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All the ideas for 'Perception', 'Precis of 'Limits of Abstraction'' and 'Frege's Concept of Numbers as Objects'

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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 / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
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]
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
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 / 6. Physicalism
For physicalists, the only relations are spatial, temporal and causal [Robinson,H]
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 / 6. Categorical Properties
If reality just has relational properties, what are its substantial ontological features? [Robinson,H]
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 / C. Knowing Reality / 1. Perceptual Realism / a. Naďve realism
When a red object is viewed, the air in between does not become red [Robinson,H]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / c. Representative realism
Representative realists believe that laws of phenomena will apply to the physical world [Robinson,H]
Representative realists believe some properties of sense-data are shared by the objects themselves [Robinson,H]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Phenomenalism can be theistic (Berkeley), or sceptical (Hume), or analytic (20th century) [Robinson,H]
12. Knowledge Sources / B. Perception / 1. Perception
Can we reduce perception to acquisition of information, which is reduced to causation or disposition? [Robinson,H]
Would someone who recovered their sight recognise felt shapes just by looking? [Robinson,H]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Secondary qualities have one sensory mode, but primary qualities can have more [Robinson,H]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
We say objects possess no intrinsic secondary qualities because physicists don't need them [Robinson,H]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
If objects are not coloured, and neither are sense-contents, we are left saying that nothing is coloured [Robinson,H]
Shape can be experienced in different ways, but colour and sound only one way [Robinson,H]
If secondary qualities match senses, would new senses create new qualities? [Robinson,H]
12. Knowledge Sources / B. Perception / 3. Representation
Most moderate empiricists adopt Locke's representative theory of perception [Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense-data leads to either representative realism or phenomenalism or idealism [Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Sense-data do not have any intrinsic intentionality [Robinson,H]
For idealists and phenomenalists sense-data are in objects; representative realists say they resemble objects [Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Sense-data are rejected because they are a veil between us and reality, leading to scepticism [Robinson,H]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
'Sense redly' sounds peculiar, but 'senses redly-squarely tablely' sounds far worse [Robinson,H]
Adverbialism sees the contents of sense-experience as modes, not objects [Robinson,H]
If there are only 'modes' of sensing, then an object can no more be red or square than it can be proud or lazy. [Robinson,H]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
An explanation presupposes something that is improbable unless it is explained [Robinson,H]
If all possibilities are equal, order seems (a priori) to need an explanation - or does it? [Robinson,H]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
If intentional states are intrinsically about other things, what are their own properties? [Robinson,H]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Physicalism cannot allow internal intentional objects, as brain states can't be 'about' anything [Robinson,H]
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
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
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]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Locke's solidity is not matter, because that is impenetrability and hardness combined [Robinson,H]