Our resident expert on deterministic chaos theory, V. Paar, pops up on TV quite a bit. I remember seeing him once alongside a certain gentleman theologian—they were essentially debating at the epicenter of the Big Apple, eventually landing on this: science will never truly grasp the contents of the Big Bang, and theology will never definitively prove God. Then, to wrap things up, the theologian drops this line: "God was just playing around when He created the world!" When I heard that, I couldn't help but scoff—well, that's what I've been saying all along! *Homo ludens* is the creator, not *homo faber*. Honestly, shouldn't that be obvious to everyone, especially a philosopher?
The whole butterfly story within chaos theory is actually a matter of holism—or perhaps isomorphism, where in both cases, the tiniest, most insignificant bits or events mirror and amplify themselves, staying in constant correlation and interaction with the whole. Just as one flap of a butterfly's wing might trigger a tornado, a single diseased cell or one lone virus can bring down a massive organism made of billions of cells. Similarly, one virus-like individual could trigger the collapse and destruction of all humanity! Of course, I could list plenty of other examples to back this up—things like shifts caused by rising or falling temperatures, or even the connection between Nobel dynamite and the explosions during World War II, or a hydrogen bomb detonation. The point is, chaos theory is already being used universally, much like this English text states:
Chaos is defined as an extreme sensitivity to initial conditions; i.e., very simple expressions can lead to chaotic behavior. Examples of chaos include turbulence, weather, and biological populations. In fact, it can be found everywhere: in biology, astronomy, chemistry, engineering, medicine, business, etc.
But more importantly, any chaotic phenomenon, thought, or interpretation must be linked to fractal theory. And while fractal theory is essentially a subset of chaos theory, they act somewhat like two theories constantly pulling at each other's tails. In my view, any discussion regarding chaos theory is fundamentally flawed if it isn't connected to fractal theory, or vice versa.
It seems to me that many people completely misinterpret Lorenzo's metaphor: "In fact, it is coincidental that an appropriate example of small perturbations affecting the weather is that 'butterflies flapping their wings in Mexico may result in a tornado in Texas'."
It sounds challenging, sure, but you could argue that on that journey from Mexico to Texas, the butterfly is actually a fractal—constantly flapping its wings in place to generate a tornado, much like how termites in a mound flap their wings to create air currents (a sort of mini-tornado) at the top of the mound so the queen and the rest of the colony don't suffocate from the smoke. Among various definitions of chaos, I prefer this one:
Chaos is Dynamics with positive, but finite, metric entropy. The translation from math is: behavior that produces information (amplifies small uncertainties), but is not utterly unpredictable.
James Crutchfield, Santa Cruz collective
I choose this because it’s the only definition that treats a chaotic phenomenon as an AMPLIFIER of something small, tiny, or insignificant, which then multiplies to become significant, massive, and powerful.
The question is simply: who, or what, is the amplifier?
You surely know that deterministic chaos theory always goes hand-in-hand with fractal theory, because at the "bottom" of any chaotic phenomenon lies a fractal as the fundamental element of the chaotic field or state. And fractals represent order, not chaos. To put it visually: at the bottom of chaos is order, and at the bottom of order is chaos! Here is a text that captures that:
"Fractal Geometry plays two roles. It is the geometry of deterministic chaos and it can also describe the geometry of mountains, clouds and galaxies." - Benoit Mandelbrot.
Since I tend to communicate better through images than words, here is a classic example of a chaotic-fractal image: BEES, or perhaps a TERMITE MOUND! While bees are in a hive, they represent fractal order; however, while they are flying toward flowers, they are in a chaotic state—yet the bee itself is the fractal! This oscillation between fractal order and maximum chaos—or between maximum chaos and fractal order—is a scientific and philosophical reality. How that reality is interpreted depends, as you mentioned, on what we call philosophy or science. Here is a beautiful example of what interpretation actually looks like, which ties directly back to your question.
