Combining Texts

All the ideas for 'Frege's Concept of Numbers as Objects', 'works' and 'From Metaphysics to Ethics'

expand these ideas     |    start again     |     specify just one area for these texts


64 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 / 6. Metaphysics as Conceptual
Serious metaphysics cares about entailment between sentences [Jackson]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Conceptual analysis studies whether one story is made true by another story [Jackson]
Intuitions about possibilities are basic to conceptual analysis [Jackson]
Conceptual analysis is needed to establish that metaphysical reductions respect original meanings [Jackson, by Schroeter]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Some continental philosophers are relativists - Baudrillard, for example [Baudrillard, by Critchley]
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 / B. Truthmakers / 4. Truthmaker Necessitarianism
Something can only have a place in a preferred account of things if it is entailed by the account [Jackson]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
Truth supervenes on being [Jackson]
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
Smooth reductions preserve high-level laws in the lower level [Jackson]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Baldness is just hair distribution, but the former is indeterminate, unlike the latter [Jackson]
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 / 1. Nature of Properties
Redness is a property, but only as a presentation to normal humans [Jackson]
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]
10. Modality / A. Necessity / 3. Types of Necessity
We should not multiply senses of necessity beyond necessity [Jackson]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Mathematical sentences are a problem in a possible-worlds framework [Jackson]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Possible worlds could be concrete, abstract, universals, sentences, or properties [Jackson]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Long arithmetic calculations show the a priori can be fallible [Jackson]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
We examine objects to determine colour; we do not introspect [Jackson]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
In physicalism, the psychological depends on the physical, not the other way around [Jackson]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Is the dependence of the psychological on the physical a priori or a posteriori? [Jackson]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If different states can fulfil the same role, the converse must also be possible [Jackson]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology covers input, internal role, and output [Jackson]
18. Thought / C. Content / 1. Content
Egocentric or de se content seems to be irreducibly so [Jackson]
18. Thought / C. Content / 5. Twin Earth
Keep distinct the essential properties of water, and application conditions for the word 'water' [Jackson]
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 / D. Concepts / 4. Structure of Concepts / c. Classical concepts
Analysis is finding necessary and sufficient conditions by studying possible cases [Jackson]
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
Successful predication supervenes on nature [Jackson]
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
I can understand "He has a beard", without identifying 'he', and hence the truth conditions [Jackson]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
Folk morality does not clearly distinguish between doing and allowing [Jackson]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Moral functionalism says moral terms get their meaning from their role in folk morality [Jackson]
Which are prior - thin concepts like right, good, ought; or thick concepts like kindness, equity etc.? [Jackson]
25. Social Practice / F. Life Issues / 3. Abortion
It is hard to justify the huge difference in our judgements of abortion and infanticide [Jackson]