Daftar Pustaka
Altson, W.P.1964. Philosophy ofLanguage. Englewood Cliffs: Prentice-Hall Ammerman, Robert R. 1994. Classics ofAnalytic Philosophy. Indianapolis: Hackett Publishing Company Inc. Angelo R. 0. A Synopsis of Wittgenstein 's Logic of Language . . http://wwww. roan gel. net/logwitt/html. Angelo R. 0. Philosophy of Mathematics, http://www.roangelo.net/logwitt/ logwitt8. html. Anscombe,G.E.M .. 1971. An Interpretation to Wittgenstein 's Tractatus. USA: Hutchinson & CO. (Publishers) Apostol, Tor:. 1 M .. 1979. Mathematical Analysis. Massachusetts: Addison-Wesley Publishing Company. Armanto, D. 2002. Teaching Multiplication and Division Realistically in Indonesian Primary Schools. A Prototype ofLocal Instructional Theory (Diss.).Enachede: PrintPartners Ipskamp. Aspeitia, Axel Arturo Barcelo. 1998. Logical Inference and Derivation. http://www.{iloso(icas.unam.mxi-Tdl/axel.htm. Aspeitia, Axel Arturo Barcelo. 2000. Mathematics as Grammar. Submitted to the faculty of the Graduate School in partial fuilfillment the requirements for the degree Doctor in Philosophy in the Departement of Philosophy Indiana University. Ayer, A.J .. 1952. Language, Truth, and Logic. Harmonds: Penguin Ayer A.J .. 1959. Logical Positivism. New York: The Free Press, Mac Millan Publishing Co. Ayer, A.J .. 1986. Ludwig Wittgenstein. Great Britain: Cox & Wyman Ltd. Bagus, Loren. 2002. Kamus Filsafat. Jakarta: Gramedia. Bakker, Anton. 1984. Metode-metode Filsafat. Jakarta: Ghalia Indonesia. Bakker, Anton dan Achmad Charris Zubair. 1990. Metode Penelitian Filsafat. Yogyakarta: Penerbit Kanisius. Bakker, Gordon. 1988. Wittgenstein, Frege and the Viena Circle. Oxford: Blacwell Bartle, Robert G. and Sherbert, Donald R. 1992. Introduction to Real Analysis. New York: John \Viley & Sons, Inc. Bell, A. and Shiu C.M.. 1981. Diagnostic teaching in Mathematics: Part 1 of Report of SSRC Research Project Diagnostic Teaching and the Acquisilion of General Strategies in Mathematics. Shell Centre for Mathematical Education, University ofNottingham. Bell, Frederick H 1981. Teaching and Learning Mathematics (In Secondary Schools). Dubue, Iowa: Wm. C. Brown Company Publishers. Benacerraf, Paul. & Hilary Putnam (eds). 1964. Philoshopy of Mathematics: Selected readings. Englewood Cliffs, NJ: Prentice-Hall. Bemadien, Win Ushuluddin. 2004. Ludwig Wittgenstein: Pemikiran Ketuhanan & Implikasinya Terhadap Kehidupan Keagamaan di Era Modern. Yogyakarta: Pustaka Pelajar
281
Bemays, Paul. 1964. On platonmism in mathematics . .In Benacerraf, Paul. & Hilary Putnam (eds). Philoshopy of Mathematics: Selected readings. Englewood Cliffs, NJ: Prentice-Hall. Bertens, K.. 1981. Filsafat Barat Dalam AbadXX, Jilid I. Jakarta: Gramedia. Bertens, K. 2002. Filsafat Barat Kontemporer: Inggris -Jerman . .Jakarta: PT Gramedia Pustaka Utama. Bettencourt, A. 1989. What is Constructivsm and Why Are They All Talking About It? Michigan: Michigan State University. Biggs, Michael and Cripps, Peter. Wittgenstein 's Notes of Logic.http://wab.aksis. uib. no/wp-noll-l.pd[. Birch, Anthony. 1991. "Waissmann 's Critique of Wittgenstein" (http://www.qis. net -tbirch/wittgweb. txt) Bitbol, Michel. 2002. Formalized epistemology, logic and grammar. Norwell, MA, USA: Kluwer Academic Publishers. Black, Max. 1965. "Verificationism and Wittgenstein's Reflections on Mathematics," Revue Internationale de Philosophie, Vol. 23: 284-94; reprinted in Ludwig Wittgenstein: Critical Assessments, Vol. III, Shanker (ed.), London: Croom Helm: 68-76. Brouwer, L. E. J. .1913. "Intuitionism and Formalism." Bulletin American Mathematical Society. Vol. 20. p 81-96. Buchori, Mochtar. 2001. Pendidikan Antisipatoris. Yogyakarta: Kanis ius. Budiman, Ajang dan Asdi, Endang Daruni. 1998. "Batas-batas Bahasa dalam Filsafat Ludwig Wittgenstein".Berkala Penelitian Pasca Sarjana Universitas Gajah The Mada. Jilid 11, Nomer (2A), Mei 1988. Burbules, Nicholas C. dan Peters, Michael. 