16. No y' exist. i.e. Nobody is unhealthy.
4. Smaller Diagram.
Propositions represented.
__________
- - - - - - - -
| 1 | | | | |
1. | - -| - -| 2. | - -| - -|
| 0 | | | 1 | |
- - - - - - - -
- - - - - - - -
| | | | | 1 |
3. | - -| - -| 4. | - -| - -|
| | 0 | | | |
- - - - - - - -
- - - - - - - -
| | 1 | | | |
5. | - -| - -| 6. | - -| - -|
| | | | 0 | |
- - - - - - - -
- - - - - - - -
| | | | | |
7. | - -| - -| 8. | - -| - -|
| | 1 | | 0 | 1 |
- - - - - - - -
- - - - - - - -
| | | | | |
9. | - -|-1-| 10. | - -| - -|
| | | | 0 | 0 |
- - - - - - - -
- - - - - - - -
| 1 | | | 1 | 0 |
11. | - -| - -| 12. | - -| - -|
| 1 | | | | 1 |
- - - - - - - -
- - - -
| | |
13. No x' are y. i.e. | - -| - -|
| 0 | |
- - - -
- - - -
| | 0 |
14. All y' are x'. i.e. | - -| - -|
| | 1 |
- - - -
- - - -
| | |
15. Some y' exist. i.e. | - -|-1-|
| | |
- - - -
- - - -
| 1 | 0 |
16. All y are x, and all x are y. i.e. | - -| - -|
| 0 | |
- - - -
- - - -
| | |
17. No x' exist. i.e. | - -| - -|
| 0 | 0 |
- - - -
- - - -
| 0 | 1 |
18. All x are y'. i.e. | - -| - -|
| | |
- - - -
- - - -
| 0 | |
19. No x are y. i.e. | - -| - -|
| | |
- - - -
- - - -
| | |
20. Some x' are y, and some are y'. i.e. | - -| - -|
| 1 | 1 |
- - - -
- - - -
| 0 | 1 |
21. No y exist, and some x exist. i.e. | - -| - -|
| 0 | |
- - - -
- - - -
| | 1 |
22. All x' are y, and all y' are x. i.e. | - -| - -|
| 1 | 0 |
- - - -
- - - -
| 1 | |
17. Some x are y, and some x' are y'. i.e. | - -| - -|
| | 1 |
- - - -
5. Smaller Diagram.
Symbols interpreted.
__________
1. Some y are not-x, or, Some not-x are y.
2. No not-x are not-y, or, No not-y are not-x.
3. No not-y are x.
4. No not-x exist. i.e. No Things are not-x.
5. No y exist. i.e. No houses are two-storied.
6. Some x' exist. i.e. Some houses are not built of brick.
7. No x are y'. Or, no y' are x. i.e. No houses, built of
brick, are other than two-storied. Or, no houses, that
are not two-storied, are built of brick.
8. All x' are y'. i.e. All houses, that are not built of
brick, are not two-storied.
9. Some x are y, and some are y'. i.e. Some fat boys are
active, and some are not.
10. All y' are x'. i.e. All lazy boys are thin.
11. All x are y', and all y' are x. i.e. All fat boys
are lazy, and all lazy ones are fat.
12. All y are x, and all x' are y. i.e. All active boys
are fat, and all thin ones are lazy.
13. No x exist, and no y' exist. i.e. No cats have green eyes,
and none have bad tempers.
14. Some x are y', and some x' are y. Or some y are x', and
some y' are x. i.e. Some green-eyed cats are bad-tempered,
and some, that have not green eyes, are good-tempered.
Or, some good-tempered cats have not green eyes, and some
bad-tempered ones have green eyes.
15. Some x are y, and no x' are y'. Or, some y are x, and
no y' are x'. i.e. Some green-eyed cats are good-tempered, and
none, that are not green-eyed, are bad-tempered. Or, some
good-tempered cats have green eyes, and none, that are
bad-tempered, have not green eyes.
16. All x are y', and all x' are y. Or, all y are x', and all
y' are x. i.e. All green-eyed cats are bad-tempered and
all, that have not green eyes, are good-tempered. Or, all
good-tempered ones have eyes that are not green, and all
bad-tempered ones have green eyes.
6. Larger Diagram.
Propositions represented.
