How ISPs Violate the Laws of Mathematics

The video humorously explores a personal experience with an Internet service provider (ISP) that overcharged for services, using this scenario to illustrate violations of Zermelo-Fraenkel set theory axioms. The speaker discusses how the ISP's pricing and service bundling practices contradict several axioms, including set equality, set membership, and the axiom of infinity. Despite these violations, the speaker finds a resolution by negotiating a service option that aligns with their expectations, highlighting the importance of underlying axioms in determining truth in mathematics.

What does the first axiom of Zermelo-Fraenkel set theory state?

• Two sets are equal if they have the same elements.

• A set cannot be a member of itself.

• Every set has a subset.

• Sets can be combined into new sets.

How did the Internet provider violate the second axiom of Zermelo-Fraenkel set theory?

• By bundling services together.

• By offering different prices for the same service.

• By claiming a set can be a member of itself.

• By not allowing subsets to be formed.

What was the narrator's reaction to the manager's offer of Internet plus a router?

• They accepted the offer immediately.

• They asked to hold the router and were denied.

• They requested a different service.

• They were satisfied with the offer.

Which axiom is related to the concept of bundling services?

• Seventh axiom

• First axiom

• Third axiom

• Fifth axiom

What realization did the narrator have about the eighth axiom?

• It is irrelevant to the situation.

• It was violated, but logic can still prevail.

• It supports the provider's offers.

• It was not violated by the Internet provider.

What does the ninth axiom of Zermelo-Fraenkel set theory often relate to?

• The equality of sets.

• The formation of subsets.

• The concept of infinity.

• The combination of sets.

How did the narrator finally resolve the issue with the Internet provider?

• By switching providers.

• By accepting the initial offer.

• By negotiating a new deal without the router.

• By filing a complaint.