2003. 50 Pemikir Pendidikan dari piaget sampai Masa Sekarang (ed. Joy A. Palmer, pent. Farid Assifa. Yogyakarta: Penerbit Jendela. Camap, Rudolf. 1939. International Encyclopedia of Unified Science, Vol. 1, No. 3. The Foundation of Logic and mathematics. Chicago: University of Chicago. Camap, Rudolf. 1964. The Logicist Foundations of mathematics. In Benacerraj Paul. & Hilary Putnam (eds). Philoshopy of Mathematics: Selected readings. Englewood Cliffs, NJ: Prentice-Hall. Charlesworth, M.J. 1959. Philosophy and LinguisticAnalysis. Pitttsburg: Duquesne University. Cheung, Leo K. C. 2006. The Unity of Language and Logic in Wittgenstein's Tractatus. Philosophical Investigation, Volume 29 Page 22, Januari 2006. Cobb, P., Yackel, E., & w ·ood, T.. 1992. A Constructivist Alternative to the Representational View of Mind in Mathematics Education. Journal for Research in Mathematics Education, Vol. 23(1), 2-33 Collinson, Diane. 2001. Lima Puluh Filosof Dunia yang menggerakan. (Pent. Ilzamudin Ma'mur dan Mufti Ali). Jakarta: PT RajaGrafindo Persada. Copi, Irving M.1986. Introduction to Logic. New York: McMillan Publishing Comp. Curry,- Haskell B. 1958. Outlines of a Formalist Philosophy of Mathematics. Amsterdam: North-Holland.
282
Curry, Haskell B.. 1964. Remark on the Definition and nature ofMathematics. In Davis, R. B. (1990). Discovery learning and constructivism. In R. B. Davis, C. A. Maher, & N. Noddings (Eds.), Constructivist views on the teaching and learning of mathematics (pp. 93-1 06). Reston, VA: National Council of Teachers ofMathematics. de Lange, J. 1987. Mathematics, Insight, and Meaning. Utrecht: OW & OC de Lange, J. ( 1996). Using and Applying Mathematics in Education. in: A.J. Bishop, et al. (eds). 1996. International handbook of mathematics education, Part one. 49-97. Kluwer Academic Publisher. de Lange, J. 1999. "Hans Freudenthal", in Freudenthal Institute". Utrecht: Freudenthal Institute. ce Lange, J. (1995). Assessment: No Change without Problems, in: Romberg, T.A.(eds). (1995). Reform in School Mathematics and Authentic Assessment. New York, Sunny Press, 87-172. Diamond, Cora (ed.). 1976. Wittgenstein 's Lectures on the Foundations of Mathematics. Itacha, N.Y.: Cornell University Press. Dolhenty, Jonathan. Philiosphy of Education and Wittgenstein 's CCConcept of
Langage game. http://radicalacademv. com/philangamesl.htm Dummet, M. 1959. Wittgenstein Philosophy of Mathematics. The Philosophical Review. Vol. LXVIII, p. 324-348 Eade, F .. 2004. Lecture to Trainees. Manchester Metropolitan University, April 2004. Encyclopredia Britmmica. http:/lwww. britanica.com/search? query=logicism. Ernest, Paul. Social Constructivism as a Philosophy of Mathematics: Radical
Constructivism Rehabilited? http://www.people. ex. ac. uk/PErnest/soccon. htm Ernest, Paul. 1991. The Philosophy of Mathematics Education. Bristol : The Falmer Press Ernest, Paul . 1998. Social Constructivism as a Philosophy of Mathematics. Albany, NY: State University ofNew York Press. Eves, Howard W .. 19xx. A Survey ofGeometry. London: Allyn and Bacon, Inc. Eves, Howard W. & Newsom, Caroll V.. 1964. An Introduction to the Foundation and Fundamental Consepts of Mathematics. New York: Holt, Rinehetil: and Winston. Ewing, A.C. 2003. Persoalan-persoalan Mendasar Filsafat. (Pent. Uzair F. & Rika I.F). Yogyakarta: Pustaka Pelajar. Fauzan, A. 2002. Applying Realistic Mathematics Education (RME) in Teaching Geometry in Indonesian Primary Schools (Diss.). Enachede: PrintPartners Ipskamp. Finch. Henry Le Roy. 1977. Wittgenstein-The Later Philosophy. Atlantic Highlands. N.J.: Humanities Press. Fireman, Peter. 1954. Perceptualistic Theory of Knowledge. New York: Philosophical Library. Floyd, Juliet. 2002. "Number and Ascriptions of Number in Wittgenstein's Tractatus," in Perspectives on Early Analytic Philosophy: Frege, Russell, Wi(tgenstein, E. Reck (ed.). New York: Oxford University Press: 308-352.
