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Compared to deep, abstract fields like mathematics, machine learning research is considered a "shallow domain." This makes it more amenable to AI-driven, brute-force iterative improvements (hill climbing) rather than requiring profound, hard-to-find conceptual breakthroughs.

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Today's AI boom is fueled by scaling computation, which is a known engineering challenge. The alternative, embedding nuanced, human-like inductive biases, is far harder as it requires a deep understanding of the problem space. This difficulty gap explains why massive models dominate AI development over more targeted, efficient ones—scaling is simply the more straightforward path.

The "bitter lesson" in AI research posits that methods leveraging massive computation scale better and ultimately win out over approaches that rely on human-designed domain knowledge or clever shortcuts, favoring scale over ingenuity.

Human progress is often slow because new paradigms only take hold when the proponents of old ones retire or die. AI eliminates this generational bottleneck. It enables learning and iteration at a machine pace, creating the equivalent of thousands of generations of progress in a short time, similar to how geneticists study fruit flies to observe rapid evolution.

Future AI-driven mathematical discoveries will likely follow two paths. One is finding 'lightning bolt' connections between existing, disparate fields (e.g., number theory and physics). The other, more profound path, is 'mountain building'—constructing entirely new theoretical frameworks, a skill signifying a much higher level of general intelligence.

Unlike more abstract domains, AI research is particularly suited for automation by AIs. The tasks are verifiable, allow for iterative improvement, and can be broken down into containerized environments for reinforcement learning.

Verifiability alone doesn't explain AI's rapid progress in math and coding. The key factor is 'grindability'—the ability to run thousands of parallel, containerized, and deterministic simulations. This allows for efficient credit assignment and learning, a luxury not available in domains like e-commerce or business strategy, which are constrained by real-world interactions and bot detectors.

Major advances like RL on Chain of Thought could have occurred earlier on less powerful models. The real bottleneck was often not the core concept but the mundane details of infrastructure, implementation, and hyperparameter tuning—tasks that AI labor can massively accelerate.

AI's key advantage isn't superior intelligence but the ability to brute-force enumerate and then rapidly filter a vast number of hypotheses against existing literature and data. This systematic, high-volume approach uncovers novel insights that intuition-driven human processes might miss.

In the AI era, the fundamental building block for companies isn't just a model, but a system that continuously learns and optimizes towards specific objectives and evaluations. Building this internal "hill climbing machine" is the new core IP for any enterprise.

We perceive complex math as a pinnacle of intelligence, but for AI, it may be an easier problem than tasks we find trivial. Like chess, which computers mastered decades ago, solving major math problems might not signify human-level reasoning but rather that the domain is surprisingly susceptible to computational approaches.