Selected Sites   (see also All Sites in this category)

Are Mathematicians Turning Soft? - Keith Devlin (Devlin's Angle) An article about 'soft mathematics'. "...In order to capture some of the abstract patterns and structures of mind and language, linguists sometimes find it convenient (perhaps necessary) to make use of mathematics, or at least mathematical notation or techniques. The result is not that linguistics becomes part of mathematics, or even a "mathematical science" (in the sense of, say, physics). The aim is not to prove theorems. There might not be any relevant theorems to prove. Ever. There might not even be any deep or revealing definitions. The aim is to do linguistics, to understand language and investigate the way people use language to communicate.... I view it as an affirmation of the incredible power of mathematics that even its simplest elements can be put to good use by others." more>> A Playground of Thoughts - Takasugi Shinji Takasugi's "Number Systems of the World" lists dozens of languages; how to count from zero to one hundred in each; and the mathematical meaning of the expressions for each numeral. For example, the French say "93" with quatre-vingt-treize, which means "4 × 20 + 13," while the Huli speakers of Papua New Guinea, who count in a quindecimal system (base 15), say ngui waraga, ngui kane-gonaga tebira, which means "(15 × 6) + (three objects of the seventh 15)." With references, trees of language families, native speaker population estimates, and geographic areas. The Japanese engineer and recreational linguist's "playground" also includes several mathematical Java applets: "Number Place Puzzle" solves sudoku grids from 4×4 in size to 25×25; "Alphametic Puzzle" deciphers letter-number puzzles such as SEND + MORE = MONEY; and "Mandelbrot Microscope" shows the fractals of the Mandelbrot set and Julia sets. more>>