283
Fraleigh, John B. 1974. A First Course in Abstract Algebra. London: AddfisonWesley Publishing Company. Frascolla, Pasquale, 1980, "The Constructivist Model in Wittgenstein's Mathematics," Revista Filosojia, Vol. 71: 297-306; Philosophy of reprinted in Ludwig Wittgenstein: Critical Assessments, Vol. III, S. Shanker (ed.), London: Croom Helm: 242-249. Frascolla, Pasquale. 1994. Wittgenstein's Philosophy ofMathematics. London and New York: Routledge. Frascolla, Pasquale. 1997. "The Tractatus System of Arithmetic," Synthese, Vol. 112: 353-378. Frascolla, Pasquale. 1998. "The Early Wittgenstein's Logicism," Acta Analytica, Vol. 21: 133-137. Frege, G .. 1893. Basic Laws ofArithmetic. Oxford: Blackwell Freudenthal, H.. 1991. Revisiting Mathematics Education. China Lectures. Dordrecht: Kluwer Academic Publisher Gefwert, http://www. org.learning. au c. dkldiverse/wittgenstein-eng. dec). Glasersfeld, E. von. 1989a. International Encyclopedia of Education (Supplementary Vol.) Constructivism in Education, in Husen, T. and Postlethwaite, N. Eds. (1989), Oxford: Pergamon, 162-163. Glasersfeld, E. von. 1989b. "Knowing 1-vithout Metaphysics: Aspects of the Radical Constructivist Position". In F. Steier (Ed.) Research and Reflexity: Toward a Cybernetic/ Social Constructivist Way of Knowing. London: Sage. Goodman, N. 1965. Fact, fiction and forecast (2 ed.) Indianapolis: BobbsMerrill. Gravemeijer, K .. 1994. Developing Realistic Mathematics Education. Utrecht: Freudenthal Institute. Greenberg, Marvin Jay. 1974. Euclidean and Non-Euclidean Geometries. San Francisco: W.H. Freeman and Company. Grouws, D.A. 1992. Handbook of Research on Mathematics Teaching and Learning. New York: Macmillan Publishing Co. Godino and Batanero, 1994. A Semiotic and Antropogical Approach to Reaearch in Mathematics Education. Philosophy of Mathematics Education Jurnal. http:www.ex.ac. uki-Pernest/homel 01. Hadi, P. Hardono.1994. Epistemologi Filsafat Pengetahuan. Yogyakarta: Kanisius. Hadi, S. 2002. Effective Teacher Professional Development for Implementation of Realistic Mathematics Education in Indonesian (Diss.). Enachede: PrintPartners Ipskamp. · Hadi, S .. 2003. Kurikulum 1994 Akhirnya Disempurnakan, 1999. Kompas. [Online]. Tersedia: http://kompas. com/kompas%2Dcetak/berita%2Dterbaru/163 4. html. Hadiwidjojo, Moeharti. 1986. Tingkat-tingkat Kebutuhan akan matematika Pidato Pengukuhan Guru Besar Pada FPMIPA IKIP Y ogyakarta 13 Desember 1986. Haggarty, L .2002. Teaching Mathematics in Secondary Schools. London: Routledge Farmer,
284
Halpin, Terence A. am.d Girle, Roderic A.. 1988. Deductif Logic. Strathpine, Quiensland: Logi@lfess Ham.ersma, Harry. 1S&3. Tokoh-tokoh Filsafat Barat Modern. Jakarta: PT Gramedia. Hardy, G.H and Wriglx, E.M .. 1938. An Introduction to the Theory of Number. New York: Oxford University Press. Harrison, R. 2003. Explore and Refine The Relationship Between Teaching and Learning. http://s r3a.math.aca.mmu.ac.uk/Student Writings/RichHarrison/ RichardHarrison.html. Hers, Reuben. 1997. Wilat is ~Mathematics, Really? London: Jonathan Cape. Heyting, Arend. 1954. The Intuitionist Foundations of Mathematics. In Philosophy of MG.!hematics, ed. P. Benacerraf and H. Putnam. 1964, p. 4249 ' Hintikka, Jaakko. 1993. "The Original Sinn of Wittgenstein's Philosophy of Mathematics," in Wittgenstein's Philosophy of Mathematics, K. Puhl, (ed.). Vienna: Verlag HSlder-Pichler-Tempsky: 24-51. Hudoyo, Herman. 