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Use this tag for general questions about logic that are not categorizable under some more specific tag, like "mathematical logic", "informal logic", "classical logic", etc.

3 votes
1 answer
82 views

What part of a universal propositions is the antecedent?

The wiki article on vacuous truth says: a vacuous truth is a conditional or universal statement that is only true because the antecedent cannot be satisfied. I'm familiar with identifying the antece …
Slecker's user avatar
  • 171
1 vote
0 answers
39 views

Does the quantifier 'all' satisfy the definition of the quantifier 'some?'

Since 'some' means at least one and 'all' refers to an entire group of things then at least one member of that group is being referenced thus satisfying the definition of 'some,' right? If this is the …
Slecker's user avatar
  • 171
2 votes
1 answer
1k views

Does the Aristotelian standpoint agree with the Boolean standpoint on existential import whe...

According to the Boolean standpoint, it rejects the notion that a universal statement implies existence. For instance, the statement "all S are P" does not tell us whether or not any members of "S" ac …
Slecker's user avatar
  • 171
0 votes
0 answers
86 views

In the modern square of opposition are contradictory relations logically equivalent or not?

But I'm confused when my textbook (Patrick Hurley's A Concise Introduction to Logic, 12 e., pg. 216) says the statement ~A: "it is false that all S are P" makes the claim that "All S are P" is false and …
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