Combining Texts

All the ideas for 'Positivism and Realism', 'Review of Chihara 'Struct. Accnt of Maths'' and 'talk'

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9 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
Aristotle is a buffoon who has misled the Church [Luther, by MacIntyre]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
The empiricist says that metaphysics is meaningless, rather than false [Schlick]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
With respect to religion, reason is a blind whore [Luther]