxs o MkW- Økarh izhkk ikams- 8- Hkkjrh; rrrokku ¼lacaf/kr Hkkx½ % izk-jhfuokl nhf{kr- 9- Hkkjrh; rrrokkukpk bfrgkl ¼lacaf/kr Hkkx½% izk- ika-nk- pks/kjh- 10- Hkkjrh; n kzu laxzg % izk- n-ok-tksx- 11- ejkbh rrrokku egkdks k [kam 1] 2 o 3% laiknd izk- ns-nokmsdj 12- lkekftd kkl=krhy lack fl/nkapk Li Vhdj.kkRed dks k % rrrokku o rdz kkl= % laiknd MkW-ch-vkj- tks kh] lgys[kd izk-,l-fog-dqyd.khz- fganh 14- uo; U;k; ds ikfjhkkf kd inkfkz % MkW- uyhjke kqdy- 15- tsu /kez n kzu % MkW-eksguyky esgrk- 16- tsu olrwlokra«;okn % vyiuk tsu- 13

17- lesfdr n kzfudk foe kz % iz/kku laiknd % lqjsunzflag usxh] laiknd % vafodknrr kekz- 18- Hkkjrh; n kzu % panz/kj kekz- 19- Hkkjrh; n kzu dh #ijs[kk % gjsunzizlkn flugk- 20- Hkkjrh; n kzu % tnwukfk flugk- 14