statement that can be validly inferred from the proposition - All animals are wild
0
Which one of the following can be validly inferred from the proposition - "All animals are wild" ?
Options
Some animals are wild.
Some animals are not wild.
No animals are wild.
No non-animals are wild.
I think some animals are wild can mean all animals are wild, isn't? I guess the correct answer is option 1.
source:
http://netexam.pmgurus.com/ugc-net-online-questions.aspx?q=UGC-NTA-NET-PAPER-1-solved-answer-paper-22-DECEMBER-2018-SHIFT1&gid=180&h=1&QID=12771&Qno=23
logic
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
add a comment |
0
Which one of the following can be validly inferred from the proposition - "All animals are wild" ?
Options
Some animals are wild.
Some animals are not wild.
No animals are wild.
No non-animals are wild.
I think some animals are wild can mean all animals are wild, isn't? I guess the correct answer is option 1.
source:
http://netexam.pmgurus.com/ugc-net-online-questions.aspx?q=UGC-NTA-NET-PAPER-1-solved-answer-paper-22-DECEMBER-2018-SHIFT1&gid=180&h=1&QID=12771&Qno=23
logic
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
3
You are correct. Always when you see a propositon with the words "some ... are", interpret that as "there is at least one ... so that ... "
– Matti P.
Dec 28 '18 at 13:51
6
None of the above, unfortunately. You're right that option 1 is the closest, but inferring that some animals are wild implicitly assumes some animals exist, which need not be true for the statement "all animals are wild" to be correct.
– Theo Bendit
Dec 28 '18 at 13:52
1
@TheoBendit - but animals exist...
– Mauro ALLEGRANZA
Dec 28 '18 at 16:01
1
@MauroALLEGRANZA In actuality, yes they do. Also, in actuality, not all animals are wild, so I would be very hesitant about inferring truths from actuality. In fact, from the contradiction of the hypothesis with the actual fact that some animals are not wild, you could derive all four possibilities! The point is, in an introductory course in propositional logic, while dealing with real things helps students get to grips with the logic, it's a really bad idea to allow them to add in hypotheses that they believe are actually true.
– Theo Bendit
Dec 28 '18 at 22:10
@TheoBendit - correct... what I mean is that at the "elemenatry level" of the above question, I think taht can be misleading to invoke the subtleties of "empty domains" ... :-)
– Mauro ALLEGRANZA
Dec 29 '18 at 8:03
add a comment |
0
0
0
Which one of the following can be validly inferred from the proposition - "All animals are wild" ?
Options
Some animals are wild.
Some animals are not wild.
No animals are wild.
No non-animals are wild.
I think some animals are wild can mean all animals are wild, isn't? I guess the correct answer is option 1.
source:
http://netexam.pmgurus.com/ugc-net-online-questions.aspx?q=UGC-NTA-NET-PAPER-1-solved-answer-paper-22-DECEMBER-2018-SHIFT1&gid=180&h=1&QID=12771&Qno=23
logic
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
Which one of the following can be validly inferred from the proposition - "All animals are wild" ?
Options
Some animals are wild.
Some animals are not wild.
No animals are wild.
No non-animals are wild.
I think some animals are wild can mean all animals are wild, isn't? I guess the correct answer is option 1.
source:
http://netexam.pmgurus.com/ugc-net-online-questions.aspx?q=UGC-NTA-NET-PAPER-1-solved-answer-paper-22-DECEMBER-2018-SHIFT1&gid=180&h=1&QID=12771&Qno=23
logic
logic
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
edited Dec 28 '18 at 19:21
Bram28
60.3k44590
60.3k44590
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
asked Dec 28 '18 at 13:50
VenkatVenkat
1366
1366
3
You are correct. Always when you see a propositon with the words "some ... are", interpret that as "there is at least one ... so that ... "
– Matti P.
Dec 28 '18 at 13:51
6
None of the above, unfortunately. You're right that option 1 is the closest, but inferring that some animals are wild implicitly assumes some animals exist, which need not be true for the statement "all animals are wild" to be correct.
– Theo Bendit
Dec 28 '18 at 13:52
1
@TheoBendit - but animals exist...
– Mauro ALLEGRANZA
Dec 28 '18 at 16:01
1
@MauroALLEGRANZA In actuality, yes they do. Also, in actuality, not all animals are wild, so I would be very hesitant about inferring truths from actuality. In fact, from the contradiction of the hypothesis with the actual fact that some animals are not wild, you could derive all four possibilities! The point is, in an introductory course in propositional logic, while dealing with real things helps students get to grips with the logic, it's a really bad idea to allow them to add in hypotheses that they believe are actually true.
– Theo Bendit
Dec 28 '18 at 22:10
@TheoBendit - correct... what I mean is that at the "elemenatry level" of the above question, I think taht can be misleading to invoke the subtleties of "empty domains" ... :-)
– Mauro ALLEGRANZA
Dec 29 '18 at 8:03
add a comment |
3
You are correct. Always when you see a propositon with the words "some ... are", interpret that as "there is at least one ... so that ... "
– Matti P.
