Tag Archives: Plato

Categorical syllogism

Description

The basic form of the categorical syllogism is: If A is part of C then B is a part of C. (A and B are members of C).

Major premise

The major premise (the first statement) is a general statement of the form ‘All/none/some A are B’, for example:

All men are mortal.

This statement is not challenged and is assumed to be true.

Minor premise

The minor premise (the second statement) is also a statement about inclusion and is also assumed to be true. It is usually a specific statement, for example:

Socrates is a man.

It may also be a general statement with a reduced scope. Thus, for example, when the major premise takes the format of ‘all’, the minor premise may be ‘some’. The minor premise is also assumed to be true.

Conclusion

The conclusion is a third statement, based on a combination of the major and minor premise.

Socrates is mortal.

From the truth of the first two statements, a truth is created in this third statement. The trouble is that this ‘truth’ is not always true — yet it often appears to be quite a logical conclusion.

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Plato – The Timaeus

The Timaeus

The Composition of the Soul

"We shall therefore borrow all our Rules for the Finishing our Proportions, from the Musicians, who are the greatest Masters of this Sort of Numbers, and from those Things wherein Nature shows herself most excellent and compleat." Leon Battista Alberti (1407-1472).

arithmetic, geometric, harmonic means

arithmetic, geometric, harmonic means

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