The Lottery Paradox

The Lottery Paradox

Given a 1 out of 1,000,000 ticket has a high probability of losing, it seems rational to believe all tickets will lose, but exactly one ticket wins, then those two sentences cannot be true or believed at the same time

Justified-true-belief Analysis of Knowledge

To know something you must believe it, you cannot know something yet not believe it

Gettier Cases

Cases where there is a justified true belief but still doesn’t know it (JTB isn’t enough to describe knowledge)

Principle of Certainty

If someone knows something, they must be certain of it

Principle of High Probability

Likely to be true but not certain

Closure Principle

If you know a proposition P, and you know that P logically entails Q, then you also know Q

Conjunction Principle

If you know P and Q, then you must know P^Q