Vacuously True Statements

Learning Objectives: Determine when a conditional

http://gametheory101.com/courses/logic-101/ By definition, implications are

An explication of what is meant by

In set theory there is a technicality involving something called the empty set that lets us say seemingly false

The empty set - a set with nothing in it - is a bit of a weird mathematical object. We play around with it a bit, investigating the set ...

Here we prove a conditional is

In this video I explain how

True

What happens when the antecedant of a universal conditional

This proof is referenced from "An Introduction to Formal Logic" by forallx: Calgary. You can construct this proof yourself at: ...

This video is part of the “Proofs in Logic” playlist of my channel Thanks and enjoy the video! Proofs in Logic Playlist: ...

... forms with the premises all

Always false and so the entire

Predicate logic.

We prove that a conditional

Learning Objectives: 1) Interpret sentences as being conditional

Proving a

Vacuously true statements

When the "If" part of a

TRIVIAL PROOF