|Sets: a set is a summary of objects relating to a property. In the set theory, conditions are established for the formation of sets. In general, sets of numbers are considered. Everyday objects as elements of sets are special cases and are called primordial elements. Sets are, in contrast to e.g. sequences not ordered, i.e. no order is specified for the consideration of the elements. See also element relation, sub-sets, set theory, axioms.|
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|I 215 ~
Classes/Geach: must not be treated as objects (> paradoxes) - Solution:
I 215 ~
Relation/Geach: instead of a class: solution to problems - a class may be no object (> paradoxes) Relation: E.g. diameter/Plate: - E.g. father-son-grandson: same relation, but no common subject.
"is a..."/Geach: no logical relation between an x and an object (class) called "man".
Classes/Geach: can be viewed as an object only when we say, "the class of A’s may be the same as the class of the B’s, although something is an A, without being a B".
Logic Matters Oxford 1972