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Logical Conditional

Logical Conditional (->)

What I currently know:

  • To check: Is it a truth function?

‘a -> b’ : if a is true, then b will always be true

! ( b ^ !a) => ! b OR a => a OR !b (how to intuit this?)

To check: when we write a statement such as ‘a OR !b’ do we mean that this statement is true by default?

  • To check: does this imply ‘causation’?

  • debated.

  • To check: a -> b , to decide the truth value, to figure out if ‘a -> b’ is true, we need to check that it makes sense in any possible world’

  • To check: is a the premise and b the conclusion in a -> b?

  • possible worlds: [] a , <> a , ! []a (modal logic)

Figuring it out: