IRC:English:Post Your Question
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I hope that you have received my letter and essay in good condition. My name is Leo Gasparini, I am nineteen year old natural science student, currently living in Brazil. In 2004, when I was a mid school student at Escola Parque, I first came into contact with Set theory and I immediately felt a strong attraction for this part of mathematics. Since then I have dedicated a large part of my time to study the various subjects related to this theory, including Kurt Godel's Incompleteness Theorem.
For personal reasons I am moving to the Netherlands, and as I wish to continue my education I am writing you this letter in the hope of obtaining a scholarship to a university in Holland. The initial objective of my work was to highlight an error in Godel's Incompleteness theorem - I never liked the way it treats human mathematics, saying it to be inconsistent by nature. I always had a deep belief that there was something wrong.
However, to my own surprise, during the build of the ideas I went much further than pointing out an error in the Incompleteness Theorem. I found a way to treat the theorem with language that will free mathematics not only from problems such as the Incompleteness Theorem but also from other problems, such as Russell's Paradox. This theory exposed in my work, concludes that the so far known axiomatic method together with the linguistic paradoxes that derive from the axioms of this method can be dissolved if a simple theory of definition is applied respecting one fundamental criteria of this theory. However, in order for this theory to be developed in a complete manner it has proved necessary to clarify the process of language formation since its most radical pillar: the association between name and named thing. It was necessary to dive inside linguistic philosophy.
However, the essay sin many times in clarity of explanations throughout the paragraphs, perhaps the ideas are exposed in a very concise way. The essay, indeed, do not have exemplifications of ideas that are being introduced, such exemplifications would help a lot to make the reading of the essay more natural. However, despite those difficulties of comprehension, the ideas are right. The problem of inconsistency of axiomatic systems resides in the undefined nature of the axiomatic method. The theory of definition is an infallible way by nature of going round those problems of language.
With the essay done, I wrote a personal letter asking for a scholarship and admission, then I made copies of both letter and essay and put together one letter with one essay, which was titled Foundation of Mathematics, inside envelops and sent the envelops to the departments os mathematics at many universities from Holland. Since the date I sent them, only the universities of Groningen, Delft, Eindhoven and Vrije answered. The first three negatively, Eindhoven particularly gave me more attention and made use intensity adjectives to make it clear about the complete useless of my efforts, saying that my essay "makes it harder to consider you as a serious candidate for a scholarship in Eindhoven or elsewhere". In the other hand, Jasperina Furman from Vrije were extremely considerate, giving me information about the many aspects of the bachelor, including the language of instruction being dutch, and pointed me to the IB-Groep to do a formal request of the scholarship. Unfortunately the IB-Groep is just meant to people inside the Europe Union, which is not my case. The other six universities which I sent my request didn't answer anything. I am still without opportunities.