1980. Pengembangan Kurikulum Matematika dan Pelaksanaannya dlf Depan Kelas. Surabaya: Usaha Nasional. · Hurley, Patrick J .. l996. A Concise Introduction to Logic. London: Wadsworth Publishing Company. Huxley, Aldous. 1962. _.Word and Their Meaning", The Importance of Language, Ed Max Black. Er_g~ewood Cliffs, N.J.: Prentice Hall. Irvine, A. 1994. Experiment in Mathematic, talk given at the University of Waterloo. http://::c.gsci. uwaterloo. calArtides!Pages/cohere. constrain. html Johnson, E.B. (2002), Contextual Teaching and Learning. California: Corwin Press Inc. Kaelan. 2002. Filsafat Bahasa: Masalah dan Pengembangannya. Y ogyakarta: Penerbit Paradigma Kaelan. 2003. Filsafat Analitik Menurut Ludwig Wittgenstein: Relevansinya bagi Pengembangan FJ.S':J.f at Bahasa. Disertasi Fakultas Filsafat UGM. Kaelan. 2004. Filsafat A.nalitis Menurut Ludwig Wittgenstein: Pemikiran Tentang Dasar-dasar Verbf.7w.si Ilmiah, Logika Bahasa, Teologi Gramatikal, dan Paradigma Pragrrudk. Yogyakarta: Paradigma. Kaelan. 2005. Metode P~nelitian KualitatifBidang Filsafat. Yogyakruia: Paradigma. Kaelan. 2006. Perkercbangan Filsafat Analitika Bahasa dan Pengaruhnya terhadap llmu Pengetahuan. Yogyakarta: Paradigma. Kattsoff, Louis 0 .. 1949'. A Philosophy ofMathematics. Ames, Iowa: The Iowa State College Press. Kattsoff, Louis 0.. 1.:)~:6. Pengantar Filsafat (terj. Soejono Soemargono). Yogyakarta: Tiara Vl acana. Kenny, Anthony. 1973. Wittgenstein. Harmondsworth: Penguin Books Ltd. Kitcher, P. 1983. The cature of mathematical knowledge. New York: Oxford University Press. Klenk, V. H.. 1976. Wittgenstein's Philosophy of Mathematics. The Hague Marinus Nighoff Komer, S. 1960. The Philosophy ofmathematics. London: Hutchinson.
285
Kremer, Michael, 2002, "Mathematics and Meaning in the Tractatus" , Philosophical Investigations, 25:3, pp. 272-303. Kremer, Michael. 2002. Review: Logic and Language in Wittgenstein's Tractatus Philosophical Review. Vol III, No.2 April2002. p. 321-330 Lakatos, I. .1976. Prooft and Refutations. Cambridge: CUP. Lakatos, 1.1978. Mathematics, Science and Epistemology. Philosopical Papers, Volume 2. New York: Cambridge University Press. Lange, J. de (1996). Using and Applying Mathematics in Education. in: A.J. Bishop, et al. (eds). 1996. International handbook of mathematics education, Part one. 49- 97. Dordrecht: Kluwer Academic Publisher. Landry. 2001. A Blupete Essay. http://www.ideo.co.uk/Research etc. Lanur, Alex. 1 983. Logika. Yogyakarta: Pe11erbit Kanis ius. Leonhardy. 1962. Introductory College Mathematics. New York: John Wiley & Sons. Lewis, Clarence Irving and Langford, Cooper Harold. 1959. Simbolic Logic. New York: Dover Publications, Inc. Lipschutz, Seymour. 1965. General Topology. New York: McGraw-Hill Book Company. Lloyd, Peter B. What is truth. http://easvweb.easynefco.uk/ ursa/philos/aert04. html. Maher, C.A. and Davis, R.B. . 1990. Building Representations of Children's Meanings in Monograph 4 - Constructivist Views on the Teaching and Learning of Mathematics. Journal for Research in Mathematics Education. Virginia, USA: National Council ofTeachers of Mathematic,. Maman, Rahman dkk .. 2003. Filsafat Ilmu. Semarang: UPT MKU Uninersitas Negeri Semarang Marion, Mathieu. 1998. Wittgenstein, Finitism, and the Foundations of Mathematics, Oxford: Clarendon Press. Marpaung, Y . . 