Quantum Formalism
All-in-Maths
The Mirage of “Enough Math” in AI
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The Mirage of “Enough Math” in AI

How oversimplified online teaching obscures the deeper mathematical foundations required for real innovation.

Hey QF Math Enthusiasts,

In our latest short podcast, we argue that while most introductory online math courses make AI accessible, they often oversimplify its true foundations. Mastery of basic linear algebra, calculus, and probability is not enough for serious engagement with modern AI research. Today’s advances draw on differential geometry, spectral graph theory, partial differential equations, abstract algebra, and algebraic topology, topics largely absent from standard curricula.

This reductionism limits theoretical understanding, narrows research directions, and stifles innovation. We advocate for richer and more integrated mathematical training in AI to foster deeper insights and future breakthroughs.

Catch the full episode on Substack, Spotify, or right on the QF Academy website.

Disclaimer: This is an experimental pod that leverages AI narration with the script written by humans. Of course, the narration occasionally goes off track due to technical nuances and LLM hallucinations. However, most of the time, it gets the technical content right.

Episode References/Credits

This episode draws on internal materials from our team, along with the following carefully curated open-access resource:

About Quantum Formalism (QF)

Contrary to the popular myth, mathematicians are not born, they are made. Just like bodybuilding, building mathematical strength takes dedication, consistency, and the right training environment. With the right guidance and support, you can go from hesitant to highly capable.

In fact, many great mathematicians struggled with mathematics in high school and only began to excel when they encountered university-level mathematics. This is because traditional high school education often relies heavily on memorising formulas, rather than focusing on first principles and the axiomatic approach that is emphasized at advanced levels.

What makes us different:

  • PhD-Level Rigour: Learn to think like mathematician with proof-based approaches to foundational topics such as linear algebra, differential equations, functional analysis, and differential geometry (modern approach)

  • Real-World Applications: Connect abstract theories directly to quantum computing, machine learning algorithms, and other emerging technologies

  • Outcomes Guarantee: we are the only e-learning platform that offers a 'Learn, Succeed, or Get Refunded' policy for anyone who completes one of our specialisation courses

  • Mathematical Proof Review and Ghostwriting (in the pipeline): will help you refine, structure, and strengthen the mathematical proofs in your papers, giving you complete confidence in their rigour and clarity

You can start your mathematical transformation today by joining our Quantum Formalism (QF) Academy to master advanced mathematical topics that will set you apart in AI and Quantum Computing. Choose from our Standard Plans or explore the newly introduced Flexible Bundles for greater flexibility.

Happy new week!

QF Academy team

Important note: From September 1, 2025, our new pricing will reflect the elite nature of our training, designed for those who are serious about mastering advanced mathematics for AI, quantum computing, and other frontier technologies. Learn more here.

If you have been considering joining, now is the moment. Secure your founding-member rate by subscribing to any of our plans above before it is gone and lock it in forever, as long as you keep your subscription active.

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