Soru
If Shane doesn't buy groceries, he will order take-out for dinner. Shane bought groceries. Therefore, Shane will not order take-out. Which statement is its conclusion? Shane didn't buy groceries Shane will order take-out Shane bought groceries If Shane doesn't buy groceries he will order take-out. Shane will not order take-out Which statements are its premises?Select all that apply. Shane didn't buy groceries Shane bought groceries Shane will order take-out Shane will not order take -out If Shane doesn't buy groceries , he will order take-out. How will we symbolize the premises and conclusion using the simple statements: p - Shane buys groceries q - Shane orders take-out square Premise 2:?
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Yaren
Elit · 8 yıl öğretmeni
Uzman doğrulaması
Cevap
To analyze the argument, let's break it down:**Conclusion:**The conclusion of the argument is "Shane will not order take-out."**Premises:**The premises that support this conclusion are:1. "If Shane doesn't buy groceries, he will order take-out."2. "Shane bought groceries."Now, let's symbolize the premises and conclusion using the simple statements provided:- Let
represent "Shane buys groceries."- Let
represent "Shane orders take-out."**Symbolizing the Premises:**1. The first premise "If Shane doesn't buy groceries, he will order take-out" can be symbolized as:
(This means if not
, then
.)2. The second premise "Shane bought groceries" can be symbolized as:
**Conclusion:**The conclusion "Shane will not order take-out" can be symbolized as:
In summary, the logical structure of the argument is:- Premise 1:
- Premise 2:
- Conclusion:
This argument uses a form of reasoning known as modus tollens, where from
and
, we conclude
.