Selected Mathematical Works by Lewis Carroll

Author:Lewis Carroll [Carroll, Lewis]
Language: eng
Format: epub
ISBN: 9788026805182
Publisher: e-artnow Editions
Published: 2014-02-23T16:00:00+00:00

§ 2.

Method of Diagrams.

SL4-ASolutions for § 4, Nos. 1–12.

1.

No m are x′;

All m′ are y.

∴ No x′ are y′.

2.

No m′ are x;

Some m′ are y′.

∴ Some x are y′.

3.

All m′ are x;

All m′ are y′.

∴ Some x are y′.

4.

No x′ are m′;

All y′ are m.

There is no Conclusion.

5.

Some m are x′;

No y are m.

∴ Some x′ are y′.

6.

No x′ are m;

No m are y.

There is no Conclusion.

7.

No m are x′;

Some y′ are m.

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