2003. Perubahan Paradigma Pembelajaran Matematika di Sekolah. Makalah disan1paikan dalam Seminar Nasional Pendidikan Matematika di Universitas Sanata Dharma Yogyakarta, tanggal 27-28 Maret 2003. Matar, http://www. tau. ac. il/hu:nanities/philoslsegel/matar. html Mattews, M. 1994. Science Teaching. New York: Routledge. May, Kenneth 0., 1962. Element of Modern matematics. Reading, AddisonWesly. Mehra, Partap Sing dan Burhan, Jazar..1964. Pengantar Logika Tradisionil. Bandung: Putra Abardin. Mintaredja, Abbas Hamami. 2003. Teori-teori Epistemologi Common Sense. Yogyakarta: Paradigma. Monk, Ray, 1990, Ludwig Wittgenstein: The Duty ofGenius, New York: The Free Press. Monk, Ray. 2005. How To Read Wittgenstein. New York: Norton. Moore, A. W .. 2003. "On the Right Track", Mind. Vol. 112, No. 446: 307-321. Mudhofir, Ali.2001. Kamus Filsu.f Barat. Yogyakarta: Pustaka Pelajar. Mundiri. 2002. Logika. Jakarta: PT RajaGrafindo Persada.
286
Munitz Milton K. 1981. Contemporary Analytic Philosophy. New York: Macmillan Publishing Co. Mustansyir, Rizal. 1995. Perkembangan Pemikiran Ludwig Wittgenstein Sebagai Sarana R ejleksi Terhadap Bhinneka Tunggal Ika. Tesis Magister Fakultas Filsafat Universitas Gajah Mada. Mustansyir, Rizal. 2001. Filsafat Analitik: Sejarah, Perkembangan, dan Peranan Para Tokohnya. Yogyakarta: Pustaka Pelajar. Nickson, M. .2000. Learning and Teaching Mathematics. New York: Cassell Education. Pailhuizen, M.V.D.H. 2003. 1998. Realistic Mathematics Education work and progress. NORMA Lecture held in Kristians and Norway. Panhuizen, M.V.D.H. 2003. The didactical use of models in Realistic Mathematics Education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54, 9-35. Theory and Science: Wittgenstein, Education and the Peters, M. 2002. Philosophy ofMathematics. University of Glasgow: Piaget, j. 1971. Psychologi and Epistemology. New York: The Viking Press. Pitcher, George. 1964. The Philosophy of Wittgenstein. New Jersey: Englewood Cliffs. Poespoprodjo, W. 1991. Logika Scientifika. Bandung: PT Remaja Rosdakarya. Potter, Michael. 2000, Reason's Nearest Kin. Oxford: Oxford University Press. Prenowitz, Walter and Jordan, Meyer. 19xx. Basic Consepts of Geometry. Blaisdell International Textbook Series. Priest, G. 1973. A bedside reader's guide to the conventionalist philosophy of mathematics, in Bell et al. (1973), pp. 115-132. Proops, Ian. The Tractatus on Influence and Entailment. http://www.personil. umich. edurproops/practice/tlpie. pdf Proops, Ian. Logic and Language in Wittgenstein 's Tractatus. http://www. personil. umich. edu!proops/practice/tlpie.pdt). Purcell, Edwin J .. 1984. Kalkulus dan Geometri Analitis (Pent. Rawuh dan Bana Kartasasmi ta). Jakarta: Erlangga. Quine, W.V.O.. 1981. Mathematical Logic. Cambridge, Mass.: Harvard University Press. Ramsey, Frank Plumpton. 1923. "Review of'Tractatus' ," Mind, Vol. 32, No. 128: 465-478. Rapar, Jan Hendrik. 1996. Pengantar Logika. Yogyakarta: Kanisius. Resherer, N. 1973. The coherence theory of truth. Oxford: Clarendon Press. Richter, Duncan J. Wittgenstein. http://www.utm.ed/researchljep/w/wittgens.htm Rodych, Victor. 1995. "Pasquale Frascolla's Wittgenstein's Philosophy of Mathematics," Philosophia Mathematica (3), Vol. 3: 271-288. Rodych, Victor. 2007. Wittgenstein's Philosophy of Mathematics. First published Fri 23 2007. http:// Plato.stanford.edulentries/ Wittgenstein.mathematics Rosser, J. Barkley. 1953. Logic for Mathematicians. New York: McGraw-Hill Book Company, Inc. Rudin, Walter. 1986. Principles of Mathematical Analysis. London: McGraw-Hill Book Company
