ne-driver lives on barley-sugar.

56.

1 2 3 4 5
h_{1}b'_{0} + c_{1}d'_{0} + k'a_{0} + e_{1}h'_{0} + b_{1}a'_{0}

6
+ k_{1}c'_{0};

1 4 5 3 6 2
hb' + eh' + ba' + k'a + kc' + cd'
-- = =- - = =- =

> ed'_{0} + e_{1}, i.e. > e_{1}d'_{0}

i.e. All the animals in the yard gnaw bones.

57.

1 2 3 4 5 6
h'_{1}d'_{0} + e_{1}c'_{0} + k'a_{0} + cb_{0} + d_{1}l'_{0} + e'h_{0}

7
+ kl_{0};

1 5 7 3 6 2 4
h'd' + dl' + kl + k'a + e'h + ec' + cb > ab_{0}
- - =- -= = - = =- =

i.e. No badger can guess a conundrum.

58.

1 2 3 4 5 6
b'h_{0} + d'_{1}l'_{0} + ca_{0} + d_{1}k'_{0} + h'_{1}e'_{0} + mc'_{0}

7 8
+ a'b_{0} + ek_{0};

1 5 7 3 6 8 4 2
b'h + h'e' + a'b + ca + mc' + ek + dk' + d'l' > ml'_{0}
- - = - - = -= = =- -= =

i.e. No cheque of yours, received by me, is payable to order.

59.

1 2 3 4 5 6
c_{1}l'_{0} + h'e_{0} + kd_{0} + mc'_{0} + b'_{1}e'_{0} + n_{1}a'_{0}

7 8 9
+ l_{1}d'_{0} + m'b_{0} + ah_{0};

1 4 7 3 8 5 2 9 6
cl' + mc' + ld' + kd + m'b + b'e' + h'e + ah + na'
-- -= =- = = - = - - = -= =

> kn_{0}

i.e. I cannot read any of Brown's letters.

60.

1 2 3 4 5 6
e_{1}c'_{0} + l_{1}n'_{0} + d_{1}a'_{0} + m'b_{0} + ck'_{0} + e'r_{0}

7 8 9 10
+ h_{1}n_{0} + b'k_{0} + r'_{1}d'_{0} + m_{1}l'_{0};

1 5 6 8 4 9 3 10 2 7
ec' + ck' + e'r + b'k + m'b + r'd' + da' + ml' + ln' + hn
-- =- = - - = - = = - = =- =- =

> a'h_{0} + h_{1}, i.e. > h_{1}a'_{0}

i.e. I always avoid a kangaroo.

pg164

NOTES.

(A) [See p. 80].

One of the favourite objections, brought against the Science of Logic by
its detractors, is that a Syllogism has no real validity as an argument,
since it involves the Fallacy of _Petitio Principii_ (i.e. "Begging the
Question", the essence of which is that the whole Conclusion is involved
in _one_ of the Premisses)