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Actually, it's not true in mathematics either. A line is something which has one and only one dimension, and a point is something which has no dimension. A zero
by michael_fine 14y ago
Actually, it's not true in mathematics either. A line is something which has one and only one dimension, and a point is something which has no dimension. A zero length line would not be a line, as it would have fewer than one dimension. So, there is no such thing as a zero length line.
- Evbn 14y agoThere is no one true mathematics vocabulary. You don't appeal to authority, you just need to clearly state your assumptions and definitions. It is totally reasonable to define a line segment in a general way of two points that are not necessarily distinct, and point as a degenerate line. This makes the set of line segments topologically complete, which may be convenient.