The Game of Logic eBook

This eBook from the Gutenberg Project consists of approximately 66 pages of information about The Game of Logic.

The Game of Logic eBook

This eBook from the Gutenberg Project consists of approximately 66 pages of information about The Game of Logic.

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.

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Project Gutenberg
The Game of Logic from Project Gutenberg. Public domain.