¿Qué hay MÁS ALLÁ del INFINITO? Los Números Surreales

■ Support on Patreon:   / matesmike   ■ Channel Members:    / @matesmike   ■ Instagram: @mates.mike ■ Twitter: @mike_mates From a young age, we've been taught about numbers step by step. First, the natural numbers, those used for counting. Then the integers, including negative numbers. Next, the rational numbers, those that can be expressed as a fraction. And then the real numbers, those that cannot, like pi or Euler's number. And finally, perhaps, the complex numbers. As you can see, each set of numbers is contained within the next, so the question is clear. Is there another set that extends to all these numbers? Or, in other words, are there numbers beyond the real numbers? The answer is yes, there are many more numbers, and in this video we're going to look at one of them: surreal numbers, an extension of real numbers that allows us to work with infinities and infinitely small quantities. Hold on tight, because we're going to infinity, and far beyond. 00:00 Introduction 01:00 How Numbers Expand 02:56 Surreal Numbers 08:24 Infinities and Infinitesimals 13:18 A Few Problems ►► SOME VIDEOS: ► INFINITY SAGA:    • La Paradoja del Hotel Con Infinitos Huéspedes   ► FACTORIAL SAGA:    • ¿Qué es el Factorial en Matemáticas y para...   ► THE RIEMANN HYPOTHESIS:    • El Patrón de los Números Primos y la Hipót...   ► The Order of Factors DOES Change the Product:    • El Orden de los Factores SÍ altera el Prod...   ► How to Divide by Zero Without Collapsed:    • Cómo Dividir entre 0 sin Romper el Universo   ► Equations and Fractals:    • Cómo CREAR FRACTALES con POLINOMIOS | Mate...