What is true for nothing is false for anything

LANGER, SUSANNE K (1953)(1967) An Introduction to Symbolic Logic, Dover Publications, New York.

Universe class

'Suppose in a given universe of discourse, we form a class A such that "x ε A" holds for all values of x, i.e. such that  (x) : x ε A." (123).

This means x is equal to A.

ε is epsilon from the Greek alphabet meaning is, a. The ε symbol, according to Langer is specifically meant as a symbol for is, a, in contrast with any symbol for is.

Langer, noting earlier in her text, mentions 'nt' which is documented as houses north of. (123).

nt = north of

˜ = not

(x) : ˜ (x nt x) (123).

x is not north of x.

(v): ˜ (v nt v)

Vancouver is not north of Vancouver. Something is not north of itself.

Langer states this is a universe class. (123). Any statement about everything concerns a universe class. (123). Every statement about nothing is also a universe class. (124). Langer writes that what is 'true for nothing is false for anything.' (124).

My example:

It is not true that the finite is infinite.

It is false that anything finite is infinite.