We examine the underlying causes of accidents and the extent to which they can be anticipated or prevented. We then turn to the subjective experience of being in such accidents, as well as the broader social responses, often marked by indifference or a lack of empathy toward victims. Further, we consider the question of responsibility: whether individuals can reasonably be held accountable for every accident, or whether responsibility should be evaluated in light of their knowledge and circumstances. We conclude by reflecting on the inevitability of accidents, asking whether this renders an unattainable Utopia, and what, if anything, might be done to transform the reality we inhabit.
We start our episode by acknowledging how the term “laws” subconsciously affects us into thinking they are constructible and engineered entities such as governmental laws which shows how much role language and framing play in our thought processes. Then, we introduce a few thought experiments to demonstrate that the laws might arise from preventing these paradoxes from occurring rather than them being engineered. We dive even deeper into questioning why the Universe follows logic at all and what the world would look like if there were no laws governing the Universe. We go back to the question of how many laws are governing the Universe and whether they are even quantifiable. We also question if we can continue to ask “why” to every natural phenomenon and whether they would imply that there are an infinite number of laws. In addition, we question if the laws of the Universe are finite, research will ever stop and what life after Truth would be like. To understand the essence of the laws of nature better, we investigate how we come to understand mathematical and physical laws as well as the constants. We introduce a “blind mathematician” thought experiment and try to analyze whether it’s possible to intuitively understand mathematical or even physical concepts while having no observation or empirical data of the world. Furthermore, we question if the laws of physics, such as Maxwell’s equations, could be derived without experimentation and purely from mathematical concepts. We also question if there were to be two different sets of laws that are derivable/underivable with imagination and logic only, this would give distinction to the laws of mathematics and physics. Finally, we scrutinize the essence of mathematical and physical constants and whether it is possible to make physical constants dimensionless and more “fundamental” like mathematical constants. (ex. setting the permittivity of free space equal to 1 to make the mathematical value of electric flux equal to only the charge enclosed) We conclude that because the units are constructed, the “realness” in physics is focused on the proportion rather than the numbers and the exact values. We also explore how these mathematical and physical constants are related to each other and whether we can count the number of them. We end off by introducing a hypothesis such as a variable speed of light and what the social impact the change of fundamental constants would have and how we should address them if they ever occur.
Edit: Only after tracing this path did we realize later that we have been discussing the frameworks of rationalism and empiricism without naming them and the motivation behind natural units in physics.
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"