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Maybe. Consider for example Hossack (2020) Knowledge and Philosophy of Number. He indeed lays out a framework in which negative "numbers" aren't considered numb
by garmain 5y ago
Maybe. Consider for example Hossack (2020) Knowledge and Philosophy of Number. He indeed lays out a framework in which negative "numbers" aren't considered numbers, precisely because negative numbers combine a magnitude with a direction.
- Jtsummers 5y agoLet's throw out every textbook and start over, then.
- garmain 5y agoMaybe we should. Irrespective of any concerns on the philosophical underpinnings of mathematics, there is an active discourse on the shortcomings of pedagogical resources. See for example Hung-Hsi Wu and his negative view of "Textbook School Mathematics (TSM)". His critique is aimed at the US. I am unfamiliar with any cohesive argumentation across for example European curricula.