The rise of Large Language Models (LLMs) has sparked a critical debate: are these systems capable of genuine psychological reasoning, or are they merely sophisticated mimics performing semantic pattern matching? New research, using sparse quantitative data to test LLMs' ability to reconstruct the "nomothetic network" (the complex correlational structure of human traits), provides compelling evidence for genuine abstraction. Researchers challenged various LLMs to predict an individual's responses on nine distinct psychological scales (like perceived stress or anxiety) using only minimal input: 20 scores from the individual's Big Five personality profile. The LLMs demonstrated remarkable zero-shot accuracy in capturing this human psychological structure, with inter-scale correlation patterns showing strong alignment with human data (R2>0.89). Crucially, the models did not simply replicate the existing psychological structure; they produced an idealized, amplified version of it. This structural amplification is quantified by a regression slope (k) significantly greater than 1.0 (e.g., k=1.42). This amplification effect proves the models use reasoning that transcends surface-level semantics. A dedicated Semantic Similarity baseline model failed to reproduce the amplification, yielding a coefficient close to k=1.0. This suggests that LLMs are not just retrieving facts or matching words; they are engaging in systematic abstraction. The mechanism for this idealization is a two-stage process: first, LLMs perform concept-driven information selection and compression, transforming the raw scores into a natural language personality summary. They prioritize abstract high-level factors (like Neuroticism) over specific low-level item details. Second, they reason from this compressed conceptual summary to generate predictions. In essence, structural amplification reveals that the AI is acting as an "idealized participant," filtering out the statistical noise inherent in human self-reports and systematically constructing a theory-consistent representation of Psychology. This makes LLMs powerful tools for psychological simulation and provides deep insight into their capacity for emergent reasoning