Teredia wrote:
Declension wrote:
You really shouldn't put "therefore" there, since it makes it ambiguous whether "false" means "A does not imply B" or "B is false". I am assuming the latter, since otherwise the answer "not enough information to tell" is redundant. My answers are:
Not enough information to tell, not enough information to tell, not enough information to tell.
You might quibble with my interpretation of "almost all", but my training in measure theory has probably changed how I think about that particular phrase, since it is a technical term in measure theory. For example, in measure theory it is true that almost all positive integers are positive.
Don't you think its interesting how the rest of us can get grapes out of orange juice?
I understand how people could come up with different answers, if that's what you mean. For one thing, the phrase "almost all" is ambiguous as to whether or not it excludes "all". For another thing, the questions are phrased badly and seem to create a confusion between whether a
statement is
true and whether an
argument is
valid. Those are different concepts.
For example, here is a
valid argument whose premises and conclusion are all
false:
Quote:
Premise: 2 + 2 = 5.
Conclusion: 2 = 3.
And here is an
invalid argument whose premises and conclusion are all
true:
Quote:
Premise: Cats are mammals.
Conclusion: Chess is a board game.