Combining Texts

All the ideas for 'Continuity and Irrational Numbers', 'Political Liberalism' and 'Prisoner's Dilemma'

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13 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Self-interest can fairly divide a cake; first person cuts, second person chooses [Poundstone]
23. Ethics / B. Contract Ethics / 6. Game Theory
Formal game theory is about maximising or minimising numbers in tables [Poundstone]
The minimax theorem says a perfect game of opposed people always has a rational solution [Poundstone]
23. Ethics / B. Contract Ethics / 7. Prisoner's Dilemma
Two prisoners get the best result by being loyal, not by selfish betrayal [Poundstone]
The tragedy in prisoner's dilemma is when two 'nice' players misread each other [Poundstone]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
TIT FOR TAT says cooperate at first, then do what the other player does [Poundstone]
Do unto others as you would have them do unto you - or else! [Poundstone]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Check your rationality by thinking of your opinion pronounced by the supreme court [Rawls]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Power is only legitimate if it is reasonable for free equal citizens to endorse the constitution [Rawls]