Combining Texts

All the ideas for 'Logical Consequence', 'Grundrisse' and 'Political Philosophy: all that matters'

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13 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
World government needs a shared global identity [Oksala]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
The principles Rawls arrives at do not just conform to benevolence, but also result from choices [Oksala]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
The real will of the cooperative will replace the 'will of the people' [Marx]
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchists prefer local and communal government [Oksala]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Utilitarianism neglects responsibility, duties and rights [Oksala]