Natural language into sentence logic
2
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
asked 4 hours ago
A. DelargeA. Delarge
563
add a comment |
2
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
asked 4 hours ago
A. DelargeA. Delarge
563
add a comment |
2
2
2
1
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
asked 4 hours ago
A. DelargeA. Delarge
563
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 4 hours ago
A. DelargeA. Delarge
563
asked 4 hours ago
A. DelargeA. Delarge
563
asked 4 hours ago
A. DelargeA. Delarge
563
asked 4 hours ago
A. DelargeA. Delarge
563
asked 4 hours ago
A. DelargeA. Delarge
563
563
add a comment |
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
answered 3 hours ago
cenicerocenicero
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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
2 hours ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 hour ago
add a comment |
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1 Answer
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oldest
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
3
- 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
answered 3 hours ago
cenicerocenicero
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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
2 hours ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 hour ago
add a comment |
3
- 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
answered 3 hours ago
cenicerocenicero
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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
2 hours ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 hour ago
add a comment |
3
3
3
- 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
answered 3 hours ago
cenicerocenicero
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
- 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
answered 3 hours ago
cenicerocenicero
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 3 hours ago
cenicerocenicero
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 3 hours ago
cenicerocenicero
311
answered 3 hours ago
cenicerocenicero
311
311
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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
2 hours ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
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
2 hours ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
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
2 hours 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
2 hours ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
Hello, if you were taught that "X unless Y" meant X ∨ ~Y, then "You don’t think so unless it isn’t true" would be "You don’t think so" ∨ ~"it isn’t true" = ~D ∨ ~~F = ~D ∨ F
– cenicero
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 hour ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 hour ago
add a comment |
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