Combining Philosophers

All the ideas for Eubulides, Antonio Gramsci and Gerhard Gentzen

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16 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]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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 / B. Nature of a State / 1. Purpose of a State
The state should produce higher civilisations for all, in tune with the economic apparatus [Gramsci]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
Eventually political parties lose touch with the class they represent, which is dangerous [Gramsci]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Caesarism emerges when two forces in society are paralysed in conflict [Gramsci]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Totalitarian parties cut their members off from other cultural organisations [Gramsci]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
What is the function of a parliament? Does it even constitute a part of the State structure? [Gramsci]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberalism's weakness is its powerful rigid bureaucracy [Gramsci]
25. Social Practice / B. Equalities / 2. Political equality
Perfect political equality requires economic equality [Gramsci]