Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Contemporary Political Philosophy (2nd edn)' and 'Begriffsschrift'

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44 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 / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
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]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
19. Language / C. Assigning Meanings / 4. Compositionality
Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter]
24. Political Theory / B. Nature of a State / 4. Citizenship
Some liberals thinks checks and balances are enough, without virtuous citizens [Kymlicka]
Good citizens need civic virtues of loyalty, independence, diligence, respect, etc. [Kymlicka]
Liberals accept that people need society, but Aristotelians must show that they need political activity [Kymlicka]
Minimal liberal citizenship needs common civility, as well as mere non-interference [Kymlicka]
Modern non-discrimination obliges modern citizens to treat each other as equals [Kymlicka]
The right wing sees citizenship in terms of responsibility to earn a living, rather than rights [Kymlicka]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Modern democratic theory focuses on talk, not votes, because we need consensus or compromise [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
In a liberal democracy all subjects of authority have a right to determine the authority [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
We have become attached to private life because that has become greatly enriched [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberals must avoid an official culture, as well as an official religion [Kymlicka]
Liberals need more than freedom; they must build a nation, through a language and institutions [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / f. Multiculturalism
Some individuals can gain citizenship as part of a group, rather than as mere individuals [Kymlicka]
The status hierarchy is independent of the economic hierarchy [Kymlicka]
Some multiculturalists defended the rights of cohesive minorities against liberal individualism [Kymlicka]
'Culturalist' liberals say that even liberal individuals may need minority rights [Kymlicka]
Multiculturalism may entail men dominating women in minority groups [Kymlicka]
Liberals must prefer minority right which are freedoms, not restrictions [Kymlicka]
Why shouldn't national minorities have their own right to nation-build? [Kymlicka]
Multiculturalism is liberal if it challenges inequality, conservative if it emphasises common good [Kymlicka]
25. Social Practice / C. Rights / 1. Basis of Rights
Rights are a part of nation-building, to build a common national identity and culture [Kymlicka]
Rights derived from group membership are opposed to the idea of state citizenship [Kymlicka]
25. Social Practice / E. Policies / 3. Welfare provision
The welfare state helps to integrate the working classes into a national culture [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]