Explain SMBC — the wiki for Saturday Morning Breakfast Cereal

2011-04-08

2011-04-08 View on smbc-comics.com → 1 revision
2011-04-08
Votey panel for 2011-04-08
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This explanation is incomplete or may contain errors. It was generated by AI and has not yet been reviewed by a human editor.

Explanation

The comic poses the question "Can pi be expressed as a fraction?" and contrasts the responses of an "A+ Math Student" versus a "Future Mathematician." The A+ student gives a textbook-perfect answer, explaining that pi is irrational and therefore cannot be expressed as a ratio of two integers, citing Johann Lambert's 1761 proof.

The future mathematician, however, simply writes the symbol pi over 1 (pi/1), which is technically a fraction -- just not a ratio of two integers. The humor lies in the fact that while the A+ student dutifully recites the standard classroom answer, the future mathematician finds a clever loophole by exploiting the ambiguity of the word "fraction." Writing pi/1 is indeed a fraction in the literal sense of the notation, even though it does not satisfy the mathematical definition of a "rational number." The comic plays on the difference between pedantic technical correctness and the spirit of the question, suggesting that truly mathematical minds are drawn to subversive literalism.

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