287
Russell, Bertrand. 1903, The Principles of Mathematics. (1992; second edition, with a new Introduction, 193 7). London: Routledge, Russell, Betrand. 1951. The Principles of Mathematics. London: George Allen and Unwin. Russell, Betrand. 1956. Introduction to Mathematical Philosophy. London: George Allen and Unwin. Sach, Jeffrey. 2000. The Economist. The New Map of the World. June, 96-97. Sahakian , William S and Sahakian, Mabel L. 1965. Realm of Philopy. Cambridge: Schenkman. Sawyer. On Wittgenstein 's Concept of Language Game. http://vvww.cali{ornia. com/crathbone/word htm, Schaaf, William L. 1966. Basic Consepts of Elementary Mathematics. New York: John Wiley and Sons. Schopenhauer. 1995 The World as Will and Idea (Trans. Jill Berman). London: Evryman. Schuyler, Grant. Wittgenstein 's Tractactus. bttp:l/home.ca.in{er/ -grantsky/ tractatus. html Scott, Alex. 2001. Wittgenstein 's Tractacus Logico Philosophicus. http:lwww angelfire. comlmd2/time. warp/index.html . Sembiring, R.K. 2001. "Mengapa memilih RA1EIPMRI?" . Makalah disampaikan dalam Seminar Nasional PMRI di Yogyakarta tahun 2001. Shanker, S. G .. 1987. Wittgenstein and the Turning Point in the Philosophy of Mathematics. Albany: SUNY Press. Shanker, S. G .. http://www.org.learning.auc.dk/diverselwittgensteineng.dcc. Skemp, Richard F. 1975. The Psychology of Learning Mathematics. AyLesbury, Bucks: Hazell Watson & Viney Ltd. Sluga, Hans and Stern, David G.. 1996. The Cambridge Companion to Wittgenstein. New York: Cambridge University Press. Smith, Robin. Aristotle's Logic. http://plato.stanfOrdedu/entrieslaristotle.logic. Soehakso, RMJT. 1992. Filsafat Dalam Kaitannya Dengan Riset J1atematika, Pendidikan Matematika di Perguruan Tinggi dan Pra Perguruan Tinggi. Makalah Makalah disampaikan dalam Seminar Nasional Pendidikan Matematika SM FPMIPA Universitas Sanata Dharma Yogyakarta pada taaggal 23-24 Oktober 1992. Soehakso, RMJT. 1996. Bukti Tentang Adanya Bilangan Irasionaf Dalam suatu Interval Sembarang dari Bilangan Real Tanpa Reduktio ad Absurdum. Makalah disampaikan di Yogyakarta pada tanggal 6 Mei 1996. Soehakso, RMJT. 1997. Kedudukan Logika dalan1 Bangunan Ilmu Matematika dan Sains serta Peranannya dalam Riset dan dalam Pendidikan Matematika. Pendidikan Sains yang Humanistis p. 187-223. Yogyakarta: Penerbit Kanisius. Soehakso, RMJT. 1998. Logika dalam Teori-teori A1atematika. Makalah disampaikan pada Seminar Aljabar oleh Himpunan Peminat Aljabar DIYJateng di Universitas Sarjanawiyata Tamansiswa Yogyakarta 24 September J998. Soehakso, RMJT. 2001. Evaluasi Filsafat-:filsafat Matematika mutakhir: Social
288
Contructivism-Ludwig Wittgenstein 1991, Humanistic Conseption-Reuben Hersh 1995 dipandang dari sudut konsepsi pluralistik tentang hakiki matematika - penulis. Makalah disampaikan dalam Seminar Dosen Rumpuu M1P A Universitas Sanata Dharma Yogyakarta pada tanggal 7 Februari 2001. Soehakso, RMJT. . 2003. The Origin and Development of Logical Knowledge Rational Reconstruction of The Truthtables. Disajikan di Program Doktor Pendidikan Matematika UNESA Surabaya. Soekadijo, RG. 1994. Logika Dasar. Jakarta: Gramedia. Sommers, M. 1992. Logika. Bandung: Penerbit Alumni. Sowa, John F.. Signs, Processes, and Language Games. http://www.ececs.uc.edu /-mazlocklc5716.