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All the ideas for 'Explaining the A Priori', 'Frege's Concept of Numbers as Objects' and 'The Idea of Justice'

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60 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C]
2. Reason / A. Nature of Reason / 4. Aims of Reason
What justifies reliance on reason? Is it just a tool? Why is it better than blind belief? [Sen]
2. Reason / A. Nature of Reason / 5. Objectivity
In politics and ethics, scrutiny from different perspectives is essential for objectivity [Sen]
2. Reason / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
There are five Peano axioms, which can be expressed informally [Wright,C]
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
What facts underpin the truths of the Peano axioms? [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Number platonism says that natural number is a sortal concept [Wright,C]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Treating numbers adjectivally is treating them as quantifiers [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C]
The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C]
The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Rationality is conformity to reasons that can be sustained even after scrutiny [Sen]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C]
A concept is only a sortal if it gives genuine identity [Wright,C]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The concept 'red' is tied to what actually individuates red things [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A milder claim is that understanding requires some evidence of that understanding [Wright,C]
19. Language / B. Reference / 1. Reference theories
If apparent reference can mislead, then so can apparent lack of reference [Wright,C]
19. Language / C. Assigning Meanings / 3. Predicates
We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C]
23. Ethics / B. Contract Ethics / 9. Contractualism
A human right is not plausible if public scrutiny might reject it [Sen]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
The original position insures that the agreements reached are fair [Sen]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
The veil of ignorance encourages neutral interests, but not a wider view of values [Sen]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
A social contract limits the pursuit of justice to members of a single society [Sen]
24. Political Theory / B. Nature of a State / 4. Citizenship
A person's voice may count because of their interests, or because of their good sense [Sen]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Famines tend to be caused by authoritarian rule [Sen]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Effective democracy needs tolerant values [Sen]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
Democracy needs more than some institutions; diverse sections of the people must be heard [Sen]
Democracy as 'government by discussion' now has wide support [Sen]
24. Political Theory / D. Ideologies / 13. Green Politics
Eradicating smallpox does not impoverish nature [Sen]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Freedom can involve capabilities, independence and non-interference [Sen]
Capabilities are part of freedom, involving real opportunities [Sen]
25. Social Practice / B. Equalities / 1. Grounds of equality
The need for equality among people arises from impartiality and objectivity [Sen]
All modern theories of justice demand equality of something [Sen]
25. Social Practice / C. Rights / 1. Basis of Rights
Freedom from torture or terrorist attacks is independent of citizenship [Sen]
25. Social Practice / D. Justice / 1. Basis of justice
If justice needs public reasoning, which needs democracy, then justice and democracy are linked [Sen]
You don't need a complete theory of justice to see that slavery is wrong [Sen]
Practical justice concerns not only ideals, but ways to achieve them [Sen]
Our institutions should promote justice, rather than embodying it [Sen]
We must focus on removing manifest injustice, not just try to design a perfect society [Sen]