Problem
1. Explain under which circumstances the sentence 'Misha is a cat' is meaningful?
2. Explain under which circumstances the sentence 'Misha is a cat' is true
3. Explain under which circumstances the sentence 'Misha is a cat' carries information
4. What does it mean to say 'I know that Misha is a cat'
5. What does it mean to say 'I believe that Misha is a cat'
6. How many bits of information are in the true sentence "the coin is face up."?
7. How many bits of information are in the sentence "the coin is face up or face down."?
8. How many bits of information are in the sentence "the coin is face up and face down."?
9. Which of the true sentences "the dice has the number 1 on top." and "the dice has an odd number on top." has more information? Explain why?
10. How many bits of information are in the true sentence "the dice has an odd or an even number on top."?