Combining Texts

All the ideas for 'The Case for Closure', 'Begriffsschrift' and 'Contemporary Political Philosophy (1st edn)'

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53 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]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
The 'Kantian' self steps back from commitment to its social situation [Kymlicka]
19. Language / C. Assigning Meanings / 4. Compositionality
Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Teleological theories give the good priority over concern for people [Kymlicka]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Maybe the particularist moral thought of women is better than the impartial public thinking of men [Kymlicka]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism is not a decision-procedure; choice of the best procedure is an open question [Kymlicka]
One view says start with equality, and infer equal weight to interests, and hence maximum utility [Kymlicka]
A second view says start with maximising the good, implying aggregation, and hence equality [Kymlicka]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
To maximise utility should we double the population, even if life somewhat deteriorates? [Kymlicka]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
The difference principles says we must subsidise the costs of other people's choices [Kymlicka]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Social contract theories are usually rejected because there never was such a contract [Kymlicka]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Utilitarianism is no longer a distinctive political position [Kymlicka]
The quest of the general good is partly undermined by people's past entitlements [Kymlicka]
We shouldn't endorse preferences which reject equality, and show prejudice and selfishness [Kymlicka]
Using utilitarian principles to make decisions encourages cold detachment from people [Kymlicka]
Utilitarianism is irrational if it tells you to trade in your rights and resources just for benefits [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Modern liberalism has added personal privacy to our personal social lives [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Liberalism tends to give priority to basic liberties [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Marxists say liberalism is unjust, because it allows exploitation in the sale of labour [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The 'Kantian' view of the self misses the way it is embedded or situated in society [Kymlicka]
Communitarians say we should pay more attention to our history [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Communitarian states only encourage fairly orthodox ideas of the good life [Kymlicka]
25. Social Practice / A. Freedoms / 1. Slavery
If everyone owned himself, that would prevent slavery [Kymlicka]
25. Social Practice / A. Freedoms / 4. Free market
Libertarians like the free market, but they also think that the free market is just [Kymlicka]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The most valuable liberties to us need not be the ones with the most freedom [Kymlicka]
25. Social Practice / A. Freedoms / 6. Political freedom
Ancient freedom was free participation in politics, not private independence of life [Kymlicka]
25. Social Practice / B. Equalities / 2. Political equality
Equal opportunities seems fair, because your fate is from your choices, not your circumstances [Kymlicka]
Equal opportunity arbitrarily worries about social circumstances, but ignores talents [Kymlicka]
25. Social Practice / B. Equalities / 3. Legal equality
Marxists say justice is unneeded in the truly good community [Kymlicka]
25. Social Practice / C. Rights / 1. Basis of Rights
The Lockean view of freedom depends on whether you had a right to what is restricted [Kymlicka]
25. Social Practice / D. Justice / 1. Basis of justice
Justice corrects social faults, but also expresses respect to individuals as ends [Kymlicka]
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]