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nydus/The Game of LogicPublic

This instructional book presents a logic game played with a diagram and nine counters. It explains how to express propositions through the relationship between things and their attributes.

Page 43 of 126
Table of Contents

NEW LAMPS FOR OLD.

and that these two, when combined, give us

                    -----------
                   |0    |     |
                   |   --|--   |
                   |  |0 | 0|  |
                   |--|--|--|--|
                   |  |  |  |  |
                   |   --|--   |
                   |0    |     |
                    -----------

We have now to mark the two positive portions, "some x are m'" and "some y are m".

The only two compartments, available for Things which are xm', are No. 9 and No. 10. Of these, No. 9 is already marked as 'empty'; so our red counter must go into No. 10.

Similarly, the only two, available for ym, are No. 11 and No. 13. Of these, No. 11 is already marked as 'empty'; so our red counter MUST go into No. 13.

The final result is

                    -----------
                   |0    |    1|
                   |   --|--   |
                   |  |0 | 0|  |
                   |--|--|--|--|
                   |  |1 |  |  |
                   |   --|--   |
                   |0    |     |
                    -----------
43