Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Liberalism and the Limits of Justice' and 'works'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Choosers in the 'original position' have been stripped of most human characteristics [Sandel, by Tuckness/Wolf]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The self is 'unencumbered' if it can abandon its roles and commitments without losing identity [Sandel, by Shorten]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]