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Natural language into propositional 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?










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





    Seems like a homework question and you are not showing any effort.

    – Jishin Noben
    yesterday











  • These may fly in Mathematical logic but these are not even meaningful propositions by Philosophy standards. They would need more details than provided. The point of deductive logic is to prevent or reduce deception or ambiguity traps. Mathematical logic doesn't always adhere to that purpose. They do their own thing.

    – Logikal
    yesterday











  • How about the fact that I’m trying to learn all of this out of a book and need a little help that I cannot get elsewhere? I put in plenty of effort, it’s just when I’m not totally sure of an answer, I like to receive confirmation before I move onto a different problem set or topic. I don’t understand why you have to pass judgement.

    – A. Delarge
    20 hours ago











  • You have not shown that effort -- that is, you have not posted what you have tried so we might offer advice on where you are having trouble.

    – Graham Kemp
    20 hours ago
















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





    Seems like a homework question and you are not showing any effort.

    – Jishin Noben
    yesterday











  • These may fly in Mathematical logic but these are not even meaningful propositions by Philosophy standards. They would need more details than provided. The point of deductive logic is to prevent or reduce deception or ambiguity traps. Mathematical logic doesn't always adhere to that purpose. They do their own thing.

    – Logikal
    yesterday











  • How about the fact that I’m trying to learn all of this out of a book and need a little help that I cannot get elsewhere? I put in plenty of effort, it’s just when I’m not totally sure of an answer, I like to receive confirmation before I move onto a different problem set or topic. I don’t understand why you have to pass judgement.

    – A. Delarge
    20 hours ago











  • You have not shown that effort -- that is, you have not posted what you have tried so we might offer advice on where you are having trouble.

    – Graham Kemp
    20 hours ago














1












1








1


0






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






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited yesterday









Jishin Noben

983219




983219










asked 2 days ago









A. DelargeA. Delarge

543




543







  • 1





    Seems like a homework question and you are not showing any effort.

    – Jishin Noben
    yesterday











  • These may fly in Mathematical logic but these are not even meaningful propositions by Philosophy standards. They would need more details than provided. The point of deductive logic is to prevent or reduce deception or ambiguity traps. Mathematical logic doesn't always adhere to that purpose. They do their own thing.

    – Logikal
    yesterday











  • How about the fact that I’m trying to learn all of this out of a book and need a little help that I cannot get elsewhere? I put in plenty of effort, it’s just when I’m not totally sure of an answer, I like to receive confirmation before I move onto a different problem set or topic. I don’t understand why you have to pass judgement.

    – A. Delarge
    20 hours ago











  • You have not shown that effort -- that is, you have not posted what you have tried so we might offer advice on where you are having trouble.

    – Graham Kemp
    20 hours ago













  • 1





    Seems like a homework question and you are not showing any effort.

    – Jishin Noben
    yesterday











  • These may fly in Mathematical logic but these are not even meaningful propositions by Philosophy standards. They would need more details than provided. The point of deductive logic is to prevent or reduce deception or ambiguity traps. Mathematical logic doesn't always adhere to that purpose. They do their own thing.

    – Logikal
    yesterday











  • How about the fact that I’m trying to learn all of this out of a book and need a little help that I cannot get elsewhere? I put in plenty of effort, it’s just when I’m not totally sure of an answer, I like to receive confirmation before I move onto a different problem set or topic. I don’t understand why you have to pass judgement.

    – A. Delarge
    20 hours ago











  • You have not shown that effort -- that is, you have not posted what you have tried so we might offer advice on where you are having trouble.

    – Graham Kemp
    20 hours ago








1




1





Seems like a homework question and you are not showing any effort.

– Jishin Noben
yesterday





Seems like a homework question and you are not showing any effort.

– Jishin Noben
yesterday













These may fly in Mathematical logic but these are not even meaningful propositions by Philosophy standards. They would need more details than provided. The point of deductive logic is to prevent or reduce deception or ambiguity traps. Mathematical logic doesn't always adhere to that purpose. They do their own thing.

– Logikal
yesterday





These may fly in Mathematical logic but these are not even meaningful propositions by Philosophy standards. They would need more details than provided. The point of deductive logic is to prevent or reduce deception or ambiguity traps. Mathematical logic doesn't always adhere to that purpose. They do their own thing.

– Logikal
yesterday













How about the fact that I’m trying to learn all of this out of a book and need a little help that I cannot get elsewhere? I put in plenty of effort, it’s just when I’m not totally sure of an answer, I like to receive confirmation before I move onto a different problem set or topic. I don’t understand why you have to pass judgement.

– A. Delarge
20 hours ago





How about the fact that I’m trying to learn all of this out of a book and need a little help that I cannot get elsewhere? I put in plenty of effort, it’s just when I’m not totally sure of an answer, I like to receive confirmation before I move onto a different problem set or topic. I don’t understand why you have to pass judgement.

– A. Delarge
20 hours ago













You have not shown that effort -- that is, you have not posted what you have tried so we might offer advice on where you are having trouble.

– Graham Kemp
20 hours ago






You have not shown that effort -- that is, you have not posted what you have tried so we might offer advice on where you are having trouble.

– Graham Kemp
20 hours ago











1 Answer
1






active

oldest

votes


















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





    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
    yesterday






  • 1





    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
    yesterday











  • Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

    – Logikal
    yesterday











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1 Answer
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active

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1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









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





    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
    yesterday






  • 1





    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
    yesterday











  • Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

    – Logikal
    yesterday















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





    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
    yesterday






  • 1





    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
    yesterday











  • Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

    – Logikal
    yesterday













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








edited yesterday









Solomon Ucko

1033




1033






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 yesterday









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.







  • 1





    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
    yesterday






  • 1





    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
    yesterday











  • Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

    – Logikal
    yesterday












  • 1





    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
    yesterday






  • 1





    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
    yesterday











  • Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

    – Logikal
    yesterday







1




1





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
yesterday





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
yesterday




1




1





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
yesterday





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
yesterday













Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

– Logikal
yesterday





Unless is not always a contropositive. Unless expresses a negative term. For example, you will fail this class unless you score an 85 or above. This would be if you do not score 85 or above then you will fail this class. That is not a contrapositive. Another example, you are hell bound unless you accept Christ as a savior. This means if you do not accept Christ as a savior then you are hellhound. Notice whatever verbiage after UNLESS becomes the antecedent of the conditional. You can perform logical equivalence after to translate it correctly.

– Logikal
yesterday

















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