On Maths

I’ve entitled my speech on Maths. So I’ll speak on Mathematics but don’t worry I won’t talk shop. I’ve split my talk into three parts. Firstly I’ll try to answer the question “what is Mathematics? “. Secondly I’ll speak about the origin of Maths and its current situation. Finally I’ll show that Mathematics is connected with Magic.
What is Mathematics? At first glance we think of Maths as a science dealing with numbers and complicated calculations that only a handful of people can understand. In my opinion, Mathematics is much more than that. When you are seeking the solution of a problem you need to use a variety of intellectual skills: you have to understand the data, look for a relation between them and design a procedure to achieve the solution. All these abilities are essential in education and so, in this sense, Maths goes beyond simple calculations. Also I’d like to say that Maths is the language of Nature. In fact when we want to represent the world around us we necessarily have to use maths. Physics, Chemistry, Medicine use Mathematics.
What is the origin of Maths? At the beginning people needed to count: they needed to count days, animals, possessions, etc. and they invented the numbers. Over the years human beings faced more complex problems and new concepts were necessary. Although the ancient Greeks drew on the ideas of various earlier civilizations, they established the basis of our mathematics. They posed and solved a big amount of problems. One of them they couldn’t solve is known under the name of “squaring the circle”. I’ll talk about it for two reasons. On one hand because it was the origin of one of the most famous numbers, the number pi. On the other hand because this expression is sometimes used in normal conversations and I’m not sure that everyone knows what it means.
The Greeks could calculate the area of simple geometric figures such as squares, rectangles or triangles but they didn’t know how to obtain areas of circles. In order to find the solution they tried to fill up a circle given with simple polygons. This method is known as “squaring the circle” but they couldn’t square circles. Even more, in the nineteenth century Ferdinand von Lindemann proved that circles couldn’t be squared.
What is the situation of Mathematics at present? In the nineteenth and twentieth centuries Mathematics had a huge development. New abstract theories were brought out but Maths had a collapse mainly for two reasons. Firstly, these theories could be understood for only very few people. Secondly mathematicians were considered to be out of real life because most new concepts were totally useless.
Due to computers the situation completely changed and Mathematics blossomed again. A branch of Mathematics known as Numerical Analysis has played a predominant role in the world of Maths and we can say that Maths are present in almost every aspect of real life. I think the future has in store a privileged place for Mathematicians.
Finally I’ll try to show you that Maths is connected with Magic. Cut a long rectangle from a piece of paper and draw a line splitting it into two parts. Join its ends after twisting it 180 degrees. With a pair of scissors cut the strip along the line. You won’t get two strips, you’ll get one longer strip. This surface is known as “Möbius strip” or “Mobius band” and is has an interesting property: it has only one face.
And now a mixture of Maths, chocolate and magic. Think of the number of times you felt like eating chocolate last week, a number between 1 and 9. Multiply by 2. Add 5 and multiply by 50. Add 1757 if you have celebrated your birthday this year. Add 1756 if no. Finally subtract the year of your birth. You get a three figure number. The first figure on the left is the number of time you felt like eating chocolate last week. The other two figures is the answer to the question how old are you?
José Ángel





