What does PBC mean in this video?

Conditions

• The context is a mathematical proof.
• The method involves assuming the negation of the target statement.

Reasoning, step by step

1. Identify the abbreviation "Pbc." written on the page.
2. Recognize that the speaker names the method as "proof by contradiction" and abbreviates it as PBC.
3. Understand that the method consists of assuming the opposite of the desired statement and deriving an inconsistency.

Example

The speaker says, "So we're going to use a proof by contradiction, PBC." The abbreviation "Pbc." is written on the page before the assumption line.

Common misconceptions

• Thinking that PBC refers to a specific theorem rather than a proof method.
• Confusing proof by contradiction with direct proof.

Watch the explanation

Explore next

• How does the video prove that there are infinitely many natural numbers?
• Why does constructing $x+1$ create a contradiction in the first proof?
• What exactly is assumed in the proof by contradiction for this theorem?