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Propositional truth tables:
There {X\t} is a substitution that replaces all occurances of variable X with a term representing an object t as:
By repeating this for all the quantifiers than we get a set of ground formulae in which we have to check that if the original sentence is true or false. But unfortunately, we don't have specified there that our domain Δ is finite - like in example we see that it may contain the natural numbers - but there may be a infinite number of sentences to check for a given model! So there may be also be an infinite number of models. And although we have a proper definition of model hence a proper semantics for first-order logic and we can't rely on having a finite number of models like we did where drawing propositional truth tables.
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Existential Introduction: Now if we have any sentence as, A, and variable, v, that does not occur in A, so then for any ground term, g, such occurs in A, than we can turn A in
#questionabut diffraction ..
Write the applications of Michelson interferometer
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