Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Introduction to the Theory of Logic' and 'Events'

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7 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

10888

Sets can be defined by 'enumeration', or by 'abstraction' (based on a property) [Zalabardo]

17884

Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]

17893

'Reflection principles' say the whole truth about sets can't be captured [Koellner]

4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST

10889

The 'Cartesian Product' of two sets relates them by pairing every element with every element [Zalabardo]

10890

A 'partial ordering' is reflexive, antisymmetric and transitive [Zalabardo]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

10886

Determinacy: an object is either in a set, or it isn't [Zalabardo]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / l. Axiom of Specification

10887

Specification: Determinate totals of objects always make a set [Zalabardo]