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All the ideas for 'Frege's Concept of Numbers as Objects', 'Theory of Knowledge (2nd edn)' and 'The Mind in Nature'

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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]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Most philosophers start with reality and then examine knowledge; Descartes put the study of knowledge first [Lehrer]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Ontology is highly abstract physics, containing placeholders and exclusions [Martin,CB]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
You cannot demand an analysis of a concept without knowing the purpose of the analysis [Lehrer]
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]
3. Truth / A. Truth Problems / 1. Truth
Truth is a relation between a representation ('bearer') and part of the world ('truthmaker') [Martin,CB]
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]
8. Modes of Existence / B. Properties / 9. Qualities
A property is a combination of a disposition and a quality [Martin,CB]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Properties are the respects in which objects resemble, which places them in classes [Martin,CB]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Properties are ways particular things are, and so they are tied to the identity of their possessor [Martin,CB]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Objects are not bundles of tropes (which are ways things are, not parts of things) [Martin,CB]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
A property that cannot interact is worse than inert - it isn't there at all [Martin,CB]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
If unmanifested partnerless dispositions are still real, and are not just qualities, they can explain properties [Martin,CB]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Properties endow a ball with qualities, and with powers or dispositions [Martin,CB]
Qualities and dispositions are aspects of properties - what it exhibits, and what it does [Martin,CB]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions in action can be destroyed, be recovered, or remain unchanged [Martin,CB]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
Powers depend on circumstances, so can't be given a conditional analysis [Martin,CB]
'The wire is live' can't be analysed as a conditional, because a wire can change its powers [Martin,CB]
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 / C. Structure of Objects / 1. Structure of an Object
Structural properties involve dispositionality, so cannot be used to explain it [Martin,CB]
Structures don't explain dispositions, because they consist of dispositions [Martin,CB]
9. Objects / C. Structure of Objects / 7. Substratum
I favour the idea of a substratum for properties; spacetime seems to be just a bearer of properties [Martin,CB]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Properly understood, wholes do no more causal work than their parts [Martin,CB]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Only abstract things can have specific and full identity specifications [Martin,CB]
The concept of 'identity' must allow for some changes in properties or parts [Martin,CB]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
It is pointless to say possible worlds are truthmakers, and then deny that possible worlds exist [Martin,CB]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Explanations are mind-dependent, theory-laden, and interest-relative [Martin,CB]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
Analogy works, as when we eat food which others seem to be relishing [Martin,CB]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Memory requires abstraction, as reminders of what cannot be fully remembered [Martin,CB]
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]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Instead of a cause followed by an effect, we have dispositions in reciprocal manifestation [Martin,CB]
Causation should be explained in terms of dispositions and manifestations [Martin,CB]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Causal counterfactuals are just clumsy linguistic attempts to indicate dispositions [Martin,CB]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Causal laws are summaries of powers [Martin,CB]
27. Natural Reality / C. Space / 6. Space-Time
We can't think of space-time as empty and propertyless, and it seems to be a substratum [Martin,CB]