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Natural language into sentence logic
The Next CEO of Stack OverflowIs an argument in natural language as logically valid as in formal logic?Questions about the relationship between Wittgenstein's Philosophical Investigations and TractatusWhere Wittgenstein argues that thinking is done in 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
asked 3 hours ago
A. DelargeA. Delarge
513
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
asked 3 hours ago
A. DelargeA. Delarge
513
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
asked 3 hours ago
A. DelargeA. Delarge
513
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 3 hours ago
A. DelargeA. Delarge
513
asked 3 hours ago
A. DelargeA. Delarge
513
asked 3 hours ago
A. DelargeA. Delarge
513
asked 3 hours ago
A. DelargeA. Delarge
513
asked 3 hours ago
A. DelargeA. Delarge
513
513
add a comment |
add a comment |
1 Answer
1
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
answered 2 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
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
10 mins ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min ago
add a comment |
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1 Answer
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active
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1 Answer
1
active
oldest
votes
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oldest
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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
answered 2 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
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
10 mins ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min 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
answered 2 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
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
10 mins ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min 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
answered 2 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 2 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 2 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 2 hours ago
cenicerocenicero
311
answered 2 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
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
10 mins ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min 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
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
10 mins ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min 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
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
10 mins 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
10 mins ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min ago
@A.Delarge You are correct, unless is a contrapositive. That is how it should be written.
– Bertrand Wittgenstein's Ghost
1 min ago
add a comment |
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