The logician Saul Kripke was a prodigy. Although he supervised doctoral dissertations, his highest earned credential was a bachelor's degree, and he thought that had been a waste of time.
Jane O’Grady’s obituary, published Sept. 21, 2022 in The Guardian, contains this wonderful sentence:
At the age of three, he asked his mother if God really is everywhere, and if so whether he had, by walking into the kitchen, squeezed part of God out of it.
That is philosophy: the idea that all ideas have implications.
• Source: The obituary is at https://www.theguardian.com/world/2022/sep/21/saul-kripke-obituary.
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