Calculus and Above

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Hello! I Hope this is...

Hello! I Hope this is the right category. The following is a mathematical logic question that is been bugging me for awhile: How long a list of non-equivalent pure monadic schemata containing only the predicate letters “F” and “G” is there?

Relevant information: By pure monadic I mean that you take any open one variable schema, such as Fx V Gx, and place a one quantifier in front of it to bound the variable, x in this case. So the above could become (∃x)(Fx V Gx), which is pure monadic. So, there can’t be any open sentence, there can only be one variable, and thus one quantifier ranging who scope is the entire schema.

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