Combining Texts

All the ideas for 'Models and Reality', 'Formal and Transcendental Logic' and 'Foucault: a very short introduction'

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9 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
Since Kant, self-criticism has been part of philosophy [Gutting]
1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
Structuralism describes human phenomena in terms of unconscious structures [Gutting]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]
V = L just says all sets are constructible [Putnam]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logicians presuppose a world, and ignore logic/world connections, so their logic is impure [Husserl, by Velarde-Mayol]
Phenomenology grounds logic in subjective experience [Husserl, by Velarde-Mayol]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Pure mathematics is the relations between all possible objects, and is thus formal ontology [Husserl, by Velarde-Mayol]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
It is unfashionable, but most mathematical intuitions come from nature [Putnam]