Exercise 3.1 For each of the following two truth functions, (i) fi sentence with just ~, A, V, ++, or → that symbolizes it; and (ii) a sentence containing just the Sheffer stroke that symbolizes it. may save time by making abbreviations and saying things like “m such-and-such substitutions throughout". f(1,1)= 1 f(1,0)=0 f(0,1)=0 f(0,0)= 1 g(1, 1,0) = 0 g(0,0, 1)=0 g(x,y, z)=1 otherwise

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Exercise 3.1 For each of the following two truth functions, (i) find a
sentence with just ~, A, V, ++, or → that symbolizes it; and (ii) find
a sentence containing just the Sheffer stroke that symbolizes it. You
may save time by making abbreviations and saying things like “make
such-and-such substitutions throughout".
f(1,1)= 1
f(1,0)=0
f(0, 1)=0
f(0,0) = 1
8(1, 1,0) = 0
g(0,0, 1) =0
g(x,y,z)=1 otherwise
Transcribed Image Text:Exercise 3.1 For each of the following two truth functions, (i) find a sentence with just ~, A, V, ++, or → that symbolizes it; and (ii) find a sentence containing just the Sheffer stroke that symbolizes it. You may save time by making abbreviations and saying things like “make such-and-such substitutions throughout". f(1,1)= 1 f(1,0)=0 f(0, 1)=0 f(0,0) = 1 8(1, 1,0) = 0 g(0,0, 1) =0 g(x,y,z)=1 otherwise
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