{2006/semantic. web.ontology.papers/Sowa.2005.signs. Processes. pd(. Stanford Encyclopedia of Philosophy, http://plato.stan(ordedu!entries/ philosophy-mathematics/#Ot). Stanford Encyclopedia of Philosophy, http://plato.standford edul[undraising. Stanford Encyclopedia of Philosophy, http://Plato.stanfordedulentries/truth. coherence/. Stanford Encyclopedia of Philosophy, http://plato.stn(ordedulentiries/ Wittgenstein. mathematics/ Streefland. L. ( ed. ). 1991. Realistic Mathematics Education in Prim my School. Utrecht: CD-b Press I Freudenthal Institute, Utrecht University. Sudarminta, J. 2002. Epistemologi Dasar: Pengantar Filsafat Pengetahuan. Yogyakarta: Penerbit Kanisius. Suparno, Paul. 1996. Filsafat Konstruktivisme dalam Pendidikan Sains dan Matematika. Makalah disampaikan pada Seminar Dosen FMIPA dan JPMIP A FKIP Universitas Sanata Dharma Yogyakarta 6 November 1996 Suparno, Paul. 1997. Filsafat Konstruktivisme dalam Pendidikan. Yogyakarta: Penerbit Kanisius. Suppes, Patrick. 1957. Introduction to Logic. London: D. Van Nostrand Company,
Inc. Suriasumantri, Jujun .1983. Ilmu dalam Persepektif. Jakarta: Gramedia. Suriasumantri, Jujun S. 1999. Filsafat Rmu (Sebuah Pengantar Populer). Jakarta: Pustak:a Sinar Harapan. Susilo, F .. 2003. Pengantar Himpunan & Logika Kabur. Yogyakarta: Universitas Sanata Dharma. Sutrisno, Muji Fx. dan Hardiman Budi. 1992. Para Filsuf Penenru Gerak Zaman. Yogyakarta: Kanisius. Talati, Afsana. 2004. Teaching and Learning Realistic Mathematics Education. http:// www.Partnership. mmu. ac. uklcme/student!TS1/A (sana/A (sana. html. Telese, James A., http://edrev.asu.edu/reviews/rev25.htm. Thagard, P. 1988. Computational philosophy ofscience. Cambridge, MA: MIT Press/Bradford Books. Thagard, P, 1989. Explanatory coherence. Berhavioral and Brain Sciences, 12, 435-467. Coherence as Constraint Satisfaction. Thagard, Paul & Verbeurgt. http://cogsci. uwaterloo. calArtides/Pages/cohere. constrain. html.
289
The New Encyclopedia Britanica. 1982. The New Encyclopedia Britanica th. http://www.britanica.com/eb /article9110689). The Liang Gie. 1981. Filsafat Matematik (Bag. Pertama). Yogyakarta: Supersukses. The Liang Gie.1993. Filsafat Matematik (Bag. Kedua). Yogyakarta: Yayasan Studi Ilmu dan Teknologi. Thorn, R. . 1973. Modern mathematics: does it exist? in Howson, A.G. ed. Developments in Mathematical Education, Cambridge: CUP, 195-209. Treffers, A. 1991. Realistic mathematics education in The Netherlands 19801990. In L. Streefland (ed.), Realistic Mathematics Education in Primary School. Utrecht: CD-b Press I Freudenthal Institute, Utrecht University. Treffers 1987. The Dimension, A Model of Goal and Theory Description in Mathematics Instruction. The Wiskobas Project. D. Reidal Publising Company Vaid, Nida Teaching and Learning. http://www.partnership.mmu.ac.uk/cme/ student writing/TSI/Nida Vaid html van den Heuvel-Panhuizen, M. 1998. Realistic Mathematics Education work · and progress. NORMA Lecture held in Kristi(lns and Norway. Available on-line at http://www. fi.ruu.nl/en/rme . van den Heuvel-Panhuizen, M .. 2003. The Didactical use of Models in Realistic Mathematics Education: An Example from a Longitudinal. Trajectory on Precentage Verhar, J. W. M .. 1992. Azas-azas Linguistik Umum. Yogyakarta: Gadjah Mada University Press. von Glasersfeld, E. 1989. "Knowing without Metaphysics: Aspects of the Radical Constructivist Position". In F. Steier (Ed) Research and Reflexity: Toward a Cybernetic/ Social Constructivist Way of Knowing. London: Sage. Waismann, Friedrich. 