__________
- - - - - - - - - - - - - - - -
| | | | | |
| - -| - - | | - -| - - |
| | 0 | 0 | | | | | | |
1. | - -| - -| - -| - -| 2. |-1-| - -| - -| - -|
| | | | | | | | | |
| - -| - - | | - -| - - |
| | | | | |
- - - - - - - - - - - - - - - -
- - - - - - - - - - - - - - - -
| | | | | 0 |
| - -| - - | | - -| - - |
| | 0 | 0 | | | | | | |
3. | - -| - -| - -| - -| 4. | - -| - -| - -| - -|
| | - | | | | | | |
| - -| - - | | - -| - - |
| | | | | 0 |
- - - - - - - - - - - - - - - -
- - - - - - - - - - - - - - - -
| 0 | | | | |
| - -| - - | | - -| - - |
| | 0 | 0 | | | | 0 | 1 | |
5. | - -| - -| - -| - -| 6. | - -| - -| - -| - -|
| | 1 | | | | | 0 | | |
| - -| - - | | - -| - - |
| 0 | | | | |
- - - - - - - - - - - - - - - -
- - - - - - - - - - - - - - - -
| | | | | 0 |
| - -| - - | | - -| - - |
| | 0 | 0 | | | | | | |
7. | - -| - -| - -| - -| 8. | - -| - -| - -| - -|
| | 0 | 1 | | | | 0 | 0 | |
| - -| - - | | - -| - - |
| | | | | 0 |
- - - - - - - - - - - - - - - -
- - - - - - - -
| | |
| - -| - - |
| | 0 | 0 | |
9. No x are m. i.e. | - -| - -| - -| - -|
| | 0 | | |
| - -| - - |
| | |
- - - - - - - -
- - - - - - - -
| | |
| - -| - - |
| | | | |
10. Some m' are y. i.e. |-1-| - -| - -| - -|
| | | | |
| - -| - - |
| | |
- - - - - - - -
- - - - - - - -
| | |
| - -| - - |
| | | 0 | |
11. All y' are m'. i.e. | - -| - -| - -|-1-|
| | | 0 | |
| - -| - - |
| | |
- - - - - - - -
- - - - - - - -
| | |
| - -| - - |
| | 0 | 0 | |
12. All m are x'. i.e. | - -| - -| - -| - -|
| | 1 | |
| - -| - - |
| | |
- - - - - - - -
- - - - - - - -
| 0 | |
| - -| - - |
| | 0 | 0 | |
13. No x are m; i.e. | - -| - -| - -| - -|
All y are m. | | 1 | | |
| - -| - - |
| 0 | |
- - - - - - - -
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | | | |
14. All m' are y; i.e. | - -| - -| - -| - -|
No x are m'. | | | | |
| - -| - - |
| 1 | 0 |
- - - - - - - -
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | 1 | 0 | |
15. All x are m; i.e. | - -| - -| - -| - -|
No m are y'. | | | 0 | |
| - -| - - |
| | |
- - - - - - - -
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | | | |
16. All m' are y'; i.e. | - -| - -| - -| - -|
No x are m'. | | | | |
| - -| - - |
| 0 | 1 |
- - - - - - - -
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | 1 | 0 | |
17. All x are m; i.e. | - -| - -| - -| - -|
All m are y. | | | 0 | |
| - -| - - |
[See remarks on No. 7, p. 60.] | | |
- - - - - - - -
- - - - - - - -
| 0 | |
| - -| - - |
| | | | |
18. No x' are m; i.e. | - -| - -| - -| - -|
No m' are y. | | 0 | 0 | |
| - -| - - |
| 0 | |
- - - - - - - -
- - - - - - - -
| | |
| - -| - - |
| | 1 | 0 | |
19. All m are x; i.e. | - -| - -| - -| - -|
All m are y. | | 0 | 0 | |
| - -| - - |
| | |
- - - - - - - -
20. We had better take "persons" as Universe. We
may choose "myself" as 'Middle Term', in which case
the Premisses will take the form
I am a-person-who-sent-him-to-bring-a-kitten;
I am a-person-to-whom-he-brought-a-kettle-by-mistake.
Or we may choose "he" as 'Middle Term', in which case the Premisses
will take the form
He is a-person-whom-I-sent-to-bring-me-a-kitten;
He is a-person-who-brought-me-a-kettle-by-mistake.
