Question

The first six of Euclid’s definitions attempt to define the three undefined terms in geometry: points, lines, and planes. Do you think that these definitions are sufficient? Why or why not?

In your own words, summarize the meaning of the first six definitions.

Thank you!!

Answer 1

@jazzeejess I don't know what the first six definitions are in your text. In mine, the first definitions begin with space, collinear points, segment, ray, and so forth.

I disagree that Euclid intended to define his designated as undefined terms of point, line, and plane, by definitions of other terms such as those first six definitions referenced in your post.

Those first six definitions do not define anything other than what THEY are.

Point, Line, and Plane remains as the three undefined terms of Euclidean Geometry. Undefined means undefined. They are not defined by whatever the first six defined terms are in your text, my text, or anybody else's text.

The meaning of the first six definitions of terms in your text is whatever those terms are defined to be.