KRISHI SEKSARIA and TIM HIRE “To infinity and beyond” - this classic line used by Disney’s ‘Buzz Lightyear’ character is known by children throughout the world, but is it mathematically true? Is there anything beyond infinity? What is infinity? To gain an understanding about such a mind-numbingly humongous concept (infinite in size!), we must first consider the original roots of infinity in the expansive history of mathematics to discover what the concept really represents. Our journey begins in the 5th Century BCE where, in Greece, the philosopher Anaximander coined the Latin term aperion (which has connotations of ‘indefinite’ or ‘undefined’ in modern-day translations) to represent his belief that the indefinite was the source of all things, perhaps stemming from the Ancient Greek’s fascination with the seemingly endless number of stars. However, such an abstract postulation generated conflict amongst the Greeks, as such an idea could not be rationalised within the boundaries of thei...
An Academic Blog for Watford Grammar School for Boys