The latter form seems best, as the interest of the anecdote clearly
depends on HIS stupidity - not on what happened to ME. Let us then
make m = "he"; x = "persons whom I sent, &c."; and y = "persons
who brought, &c."
Hence, All m are x;
All m are y. and the required Diagram is
- - - - - - - -
| | |
| - -| - - |
| | 1 | 0 | |
| - -| - -| - -| - -|
| | 0 | 0 | |
| - -| - - |
| | |
- - - - - - - -
7. Both Diagrams employed.
- - - -
| 0 | |
1. | - -| - -| i.e. All y are x'.
| 1 | |
- - - -
- - - -
| | 1 |
2. | - -| - -| i.e. Some x are y'; or, Some y' are x.
| | |
- - - -
- - - -
| | |
3. | - -| - -| i.e. Some y are x'; or, Some x' are y.
| 1 | |
- - - -
- - - -
| | |
4. | - -| - -| i.e. No x' are y'; or, No y' are x'.
| | 0 |
- - - -
- - - -
| 0 | |
5. | - -| - -| i.e. All y are x'. i.e. All black rabbits
| 1 | | are young.
- - - -
- - - -
| | |
6. | - -| - -| i.e. Some y are x'. i.e. Some black
| 1 | | rabbits are young.
- - - -
- - - -
| 1 | 0 |
7. | - -| - -| i.e. All x are y. i.e. All well-fed birds
| | | are happy.
- - - -
- - - -
| | | i.e. Some x' are y'. i.e. Some birds,
8. | - -| - -| that are not well-fed, are unhappy;
| | 1 | or, Some unhappy birds are not
- - - - well-fed.
- - - -
| 1 | 0 |
9. | - -| - -| i.e. All x are y. i.e. John has got a
| | | tooth-ache.
- - - -
- - - -
| | |
10. | - -| - -| i.e. No x' are y. i.e. No one, but John,
| 0 | | has got a tooth-ache.
- - - -
- - - -
| 1 | |
11. | - -| - -| i.e. Some x are y. i.e. Some one, who
| | | has taken a walk, feels better.
- - - -
- - - -
| 1 | | i.e. Some x are y. i.e. Some one,
12. | - -| - -| whom I sent to bring me a kitten,
| | | brought me a kettle by mistake.
- - - -
- - - - - - - -
| | 0 |
| - -| - - |
| | 0 | 0 | |
13. |-1-| - -| - -| - -| - - - -
| | | | | | | 0 |
| - -| - - | | - -| - -|
| | 0 | | | |
- - - - - - - - - - - -
Let "books" be Universe; m="exciting",
x="that suit feverish patients"; y="that make
one drowsy".
No m are x; &there4 No y' are x.
All m' are y.
i.e. No books suit feverish patients, except such as make
one drowsy.
- - - - - - - -
| | |
| - -| - - |
| | 1 | 0 | |
14. | - -| - -| - -| - -| - - - -
| | | 0 | | | 1 | |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "persons" be Universe; m="that deserve the fair";
x="that get their deserts"; y="brave".
Some m are x; &there4 Some y are x.
No y' are m.
i.e. Some brave persons get their deserts.
- - - - - - - -
| 0 | |
| - -| - - |
| | 0 | 0 | |
15. | - -| - -| - -| - -| - - - -
| | | | | | 0 | |
| - -| - - | | - -| - -|
| 0 | | | | |
- - - - - - - - - - - -
Let "persons" be Universe; m="patient";
x="children"; y="that can sit still".
No x are m; &there4 No x are y.
No m' are y.
i.e. No children can sit still.
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | 0 | 1 | |
16. | - -| - -| - -| - -| - - - -
| | 0 | | | | 0 | 1 |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "things" be Universe; m="fat"; x="pigs";
y="skeletons".
All x are m; &there4 All x are y'.
No y are m.
i.e. All pigs are not-skeletons.
- - - - - - - -
| | |
| - -| - - |
| | 0 | 0 | |
17. | - -| - -| - -| - -| - - - -
| | 1 | 0 | | | | |
| - -| - - | | - -| - -|
| | | | 1 | |
- - - - - - - - - - - -
Let "creatures" be Universe; m="monkeys";
x="soldiers"; y="mischievous".
No m are x; &there4 Some y are x'.
All m are y.
i.e. Some mischievous creatures are not soldiers.
