Identify what you can properly conclude from the given premises:
P: D → not AP: X–some–AC: ?
98765May 8, 2018
“Some†“more†contrapositives
Why do conditions attached to some not Turn into the contrapositive more In The explanations
but the conditions attached to more turn into the contrapositive some
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@98765 let's look at this in practical terms rather than in strictly formulaic terms.
If I have a bunch of tablet computers that can be gray and may be iPads. Gray tablets can be but are not necessarily iPads and vice versa.
If I say that SOME gray tablets are iPads (Gray-some-iPad) then at least one gray tablet is an iPad. It is also safe to say that at least one iPad is gray (iPad-some-Gray), but I cannot conclude that since Gray-some-iPad then iPad-most-Gray. It's possible that MOST of my iPads are gray, but you can't determine that by knowing that some of my gray tablets are iPads.
Does that help?
98765May 17, 2018
Im seeing this as, some of something is going to always be some of something and most of something is still some of it.
MehranMay 20, 2018
Hey @98765, thanks for your posts. Just one clarification/minor correction. The term "contrapositive" only applies to all/none statements - not to most/some statements.
