d. Choose one amo ng the well- Ordering Principle, Zorns Lemma and Axiom of Choie. Then Own words or illustrote it vsing either desonike I disauss the chosen statement using your your oun original...


Please answer d, f, and g.


d. Choose one<br>amo ng<br>the well- Ordering Principle, Zorns Lemma and Axiom of Choie. Then<br>Own words or illustrote it vsing<br>either desonike I disauss the chosen statement using your<br>your oun<br>original example .<br>f. Consider the set<br>B- (N,E,P,Z,Q, Q', R', R,C f, where E 8 the set of all even numbers,<br>P s the set of all prime numbers, Q° is the set of all irahional numbers,<br>is the sed of all<br>pasitire real numbers, and Cs the Fet of all complex numbers. Define the partial order E<br>on B by the rule :<br>

Extracted text: d. Choose one amo ng the well- Ordering Principle, Zorns Lemma and Axiom of Choie. Then Own words or illustrote it vsing either desonike I disauss the chosen statement using your your oun original example . f. Consider the set B- (N,E,P,Z,Q, Q', R', R,C f, where E 8 the set of all even numbers, P s the set of all prime numbers, Q° is the set of all irahional numbers, is the sed of all pasitire real numbers, and Cs the Fet of all complex numbers. Define the partial order E on B by the rule : "X4Y if and only if xl lyl or Draw the lattice/poset drogram for (B, 5) Bricfly describe the Continuoum Hypothens. Also, tackle how it relates to the axioms of ZF set theory.
Consider the partial order

Extracted text: Consider the partial order "" on the set A. { Luffy, Zoro, Sanji , Chopper, Robin, Brook, Nami', Usopp. Franky, Jinbe } where lattice Luffy diagram is on the right Zoro Sanji Brook fronky Jinbe Robin Nami Usopp Chepper

Jun 04, 2022
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