Logic 101 (#31): Constructive Dilemma

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Constructive dilemma is a logical rule of inference that says if P implies Q, R implies S, and P or R is true, then Q or S is true as well. Essentially, the constructive dilemma passes the disjunction through two conditional statements. For example, if the statements

"If I am running, I am happy."

and

"If I am sleeping, I am dreaming."

and

"I am running or sleeping."

are true, then it must also be true that I am happy or I am dreaming.
  1. William Spaniel
  2. Logic (Field Of Study)
  3. constructive dilemma
  4. dilemma
  5. destructive dilemma
  6. rule of inference
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Комментарии
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Dude you need to be a teacher! I'm taking symbolic logic, read about this in my text book several times, and I was totally lost. Then I watched your video for about 3 minutes, and I totally get it now. Seriously, your are a hero, like a philosophical superhero evil genius. Nice work, and thanks.

MichaelSmith-nciy
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Dilemma? More like "Dang, lemma" get some more of that amazing knowledge! This video was wonderful, like all the others; thank you for making them!

PunmasterSTP
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Thanks for the upload! I hold people who make education free for all with the ability to learn in the highest regard.=D

inadaizz
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On line 12 should the explanation of the step show 3.12 conjunction introduction

jeff_kola
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HEY I HAVE A QUESTION

can we have A constructive dilemma with a false conclusion.

ibrahimalallaqi
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soo what about
p --> q
r --> s
q v r
Therfore p v s
is this also can?

edberaga