Thursday, November 20, 2025

AI, Math, and the Myth of Infinite Creativity

Is artificial intelligence on the verge of out-creating humans? A recent theoretical analysis suggests otherwise - and the reason lies in mathematics.

According to research by Professor David H. Cropley, large language models like ChatGPT are structurally limited to a level of creativity comparable to an average amateur. The constraint comes from how these systems work: they predict the next word based on probability. This creates a built-in tension between two essential ingredients of creativity - effectiveness and originality. 

Effective output uses words that make sense and fit the context. Original output surprises us. But in a probabilistic system, the more predictable and sensible a word choice is, the less novel it becomes. Push too far toward novelty, and the result turns incoherent. Cropley expresses this trade-off mathematically, showing that AI creativity peaks at just 0.25 on a scale of 0 to 1 - a ceiling that aligns with everyday, “little-c” creativity rather than professional or groundbreaking work.

This helps explain why AI often feels impressive to the general public: most human creativity sits at an average level, so a machine that replicates it appears skilled. But experienced artists, writers, and designers quickly notice the formulaic patterns. AI can mimic style and structure, but it cannot generate truly transformative ideas untethered from past data.

The takeaway is not that AI lacks value. On the contrary, it excels as a tool for efficiency, brainstorming, and support. But creativity, at its highest level, remains deeply human — driven by intuition, experience, and the ability to combine extreme originality with perfect execution.

Until AI evolves beyond statistical prediction into something fundamentally new, math itself suggests that the spark of true genius still belongs to us.

Cropley’s paper is valuable as a thought experiment, but its core flaw is this:
It treats a snapshot of current AI mechanics as a universal law of creativity.

The paper reduces creativity to a neat mathematical product:
Creativity = Effectiveness × Originality.
While elegant, this formula ignores widely accepted views in psychology that creativity is multi-dimensional, involving factors such as emotional impact, context, risk-taking, intent, meaning, and cultural value. By narrowing creativity to two variables, the model risks mistaking a convenient metric for the reality of creative processes.

Rather than proving AI cannot reach expert creativity, it primarily demonstrates that current large language models, under specific assumptions, cannot optimize novelty and effectiveness simultaneously. That is a far narrower conclusion than the one the paper implies.

The debate it raises is important - but the math may be more metaphor than destiny.


REFERENCES

“The Cat Sat on the …?” Why Generative AI Has Limited Creativity - Cropley - 2025 - The Journal of Creative Behavior - Wiley Online Library

A mathematical ceiling limits generative AI to amateur-level creativity

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AI, Math, and the Myth of Infinite Creativity

Is artificial intelligence on the verge of out-creating humans? A recent theoretical analysis suggests otherwise - and the reason lies in ma...