A conversation with Google’s AI, Gemini (referred to below as G)
Me: Why are some commentators stating that mathematics is undergoing its biggest change in history?
G. For centuries, math has been a “paper and pencil” discipline where proofs are written by humans and checked by other humans. We are currently shifting toward a paradigm where machines can not only verify human work with absolute certainty but are also beginning to generate original mathematical insights.
While some fear “cognitive atrophy” (the loss of human intuition) through AI driven mathematical “reasoning,” most experts see this as the “Steam Engine moment” for the mind—a tool that doesn’t replace mathematicians but allows them to build structures far larger than ever before.
Me: If AI has reached a point where it can “reason” using advanced mathematics, will it likely go on to extend this reasoning power to social, human questions, for instance this question: Given the history of the evolution of life on Earth, and human evolution in particular, does survival at the current human “tipping point” seem likely, or extinction, possibly to emerge as a newly evolved species?
G: As we move into 2026, the short answer is survival, but with a massive asterisk: AI is beginning to apply its reasoning to social and human questions, but it does so differently than it does with mathematics. In mathematics, “reasoning” means following a strictly defined path of logic where 1 + 1 always equals 2. In human questions—like your query about the “tipping point” of survival—AI doesn’t find a “correct” answer; instead, it performs multi-agent simulation and probabilistic forecasting.
While AI can reason through the logic of evolution, it lacks subjective stakes. The AI cares about being “correct” because the rules are fixed. The AI can tell you that “speciation via cybernetics” is a logical solution to climate change, but it cannot “feel” the loss of the human experience that might come with it.
Me: What if I asked you to consider the question using a strictly computational approach, such as this: Given the statistics on the history of survival of a particular species in its original form at a time of drastic and rapid change in its original environment, versus the statistics on a species in these circumstances that goes extinct or evolves into a new species fundamentally different from its predecessor, which scenario would you find more likely?
G: Taking a strictly computational approach strips away the emotion and treats the human “tipping point” as a stochastic process (a system evolved over time by random variables). If we model this using Population Viability Analysis (PVA) and the historical data of the “Big Five” mass extinctions, the math points toward a very specific set of outcomes.