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Here is a model: Domain: {Alex, Ben, Carol, Diana} Referents: Diana b : Alex Extensions: {Alex, Ben} Y :

  1. Here is a model:

Domain: {Alex, Ben, Carol, Diana}

Referents: a: Diana b: Alex

Extensions: O: {Alex, Ben} : {Carol, Diana}

Is the proposition Oa ∨ ∃x(Ox ∧ Y x) true or false in this model? Explain your answer.


2.For the following argument, either produce a countermodel (thereby showing that the argument is invalid) or explain why there cannot be a countermodel (in which case the argument is valid):

xF x

xGx

∴ ∃x(FxGx)

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