Natural language into sentence logic












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




  1. 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?)


  2. Unless it isn’t true, you don’t think so.











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    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




    1. 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?)


    2. Unless it isn’t true, you don’t think so.











    share|improve this question

























      1












      1








      1


      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




      1. 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?)


      2. Unless it isn’t true, you don’t think so.











      share|improve this question














      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




      1. 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?)


      2. Unless it isn’t true, you don’t think so.








      natural-language






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      asked 1 hour ago









      A. DelargeA. Delarge

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          1. 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




          1. 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






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          cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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          • 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
            10 mins ago












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          1 Answer
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          active

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          active

          oldest

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          3















          1. 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




          1. 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






          share|improve this answer








          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
            10 mins ago
















          3















          1. 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




          1. 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






          share|improve this answer








          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
            10 mins ago














          3












          3








          3








          1. 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




          1. 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






          share|improve this answer








          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.











          1. 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




          1. 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







          share|improve this answer








          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.









          share|improve this answer



          share|improve this answer






          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 1 hour ago









          cenicerocenicero

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          New contributor




          cenicero is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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          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
            10 mins 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
            10 mins 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
          10 mins 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
          10 mins ago


















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