Unless
Started by
CRAIG-HUDSON
· started 2020-04-07 23:28
· last activity 2023-07-07 19:29
· 5 replies
Why doesn't "unless" indicate a necessary condition and as a result mapped that way?
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shunhe
· 2020-04-08 20:49
Hi @CRAIG-HUDSON,
Thanks for the question! So let’s think about how the word “unless” functions in everyday use. Consider the following sentence:
I will go to the grocery store and buy some milk, unless you already have.
Now, if we interpret “unless” as indicating a necessary condition, then we get the following:
I go to the grocery store and buy milk —> You already have
In other words, if I go to the grocery store and buy milk, then you already have. But this isn’t at all what this sentence means! What am I actually trying to say when I utter this sentence? Well, if didn’t go to the grocery store and got the milk, then I’m going, since there’s no milk in the house. In other words:
~You already have —> I will go to the grocery store and buy some milk
and, taking the contrapositive, we also know that if I didn’t go to the grocery store and get milk, it means you did. Thus, I like to think of X unless Y as ~Y —> X. In the example above, X = I will go to the grocery store and buy milk, and Y = You already have.
Hope this helps! Feel free to ask any other questions that you might have.
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Chris-Smutny
· 2020-06-10 08:00
I don't understand why there was a 3 hour lecture explaining the rules for each indicator word when there's a significant level of interpretation that was involved which wasn't explained.
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Success
· 2020-08-22 20:07
I am confused on this as well. Are you suggesting that "unless" means a necessary condition until it's worded differently in certain cases? If so, how can we identify the differences in wording?
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Anna-Rogers
· 2020-10-02 18:27
This took me a minute to get as well, but hopefully this helps:
"I will go to the grocery store and buy milk" = X
"Unless you already have" = Y
If you negate the X and make the Y necessary, it follows the lesson we were originally giving on "Unless" and still holds true with this example in the contra-positive
Step 1: "Unless" introduces a necessary condition so the part of the sentence that follows "unless" will be the necessary condition.
Step 2: Negate the other part of the sentence and make it the sufficient condition.
Positive Argument Structure:
~X ---> Y (If I do NOT go to the store and buy milk, then you already have)
Contrapositive Argument Structure:
~Y ---> X (If you did NOT already go to the store, then I will go to the store and buy milk)
1st example from the lesson:
"A person cannot win the lottery unless she buys a ticket"
X= a person cannot win the lottery (~WL)
Y= unless she buys a ticket (BT)
Positive Argument Structure:
~X --->Y
If a person won the lottery then they bought a lottery ticket
WL ---> BT (if you negate a negative it becomes a positive)
Contra-positive Argument Structure:
~Y ---> X
If a she did NOT buy a lottery ticket, then that person cannot win the lottery.
~BT ---> ~WL
Question 27:
Unless the residents of Glen Hills band together, the proposal to rezone that city will be approved
PRBA = the proposal to rezone that city will be approved
GHBT = unless the residents of Glen Hills band together
Step 1: Make GHBT the necessary
Step 2: Negate PRBA and make sufficient
Positive:
~PRBA ----> GHBT
"If the proposal to rezone the city is NOT approved, then the residents of Glen Hills banded together"
Contra-positive:
~GHBT ---> PRBA
"if the residents of Glen Hills do NOT band together, the the proposal to rezone will be approved"
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Shula
· 2023-07-07 19:29
Hi Anna, thank you so much for writing out your explanation! It makes soooo much sense! Otherwise the explanation video confused me with the new use of "unless."
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