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All the ideas for 'Frege's Concept of Numbers as Objects', 'Mind in a Physical World' and 'Entity and Identity'

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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]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim]
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
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 / C. Structure of Existence / 2. Reduction
Reductionism is good on light, genes, temperature and transparency [Kim, by PG]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is linked to dependence [Kim]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Mereological supervenience says wholes are fixed by parts [Kim]
7. Existence / D. Theories of Reality / 3. Reality
Causal power is a good way of distinguishing the real from the unreal [Kim]
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]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Properties can have causal powers lacked by their constituents [Kim]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
We need a logical use of 'object' as predicate-worthy, and an 'ontological' use [Strawson,P]
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]
9. Objects / D. Essence of Objects / 3. Individual Essences
It makes no sense to ask of some individual thing what it is that makes it that individual [Strawson,P]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
There are two contradictory arguments about everything [Kim]
Protagoras says arguments on both sides are always equal [Kim, by Seneca]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Not every person is the measure of all things, but only wise people [Plato on Kim]
Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
It seems impossible that an exact physical copy of this world could lack intentionality [Kim]
17. Mind and Body / C. Functionalism / 1. Functionalism
Intentionality as function seems possible [Kim]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Maybe intentionality is reducible, but qualia aren't [Kim]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Emergentism says there is no explanation for a supervenient property [Kim]
The only mental property that might be emergent is that of qualia [Kim]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Non-Reductive Physicalism relies on supervenience [Kim]
Maybe strong supervenience implies reduction [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Identity theory was overthrown by multiple realisations and causal anomalies [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Multiple realisation applies to other species, and even one individual over time [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
Knowledge and inversion make functionalism about qualia doubtful [Kim]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Emotions have both intentionality and qualia [Kim]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
A concept is only a sortal if it gives genuine identity [Wright,C]
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [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 / 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]