Is the argument below valid? Announcing the arrival of Valued Associate #679: Cesar Manara ...

How can players work together to take actions that are otherwise impossible?

Why did the IBM 650 use bi-quinary?

What causes the vertical darker bands in my photo?

How to draw this diagram using TikZ package?

How does a Death Domain cleric's Touch of Death feature work with Touch-range spells delivered by familiars?

Does accepting a pardon have any bearing on trying that person for the same crime in a sovereign jurisdiction?

3 doors, three guards, one stone

Did Xerox really develop the first LAN?

What happens to sewage if there is no river near by?

Is there a "higher Segal conjecture"?

When to stop saving and start investing?

How can I make names more distinctive without making them longer?

Difference between these two cards?

G-Code for resetting to 100% speed

Java 8 stream max() function argument type Comparator vs Comparable

Is the Standard Deduction better than Itemized when both are the same amount?

Is there a Spanish version of "dot your i's and cross your t's" that includes the letter 'ñ'?

Is there a documented rationale why the House Ways and Means chairman can demand tax info?

When -s is used with third person singular. What's its use in this context?

I need to find the potential function of a vector field.

Why does Python start at index -1 when indexing a list from the end?

How to motivate offshore teams and trust them to deliver?

What is this single-engine low-wing propeller plane?

Is the argument below valid?



Is the argument below valid?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)
Which kinds of Philosophy.SE questions should be taken from (or tolerated in)…How does one contradiction in argument makes the argument valid?In formal logic, how is it possible for an argument with a contradictory conclusion to be valid?The validity of the definition of a valid argumentWhy is this argument valid?Is this a valid argument?Determine if an argument is valid or invalidConcerning the definition of “valid”What is the difference between a conditional and material implication?How is “~A. Therefore A -> B” a valid argument?Is this argument valid?












1
















If interest rates go down, then I will buy a house. If I buy a house, I will need
a loan. Therefore, I will not need a loan if I do not buy a house.




Is this argument valid?










share|improve this question









New contributor




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





















  • I made an edit. You may roll this back if it does not represent your view by clicking on the "edited" link above my image and then on a rollback link. Welcome!

    – Frank Hubeny
    9 hours ago
















1
















If interest rates go down, then I will buy a house. If I buy a house, I will need
a loan. Therefore, I will not need a loan if I do not buy a house.




Is this argument valid?










share|improve this question









New contributor




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





















  • I made an edit. You may roll this back if it does not represent your view by clicking on the "edited" link above my image and then on a rollback link. Welcome!

    – Frank Hubeny
    9 hours ago














1












1








1









If interest rates go down, then I will buy a house. If I buy a house, I will need
a loan. Therefore, I will not need a loan if I do not buy a house.




Is this argument valid?










share|improve this question









New contributor




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













If interest rates go down, then I will buy a house. If I buy a house, I will need
a loan. Therefore, I will not need a loan if I do not buy a house.




Is this argument valid?







logic






share|improve this question









New contributor




Bruce Grayton Toodeep Muzawazi 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









New contributor




Bruce Grayton Toodeep Muzawazi 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




share|improve this question








edited 9 hours ago









Frank Hubeny

10.5k51558




10.5k51558






New contributor




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









asked 9 hours ago









Bruce Grayton Toodeep MuzawaziBruce Grayton Toodeep Muzawazi

61




61




New contributor




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





New contributor





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






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













  • I made an edit. You may roll this back if it does not represent your view by clicking on the "edited" link above my image and then on a rollback link. Welcome!

    – Frank Hubeny
    9 hours ago



















  • I made an edit. You may roll this back if it does not represent your view by clicking on the "edited" link above my image and then on a rollback link. Welcome!

    – Frank Hubeny
    9 hours ago

















I made an edit. You may roll this back if it does not represent your view by clicking on the "edited" link above my image and then on a rollback link. Welcome!

– Frank Hubeny
9 hours ago





I made an edit. You may roll this back if it does not represent your view by clicking on the "edited" link above my image and then on a rollback link. Welcome!

– Frank Hubeny
9 hours ago










2 Answers
2






active

oldest

votes


















4















Is the argument valid?




No.



"I will not need a loan if I do not buy a house" is the same as "If I do not buy a house, then I will not need a loan".



This is not implied by "If I buy a house, I will need a loan".



See Denying the antecedent.






share|improve this answer































    2














    Wikipedia describes validity as follows:




    In logic, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.




    The argument we want to test for validity is the following:




    If interest rates go down, then I will buy a house. If I buy a house, I will need a loan. Therefore, I will not need a loan if I do not buy a house.




    This can be broken up into propositions with this symbolization key:




    • R: "Interest rates go down."

    • B: "I will buy a house."

    • L: "I will need a loan."


    If R then B. If B then L. Therefore, if not B then not L.



