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Showing 1 to 2 of 2 for “"Cut proposition"”.
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Concerning the Dedekind Cut Proposition.
… purpose of this thesis is to prove the Dedekind Cut Proposition using two axioms and a few basic definitions. The Dedekind Cut Proposition states that if H and K are two subsets of the arc AB such that each point of AB belongs to H or K in the order from A to B on AB, then either H has a last …
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Concerning the Dedekind Cut Proposition.
The symbol S will denote the set to which P belongs if and only if P is a point.The statement that the collection G of point sets covers the point set M means that if P is a point of M, then P belongs to some set of the collection G.