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All the ideas for 'Frege's Concept of Numbers as Objects', 'Commentary on 'Posterior Analytics' and 'Animal Rights and Wrongs'

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72 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 / 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 / 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 / b. Elements of beliefs
Having beliefs involves recognition, expectation and surprise [Scruton]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
If an animal has beliefs, that implies not only that it can make mistakes, but that it can learn from them [Scruton]
12. Knowledge Sources / B. Perception / 1. Perception
Perception (which involves an assessment) is a higher state than sensation [Scruton]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
There is consciousness whenever behaviour must be explained in terms of mental activity [Scruton]
16. Persons / A. Concept of a Person / 2. Persons as Responsible
Our concept of a person is derived from Roman law [Scruton]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Conditioning may change behaviour without changing the mind [Scruton]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
An emotion is a motive which is also a feeling [Scruton]
18. Thought / A. Modes of Thought / 5. Rationality / c. Animal rationality
Do we use reason to distinguish people from animals, or use that difference to define reason? [Scruton]
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]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Abstraction from an ambiguous concept like 'mole' will define them as the same [Barnes,J]
Abstraction cannot produce the concept of a 'game', as there is no one common feature [Barnes,J]
Defining concepts by abstractions will collect together far too many attributes from entities [Barnes,J]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
All moral life depends ultimately on piety, which is our recognition of our own dependence [Scruton]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Kant's Moral Law is the rules rational beings would accept when trying to live by agreement [Scruton]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The modern virtues are courage, prudence, wisdom, temperance, justice, charity and loyalty [Scruton]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Only just people will drop their own self-interests when faced with an impartial verdict [Scruton]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Sympathy can undermine the moral order just as much as crime does [Scruton]
23. Ethics / D. Deontological Ethics / 2. Duty
That which can only be done by a callous person, ought not to be done [Scruton]
23. Ethics / D. Deontological Ethics / 3. Universalisability
As soon as we drop self-interest and judge impartially, we find ourselves agreeing about conflicts [Scruton]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism merely guides us (by means of sympathy) when the moral law is silent [Scruton]
Morality is not a sort of calculation, it is what sets the limits to when calculation is appropriate [Scruton]
Utilitarianism says we can't blame Stalin yet, but such a theory is a sick joke [Scruton]
Utilitarianism is wrong precisely because it can't distinguish animals from people [Scruton]
25. Social Practice / F. Life Issues / 6. Animal Rights
We favour our own animals over foreign ones because we see them as fellow citizens [Scruton]
Animals command our sympathy and moral concern initially because of their intentionality [Scruton]
Letting your dog kill wild rats, and keeping rats for your dog to kill, are very different [Scruton]
Many of the stranger forms of life (e.g. worms) interest us only as a species, not as individuals [Scruton]
An animal has individuality if it is nameable, and advanced animals can respond to their name [Scruton]
I may avoid stepping on a spider or flower, but fellow-feeling makes me protect a rabbit [Scruton]
Lucky animals are eaten by large predators, the less lucky starve, and worst is death by small predators [Scruton]
We can easily remove the risk of suffering from an animal's life, but we shouldn't do it [Scruton]
Sheep and cattle live comfortable lives, and die an enviably easy death [Scruton]
Concern for one animal may harm the species, if the individual is part of a bigger problem [Scruton]
Animals are outside the community of rights, but we still have duties towards them [Scruton]
Brutal animal sports are banned because they harm the personality of the watcher [Scruton]
Many breeds of animals have needs which our own ancestors planted in them [Scruton]
Introducing a natural means of controlling animal population may not be very compassionate [Scruton]