    We could place the following into a truth table generator. For the truth table generator I am using I would enter the following string:




    ((R=>B)&&(B=>L))=>(~B=>~L)




    This is the result I get:



    enter image description here



    Note the "F" in the third line of the table. This is a line where the premises are true but the conclusion false. Therefore the argument is invalid.





    Stanford Truth Table Tool http://web.stanford.edu/class/cs103/tools/truth-table-tool/



    Wikipedia contributors. (2019, March 28). Validity (logic). In Wikipedia, The Free Encyclopedia. Retrieved 18:05, April 15, 2019, from https://en.wikipedia.org/w/index.php?title=Validity_(logic)&oldid=889899195






    share|improve this answer
























      Your Answer








      StackExchange.ready(function() {
      var channelOptions = {
      tags: "".split(" "),
      id: "265"
      };
      initTagRenderer("".split(" "), "".split(" "), channelOptions);

      StackExchange.using("externalEditor", function() {
      // Have to fire editor after snippets, if snippets enabled
      if (StackExchange.settings.snippets.snippetsEnabled) {
      StackExchange.using("snippets", function() {
      createEditor();
      });
      }
      else {
      createEditor();
      }
      });

      function createEditor() {
      StackExchange.prepareEditor({
      heartbeatType: 'answer',
      autoActivateHeartbeat: false,
      convertImagesToLinks: false,
      noModals: true,
      showLowRepImageUploadWarning: true,
      reputationToPostImages: null,
      bindNavPrevention: true,
      postfix: "",
      imageUploader: {
      brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
      contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
      allowUrls: true
      },
      noCode: true, onDemand: true,
      discardSelector: ".discard-answer"
      ,immediatelyShowMarkdownHelp:true
      });


      }
      });






      Bruce Grayton Toodeep Muzawazi is a new contributor. Be nice, and check out our Code of Conduct.










      draft saved

      draft discarded


















      StackExchange.ready(
      function () {
      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphilosophy.stackexchange.com%2fquestions%2f61847%2fis-the-argument-below-valid%23new-answer', 'question_page');
      }
      );

      Post as a guest















      Required, but never shown

























      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      4















      Is the argument valid?




      No.



      "I will not need a loan if I do not buy a house" is the same as "If I do not buy a house, then I will not need a loan".



      This is not implied by "If I buy a house, I will need a loan".



      See Denying the antecedent.






      share|improve this answer




























        4















        Is the argument valid?




        No.



        "I will not need a loan if I do not buy a house" is the same as "If I do not buy a house, then I will not need a loan".



        This is not implied by "If I buy a house, I will need a loan".



        See Denying the antecedent.






        share|improve this answer


























          4












          4








          4








          Is the argument valid?




          No.



          "I will not need a loan if I do not buy a house" is the same as "If I do not buy a house, then I will not need a loan".



          This is not implied by "If I buy a house, I will need a loan".



          See Denying the antecedent.






          share|improve this answer














          Is the argument valid?




          No.



          "I will not need a loan if I do not buy a house" is the same as "If I do not buy a house, then I will not need a loan".



          This is not implied by "If I buy a house, I will need a loan".



          See Denying the antecedent.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 9 hours ago









          Mauro ALLEGRANZAMauro ALLEGRANZA

          29.7k22065




          29.7k22065























              2














              Wikipedia describes validity as follows:




              In logic, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.




              The argument we want to test for validity is the following:




              If interest rates go down, then I will buy a house. If I buy a house, I will need a loan. Therefore, I will not need a loan if I do not buy a house.




              This can be broken up into propositions with this symbolization key:




              • R: "Interest rates go down."

              • B: "I will buy a house."

              • L: "I will need a loan."


              If R then B. If B then L. Therefore, if not B then not L.



              We could place the following into a truth table generator. For the truth table generator I am using I would enter the following string:




              ((R=>B)&&(B=>L))=>(~B=>~L)




              This is the result I get:



              enter image description here



              Note the "F" in the third line of the table. This is a line where the premises are true but the conclusion false. Therefore the argument is invalid.





              Stanford Truth Table Tool http://web.stanford.edu/class/cs103/tools/truth-table-tool/



              Wikipedia contributors. (2019, March 28). Validity (logic). In Wikipedia, The Free Encyclopedia. Retrieved 18:05, April 15, 2019, from https://en.wikipedia.org/w/index.php?title=Validity_(logic)&oldid=889899195






              share|improve this answer




























                2














                Wikipedia describes validity as follows:




                In logic, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.




                The argument we want to test for validity is the following:




                If interest rates go down, then I will buy a house. If I buy a house, I will need a loan. Therefore, I will not need a loan if I do not buy a house.




                This can be broken up into propositions with this symbolization key:




                • R: "Interest rates go down."

                • B: "I will buy a house."

                • L: "I will need a loan."


                If R then B. If B then L. Therefore, if not B then not L.