Dec 28 '18 at 13:51
6
None of the above, unfortunately. You're right that option 1 is the closest, but inferring that some animals are wild implicitly assumes some animals exist, which need not be true for the statement "all animals are wild" to be correct.
– Theo Bendit
Dec 28 '18 at 13:52
1
@TheoBendit - but animals exist...
– Mauro ALLEGRANZA
Dec 28 '18 at 16:01
1
@MauroALLEGRANZA In actuality, yes they do. Also, in actuality, not all animals are wild, so I would be very hesitant about inferring truths from actuality. In fact, from the contradiction of the hypothesis with the actual fact that some animals are not wild, you could derive all four possibilities! The point is, in an introductory course in propositional logic, while dealing with real things helps students get to grips with the logic, it's a really bad idea to allow them to add in hypotheses that they believe are actually true.
– Theo Bendit
Dec 28 '18 at 22:10
@TheoBendit - correct... what I mean is that at the "elemenatry level" of the above question, I think taht can be misleading to invoke the subtleties of "empty domains" ... :-)
– Mauro ALLEGRANZA
Dec 29 '18 at 8:03
3
3
You are correct. Always when you see a propositon with the words "some ... are", interpret that as "there is at least one ... so that ... "
– Matti P.
Dec 28 '18 at 13:51
You are correct. Always when you see a propositon with the words "some ... are", interpret that as "there is at least one ... so that ... "
– Matti P.
Dec 28 '18 at 13:51
6
6
None of the above, unfortunately. You're right that option 1 is the closest, but inferring that some animals are wild implicitly assumes some animals exist, which need not be true for the statement "all animals are wild" to be correct.
– Theo Bendit
Dec 28 '18 at 13:52
None of the above, unfortunately. You're right that option 1 is the closest, but inferring that some animals are wild implicitly assumes some animals exist, which need not be true for the statement "all animals are wild" to be correct.
– Theo Bendit
Dec 28 '18 at 13:52
1
1
@TheoBendit - but animals exist...
– Mauro ALLEGRANZA
Dec 28 '18 at 16:01
@TheoBendit - but animals exist...
– Mauro ALLEGRANZA
Dec 28 '18 at 16:01
1
1
@MauroALLEGRANZA In actuality, yes they do. Also, in actuality, not all animals are wild, so I would be very hesitant about inferring truths from actuality. In fact, from the contradiction of the hypothesis with the actual fact that some animals are not wild, you could derive all four possibilities! The point is, in an introductory course in propositional logic, while dealing with real things helps students get to grips with the logic, it's a really bad idea to allow them to add in hypotheses that they believe are actually true.
– Theo Bendit
Dec 28 '18 at 22:10
@MauroALLEGRANZA In actuality, yes they do. Also, in actuality, not all animals are wild, so I would be very hesitant about inferring truths from actuality. In fact, from the contradiction of the hypothesis with the actual fact that some animals are not wild, you could derive all four possibilities! The point is, in an introductory course in propositional logic, while dealing with real things helps students get to grips with the logic, it's a really bad idea to allow them to add in hypotheses that they believe are actually true.
– Theo Bendit
Dec 28 '18 at 22:10
@TheoBendit - correct... what I mean is that at the "elemenatry level" of the above question, I think taht can be misleading to invoke the subtleties of "empty domains" ... :-)
– Mauro ALLEGRANZA
Dec 29 '18 at 8:03
@TheoBendit - correct... what I mean is that at the "elemenatry level" of the above question, I think taht can be misleading to invoke the subtleties of "empty domains" ... :-)
– Mauro ALLEGRANZA
Dec 29 '18 at 8:03
add a comment |
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3
You are correct. Always when you see a propositon with the words "some ... are", interpret that as "there is at least one ... so that ... "
– Matti P.
Dec 28 '18 at 13:51
6
None of the above, unfortunately. You're right that option 1 is the closest, but inferring that some animals are wild implicitly assumes some animals exist, which need not be true for the statement "all animals are wild" to be correct.
– Theo Bendit
Dec 28 '18 at 13:52
1
@TheoBendit - but animals exist...
– Mauro ALLEGRANZA
Dec 28 '18 at 16:01
1
@MauroALLEGRANZA In actuality, yes they do. Also, in actuality, not all animals are wild, so I would be very hesitant about inferring truths from actuality. In fact, from the contradiction of the hypothesis with the actual fact that some animals are not wild, you could derive all four possibilities! The point is, in an introductory course in propositional logic, while dealing with real things helps students get to grips with the logic, it's a really bad idea to allow them to add in hypotheses that they believe are actually true.
– Theo Bendit
Dec 28 '18 at 22:10
@TheoBendit - correct... what I mean is that at the "elemenatry level" of the above question, I think taht can be misleading to invoke the subtleties of "empty domains" ... :-)
– Mauro ALLEGRANZA
Dec 29 '18 at 8:03