Question

Consider two 'postulates' given below:

(m) There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent?
Do they follow from Euclid's postulates? Explain.​

Answer 1

Answer:

Says that the given two points A and B, there is a point C lying on the line in between them: (ii) There exists at least three points that are not on the same line It Says that given A and B, we can take C not lying on the line through A and B. Since both these postulates say different things ,these are consistent.