Natural language into sentence logic
Need some help putting these two examples of natural language into sentence logic. For reference, use the transcription guide below:
D = you think so; E = I think so; F = it is true
If you think so, I think so. And if I think so, you think so. (is it possible to express this using just one connective?)
Unless it isn’t true, you don’t think so.
natural-language
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Need some help putting these two examples of natural language into sentence logic. For reference, use the transcription guide below:
D = you think so; E = I think so; F = it is true
If you think so, I think so. And if I think so, you think so. (is it possible to express this using just one connective?)
Unless it isn’t true, you don’t think so.
natural-language
add a comment |
Need some help putting these two examples of natural language into sentence logic. For reference, use the transcription guide below:
D = you think so; E = I think so; F = it is true
If you think so, I think so. And if I think so, you think so. (is it possible to express this using just one connective?)
Unless it isn’t true, you don’t think so.
natural-language
Need some help putting these two examples of natural language into sentence logic. For reference, use the transcription guide below:
D = you think so; E = I think so; F = it is true
If you think so, I think so. And if I think so, you think so. (is it possible to express this using just one connective?)
Unless it isn’t true, you don’t think so.
natural-language
natural-language
asked 2 hours ago
A. DelargeA. Delarge
513
513
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add a comment |
1 Answer
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- This sentence is a conjunction of two conditionals:
D→E∧E→D
You can put it into a single connective by using CB: D↔E
- I was taught that "unless" is a flag for the "or" connective, so I will write my answer like that. If you rewrite the sentence to "You don’t think so unless it isn’t true", then the logic you get is:
~F∨~D
New contributor
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
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1 Answer
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
- This sentence is a conjunction of two conditionals:
D→E∧E→D
You can put it into a single connective by using CB: D↔E
- I was taught that "unless" is a flag for the "or" connective, so I will write my answer like that. If you rewrite the sentence to "You don’t think so unless it isn’t true", then the logic you get is:
~F∨~D
New contributor
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
add a comment |
- This sentence is a conjunction of two conditionals:
D→E∧E→D
You can put it into a single connective by using CB: D↔E
- I was taught that "unless" is a flag for the "or" connective, so I will write my answer like that. If you rewrite the sentence to "You don’t think so unless it isn’t true", then the logic you get is:
~F∨~D
New contributor
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
add a comment |
- This sentence is a conjunction of two conditionals:
D→E∧E→D
You can put it into a single connective by using CB: D↔E
- I was taught that "unless" is a flag for the "or" connective, so I will write my answer like that. If you rewrite the sentence to "You don’t think so unless it isn’t true", then the logic you get is:
~F∨~D
New contributor
- This sentence is a conjunction of two conditionals:
D→E∧E→D
You can put it into a single connective by using CB: D↔E
- I was taught that "unless" is a flag for the "or" connective, so I will write my answer like that. If you rewrite the sentence to "You don’t think so unless it isn’t true", then the logic you get is:
~F∨~D
New contributor
New contributor
answered 1 hour ago
cenicerocenicero
311
311
New contributor
New contributor
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
add a comment |
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
Thank you so much for your response. For #2, however, I was recently taught that “X, unless Y” is the same (usually) as ~Y > X. Would it be possible to write it out then as ~~D > ~F, which would just be D > ~F?
– A. Delarge
1 hour ago
add a comment |
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