Sentence examples for class of classes from inspiring English sources

In "Is the class of classes not subordinate to themselves subordinate to itself?" (1914) Leśniewski offers his first published analysis of Russell's Paradox, claiming that 'the class of As' refers to the unique mereological sum of As, so that since every object is subordinate to itself, no class of objects is not subordinate to itself, and Russell's Paradox fails to arise.

There is certainly no thought that series are merely invented "fictions", and the symbol 'Ser' for them is "incomplete" only in that it can be explicitly defined as the intersection of other classes (a class of classes) and classes are themselves "incomplete".

The chapter discusses recent developments and successes in the design, synthesis, and optimization of different chemical classes of class I and II HDAC inhibitors.

The most important tests are the double talk-tests (preceding with DT-) which have all passed with the highest class of class 1.

Mutator (Mu) transposable elements are a major class of class II transposons identified in maize by Donald Robertson (1978 , 1981.

The simple "extensional" hierarchy of individuals, classes, classes of classes, … is then enough.

Alternative simpler formulations, which retain only the notion of classes, classes of classes, etc., were formulated by Gödel and Tarski.

One cannot quantify over sequences of: sequences of individuals, sequences of classes of individuals, sequences of classes of classes of individuals, etc.; and one cannot quantify over relations among formulae and sequences of: sequences of individuals, sequences of classes of individuals, sequences of classes of classes of individuals, etc.

The next type consists of classes or ranges of individuals; then one has classes of classes of objects of the lowest type, and so on.

Variables for classes of individuals (all the variables of LCC) are of order 2. Variables for classes of classes of individuals are of order 3, and so on.

The relation of satisfaction for LGTC is intuitively a relation among formulae and sequences of: sequences of individuals, sequences of classes of individuals, sequences of classes of classes of individuals, etc.