- - - - - - - -
| 0 | |
| - -| - - |
| | 0 | 0 | |
18. | - -| - -| - -| - -| - - - -
| | | | | | 0 | |
| - -| - - | | - -| - -|
| 0 | | | | |
- - - - - - - - - - - -
Let "persons" be Universe; m="just";
x="my cousins"; y="judges".
No x are m; &there4 No x are y.
No y are m'.
i.e. None of my cousins are judges.
- - - - - - - -
| | |
| - -| - - |
| | 1 | 0 | |
19. | - -| - -| - -| - -| - - - -
| | | | | | 1 | |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "periods" be Universe; m="days";
x="rainy"; y="tiresome".
Some m are x; &there4 Some x are y.
All xm are y.
i.e. Some rainy periods are tiresome.
N.B. These are not legitimate Premisses, since the
Conclusion is really part of the second Premiss, so that the
first Premiss is superfluous. This may be shown, in letters,
thus: -
"All xm are y" contains "Some xm are y", which
contains "Some x are y". Or, in words, "All rainy days
are tiresome" contains "Some rainy days are tiresome",
which contains "Some rainy periods are tiresome".
Moreover, the first Premiss, besides being superfluous, is
actually contained in the second; since it is equivalent to
"Some rainy days exist", which, as we know, is implied in
the Proposition "All rainy days are tiresome".
Altogether, a most unsatisfactory Pair of Premisses!
- - - - - - - -
| 0 | |
| - -| - - |
| | 1 | | |
20. | - -| - -| - -| - -| - - - -
| | 0 | 0 | | | 1 | |
| - -| - - | | - -| - -|
| 0 | | | 0 | |
- - - - - - - - - - - -
Let "things" be Universe; m="medicine";
x="nasty"; y="senna".
All m are x; &there4 All y are x.
All y are m.
i.e. Senna is nasty.
[See remarks on No. 7, p 60.]
- - - - - - - -
| | |
| - -| - - |
| | 0 | 1 | |
21. |-1-| - -| - -| - -| - - - -
| | 0 | | | | | 1 |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "persons" be Universe; m="Jews";
x="rich"; y="Patagonians".
Some m are x; &there4 Some x are y'.
All y are m'.
i.e. Some rich persons are not Patagonians.
- - - - - - - -
| 0 | |
| - -| - - |
| | - | |
22. | - -| - -| - -| - -| - - - -
| | 0 | 0 | | | | |
| - -| - - | | - -| - -|
| 0 | | | 0 | |
- - - - - - - - - - - -
Let "creatures" be Universe; m="teetotalers";
x="that like sugar"; y="nightingales".
All m are x; &there4 No y are x'.
No y are m'.
i.e. No nightingales dislike sugar.
- - - - - - - -
| | |
| - -| - - |
| | 0 | 0 | |
23. |-1-| - -| - -| - -| - - - -
| | 0 | | | | | |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "food" be Universe; m="wholesome";
x="muffins"; y="buns".
No x are m;
All y are m.
There is 'no information' for the smaller Diagram; so
no Conclusion can be drawn.
- - - - - - - -
| | |
| - -| - - |
| | 0 | 0 | |
24. | - -| - -| - -| - -| - - - -
| | 1 | | | | | |
| - -| - - | | - -| - -|
| | | | 1 | |
- - - - - - - - - - - -
Let "creatures" be Universe; m="that run well";
x="fat"; y="greyhounds".
No x are m; &there4 Some y are x'.
Some y are m.
i.e. Some greyhounds are not fat.
- - - - - - - -
| | |
| - -| - - |
| | - | |
25. |-1-| - -| - -| - -| - - - -
| | 0 | 0 | | | | |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "persons" be Universe; m="soldiers";
x="that march"; y="youths".
All m are x;
Some y are m'.
There is 'no information' for the smaller Diagram; so
no Conclusion can be drawn.
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | 0 | 1 | |
26. | - -| - -| - -| - -| - - - -
| | 0 | | | | 0 | 1 |
| - -| - - | | - -| - -|
| 1 | | | 1 | |
- - - - - - - - - - - -
Let "food" be Universe; m="sweet";
x="sugar"; y="salt".
All x are m; &there4 All x are y'.
All y are m'. All y are x'.
i.e. Sugar is not salt.
Salt is not sugar.
- - - - - - - -
| | |
| - -| - - |
| | 1 | 0 | |
27. | - -| - -| - -| - -| - - - -
| | | 0 | | | 1 | |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "Things" be Universe; m="eggs";
x="hard-boiled"; y="crackable".
