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 Morgan2cats
  • Posts: 15
  • Joined: Nov 02, 2023
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#112202
Steve Stein wrote: Fri Aug 22, 2014 8:14 pm Hi,

That's a good question; the argument basically breaks down as follows:

Premise: For an action to be justified, you must behave rationally:
..... ..... Justified action :arrow: rational behavior

Conclusion: Thus, irrational actions cannot be considered justified:
..... ..... rational behavior :arrow: justified action

The author's conclusion is the contrapositive of the premise.
Similarly, correct answer choice (B) breaks down as follows:

Premise: If water is spilled accidentally, it cannot be intentional:
..... ..... spilled accidentally :arrow: intentional spill

Conclusion: If you intend to spill a glass of water, it cannot be accidental:
..... ..... intentional spill :arrow: accidental spill

Again, note that the conclusion is the contrapositive of the premise.

I hope that's helpful! Please let me know whether this is clear--thanks!

~Steve
Hi PowerScore,

I am having difficulty translating the first sentence into conditional logic.

My thoughts:
"One might be justified in behaving irrationally" is wrong
= "some behaving irrationally can be justified" is wrong
= no one behaving irrationally can be justified
= "behaving irrationally :arrow: - justified"

1. Can I translate "might be" into "some"?
2. Could you share your translation procedure?

Many thanks!
User avatar
 Jeff Wren
PowerScore Staff
  • PowerScore Staff
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  • Joined: Oct 19, 2022
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#112242
Hi Morgan,

While your approach looks like it got you to the right idea in the end, you may not need to go through all of those steps.

Sometimes it can be helpful to zoom out and think about what the sentence means more generally (in plain English) before we decide whether or not we want to diagram it.

The first sentence is basically saying that "justified" and "irrational behavior" do not go together.

For example, take the following sentence:

"The notion that dogs and cats are the same is incoherent."

What does this mean in plain English? It means that dogs and cats are not the same.

If we wanted to express this with conditional diagramming, it would be:

If dog, not cat.
D -> Not C

And the contrapositive would be:
If cat, not dog
C -> Not D

In the same way, from the first sentence in the stimulus, we can go directly to the diagrams of:

Justified -> Not Irrational
Irrational -> Not Justified
User avatar
 Morgan2cats
  • Posts: 15
  • Joined: Nov 02, 2023
|
#112245
Jeff Wren wrote: Tue Mar 11, 2025 10:28 am Hi Morgan,

While your approach looks like it got you to the right idea in the end, you may not need to go through all of those steps.

Sometimes it can be helpful to zoom out and think about what the sentence means more generally (in plain English) before we decide whether or not we want to diagram it.

The first sentence is basically saying that "justified" and "irrational behavior" do not go together.

For example, take the following sentence:

"The notion that dogs and cats are the same is incoherent."

What does this mean in plain English? It means that dogs and cats are not the same.

If we wanted to express this with conditional diagramming, it would be:

If dog, not cat.
D -> Not C

And the contrapositive would be:
If cat, not dog
C -> Not D

In the same way, from the first sentence in the stimulus, we can go directly to the diagrams of:

Justified -> Not Irrational
Irrational -> Not Justified
Pure magic! Thanks, Jeff! :-D

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