1979. Wittgenstein and the Vienna Circle, edited by B.F. McGuinness; translated by Joachim Schulte and B.F. McGuinness. Oxford: Basil Blackwell. Waismann, Friedrich. 1982. Lectures on the Philosophy of Mathematics. Amsterdam: Editions Rodopi, B. V. Weiner, D. 1993. Genius and Talens: Scopenheuer's Influence on Wittgenstein's Early Philosophy. London: Association of University Press. Whitehead, Alferd North. 1948. Science and Philosophy. New York: Philosiphical Library. Wikipedia. http :lien. wikipedia. org/WIKII. Wikipedia, Epistemology. (http://en.wikipedia.org/wiki/ Epistemology). Wikipedia, Formal_logic. http :1Ien. wikipedia. org/wiki/Formal logic. Wikipedia .Formalism. http :lien. wikipedia.org/wiki/Mathematical formalism. Wikipedia. Intuitionism. http://en.wikipedia.org/wiki/Mathematical intuitionsm. Wikipedia. Logicism. http://en. wikipedia.org/wiki/Mathematical logicism. Wikipedia, Mathematics. (http :lien. wikipedia. org/wiki/mathematics).
290
Metalogic. http://66.218.69.11/searchlcache?ei=UTF8&p= Wikipedia. metalogic&y=Search&fr=yp501 &fp ip=ID&u=en. wikipedia.org/wiki/Meta logic&w=metalogic&d=KaaFjvHQdwi&icp=l&. intl=us. Wikipedia. Philosophy of mathematics. http :lien. wikipedia.orglwiki/Philosophy of mathematics. Wittgenstein, L. 1951. Tractacus Logico Philosophicus. London: Routledge & Kegan Paul Ltd. Wittgenstein, L. 1953: Philosophical Investigation ( transled by G.E.M. Anscombe). Oxford: Basil Blackwell. Wittgenstein, L. 1958. The Blue and Brown Books. Oxford: Blackwell. Wittgenstein, L.. 1967. Zettel, G.E.M Anscombe and G.H. von Wright (Eds.); translated by G.E.M. Anscorrbe.Berkeley: University of California Press; Wittgenstein, L.. 1974. Philosophical Grammar.(Rush Rhees, ed., translated by Anthony Kenny. Oxford: Blackwell. Wittgenstein, L.. 1975, Philosophical Remarks. (Rush Rhees, ed., translated by R. Hangreaves and R. White. Oxford: Blackwell. Wittgenstein, L. 1978. Remarks on the Foundation ofMathematics (Revised Edition). Cambridge: Massahusetts Institute of Technology Press Wrighly. Wittgenstein. http:/lwww. org.learning.auc. dk/diverse/wittgenstein-eng .dec. Wrigley, Michael. Wittgenstein on Inconsistency. http://www. royalinstitutephilosophy.org/index. htm. Zamroni. 2000. Paradigma Pendidikan Masa Depan. Yogyakarta: Bigraf Publishing. Zulkardi. 2002. Developing A Learning Environment on Realistic Mathematics Education for Indonesian Student Teachers. (Diss.). Enachede: PrintPartners lpskamp. Zulkardi. How to Design Mathematics Lessons based on the Realistic Approach? http://www.geocities.com/ratuilma/rme. html. Sumber lain: Epistemology. http://www. philosophydass. com/ epistemology. htm. Intuitionism. http://www.lvcos. com/info/intuitionism.html. Mathematics. http://answer.commair/ntq-s-Mathematics. Mathematics.http://www.marxists.org//re(erence/subjoot/philosophy/help/maths. htm. Philosophy. http://www. dpmms.cam. ac. uk/-wtgl 0/philosophy.html. Philosophy of logic. http://philosophy. lander.edu/phil log.htmQ. Philosophy of Mathematics. http://www.answers.com/topic/ philosophy-of mathematics Profession Jokes. http://www.jokes. The Nature of Philosophy and Logic. http://philosophy.lander.edu/phil log.html What is Mathematics. http://www. herkimershideaway. orglwritings/ whatmth.htm .. .... .http://protagoras. type pad. com/about. html . . . . . . . .http://www. answers. com/tovic/logic-1? cat=technology . •
