conditionals

Question 1

understand and be able to explain what conditionals are and are not saying

Answer 1

• if x then y is making a claim about what is true when x is true, but is not making claims about what is true when y is true
• a conditional asserts the existence of a hypothetical relationship between conditions, such that if the first is met, then the second must follow

Question 2

if given an example where some conditional is true, be able to identify what does and does not logically follow from that

Answer 2

if x then y follows that when x is true y also must be true, but does not necessarily follow that when y is true x is also true

Question 3

counterexample

Answer 3

• be able to give an example where x maintains but y does not
• if x then NOT y
• an example which affirms the antecedent and denies the consequent