Combining Texts

All the ideas for 'Defending the Axioms', 'On Simple Theories of a Complex World' and 'Hermeneutics: a very short introduction'

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15 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
We take part in objective truth, rather than observe it from a distance [Zimmermann,J]
Hermeneutic knowledge is not objective, but embraces interpretations [Zimmermann,J]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
12. Knowledge Sources / B. Perception / 1. Perception
In phenomenology, all perception is 'seeing as' [Zimmermann,J]
14. Science / B. Scientific Theories / 1. Scientific Theory
It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine]
There are four suspicious reasons why we prefer simpler theories [Quine]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
The hermeneutic circle is between the reader's self-understanding, and the world of the text [Zimmermann,J]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law theorists fear that without morality, law could be based on efficiency [Zimmermann,J]
29. Religion / B. Monotheistic Religion / 2. Judaism
Traditionally, God dictated the Torah to Moses, unlike the later biblical writings [Zimmermann,J]