Friday, November 20, 2009

Love Is In The Air

For my students, a little fun with logic. Consider the following syllogism. Does the conclusion (3) follow from the premises (1, 2)?

1) Everyone loves a lover;
2) John loves Jane;
3) Therefore, everyone loves everyone.

2 comments:

  1. To me it'd seem that 3) everyone loves John, and that for 3) to be true by those premises, 2) would have to read "everyone loves Jane." Or..?

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  2. There are some premises that are assumed. If John loves Jane, then John is a lover. If everyone loves a lover, then everyone loves John. If everyone loves John, then everyone is a lover. If everyone is a lover, then everyone loves everyone.

    Of course, this assumes that "love" means the same thing in each premise.

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