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قراءة كتاب The Game of Logic
تنويه: تعرض هنا نبذة من اول ١٠ صفحات فقط من الكتاب الالكتروني، لقراءة الكتاب كاملا اضغط على الزر “اشتر الآن"
x (that is, "new Cakes") as your Subject, and to regard No. 5 as part of a HORIZONTAL oblong, you may read it "some x are y", that is, "some new Cakes are nice": but, if you choose to take y (that is, "nice Cake") as your Subject, and to regard No. 5 as part of an UPRIGHT oblong, THEN you may read it "some y are x", that is, "some nice Cakes are new". They are merely two different ways of expressing the very same truth.
Without more words, I will simply set down the other ways in which this upright oblong might be marked, adding the meaning in each case. By comparing them with the various cases of the horizontal oblong, you will, I hope, be able to understand them clearly.
You will find it a good plan to examine yourself on this table, by covering up first one column and then the other, and 'dodging about', as the children say.
Also you will do well to write out for yourself two other tables--one for the LOWER half of the cupboard, and the other for its RIGHT-HAND half.
And now I think we have said all we need to say about the smaller Diagram, and may go on to the larger one.
|
Symbols. | Meanings.
_______________|_________________________________
----- |
| | |
| | | Some y are x';
| | | i.e. Some nice are not-new.
----- |
| | |
| 1 | |
| | |
----- |
|
----- |
| | | No y are x;
| 0 | | i.e. No nice are new.
| | |
----- | [Observe that this is merely another way of
| | | expressing "No new are nice."]
| | |
| | |
----- |
|
----- |
| | |
| | | No y are x';
| | | i.e. No nice are not-new.
----- |
| | |
| 0 | |
| | |
----- |
|
----- |
| | |
| 1 | | Some y are x, and some are x';
| | | i.e. Some nice are new, and some are
----- | not-new.
| | |
| 1 | |
| | |
----- |
|
----- |
| | |
| 0 | | No y are x, and none are x'; i.e. No y
| | | exist;
----- | i.e. No Cakes are nice.
| | |
| 0 | |
| | |
----- |
|
----- |
| | |
| 1 | | All y are x;
| | | i.e. All nice are new.
----- |
| | |
| 0 | |
| | |
----- |
|
----- |
| | |
| 0 | | All y are x';
| | | i.e. All nice