ft. Ben Rosenfield / Does infinity exist in the physical world? If not, why does it exist mathematically? Are there different levels to infinity? What are the similarities and differences between zero, one, infinity, and negative infinity? We run through a number of thought experiments to explore the nature of infinity in both the physical world and the mathematical world.

3rd part of “Is Math Invented or Discovered?”; We discuss how we can approach the questions of why the laws of nature have to be the way they are by analyzing the essence of empirical and logical truths. We also discuss whether the constants and patterns that appear random to us must emerge simply due to their necessity. By trying to analyze the essence of “brute facts”, we approach whether the obvious truths that must be true in our world are, in fact, empirical truths such as the Taylor series for trigonometric functions that dictate the fundamental structure of physical reality. We question if our epistemological view, in believing that those "brute facts" being trivial and undeniable, is wrong by introducing a possibility that our thoughts were programmed to think of thoughts that are only logically possible in our specific Universe(ex: how we can’t imagine a circle where its value of pi is not approximately 3.14). We also question whether logic, in its fundamental essence, contains the traits of order and elegance or if the Creator designed the Universe that allowed the emergence of ordered and elegant patterns that must follow due to his logical system. We also consider the possibility of the emergence of order that was deduced from logic being an illusion and whether there is a confusion in our language. Finally, we discuss whether the “laws” of the Universe must exist if there’s only one way for any metaphysical Universe can turn out or if those laws could’ve been different(and if so, whether they would’ve still contained the traits of order and elegance).

P.S. take a shot every time Luke says "logic"