Logical Concepts: Consequence and Equivalence

The video tutorial explains the logical concepts of consequence and equivalence. It introduces logical consequence as a scenario where if statement A is true, then statement B is also true, represented by a double arrow symbol. Logical equivalence is when the consequence runs in both directions. The tutorial provides four examples to illustrate these concepts: Y and inequality, X and multiples, function and derivative, and even prime numbers. The video concludes by summarizing the differences between consequence and equivalence.

In the context of the examples given, when does logical consequence not run in the other direction?

What conclusion can be drawn about the relationship between the statements 'A is equal to 2' and 'A is an even prime number'?