Combining Texts

All the ideas for 'Review of Chihara 'Struct. Accnt of Maths'', 'Whitehead: process and cosmology' and 'Representative Government'

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11 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics attempts to give an account of everything, in terms of categories and principles [Simons]
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]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
How people vote should be on public record, so they can be held accountable [Mill, by Wolff,J]
Voting is a strict duty, like jury service, and must only be aimed at the public good [Mill]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Direct democracy is inexperience judging experience, and ignorance judging knowledge [Mill]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
People can only participate in decisions in small communities, so representatives are needed [Mill]