Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'works' and 'Whose Justice? Which Rationality?'

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8 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

11022

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

11065

The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]

11023

The logical connectives are 'defined' by their introduction rules [Gentzen]

11213

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

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

13. Knowledge Criteria / E. Relativism / 4. Cultural relativism

10356

Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch]

24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique

23080

Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre]