Combining Texts

All the ideas for 'works', 'Begriffsschrift' and 'Political Philosophy (3rd ed)'

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45 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege changed philosophy by extending logic's ability to check the grounds of thinking [Potter on Frege]
2. Reason / B. Laws of Thought / 1. Laws of Thought
We should not describe human laws of thought, but how to correctly track truth [Frege, by Fisher]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
For Frege, 'All A's are B's' means that the concept A implies the concept B [Frege, by Walicki]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner]
The laws of logic are boundless, so we want the few whose power contains the others [Frege]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
In 1879 Frege developed second order logic [Frege, by Putnam]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
5. Theory of Logic / G. Quantification / 1. Quantification
A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
For Frege the variable ranges over all objects [Frege, by Tait]
Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Frege introduced quantifiers for generality [Frege, by Weiner]
Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
Proof theory began with Frege's definition of derivability [Frege, by Prawitz]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Existence is not a first-order property, but the instantiation of a property [Frege, by Read]
19. Language / C. Assigning Meanings / 4. Compositionality
Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
We should respect the right of people to live in their own way, even if it is irrational [Swift]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Anti-colonial movements usually invoke the right of their 'people' to self-determination [Swift]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Isn't it more rational to maximise the average position, but with a safety net? [Swift]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Hypothetical contracts have no binding force [Swift]
24. Political Theory / B. Nature of a State / 4. Citizenship
Cosmopolitans reject the right of different states to distribute resources in different ways [Swift]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is bad, but the other systems are worse [Swift]
Since all opinions are treated as equal in democracy, it implies there are no right answers [Swift]
Design your democracy to treat citizens equally, or to produce better citizens? [Swift]
Design your democracy to yield political stability, or good decisions? [Swift]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Teledemocracy omits debate and deliberation, which are important parts of good decisions [Swift]
24. Political Theory / D. Ideologies / 6. Liberalism / f. Multiculturalism
Multiculturalism is a barrier to the whole state being a community [Swift]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals mistakenly think individuals choose their values, without reference to the community [Swift]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The best way to build a cohesive community is to be involved in a war [Swift]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Membership and inclusion in a community implies non-membership and exclusion [Swift]
Liberals are concerned to protect individuals from too much community [Swift]
24. Political Theory / D. Ideologies / 8. Socialism
Redistributing wealth treats some people as means, rather than as ends [Swift]
24. Political Theory / D. Ideologies / 12. Feminism
Men have had the power to structure all of our social institutions [Swift]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Maybe a freedom is from a restraint, and also in order to do something [Swift]
25. Social Practice / B. Equalities / 1. Grounds of equality
Opportunity should ignore extraneous factors, or foster competence, or ignore all disadvantages [Swift]
25. Social Practice / B. Equalities / 4. Economic equality
Inequalities are needed, as incentives to do the most important jobs [Swift]
A person can desire redistibution of wealth, without it being for reasons of equality [Swift]
25. Social Practice / C. Rights / 4. Property rights
You can't necessarily sell your legitimate right to something, even if you produced it [Swift]
Libertarians about property ignore the fact that private property is a denial of freedoms [Swift]
25. Social Practice / D. Justice / 1. Basis of justice
Justice can be seen as fairness or entitlement or desert [Swift]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The predicate 'exists' is actually a natural language expression for a quantifier [Frege, by Weiner]