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Note that your rule already has a condition of positive inputs. It's not surprising that for inputs satisfying an inequality, the result also satisfies one. A s
by tromp 6y ago
Note that your rule already has a condition of positive inputs. It's not surprising that for inputs satisfying an inequality, the result also satisfies one. A simpler example is: If I subtract 1 from a positive integer, is the result always positive? That also has an exception. That's all due to 1 being an exceptional (the smallest possible) positive integer. Similar to how 0 is an exceptional natural number.
- wcarey 6y agoRight - I was aiming for something analogous to your rule, which has the condition of even inputs. I do prefer your simpler example. Either way, I'm not sure your rhetorical strategy would be persuasive to someone who was unsure of the parity of zero (because, as you say, zero is an exceptional number).