Some m are x; &there4 Some x are y.
No m are y'.
i.e. Some hard-boiled things can be cracked.
- - - - - - - -
| 0 | |
| - -| - - |
| | 0 | 0 | |
28. | - -| - -| - -| - -| - - - -
| | | | | | 0 | |
| - -| - - | | - -| - -|
| 0 | | | | |
- - - - - - - - - - - -
Let "persons" be Universe; m="Jews"; x="that
are in the house"; y="that are in the garden".
No m are x; &there4 No x are y.
No m' are y.
i.e. No persons, that are in the house, are also in
the garden.
- - - - - - - -
| 0 | 0 |
| - -| - - |
| | - | |
29. | - -| - -| - -| - -| - - - -
| | | | | | | |
| - -| - - | | - -| - -|
| 1 | 0 | | 1 | |
- - - - - - - - - - - -
Let "Things" be Universe; m="noisy";
x="battles"; y="that may escape notice".
All x are m; &there4 Some x' are y.
All m' are y.
i.e. Some things, that are not battles, may escape notice.
- - - - - - - -
| 0 | |
| - -| - - |
| | 0 | 0 | |
30. | - -| - -| - -| - -| - - - -
| | 1 | | | | 0 | |
| - -| - - | | - -| - -|
| 0 | | | 1 | |
- - - - - - - - - - - -
Let "persons" be Universe; m="Jews";
x="mad"; y="Rabbis".
No m are x; &there4 All y are x'.
All y are m.
i.e. All Rabbis are sane.
- - - - - - - -
| | |
| - -| - - |
| | 1 | | |
31. | - -| - -| - -| - -| - - - -
| | 0 | 0 | | | 1 | |
| - -| - - | | - -| - -|
| | | | | |
- - - - - - - - - - - -
Let "Things" be Universe; m="fish";
x="that can swim"; y="skates".
No m are x'; &there4 Some y are x.
Some y are m.
i.e. Some skates can swim.
- - - - - - - -
| | |
| - -| - - |
| | 0 | 0 | |
32. | - -| - -| - -| - -| - - - -
| | 1 | | | | | |
| - -| - - | | - -| - -|
| | | | 1 | |
- - - - - - - - - - - -
Let "people" be Universe; m="passionate";
x="reasonable"; y="orators".
All m are x'; &there4 Some y are x'.
Some y are m.
i.e. Some orators are unreasonable.
[See remarks on No. 7, p. 60.]
CHAPTER IV.
HIT OR MISS.
"Thou canst not hit it, hit it, hit it,
Thou canst not hit it, my good man."
__________
1. Pain is wearisome; No pain is eagerly wished for.
2. No bald person needs a hair-brush; No lizards have hair.
3. All thoughtless people do mischief; No thoughtful person
forgets a promise.
4. I do not like John; Some of my friends like John.
5. No potatoes are pine-apples; All pine-apples are nice.
6. No pins are ambitious; No needles are pins.
7. All my friends have colds; No one can sing who has a cold.
8. All these dishes are well-cooked; Some dishes are unwholesome
if not well-cooked.
9. No medicine is nice; Senna is a medicine.
10. Some oysters are silent; No silent creatures are amusing.
11. All wise men walk on their feet; All unwise men walk on
their hands.
12. "Mind your own business; This quarrel is no business of
yours."
13. No bridges are made of sugar; Some bridges are picturesque.
14. No riddles interest me that can be solved; All these
riddles are insoluble.
15. John is industrious; All industrious people are happy.
16. No frogs write books; Some people use ink in writing
books.
17. No pokers are soft; All pillows are soft.
18. No antelope is ungraceful; Graceful animals delight the
eye.
19. Some uncles are ungenerous; All merchants are generous.
20. No unhappy people chuckle; No happy people groan.
21. Audible music causes vibration in the air; Inaudible
music is not worth paying for.
22. He gave me five pounds; I was delighted.
23. No old Jews are fat millers; All my friends are old
millers.
24. Flour is good for food; Oatmeal is a kind of flour.
25. Some dreams are terrible; No lambs are terrible.
26. No rich man begs in the street; All who are not rich
should keep accounts.
27. No thieves are honest; Some dishonest people are found
out.
