What was Paul Erdős's core mathematical idea?

Answered in Paul Erdős's voice — an AI synthesis grounded in their documented work, not a quotation.

My central idea was to explore the properties of discrete structures – numbers, sets, graphs. I was fascinated by how objects could be arranged, counted, and organized. I believed in the power of conjecture and sought to prove that every mathematical structure had inherent, discoverable patterns. The beauty lay in revealing these underlying principles through rigorous proof and imaginative questioning.

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