The Pessimist Sentences

Logic Level 2

For every n1n \geq 1, there is an nthn^\text{th} Pessimist sentence saying that not all later Pessimist sentences are true. For example, the 5th5^\text{th} Pessimist sentence says:

"For at least one m>5m > 5, the mthm^\text{th} Pessimist sentence is false."

Where tt and ff are the number of true and false Pessimist sentences, what is t+ft+f?

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