28. All wasps are unfriendly; All puppies are friendly.
29. All improbable stories are doubted; None of these
stories are probable.
30. "He told me you had gone away." "He never says one word
of truth."
31. His songs never last an hour; A song, that lasts an
hour, is tedious.
32. No bride-cakes are wholesome; Unwholesome food should
be avoided.
33. No old misers are cheerful; Some old misers are thin.
34. All ducks waddle; Nothing that waddles is graceful.
35. No Professors are ignorant; Some ignorant people are
conceited.
36. Toothache is never pleasant; Warmth is never unpleasant.
37. Bores are terrible; You are a bore.
38. Some mountains are insurmountable; All stiles can be
surmounted.
39. No Frenchmen like plumpudding; All Englishmen like
plumpudding.
40. No idlers win fame; Some painters are not idle.
41. No lobsters are unreasonable; No reasonable creatures
expect impossibilities.
42. No kind deed is unlawful; What is lawful may be done
without fear.
43. No fossils can be crossed in love; Any oyster may be
crossed in love.
44. "This is beyond endurance!" "Well, nothing beyond
endurance has ever happened to me."
45. All uneducated men are shallow; All these students are
educated.
46. All my cousins are unjust; No judges are unjust.
47. No country, that has been explored, is infested
by dragons; Unexplored countries are fascinating.
48. No misers are generous; Some old men are not generous.
49. A prudent man shuns hyaenas; No banker is imprudent.
50. Some poetry is original; No original work is producible
at will.
51. No misers are unselfish; None but misers save egg-shells.
52. All pale people are phlegmatic; No one, who is not
pale, looks poetical.
53. All spiders spin webs; Some creatures, that do not spin
webs, are savage.
54. None of my cousins are just; All judges are just.
55. John is industrious; No industrious people are unhappy.
56. Umbrellas are useful on a journey; What is useless on
a journey should be left behind.
57. Some pillows are soft; No pokers are soft.
58. I am old and lame; No old merchant is a lame gambler.
59. No eventful journey is ever forgotten; Uneventful
journeys are not worth writing a book about.
60. Sugar is sweet; Some sweet things are liked by children.
61. Richard is out of temper; No one but Richard can ride
that horse.
62. All jokes are meant to amuse; No Act of Parliament is
a joke.
63. "I saw it in a newspaper." "All newspapers tell lies."
64. No nightmare is pleasant; Unpleasant experiences are
not anxiously desired.
65. Prudent travellers carry plenty of small change; Imprudent
travellers lose their luggage.
66. All wasps are unfriendly; No puppies are unfriendly.
67. He called here yesterday; He is no friend of mine.
68. No quadrupeds can whistle; Some cats are quadrupeds.
69. No cooked meat is sold by butchers; No uncooked meat
is served at dinner.
70. Gold is heavy; Nothing but gold will silence him.
71. Some pigs are wild; There are no pigs that are not fat.
72. No emperors are dentists; All dentists are dreaded by
children.
73. All, who are not old, like walking; Neither you nor I
are old.
74. All blades are sharp; Some grasses are blades.
75. No dictatorial person is popular; She is dictatorial.
76. Some sweet things are unwholesome; No muffins are sweet.
77. No military men write poetry; No generals are civilians.
78. Bores are dreaded; A bore is never begged to prolong
his visit.
79. All owls are satisfactory; Some excuses are unsatisfactory.
80. All my cousins are unjust; All judges are just.
81. Some buns are rich; All buns are nice.
82. No medicine is nice; No pills are unmedicinal.
83. Some lessons are difficult; What is difficult needs
attention.
84. No unexpected pleasure annoys me; Your visit is an
unexpected pleasure.
85. Caterpillars are not eloquent; Jones is eloquent.
86. Some bald people wear wigs; All your children have
hair.
87. All wasps are unfriendly; Unfriendly creatures are
always unwelcome.
88. No bankrupts are rich; Some merchants are not bankrupts.
89. Weasels sometimes sleep; All animals sometimes sleep.
90. Ill-managed concerns are unprofitable; Railways are
never ill-managed.
91. Everybody has seen a pig; Nobody admires a pig.
______________
Extract a Pair of Premisses out of each of the following: and
deduce the Conclusion, if there is one: -
92. "The Lion, as any one can tell you who has been chased by them
as often as I have, is a very savage animal: and there are certain
individuals among them, though I will not guarantee it as a general
law, who do not drink coffee."
