Exploring Dimensions and Imagination
Introduction
Mathematics is a powerful tool for exploring the universe, and imagination is equally essential. For imagination to be valuable, it must align with scientific facts, allowing mathematics to enhance ideas by adding structure through mathematical logic.
In recent years, philosophy seems to have lost its way. Its contribution to science has been limited by the complexity of theories like String Theory and Relativity. Science fiction has almost stepped in to replace philosophy by proposing ideas that "might be real." While science fiction is often more engaging, it lacks discipline.
In what follows, I offer my perspective on reality, minimizing the need for deep mathematical arguments while leveraging advancements in mathematics and physics to imagine new possibilities.
Four and More Dimensions
Encouraging anyone to think in four dimensions is challenging. Mathematics helps us break this barrier, and through valid analogy, we can explore additional dimensions with our imagination.
"Sphereland" by Dionys Burgert is a fictional book that demonstrates how our perception of reality might be limited. I recommend this book as a way to address any lack of clarity in my explanations. However, I will attempt to share some thoughts to help you understand my ideas and biases.
Consider a point (.). If you existed within a point, you would be aware of nothing except your existence. If you existed on a line, you could travel from one end to the other. If that line were a circle, you could move forward indefinitely, unable to explain why you passed the same place repeatedly.
However, a person in two dimensions, such as on a flat plane, would easily understand why the circular line is repetitive. Similarly, the two-dimensional plane might be on the surface of a sphere, and a 2D person could not readily perceive a volume. They too would travel around and around without understanding. But then along comes a 3D person, spots the sphere, and sees the obvious reason for the motion.
Now here’s the thing: the environment of 4D!
To be continued but it may take a while for me to get my Ducks in a row and I need to acknowledge
the contributions made by persons in this Forum.
Introduction
Mathematics is a powerful tool for exploring the universe, and imagination is equally essential. For imagination to be valuable, it must align with scientific facts, allowing mathematics to enhance ideas by adding structure through mathematical logic.
In recent years, philosophy seems to have lost its way. Its contribution to science has been limited by the complexity of theories like String Theory and Relativity. Science fiction has almost stepped in to replace philosophy by proposing ideas that "might be real." While science fiction is often more engaging, it lacks discipline.
In what follows, I offer my perspective on reality, minimizing the need for deep mathematical arguments while leveraging advancements in mathematics and physics to imagine new possibilities.
Four and More Dimensions
Encouraging anyone to think in four dimensions is challenging. Mathematics helps us break this barrier, and through valid analogy, we can explore additional dimensions with our imagination.
"Sphereland" by Dionys Burgert is a fictional book that demonstrates how our perception of reality might be limited. I recommend this book as a way to address any lack of clarity in my explanations. However, I will attempt to share some thoughts to help you understand my ideas and biases.
Consider a point (.). If you existed within a point, you would be aware of nothing except your existence. If you existed on a line, you could travel from one end to the other. If that line were a circle, you could move forward indefinitely, unable to explain why you passed the same place repeatedly.
However, a person in two dimensions, such as on a flat plane, would easily understand why the circular line is repetitive. Similarly, the two-dimensional plane might be on the surface of a sphere, and a 2D person could not readily perceive a volume. They too would travel around and around without understanding. But then along comes a 3D person, spots the sphere, and sees the obvious reason for the motion.
Now here’s the thing: the environment of 4D!
To be continued but it may take a while for me to get my Ducks in a row and I need to acknowledge
the contributions made by persons in this Forum.
Facebook
Twitter
Instagram