All Sites - 21 items found, showing 1 to 21

Beyond the Individual-Social Antimony in Discussions of Piaget and Vygotsky - Cole, Wertsch A discussion of the ongoing debate about the relation between the ideas of Vygotsky and Piaget, emphasizing a cardinal difference between them: their views concerning the importance of culture, in particular, the role of mediation of action through artifacts, ...more>> Bytes of Science: An Internet Magazine - David S. Mazel, Ed. An Internet magazine on science and engineering, with tutorials and introductory articles on various areas of science, math, or engineering. Articles include: A Basis for Functions: The Fourier Series; The Fourier Transform: The Frequency in a Waveform; ...more>> Eskimo Pi - Keith Devlin (Devlin's Angle) "As everyone knows, in the last century, the State of Indiana passed a law legislating the value of pi to be 3. Well, perhaps it's a bit of an exaggeration to say that everyone knows it, but most people do. But that alone is very odd, since it is not ...more>> Factoids - Susan Stepney An "uneven collection of facts, quotations, and other miscellaneous scraps, that don't naturally fit anywhere else," listed alphabetically from abstract data type to zeldagon and zeugma, including figures of speech, inheritance (in classes), laws, prime ...more>> Henry Segerman's webpages - Henry Segerman Mathematical and typographical art "of various kinds and dimensions." See, in particular, Segerman's 3D printed sculpture, book covers and posters, diamond Go, ambigrams, autologlyphs, autological words, Escher's Printgallery, and math-art t-shirts available ...more>> Home Pages for Developing Courses - Mathematics Throughout the Curriculum, Indiana University Interdisciplinary courses under development and close to finished: Life Sciences (BioMath Problems, Mathematical Foundation for Speech and Hearing Sciences), Business and Economics (Games and Decision Making, Games for Business and Economics, Mathematics ...more>> Institute for Logic, Language and Computation (ILLC) - University of Amsterdam, The Netherlands An institute founded to further the scientific study of the structure, modification, and transmission of information. Currently, the groups participating in ILLC are based at the Faculty of Mathematics, Computer Science, Physics, and Astronomy, the Faculty ...more>> Language and Mathematics (Learning and Mathematics) - Cocking, Chipman; Math Forum In their 1989 paper, "Conceptual Issues Related to Mathematics Achievement of Language Minority Children," Cocking and Chipman examine the mathematical ability of language minority - particularly bilingual - students, attempting to identify linguistic ...more>> Linguistic Geometry (LG) - Boris Stilman; Dept. of Computer Science & Engineering, Univ. of Colorado-Denver Solving search problems of high dimension. Since 1991, Professor Stilman has been developing a new area in Artificial Intelligence, Linguistic Geometry, based on the investigation into sophisticated human heuristics resulting in highly selective searches, ...more>> Mathematics and Language - Tony Brown This paper considers the relation between mathematics and language, with particular reference to the work on language by Jacques Derrida. Brown examines how language functions in organising mental activity and suggests that since language is so fundamental ...more>> Mathematics as a Language - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny An essay defending the language of mathematics, including examples from plain English, linguistics, life sciences, physics and chemistry, and deliberate misuse, and math lingo: a bad meme virus. ...more>> MOL - The Association for Mathematics of Language - The Institute for Research in Cognitive Science, The University of Pennsylvania A special interest group of the Association for Computational Linguistics (ACL) that promotes work in all aspects of mathematical linguistics. Download or link to publications from annual meetings; contact authors and other members; subscribe to their ...more>> MSMS World of Logic - Claudia Carter; Mississippi School for Mathematics and Science (MSMS) MSMS Logic and Game Theory is a study of logic, symbolic notation, truth tables, simple game theory, and problem-solving strategies. Links to significant figures in the world of logic: Lewis Carroll, George Boole, Giuseppe Peano, Von Neuman, Willard Van ...more>> Numbers from 1 to 10 in Over 4000 Languages - Mark Rosenfelder Click on the map to move to the languages for that area, or select from: Indo-European, Dravidian, and minor European languages; Afro-Asiatic, Caucasian, Nilo-Saharan, Kordofanian, and Khoisan languages; Niger-Congo languages; Uralic, Altaic, Tai, Austro-Asiatic ...more>> Patterns in Mathematics (Teachers' Lab) - Annenberg Media This lab, based on the professional development series and workshops broadcast on the Annenberg/CPB Math and Science Project Channel, explores patterns as they occur in logic, numbers, and words, focusing on how to develop "function sense" without simply ...more>> Principles and Practice of Constraint Programming: Conferences - Department of Computing Science, Univ. of Alberta, B.C. Links to previous and future conferences concerned with all aspects of computing with constraints including: algorithms, applications, environments, languages, models, systems. Contributions are welcome from any discipline concerned with constraints, ...more>> Software's Origin - Ivars Peterson (MathTrek) Librarian Fred R. Shapiro of the Yale Law School in New Haven, Conn., searched for the word software among scholarly journals electronically archived in the JSTOR database and found that the term software used to describe computer programs dates back ...more>> Teachers' Lab - Annenberg Media Labs based on professional development series and workshops broadcast on the Annenberg/CPB Math and Science Project Channel. Each combines online activities with background information and interactive polls or worksheets for use in classrooms, with links ...more>> Teaching Logic and Reasoning in an Illogical World - DIMACS Symposium A July 1996 symposium: Participants, schedule, list of papers, and the papers themselves in html, ascii, or postscript. Sample papers: S. Maurer: Teaching reasoning, broadly and narrowly; C. Nelan: Student's attitude toward the relationship between language ...more>> Visual Modelling Group - University of Brighton This research group focuses on giving formal semantics to existing notations, developing new visual notations, and reasoning with them. The Visual Modelling Group has developed a constraint diagram notation that visually expresses mathematical constraints ...more>> Why 2001 Won't Be 2001 - Keith Devlin (Devlin's Angle) "It's a good story... But how realistic is the behavior of HAL? We don't yet have computers capable of genuinely independent thought, nor do we have computers we can converse with using ordinary language. True, there have been admirable advances in systems ...more>>

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