Combining Texts

All the ideas for 'Logical Investigations', 'Introduction to Zermelo's 1930 paper' and 'Summa quaestionum super Sententias'

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11 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology is the science of essences - necessary universal structures for art, representation etc. [Husserl, by Polt]
Bracketing subtracts entailments about external reality from beliefs [Husserl, by Putnam]
Phenomenology aims to describe experience directly, rather than by its origins or causes [Husserl, by Mautner]
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]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations do not add anything to reality, though they are real aspects of the world [Olivi]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity just adds union and location to the extension of parts [Olivi]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Husserl says we have intellectual intuitions (of categories), as well as of the senses [Husserl, by Velarde-Mayol]
27. Natural Reality / G. Biology / 5. Species
Things are limited by the species to certain modes of being [Olivi]