Use the following Symbolization Key to symbolize the English sentences (a) – (o)

Question

Use the following Symbolization Key to symbolize the English sentences (a) – (o) into SL:

C:         A Canadian will win a Nobel Prize this year.

M:        Margaret Atwood will win a Nobel Prize this year.

T:         Donald Trump will win a Nobel Prize this year.

V:         The value of the Nobel Prize increases this year.

(a)         Margaret Atwood or Donald Trump will win a Nobel Prize this year.

(b)        If a Canadian will win a Nobel Prize this year, Margaret Atwood will win a Nobel Prize this year.

(c)        Margaret Atwood, but not Donald Trump, will win a Nobel Prize this year.

(d)        Donald Trump will not win the Nobel Prize this year, provided that a Canadian wins the Nobel Prize this year.

(e)        Margaret Atwood will win a Nobel Prize this year, only if a Canadian will win a Nobel Prize this year.

(f)         If the value of the Nobel Prize increases this year, then both Margaret Atwood and Donald Trump will win a Nobel Prize this year.

(g)        Donald Trump will win a Nobel Prize this year if and only if both Margaret Atwood does not win a Nobel Prize this year and the value of the Nobel Prize increases this year.

(h)        A Canadian will not win a Nobel Prize this year—not even Margaret Atwood!

(i)         At least one of Margaret Atwood and Donald Trump will win a Nobel Prize this year, assuming that the value of the Nobel Prize increases this year.

(j)         One of Margaret Atwood and Donald Trump will win a Nobel Prize this year, but not both of them will win a Nobel Prize this year.

(k)        Neither a Canadian nor Donald Trump will win a Nobel Prize this year.

(l)         Margaret Atwood will not win a Nobel Prize this year, and the value of the Nobel Prize is not increasing either; nevertheless, a Canadian will win a Nobel Prize this year.

(m)       If either Margaret Atwood wins or Donald Trump does not win a Nobel Prize this year, then the value of the Nobel Prize will increase this year.

(n)        A Canadian will win a Nobel Prize this year, unless Donald Trump wins one.

(o)        Margaret Atwood will win a Nobel Prize this year just in case a Canadian wins a Nobel Prize this year.

Explanation / Answer

If P,then Q ----------- (P   Q)

P,if Q-------------------- (Q   P)

P only if Q ----------- (P   Q)

Only if P,Q-------------------- (Q   P)

(a) Margaret Atwood or Donald Trump will win a Nobel Prize this year.

C M

(b) If a Canadian will win a Nobel Prize this year, Margaret Atwood will win a Nobel Prize this year.

C M

(c) Margaret Atwood, but not Donald Trump, will win a Nobel Prize this year.

M ^ (~T)

(d) Donald Trump will not win the Nobel Prize this year, provided that a Canadian wins the Nobel Prize this year.

C ~T

(e) Margaret Atwood will win a Nobel Prize this year, only if a Canadian will win a Nobel Prize this year.

M C

(f) If the value of the Nobel Prize increases this year, then both Margaret Atwood and Donald Trump will win a Nobel Prize this year.

V (M T)

(g) Donald Trump will win a Nobel Prize this year if and only if both Margaret Atwood does not win a Nobel Prize this year and the value of the Nobel Prize increases this year.

T (~M V)

(h) A Canadian will not win a Nobel Prize this year—not even Margaret Atwood!

~C ~M

(i) At least one of Margaret Atwood and Donald Trump will win a Nobel Prize this year, assuming that the value of the Nobel Prize increases this year.

V (M v T)

(j) One of Margaret Atwood and Donald Trump will win a Nobel Prize this year, but not both of them will win a Nobel Prize this year.

~(M T)

(k) Neither a Canadian nor Donald Trump will win a Nobel Prize this year.

~C ^ ~T

(l) Margaret Atwood will not win a Nobel Prize this year, and the value of the Nobel Prize is not increasing either; nevertheless, a Canadian will win a Nobel Prize this year.

~M ^ ~V ^ ~V

(m) If either Margaret Atwood wins or Donald Trump does not win a Nobel Prize this year, then the value of the Nobel Prize will increase this year.

(M v ~T) V

(n) A Canadian will win a Nobel Prize this year, unless Donald Trump wins one.

~T C

(o) Margaret Atwood will win a Nobel Prize this year just in case a Canadian wins a Nobel Prize this year.

C M

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