You probably already know the whole deal with the four elements—it’s basically woven into almost every intellectual tradition out there as a core philosophical concept: FIRE - WATER, AIR - EARTH, plus HOT - COLD and WET - DRY. For thousands of years, this was the go-to paradigm for both philosophy and science, at least until "modern science" rolled in and dismissed it as nothing more than the nonsense of Pythagoreans who spent their days swearing by the "sacred quaternary," or the tetractys. So, what’s actually left of that millennia-old legacy today? Instead of using terms like FIRE - WATER or AIR - EARTH, modern science swaps them out for the four states of matter and claims we have SOLID (earth), LIQUID (water), GAS (air), and PLASMA (fire). What really changed here? Honestly, just the labels—the underlying elements of the interpretation remain exactly the same. In this specific framework, chaos is associated with fire—that is, plasma—and moves along a spectrum from solid to liquid to gas to plasma, and vice versa, where fractals are linked to solids, meaning the path toward fractals goes plasma - gas - liquid - solid. Within this context, anything that heats up or absorbs energy is moving toward chaos, while everything releasing energy is moving toward the fractal order. So, where does that leave us, and what exactly are we doing right now?
Looking at the obvious reality we all live in, it’s pretty clear that we are absorbing energy directly from the Sun while simultaneously dumping our own energy back onto the Earth through all our activity. Because of this—much like how molecules in a pot of boiling water increase their kinetic energy—we are undoubtedly drifting toward maximum chaos; we are constantly ramping up our chaotic state. If you follow this logic to its conclusion, you should probably be panicking, because the implication is that we’re all eventually going to end up boiled or roasted, right? And if you factor in plasma temperatures reaching millions or even billions of degrees Celsius, the whole thing starts to feel a bit absurd. But then again, if you ask whether plasma is hot or cold, people start stuttering—because depending on how you interpret it, plasma can be either.
To wrap this up, let me give you an example. We all know the old cliché about change... that everything changes, that nothing stays the same, that everything is relative. The rate of change is accelerating, the speed of movement is skyrocketing, and so on. Now, imagine two tables—Table A for scientists and Table B for philosophers—where they are asked: "Ladies and gentlemen, do day and night, or morning and evening, actually change every single day?" Most people at both tables would likely roll their eyes and think, "What a pointless, stupid question." I mean, obviously, day, night, morning, and evening change because the Earth rotates on its axis and orbits the Sun. That’s the interpretation we’d all swear is the absolute truth, wouldn't we? Yet, I stumbled upon a completely contradictory take online claiming that nothing changes at all—that day, night, morning, and evening have been constants for millions of years. This view suggests it only *feels* like things are changing because *we* are the ones moving in relation to them, a concept that’s easy to swallow if you look at Earth from the perspective of the Sun. So, which interpretation holds water? What does the scientist say versus the philosopher? It’s a question looking for an answer, much like asking whether we are moving toward disorder or order—toward deterministic chaos or toward fractal theory.
My take? It all comes down to interpretation. Truth is whatever manages to encompass both sides simultaneously, and it seems we aren't quite ready for an interpretation like that yet. Or maybe we are? Are we ready to admit that we are collectively working to increase chaos, making the world and life itself more chaotic by the day? Someone might see that as a descent into tragedy, but I see it as a path toward life. Chaos is resistance—the opposite direction of entropy, the opposite of death. Therefore, chaos is inherent to life; it is its mode and its purpose. Viewing extreme chaos as a cause for panic is fine, I suppose—it makes for good philosophy!
The concept for a book isn't actually a bad one—not at all. If the themes are tightly structured and the dialogue stays engaging, you'd have something with actual staying power... maybe even enough to spark a little revival in philosophy itself.
So, here’s a thought I can't quite shake: what does science say versus what philosophy argues when it comes to bipolarity in the physics of the universe, and how does that mesh with biological bipolarity in living things? Is the world fundamentally monopolar, bipolar, tripolar, or even quadripolar?
