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False dilemma
1. False dilemma
1 False dilemma 1
2 False dilemma 2
3 False dilemma 3
4 False dilemma 4
A "
false dilemma" is a logical fallacy whereby only a few of all possible choices are presented as being "
collectively exhaustive". In some cases, the choices presented are not "
mutually exclusive".
2. Sets: Mutually exclusive and collectively exhaustive
Items in a set can be partitioned into categories in many ways.
Given a set:
There is a question or relation.
There are answers or equivalence sets (without an ordering)
Mutually exclusive means that "yes" or a "no" are distinct and cannot be both at the same time.
Collectively exhaustive means that everything must be either a "yes" or a "no". There are no other possibilities.
| Question |
Possible |
Answers |
| Relation |
Equivalence |
Sets |
| Is it true? |
yes |
no |
| What sex are you? |
male |
female |
| Who do you serve? |
God |
mammon |
3. False dilemma 1
A "
false dilemma" fallacy is when only some choices are provided.
4. False dilemma 2
Often, the choices presented are not "
mutually exclusive". That is, they overlap.
5. False dilemma 3
Often, there are other choices that are not presented. The choices are not "
collectively exhaustive" in that they do not cover all possible choices.
6. False dilemma 4
Often, the choices presented are not "
mutually exclusive" and are not "
collectively exhaustive".
7. End of page
