Combining Texts

All the ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'Nietzsche's System'

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11 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics aims at the essence of things, and a system to show how this explains other truths [Richardson]
Metaphysics needs systems, because analysis just obsesses over details [Richardson]
Metaphysics generalises the data, to get at the ontology [Richardson]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Humans dominate because, unlike other animals, they have a synthesis of conflicting drives [Richardson]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
26. Natural Theory / C. Causation / 7. Eliminating causation
A mind that could see cause and effect as a continuum would deny cause and effect [Richardson]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]