Does it follow that if it is not the case that it is likely, then it is unlikely?

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I'm reading Meaning and Argument and in one exercise of symbolization, there is a sentence which reads "That Jack ever slept here is unlikely."



The symbolization provided is:
"Negation: ~J (J: It is likely that Jack ever slept here)".



Such that the final sentence would read: "It is not the case that it is likely that Jack ever slept here."



But if it's not the case that an event is likely, does it necessarily have to be unlikely? What if it's equally as likely as it is unlikely?



I understand that if you say that an event is "not likely", then it is unlikely, but I'm not sure it has the same meaning as "it is not the case that it is likely."






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    I'm reading Meaning and Argument and in one exercise of symbolization, there is a sentence which reads "That Jack ever slept here is unlikely."



    The symbolization provided is:
    "Negation: ~J (J: It is likely that Jack ever slept here)".



    Such that the final sentence would read: "It is not the case that it is likely that Jack ever slept here."



    But if it's not the case that an event is likely, does it necessarily have to be unlikely? What if it's equally as likely as it is unlikely?



    I understand that if you say that an event is "not likely", then it is unlikely, but I'm not sure it has the same meaning as "it is not the case that it is likely."






    meaning sentence-meaning







    share|improve this question







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    ixjf is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      down vote

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      up vote
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      down vote

      favorite











      I'm reading Meaning and Argument and in one exercise of symbolization, there is a sentence which reads "That Jack ever slept here is unlikely."



      The symbolization provided is:
      "Negation: ~J (J: It is likely that Jack ever slept here)".



      Such that the final sentence would read: "It is not the case that it is likely that Jack ever slept here."



      But if it's not the case that an event is likely, does it necessarily have to be unlikely? What if it's equally as likely as it is unlikely?



      I understand that if you say that an event is "not likely", then it is unlikely, but I'm not sure it has the same meaning as "it is not the case that it is likely."






      meaning sentence-meaning







      share|improve this question







      New contributor




      ixjf is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I'm reading Meaning and Argument and in one exercise of symbolization, there is a sentence which reads "That Jack ever slept here is unlikely."



      The symbolization provided is:
      "Negation: ~J (J: It is likely that Jack ever slept here)".



      Such that the final sentence would read: "It is not the case that it is likely that Jack ever slept here."



      But if it's not the case that an event is likely, does it necessarily have to be unlikely? What if it's equally as likely as it is unlikely?



      I understand that if you say that an event is "not likely", then it is unlikely, but I'm not sure it has the same meaning as "it is not the case that it is likely."






      meaning sentence-meaning




      meaning sentence-meaning






      share|improve this question







      New contributor




      ixjf 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 question







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      ixjf is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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