Combining Texts

All the ideas for 'Apprehension: reason in absence of Rules', 'Introduction to Zermelo's 1930 paper' and 'Behaviorism'

expand these ideas     |    start again     |     specify just one area for these texts


6 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
I could take a healthy infant and train it up to be any type of specialist I choose [Watson,JB]