                We could place the following into a truth table generator. For the truth table generator I am using I would enter the following string:




                ((R=>B)&&(B=>L))=>(~B=>~L)




                This is the result I get:



                enter image description here



                Note the "F" in the third line of the table. This is a line where the premises are true but the conclusion false. Therefore the argument is invalid.





                Stanford Truth Table Tool http://web.stanford.edu/class/cs103/tools/truth-table-tool/



                Wikipedia contributors. (2019, March 28). Validity (logic). In Wikipedia, The Free Encyclopedia. Retrieved 18:05, April 15, 2019, from https://en.wikipedia.org/w/index.php?title=Validity_(logic)&oldid=889899195






                share|improve this answer


























                  2












                  2








                  2







                  Wikipedia describes validity as follows:




                  In logic, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.




                  The argument we want to test for validity is the following:




                  If interest rates go down, then I will buy a house. If I buy a house, I will need a loan. Therefore, I will not need a loan if I do not buy a house.




                  This can be broken up into propositions with this symbolization key:




                  • R: "Interest rates go down."

                  • B: "I will buy a house."

                  • L: "I will need a loan."


                  If R then B. If B then L. Therefore, if not B then not L.



                  We could place the following into a truth table generator. For the truth table generator I am using I would enter the following string:




                  ((R=>B)&&(B=>L))=>(~B=>~L)




                  This is the result I get:



                  enter image description here



                  Note the "F" in the third line of the table. This is a line where the premises are true but the conclusion false. Therefore the argument is invalid.





                  Stanford Truth Table Tool http://web.stanford.edu/class/cs103/tools/truth-table-tool/



                  Wikipedia contributors. (2019, March 28). Validity (logic). In Wikipedia, The Free Encyclopedia. Retrieved 18:05, April 15, 2019, from https://en.wikipedia.org/w/index.php?title=Validity_(logic)&oldid=889899195






                  share|improve this answer













                  Wikipedia describes validity as follows:




                  In logic, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.




                  The argument we want to test for validity is the following:




                  If interest rates go down, then I will buy a house. If I buy a house, I will need a loan. Therefore, I will not need a loan if I do not buy a house.




                  This can be broken up into propositions with this symbolization key:




                  • R: "Interest rates go down."

                  • B: "I will buy a house."

                  • L: "I will need a loan."


                  If R then B. If B then L. Therefore, if not B then not L.



                  We could place the following into a truth table generator. For the truth table generator I am using I would enter the following string:




                  ((R=>B)&&(B=>L))=>(~B=>~L)




                  This is the result I get:



                  enter image description here



                  Note the "F" in the third line of the table. This is a line where the premises are true but the conclusion false. Therefore the argument is invalid.





                  Stanford Truth Table Tool http://web.stanford.edu/class/cs103/tools/truth-table-tool/



                  Wikipedia contributors. (2019, March 28). Validity (logic). In Wikipedia, The Free Encyclopedia. Retrieved 18:05, April 15, 2019, from https://en.wikipedia.org/w/index.php?title=Validity_(logic)&oldid=889899195







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 9 hours ago









                  Frank HubenyFrank Hubeny

                  10.5k51558




                  10.5k51558






















                      Bruce Grayton Toodeep Muzawazi is a new contributor. Be nice, and check out our Code of Conduct.










                      draft saved

                      draft discarded


















                      Bruce Grayton Toodeep Muzawazi is a new contributor. Be nice, and check out our Code of Conduct.













                      Bruce Grayton Toodeep Muzawazi is a new contributor. Be nice, and check out our Code of Conduct.












                      Bruce Grayton Toodeep Muzawazi is a new contributor. Be nice, and check out our Code of Conduct.
















                      Thanks for contributing an answer to Philosophy Stack Exchange!


                      • Please be sure to answer the question. Provide details and share your research!

                      But avoid



                      • Asking for help, clarification, or responding to other answers.

                      • Making statements based on opinion; back them up with references or personal experience.


                      To learn more, see our tips on writing great answers.




                      draft saved


                      draft discarded














                      StackExchange.ready(
                      function () {
                      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphilosophy.stackexchange.com%2fquestions%2f61847%2fis-the-argument-below-valid%23new-answer', 'question_page');
                      }
                      );

                      Post as a guest















                      Required, but never shown





















































                      Required, but never shown














                      Required, but never shown












                      Required, but never shown







                      Required, but never shown

































                      Required, but never shown














                      Required, but never shown












                      Required, but never shown







                      Required, but never shown







                      Popular posts from this blog

                      Why do type traits not work with types in namespace scope?What are POD types in C++?Why can templates only be...

                      Will tsunami waves travel forever if there was no land?Why do tsunami waves begin with the water flowing away...

                      Simple Scan not detecting my scanner (Brother DCP-7055W)Brother MFC-L2700DW printer can print, can't...