Combining Texts

All the ideas for 'External and Internal Relations', 'Intro to 'The Reason's Proper Study'' and 'Prisoner's Dilemma'

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16 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
8. Modes of Existence / A. Relations / 2. Internal Relations
A relation is internal if two things possessing the relation could not fail to be related [Moore,GE, by Heil]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Objects just are what singular terms refer to [Hale/Wright]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
19. Language / E. Analyticity / 2. Analytic Truths
Many conceptual truths ('yellow is extended') are not analytic, as derived from logic and definitions [Hale/Wright]
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]