1. Mark each statement True or False. Justify each answer. (a) The Zermelo−Fraenkel axioms are widely accepted as a foundation for set theory. (b) Russell’s paradox conflicts with the axiom of...

1. Mark each statement True or False. Justify each answer.

(a) The Zermelo−Fraenkel axioms are widely accepted as a foundation for set theory.

(b) Russell’s paradox conflicts with the axiom of separation

2. Mark each statement True or False. Justify each answer.

(a) The axiom of regularity rules out the possibility that a set is a member of itself.

(b) The Banach−Tarski paradox uses the axiom of choice