Symbolic Logic And Its Applications
Symbolic Logic And Its Applications
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Substituting for W, P', C^ we find the syllogism sought to be {y:x)(y:zy :{x:z)\ and the required missing minor premise to he y: x.
66 (a). By a similar process we find the strongest conclusion derivable from two given premises. One example will suffice. Suppose we have the combination of premises (z:y)(x:yy. Let S denote the strongest conclusion required. We get {z : yX^ • yY ' S, which, by transposition, is (z : y)S^ : (x : y).
The letter missing in the implicational consequent of the second ...syllogism is z, so that its antecedent (z:y)S^ must be either x:z:y or else x:z^ :y.
70 SYMBOLIC LOGIC [§§ 66 (a), 67 The first antecedent is th^ one that contains the factor z:y, so that its other factor x : z must be the one denoted by S'. Hence, we get S^=^x:z, and S = (a; :;$;/. The strongest * conclusion required is therefore {x : z)\ CHAPTER X 67. We will now introduce three new symbols, W
What to read after Symbolic Logic And Its Applications?
You can find similar books in the "Read Also" column, or choose other free books by Maccoll, Hugh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Substituting for W, P', C^ we find the syllogism sought to be {y:x)(y:zy :{x:z)\ and the required missing minor premise to he y: x.
66 (a). By a similar process we find the strongest conclusion derivable from two given premises. One example will suffice. Suppose we have the combination of premises (z:y)(x:yy. Let S denote the strongest conclusion required. We get {z : yX^ • yY ' S, which, by transposition, is (z : y)S^ : (x : y).
The letter missing in the implicational consequent of the second ...syllogism is z, so that its antecedent (z:y)S^ must be either x:z:y or else x:z^ :y.
70 SYMBOLIC LOGIC [§§ 66 (a), 67 The first antecedent is th^ one that contains the factor z:y, so that its other factor x : z must be the one denoted by S'. Hence, we get S^=^x:z, and S = (a; :;$;/. The strongest * conclusion required is therefore {x : z)\ CHAPTER X 67. We will now introduce three new symbols, W
What to read after Symbolic Logic And Its Applications?
You can find similar books in the "Read Also" column, or choose other free books by Maccoll, Hugh to read onlineMoreLess
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