MODR 1760 Lecture 4: class 4

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If there is a nuclear war civilization will be destroyed.
There will be a nuclear war  affirming the antecedent
Civilization will be destroyed by nuclear war
Some dogs are white
Some dogs are black
If something is a cat then it’s a cat
Some cats are black
Some cats are white
Either I’m here or not here
If a than b
A  Affirming the antecedent (VALID)
B
If a than b
Not b  denying the consequent (valid)
Not a
If there is a nuclear war civilization will be destroyed
Civilization won’t be destroyed  Denying the consequent (Valid)
There is no nuclear war
1[If Olaf wins the lotto, Olaf goes to Denmark]
2[Olaf goes to Denmark] 1 + 2
3[Olaf wins the lotto] (Invalid) 3
If there is nuclear war then civilization will be destroyed
Civilization will be destroyed
There will be nuclear war (Invalid)
1[If I drop the chalk, the chalk will break.] (But) 2[I didn’t drop the chalk]. (So) 3[the chalk must not be
broken.]
1 + 2 (Conditional claims always connect to the other claim)
3
1) If I major in psychology, [a] I will have to take stats and research methods.[b]
2) I want to major in psychology.[a]
3) I am going to have to resign myself to taking stats.[b]
If my integrity is important to me,[a] then I should return the money I found.[b] I did return the money.]
So, there is proof that I value my integrity. (If a then b)
If my integrity is important to me, then I should return the money I found
I did return the money [b] 1+2
I value my integrity [a] 3
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