O que é DIMENSÃO? 2D, 3D, 4D… DIMENSÃO INFINITA?

What exactly is dimension? 1D, 2D, 3D, 4D, etc.? What does dimension really mean? Today, we'll talk about the mathematical concept of dimension and look at how it applies to some famous objects, such as a party balloon, planet Earth, spacetime, and a Klein bottle. We'll also discuss Whitney's Theorem, which states how many dimensions the ambient space needs to have to correctly represent an n-dimensional object. We'll also talk about some mysteries of the fourth dimension and "inexplicable powers" that higher-dimensional creatures would have in relation to lower-dimensional creatures. We'll also see what happens to volumes as dimension increases, and we'll also talk about infinite dimension and Riesz's Theorem: how do we know when we are in an infinite-dimensional space? Recommended Reading Flatland: A Novel of Many Dimensions (Edwin Abbott Abbott) https://amzn.to/3NMpbp8 Affiliate links: when you buy, a small percentage is returned to the channel without increasing the price for you Become a member and help me continue producing this type of content: https://www.youtube.com/temciencia/join Video about the 3-House Problem: 🔴 THE (almost) IMPOSSIBLE PROBLEM | The Three Houses Problem    • O PROBLEMA (quase) IMPOSSÍVEL | Problema d...   =========================================== Script, presentation and editing: Daniel Nunes My Instagram:   / tem.ciencia   =================================== ALSO WATCH: 🔴 TURING MACHINES and the Halting Problem    • MÁQUINAS DE TURING e o Problema da Parada   🔴 The Painter's Paradox EXPLAINED    • O Paradoxo do Pintor EXPLICADO   🔴 Our SURPRISING IGNORANCE About NUMBERS    • Nossa SURPREENDENTE IGNORÂNCIA Sobre os NÚ...   🔴 The INFINITE and the CONTINUUM HYPOTHESIS    • Os INFINITOS e a HIPÓTESE DO CONTÍNUO   🔴 GÖDEL'S INCOMPLETENESS: Mathematics is NOT Perfect    • INCOMPLETUDE DE GÖDEL: a Matemática NÃO é ...   🔴 THE PRISONER PROBLEM AND THE 100 HATS    • O PROBLEMA DOS PRISIONEIROS E OS 100 CHAPÉUS   🔴 THE HARDEST QUESTION IN GOOGLE HISTORY    • A QUESTÃO MAIS DIFÍCIL DA HISTÓRIA DO GOOGLE   🔴 WOULD YOU PASS AN AMAZON INTERVIEW? 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