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All the ideas for 'Good and Evil', 'Frege's Concept of Numbers as Objects' and 'Thought'

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66 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 / 1. On Reason
Inference is never a conscious process [Harman]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Reasoning might be defined in terms of its functional role, which is to produce knowledge [Harman]
2. Reason / A. Nature of Reason / 9. Limits of Reason
If you believe that some of your beliefs are false, then at least one of your beliefs IS false [Harman]
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 / A. Overview of Logic / 1. Overview of Logic
Any two states are logically linked, by being entailed by their conjunction [Harman]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Deductive logic is the only logic there is [Harman]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
You don't have to accept the conclusion of a valid argument [Harman]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Our underlying predicates represent words in the language, not universal concepts [Harman]
Logical form is the part of a sentence structure which involves logical elements [Harman]
A theory of truth in a language must involve a theory of logical form [Harman]
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
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]
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
You have to reaffirm all your beliefs when you make a logical inference [Harman]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Analyticity is postulated because we can't imagine some things being true, but we may just lack imagination [Harman]
Only lack of imagination makes us think that 'cats are animals' is analytic [Harman]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Memories are not just preserved, they are constantly reinferred [Harman]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
People's reasons for belief are rarely conscious [Harman]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
We don't distinguish between accepting, and accepting as evidence [Harman]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
In negative coherence theories, beliefs are prima facie justified, and don't need initial reasons [Harman, by Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Coherence avoids scepticism, because it doesn't rely on unprovable foundations [Harman]
14. Science / C. Induction / 2. Aims of Induction
Induction is an attempt to increase the coherence of our explanations [Harman]
16. Persons / C. Self-Awareness / 2. Knowing the Self
We see ourselves in the world as a map [Harman]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Defining dispositions is circular [Harman]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Could a cloud have a headache if its particles formed into the right pattern? [Harman]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Are there any meanings apart from in a language? [Harman]
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 / 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 / 1. Meaning
Speech acts, communication, representation and truth form a single theory [Harman]
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 / A. Nature of Meaning / 8. Synonymy
There is only similarity in meaning, never sameness in meaning [Harman]
19. Language / A. Nature of Meaning / 9. Ambiguity
Ambiguity is when different underlying truth-conditional structures have the same surface form [Harman]
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]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth in a language is explained by how the structural elements of a sentence contribute to its truth conditions [Harman]
19. Language / D. Propositions / 1. Propositions
Sentences are different from propositions, since two sentences can express one proposition [Harman]
19. Language / E. Analyticity / 3. Analytic and Synthetic
The analytic/synthetic distinction is a silly division of thought into encyclopaedia and dictionary [Harman]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Many predicates totally resist translation, so a universal underlying structure to languages is unlikely [Harman]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]