He was captivated by numbers and abstract structures and the examination of their properties and patterns using logical operations. He did not only engage in numbers on an abstract level, but he also dedicated himself to the exploration and understanding of spatial relations, the geometry of surfaces and spaces, fascinated by rigorous scientific methods. Clear structures also form the basis of his work as a painter. He plays with numbers and their combination in arithmetic and their function in representing proportions.
According to Ryo Kato, there is a clear analogy between mathematics and art in the sense that the combination of single elements yields a result which has the quality of something novel.
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The board game Go is one of the oldest strategy games. The game makes exceptionally high demands on logical strategic thinking and visuospatial imagery. Using black and white playing pieces, two opponents take turns to mark positions on the board, aiming to create clever spatial patterns. The player who eventually dominates a larger total area on the board wins the game.
At any stage during the course of the game, the player has to keep track of both the overall status and the positions of local spatial patterns in order to dominate the game. For the artist and Go player Ryo Kato, the canvas is similar to the board. Initially there are a number of independent single elements and spatial subregions which interact during the course of the painting process to form a unique superordinate visuospatial pattern.
The complexity of Go and its affinity to algorithms is exceptionally high. The number of possible moves is several orders of magnitude higher compared to chess. While computer programmes have been superior to chess grandmasters for several years, a software was able to beat a leading international Go player only a year ago.
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When Fernando Tarallo came to Brazil to collect data, during his PhD in Pennsylvania, he read an article of mine on the individual variation on relative clauses in BP, in which I posed an implicational hypothesis between the variation in the relative clauses and in the overall pronominal system.
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Tarallo decided to test this hypothesis empirically and diachronically and he found a statistical confirmation of its main points, namely, that a BP lost the case-marked relative pronouns and developed the chopping relative along with the resumptive relative clause and b that chopping relatives correlated with the increase of null objects.
Excited by our first experience, the first question he asked me was whether I had some new hypotheses to test. It happened that I had. It had to do with the loss of the indefinite "se" construction in BP. We wrote a paper together which was also a successful enterprise combining formal hypothesis and empirical data cf.
yoku-nemureru.com/wp-content/how-to/2977-kik-tracker-for.php However, when we first presented the paper to a Brazilian audience, we were attacked by both generativists and variationists, who claimed we were heretic linguists. A diachronic project was then planned. UPenn was a good example to follow, since Anthony Kroch and collaborators did exactly what we intended to do, namely, study old corpora using a formal grammar.
Generativists could not criticize us since we could not use the intuition of deceased people. Positive data was the only source in the judgement of grammaticality. No negative evidence could be used. Moreover, what was interesting to observe was that immersion in old corpus often made the researchers act as competent native speakers of the language of the period. It is quite exhaustive in topics as it covers from the realization and position of arguments, position of clitics, wh -constructions, agreement, possessive pronouns, periphrastic forms, besides two classical diachronic articles by Fernando Tarallo, in which he discusses the possible causes for the changes that gave birth to a new grammar: Brazilian Portuguese.
With the prestige acquired with the ongoing diachronic project, Fernando and I start a project on the grammar of synchronic oral corpora the NURC, i. Should we sanitize the corpus the way Fries, the structuralist, did in the establishment of the English sentence patterns? We decided not to, as most studies on Brazilian Portuguese SBP are methodologically limited in that they provide a partial and idealized transcription of the data, being based only on portions of the corpus that are relevant for a specific syntactic or discursive phenomenon.
The project had, therefore, the daring aim of studying how the syntax of predication and complementation integrated syntactic adjuncts and how these elements interacted with discursive ones. Thus, while in the diachronic project, the emphasis was basically on the expression and position of arguments, or the syntax of the main constituents of the sentence, the main object of the SBP project was adjunction. We are using data from written language, but trying to cover different "genres", like newspaper editorials, letters from readers, interviews, plays and novels.
In this project, besides formal syntacticians, we also have formal semanticists. Many of the topics are being dealt with in co-authorship by both Portuguese and Brazilian linguists.