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CHAPTER II.. _propositions of Existence._

Symbolic Logic · Lewis Carroll — chapter 25 of 49 · ~179 words · public domain

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PROPOSITIONS OF EXISTENCE.

A '=Proposition of Existence=', when in normal form, has, for its Subject, the Class "existing Things".

Its Sign of Quantity is "Some" or "No".

It is called "a Proposition of Existence" because its effect is to assert the Reality (i.e. the real existence), or else the Imaginariness, of its Predicate.

This is the normal form; but it may also be expressed in any one of the following forms:--

(1) "Honest men exist"; (2) "Some honest men exist"; (3) "The Class 'honest men' exists"; (4) "There are honest men"; (5) "There are some honest men".

Similarly, the Proposition "No existing Things are men fifty feet high" asserts that the Class "men 50 feet high" is Imaginary.

This is the normal form; but it may also be expressed in any one of the following forms:--

(1) "Men 50 feet high do not exist"; (2) "No men 50 feet high exist"; (3) "The Class 'men 50 feet high' does not exist"; (4) "There are not any men 50 feet high"; (5) "There are no men 50 feet high."]

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