Combining Philosophers

All the ideas for Bernard Williams, William Lyons and Leon Horsten

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121 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the most general intellectual discipline [Horsten]
2. Reason / D. Definition / 2. Aims of Definition
A definition should allow the defined term to be eliminated [Horsten]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / A. Truth Problems / 1. Truth
Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten]
Truth is a property, because the truth predicate has an extension [Horsten]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten]
3. Truth / A. Truth Problems / 5. Truth Bearers
Propositions have sentence-like structures, so it matters little which bears the truth [Horsten]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Modern correspondence is said to be with the facts, not with true propositions [Horsten]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten]
Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories have a regress problem in describing truth in the languages for the models [Horsten]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten]
Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten]
An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten]
'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten]
A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten]
The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten]
Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten]
By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten]
Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten]
Deflationism concerns the nature and role of truth, but not its laws [Horsten]
This deflationary account says truth has a role in generality, and in inference [Horsten]
Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten]
Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten]
4. Formal Logic / E. Nonclassical Logics / 1. Nonclassical Logics
Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
The first incompleteness theorem means that consistency does not entail soundness [Horsten]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten]
Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Predicativism says mathematical definitions must not include the thing being defined [Horsten]
7. Existence / D. Theories of Reality / 2. Realism
In the realist view, the real external world explains how it (and perceptions of it) are possible [Williams,B]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten]
If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten]
10. Modality / A. Necessity / 10. Impossibility
Necessity implies possibility, but in experience it matters which comes first [Williams,B]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Belief is the most important propositional attitude [Lyons]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
It is very confused to deduce a nonrelativist morality of universal toleration from relativism [Williams,B]
Our ability to react to an alien culture shows that ethical thought extends beyond cultural boundaries [Williams,B]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Consciousness no longer seems essential to intentionality [Lyons]
16. Persons / A. Concept of a Person / 1. Existence of Persons
'Dead person' isn't a contradiction, so 'person' is somewhat vague [Williams,B]
You can only really love a person as a token, not as a type [Williams,B]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
The memory criterion has a problem when one thing branches into two things [Williams,B, by Macdonald,C]
16. Persons / F. Free Will / 5. Against Free Will
It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B]
There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Perceptions could give us information without symbolic representation [Lyons]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Propositional attitudes require representation [Lyons]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Reference to a person's emotions is often essential to understanding their actions [Williams,B]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
Moral education must involve learning about various types of feeling towards things [Williams,B]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology works badly for alien cultures [Lyons]
18. Thought / C. Content / 1. Content
All thinking has content [Lyons]
19. Language / C. Assigning Meanings / 1. Syntax
A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Reasons are 'internal' if they give a person a motive to act, but 'external' otherwise [Williams,B]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility involves cause, intention, state of mind, and response after the event [Williams,B]
20. Action / C. Motives for Action / 5. Action Dilemmas / a. Dilemmas
Many ethical theories neglect the power of regretting the ought not acted upon [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Philosophers try to produce ethical theories because they falsely assume that ethics can be simple [Williams,B]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
Moral conflicts have a different feeling and structure from belief conflicts [Williams,B, by Foot]
We tolerate inconsistency in ethics but not in other beliefs (which reflect an independent order) [Williams,B, by Foot]
If moral systems can't judge other moral systems, then moral relativism is true [Williams,B, by Foot]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
In bad actions, guilt points towards victims, and shame to the agent [Williams,B]
Blame usually has no effect if the recipient thinks it unjustified [Williams,B]
Blame partly rests on the fiction that blamed agents always know their obligations [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Intuitionism has been demolished by critics, and no longer looks interesting [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We can't accept Aristotle's naturalism about persons, because it is normative and unscientific [Williams,B, by Hursthouse]
The category of person is a weak basis for ethics, because it is not fixed but comes in degrees [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Emotivism saw morality as expressing emotions, and influencing others' emotions [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
The weakness of prescriptivism is shown by "I simply don't like staying at good hotels" [Williams,B]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Some ethical ideas, such as 'treachery' and 'promise', seem to express a union of facts and values [Williams,B]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Maybe the unthinkable is a moral category, and considering some options is dishonourable or absurd [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Consequentialism assumes that situations can be compared [Williams,B]
For a consequentialist massacring 7 million must be better than massacring 7 million and one [Williams,B]
It is an error of consequentialism to think we just aim at certain states of affairs; we also want to act [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
If all that matters in morality is motive and intention, that makes moral luck irrelevant [Williams,B]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
Promise keeping increases reliability, by making deliberation focus on something which would be overlooked [Williams,B]
23. Ethics / B. Contract Ethics / 5. Free Rider
A weakness of contractual theories is the position of a person of superior ability and power [Williams,B]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Greek moral progress came when 'virtue' was freed from social status [Williams,B]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
A crucial feature of moral thought is second-order desire - the desire to have certain desires [Williams,B]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
An admirable human being should have certain kinds of emotional responses [Williams,B]
It is important that a person can change their character, and not just be successive 'selves' [Williams,B]
Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Equality of opportunity without equality of respect would create a very inhuman society [Williams,B]
23. Ethics / D. Deontological Ethics / 1. Deontology
'Deon' in Greek means what one must do; there was no word meaning 'duty' [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
The concept of a 'duty to myself' is fraudulent [Williams,B]
Obligation and duty look backwards (because of a promise or job), although the acts are in the future [Williams,B]
Not all moral deliberations lead to obligations; some merely reveal what 'may' be done [Williams,B]
"Ought implies can" is a famous formula in connection with moral obligation [Williams,B]
The modern idea of duty is unknown in archaic Greece [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Why should I think of myself as both the legislator and the citizen who follows the laws? [Williams,B]
We don't have a duty to ensure that others do their duty [Williams,B]
If the self becomes completely impartial, it no longer has enough identity to worry about its interests [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
If reason cannot lead people to good, we must hope they have an internal voice [Williams,B]
Kant's love of consistency is too rigid, and it even overrides normal fairness [Williams,B]
If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism cannot make any serious sense of integrity [Williams,B]
For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
Utilitarian benevolence involves no particular attachments, and is immune to the inverse square law [Williams,B]
23. Ethics / F. Existentialism / 7. Existential Action
Ethical conviction must be to some extent passive, and can't just depend on the will and decisions [Williams,B]
Taking responsibility won't cure ethical uncertainty by; we are uncertain what to decide [Williams,B]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality implies that people are alike in potential as well as in needs [Williams,B]
Equality seems to require that each person be acknowledged as having a significant point of view [Williams,B]
25. Social Practice / B. Equalities / 4. Economic equality
It is a mark of extreme exploitation that the sufferers do not realise their plight [Williams,B]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
It is a mark of our having ethical values that we aim to reproduce them in our children [Williams,B]
25. Social Practice / F. Life Issues / 3. Abortion
Most women see an early miscarriage and a late stillbirth as being very different in character [Williams,B]
25. Social Practice / F. Life Issues / 6. Animal Rights
Speciesism isn't like racism, because the former implies a viewpoint which belongs to no one [Williams,B]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
There is a problem of evil only if you expect the world to be good [Williams,B]