What is the ontological state of negative numbers?
Is it a human invention or a does it live with reality?
2026-03-29 06:02:29.1774764149
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How is it possible for something to be less then nothing?
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The modern view of mathematics is that of the axiomatic method. We don't care wether some concepts exist in some idealised plane of existence, we just define their properties in a matter that's unequivocal, and then proceed to derive further theorems based on certain rules of logical inference.
They can be seen as a pair of information; a magnitude (real, positive), together with a direction.