Is Theorem 5 equivalent to the new axiom? Order Properties Undetioed Tern The woed i sod...
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Is Theorem 5 equivalent to the new axiom? Order Properties Undetioed Tern The woed i sod the e he po e pred the point y will not be defied Thi daed epein wil be weitte NA ta negation do ot peede will be witten set of all pointa, called the unival set, whih deotad S. In these notes, all peind seta hae at let one iemet. By olt lio the point y we mesn y A By ST Alo, y mena the polnte and y a the se pointa, bene sot difet pointa 1 Thers is & m that either <yor ZNy Axiom 1 (Aiom of And y are diferent pointa, then <yory<e J. Sias collection of polats h that ifa Axiom 2 (Asiom of point z precedes the point then z i not equal to Swa colection of pointa uch thatif the Axiom 3 (Aciom of and z are pointa such that z Sia collection of points uch that if z, ad y<a, then CE In case a minunderutanding peniats concerning the relationahip between "polnt," "point set," and S, let it be clear that, unles there inastipnistion to the contrary, that • point" always means a member of S. "point set" menns a nomempty set of pointa in S or a nonempty wubet of • Ss the universal set, that is, the set of all points. When we ascribe meanings for the undefioed terma ol our siom aystem auch that the axioms of our aystem are satisfiod, we have a model of the adom gatem Definition 3.If a point such that z<a, then z in said to be betweem EAnd A regkon isa point set Rsuch that there are pointa a nd where R- (=la<=<). We can represent the region of pointa between a and & by of region (a.b) the notation (a,6). We will call a and o the Is Theorem 5 equivalent to the new axiom? Order Properties Undetioed Tern The woed i sod the e he po e pred the point y will not be defied Thi daed epein wil be weitte NA ta negation do ot peede will be witten set of all pointa, called the unival set, whih deotad S. In these notes, all peind seta hae at let one iemet. By olt lio the point y we mesn y A By ST Alo, y mena the polnte and y a the se pointa, bene sot difet pointa 1 Thers is & m that either <yor ZNy Axiom 1 (Aiom of And y are diferent pointa, then <yory<e J. Sias collection of polats h that ifa Axiom 2 (Asiom of point z precedes the point then z i not equal to Swa colection of pointa uch thatif the Axiom 3 (Aciom of and z are pointa such that z Sia collection of points uch that if z, ad y<a, then CE In case a minunderutanding peniats concerning the relationahip between "polnt," "point set," and S, let it be clear that, unles there inastipnistion to the contrary, that • point" always means a member of S. "point set" menns a nomempty set of pointa in S or a nonempty wubet of • Ss the universal set, that is, the set of all points. When we ascribe meanings for the undefioed terma ol our siom aystem auch that the axioms of our aystem are satisfiod, we have a model of the adom gatem Definition 3.If a point such that z<a, then z in said to be betweem EAnd A regkon isa point set Rsuch that there are pointa a nd where R- (=la<=<). We can represent the region of pointa between a and & by of region (a.b) the notation (a,6). We will call a and o the
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Systems analysis and design
ISBN: 978-0136089162
8th Edition
Authors: kenneth e. kendall, julie e. kendall
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