In Rio with Victor, May 2004 |
On Friday, May 21st 2004, Victor Giraldo defended his PhD thesis at Universidade Federal do Rio De Janeiro. David, as his advisor was a member of his committee and therefore was present to pass the verdict as one of a jury of seven. Victor gave a lecture on his thesis and passed with flying colours. The celebrations followed at the Majorica Restaurant.
Arrival in Rio. |
Sue’s morning exercise on Copacabana beach. |
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David’s exercise |
By Sugar Loaf with Victor and Beth |
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David’s first task was to present a seminar on ‘Proof in Three Worlds of Mathematics’ (with simultaneous translation into Portuguese by Victor) at the Universidade do Estado do Rio De Janeiro: | ||||
Demonstrações nos Três Mundos da Matemática Professor David Tall
Esta palestra considera o crescimento cognitivo de demonstrações em indivíduos e sugere que este crescimento ocorre em três mundos distintos de construção mental, e em cada mundo há uma concepção diferente para provas. O primeiro mundo está relacionado com nossas percepções e coisas são verdadeiras porque são vistas como sendo verdadeiras. Este mundo conceitualmente corporal pode se desenvolver através de crescente sofisticação para levar à necessidade de provas verbais para descrever geometrias euclideanas ou estruturas mais avançadas. O segundo mundo surge de nossas ações: contagem, mensuração, cálculos e provas ocorrem através da operação e manipulação de símbolos que evocam tanto processos quanto conceitos: o que eu chamo de mundo simbólico- proceitoal. O terceiro mundo, axiomático-formal, é um mundo de propriedades que são formuladas como axiomas e definições onde prova é feita por meio de deduções formais. |
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However, the main purpose of the visit was to attend the Doctoral Examination of Victor Giraldo: | ||||
Nelson Maculan, the Brazilian Secretary of State for Higher Education, is Chairman of Victor’s PhD Examination Committee. |
Victor presents his thesis to the Committee and a room full of academics. |
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He is pleased to quote Henri Poincaré to illustrate his argument. |
The committee says YES to Dr Victor Giraldo. (Left to right, standing: Luiz Carlos Guimarães, David Tall, Victor, Nelson Maculan, Maria Laura, Luiz Mariano Carvalho; Front: Lulu Healy, Beth Belfort. |
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Victor is pleased he is now doctored. |
His fans fight to congratulate him first. |
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Celebrations begin at the Marjorica Restaurant ... |
... with family and friends ... |
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Luiz Guimarães ... |
Victor with David and Lulu Healy. |
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Victor with Professor Maria Laura aged 85 and still going strong. |
Victor and his mum! |
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The morning after on Copacabana with Sue, David, Victor, Marcia Pinto, Victor’s flatmate, Lulu, Beth. |
David exercises by the sea with the Cariocas. |
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Sue goes to market. |
View from our flat, one block from Copacabana Beach. |
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One last view from Rio, overlooking the lagoon ... |