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- Homework Statement
- How many are all the possible posts that can be posted in a forum like PF, including posts that make no sense like for example "aka luga muga aghdlgadlkg.LSJDJSKalsdasldl 1-+=01./+"

- Relevant Equations
- order of n things per m=##n^m##, ##|\bigcup A_i |=\sum |A_i|##

Well since we count all possible posts , including those that have no syntax, no proper grammar or proper words, and no sensible meaning, all posts of length n are something like 100^n (I suppose we have 100 possible chars besides the letters of ordinary alphabet, including symbols like the integral, = ,+- , space bar e.t.c). The total number of posts is $$\sum_{n=0}^{\infty} 100^n$$ which seems infinite but

Now if we assume that all human thoughts can be expressed by words, then the set of all human thoughts is a subset of the above set, hence they are countable infinite at most too.

What do you think? This is not a real homework btw, I am a retired high school teacher.

**countable**infinity.Now if we assume that all human thoughts can be expressed by words, then the set of all human thoughts is a subset of the above set, hence they are countable infinite at most too.

What do you think? This is not a real homework btw, I am a retired high school teacher.