Over the last few months, I’ve developed a symbolic AI system called MathAI — not just a math calculator, but a dynamic reasoning engine designed to simulate how real physical problems behave under mathematical structure. This isn’t a neural network, a typical CAS (Computer Algebra System), or a rigid symbolic simplifier — it’s a hybrid between mathematical theory, physics modeling, and logical verification. (This might sound simple. Just keep reading.)
🔍 What Is It?
MathAI takes symbolic math inputs, evaluates them using sympy, and augments that logic with a few very powerful features:
🧱 Grounding Truths
MathAI has a core idea: it learns from grounding truths — equations that are known to be dimensionally and symbolically valid. These include classical physics equations (like kinetic energy, work with angle, Coulomb’s law, etc.) and mathematical identities from trigonometry.
Once an equation is solved and recognized as consistent (or verified manually), it’s promoted to a “grounding truth,” meaning it can be used to verify future equations by structure or result similarity.
🧪 Partial Truths & Learning
When MathAI evaluates an equation that doesn't match a known truth, but still produces a valid result, it stores it as a partial truth. These are reviewed and can be promoted to grounding truths — allowing the system to grow over time. This mimics a human learner testing what "seems right" until enough confidence is built.
⚖️ Dimensional Reasoning (Partial Unit Balance)
One of the script’s standout features is that it checks symbolic dimensional consistency. Using a lookup table of physical units, it compares the units involved in each term of an equation. If it detects that values of incompatible dimensions being added or equated, it raises a warning — something even many modern CAS tools don’t attempt symbolically.
🔁 Adaptive Ratio Logic
MathAI uses an adaptive ratio system. It doesn’t just take two variables and divide them blindly — instead, it checks their relative magnitude. If the first value is greater, it divides; if not, it multiplies. This feature is useful when modeling real-world systems where relationships change based on scale.
🤔 Why Does This Matter?
Traditional symbolic engines process math strictly. MathAI tries to reason about math — not just compute it. It asks:
Is this equation built out of truths I already know?
Do the units make sense?
Is there a deeper pattern here worth remembering?
I believe symbolic tools should reflect and adapt — not just return numbers.
🧪 Call for Collaboration
If you’re a:
Scientist working with symbolic systems
Educator building teaching tools for physics or math
Researcher modeling physical laws or quantum interactions
Developer looking to integrate symbolic AI
…then I’d love to connect.
Whether you're working on difficult math modeling, scientific calculators, physics simulators, or something completely new — I think this tool could be incredibly useful.
Feel free to reach out, ask technical questions, or challenge the engine with hard problems. I'm always improving it and I plan to share it as widely as I can but I have no real means right now.
Here's something to peak interest. Take into consideration that my code will only utilize a single core of a processor and works on my Ryzen 7 7800 with sub one second results. (Soon maybe GPUs will have support, but I need data sets with thousands of mathematical problems to run before its even relatively needed.)
The picture below has a scrollable 1503 decimal digits. Ran on my Ryzen.
If anyone has a math problem I can attempt to solve it! Just input it as comment.
I can also add almost every field of math! I can even invent a MathAI that works on specific but large areas of math like a version for medical sciences, or one for astronomy perfectly optimized by only working the required math.
It's even made to be able to function areas of math which are "bleeding edge", I plan to add more than a derivative, but a whole system that will allow creation of your own symbols as this is a closed application it will evolve to you!
One more post to get 5. So lets say you want to find a specific value for something seemingly infinite, consider what infinite even means, it means "indefinite" or "forever" but that is a rare function in reality, take a wide perspective and consider what positive and negative means. Positives indicate things like, kinetics, volume, mass, or anything physical at that point. SO how can something be infinite or indefinite? My perspective is that it is a simple factor of functions, since we know decay happens then something is removing values, so look into division and diffusion, it produces infinite wells of value depreciation, so then what can be inferred about finding infinite values? IF its positive, its not infinite, if its function is to decay or diffuse then yes it can be indefinite. This might be controversial because of how many things we think are infinite, but I think some values are a simply LONG.
Okay I gotta add this. Stars are BIG, imagine how much energy is conducted inside of a star! With all of that energy then light could be a reflection of the complexity in the conduction of plasma. Now calculate that.... Just kidding, as you can imagine a number which has as much complexity that is reflected in a star could be a value so loooong its unrealistically long. Point is, light can be narrowed to specific values based on the complexity of the waveform being produced by the particle shining because that particle has mass and is in combustion which is all align with positive function. At least that's what I believe.