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Turn this into a natural sound sentence ∼∃x (∼Ix ∧ Mx).

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User RyanW
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Final answer:

The logical expression ¬∃x (¬Ix ∧ Mx) translates to 'There is no number that is not irrational and also a number,' implying that all numbers are either rational or not a number.

Step-by-step explanation:

The given expression ¬∃x (¬Ix ∧ Mx) is a formal logical statement that can be translated into a natural language sentence. The symbols used here are from the domain of propositional logic or predicate logic. The symbol ¬ stands for 'not,' ∃ for 'there exists,' ∧ for 'and,' I could represent an attribute 'is irrational,' M could represent 'is a number,' and x is a variable that can refer to any object.

To turn this logical proposition into a natural-sounding sentence, we need to interpret the logical connectors and quantify properly. The sentence would read something like this: 'There does not exist an x such that x is not irrational and x is a number.' This can be simplified to a more natural expression: 'There is no number that is not irrational and also a number', meaning all numbers are either rational or not a number at all.

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User Chris Neitzer
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