93. "It was most absurd of you to offer it! You might have known,
if you had had any sense, that no old sailors ever like gruel!"
"But I thought, as he was an uncle of yours - "
"An uncle of mine, indeed! Stuff!"
"You may call it stuff, if you like. All I know is, MY uncles are
all old men: and they like gruel like anything!"
"Well, then YOUR uncles are - "
94. "Do come away! I can't stand this squeezing any more. No
crowded shops are comfortable, you know very well."
"Well, who expects to be comfortable, out shopping?"
"Why, I do, of course! And I'm sure there are some shops, further
down the street, that are not crowded. So - "
95. "They say no doctors are metaphysical organists: and that lets
me into a little fact about YOU, you know."
"Why, how do you make THAT out? You never heard me play the organ."
"No, doctor, but I've heard you talk about Browning's poetry: and
that showed me that you're METAPHYSICAL, at any rate. So - "
___________________
Extract a Syllogism out of each of the following: and
test its correctness: -
96. "Don't talk to me! I've known more rich merchants than you
have: and I can tell you not ONE of them was ever an old miser
since the world began!"
"And what has that got to do with old Mr. Brown?"
"Why, isn't he very rich?"
"Yes, of course he is. And what then?"
"Why, don't you see that it's absurd to call him a miserly merchant?
Either he's not a merchant, or he's not a miser!"
97. "It IS so kind of you to enquire! I'm really feeling a great
deal better to-day."
"And is it Nature, or Art, that is to have the credit of this happy
change?"
"Art, I think. The Doctor has given me some of that patent medicine
of his."
"Well, I'll never call him a humbug again. There's SOMEBODY, at
any rate, that feels better after taking his medicine!"
98. "No, I don't like you one bit. And I'll go and play with my
doll. DOLLS are never unkind."
"So you like a doll better than a cousin? Oh you little silly!"
"Of course I do! COUSINS are never kind - at least no cousins I've
ever seen."
"Well, and what does THAT prove, I'd like to know! If you mean
that cousins aren't dolls, who ever said they were?"
99. "What are you talking about geraniums for? You can't tell
one flower from another, at this distance! I grant you they're
all RED flowers: it doesn't need a telescope to know THAT."
"Well, some geraniums are red, aren't they?"
"I don't deny it. And what then? I suppose you'll be telling me
some of those flowers are geraniums!"
"Of course that's what I should tell you, if you'd the sense to
follow an argument! But what's the good of proving anything to
YOU, I should like to know?"
100. "Boys, you've passed a fairly good examination, all things
considered. Now let me give you a word of advice before I go.
Remember that all, who are really anxious to learn, work HARD."
"I thank you, Sir, in the name of my scholars! And proud am I to
think there are SOME of them, at least, that are really ANXIOUS to
learn."
"Very glad to hear it: and how do you make it out to be so?"
"Why, Sir, I know how hard they work - some of them, that is. Who
should know better?"
___________________
Extract from the following speech a series of Syllogisms, or
arguments having the form of Syllogisms: and test their correctness.
It is supposed to be spoken by a fond mother, in answer to a friend's
cautious suggestion that she is perhaps a LITTLE overdoing it, in
the way of lessons, with her children.
101. "Well, they've got their own way to make in the world. WE
can't leave them a fortune apiece. And money's not to be had, as
YOU know, without money's worth: they must WORK if they want to
live. And how are they to work, if they don't know anything? Take
my word for it, there's no place for ignorance in THESE times! And
all authorities agree that the time to learn is when you're young.
One's got no memory afterwards, worth speaking of. A child will
learn more in an hour than a grown man in five. So those, that
have to learn, must learn when they're young, if ever they're to
learn at all. Of course that doesn't do unless children are HEALTHY:
I quite allow THAT. Well, the doctor tells me no children are
healthy unless they've got a good colour in their cheeks. And only
just look at my darlings! Why, their cheeks bloom like peonies!
Well, now, they tell me that, to keep children in health, you
should never give them more than six hours altogether at lessons
in the day, and at least two half-holidays in the week. And that's
EXACTLY our plan I can assure you! We never go beyond six hours,
and every Wednesday and Saturday, as ever is, not one syllable of
lessons do they do after their one o'clock dinner! So how you can
imagine I'm running any risk in the education of my precious pets
is more than I can understand, I promise you!"
THE END.