Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'On Husserl'

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8 ideas

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

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

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

17837

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

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

9. Objects / C. Structure of Objects / 6. Constitution of an Object

6019	If someone squashed a horse to make a dog, something new would now exist [Mnesarchus]

11. Knowledge Aims / C. Knowing Reality / 4. Solipsism

21227

The Cogito demands a bridge to the world, and ends in isolating the ego [Velarde-Mayol]

12. Knowledge Sources / B. Perception / 3. Representation

21215

The representation may not be a likeness [Velarde-Mayol]

26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences

21219

Find the essence by varying an object, to see what remains invariable [Velarde-Mayol]