Summary of proposition
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Answer:
Let an argument be modally valid just in case, necessarily, if its premises are true, then its
conclusion is true. Propositions begins with the assumption that some arguments are
modally valid. Chapter 1—‘Propositions and Modal Validity’—argues that the premises
and conclusions of modally valid arguments exist necessarily, have their truth conditions
essentially, and are the fundamental bearers of truth and falsity. Again, some arguments
are modally valid. So there are the premises and conclusions of modally valid arguments.
So there are necessarily existing fundamental bearers of truth and falsity that have their
truth conditions essentially. I shall call these entities ‘propositions’. So there are
propositions.
Chapter 1 argues that the premises and conclusions of modally valid arguments
are propositions (not sentences). Chapter 2—‘Logical Validity and Modal Validity’—
argues that the premises and conclusions of logically valid arguments are sentences (not
propositions). Chapter 2 also argues that modally valid arguments cannot be supplanted
by logically valid arguments, thus buttressing Chapter 1’s argument for the existence of
propositions. In fact, Chapter 2 defends the claim that an argument is logically valid only
if the sentences that are its premises and conclusion express propositions that are
themselves the premises and conclusion of a modally valid argument. And Chapter 2
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