Combining Philosophers

All the ideas for Hippias, JC Beall / G Restall and John Charvet

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59 ideas

3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
Relevant logic does not abandon classical logic [Beall/Restall]
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
A doesn't imply A - that would be circular [Beall/Restall]
Relevant logic may reject transitivity [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
There are several different consequence relations [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Rawls's theory cannot justify liberalism, since it presupposes free and equal participants [Charvet]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
People with strong prior beliefs would have nothing to do with a veil of ignorance [Charvet]
24. Political Theory / D. Ideologies / 3. Conservatism
Societies need shared values, so conservatism is right if rational discussion of values is impossible [Charvet]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
The universalism of utilitarianism implies a world state [Charvet]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberals value freedom and equality, but the society itself must decide on its values [Charvet]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Modern libertarian societies still provide education and some housing [Charvet]
Liberalism needs people to either have equal autonomy, or everyone to have enough autonomy [Charvet]
Kant places a higher value on the universal rational will than on the people asserting it [Charvet]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Liberalism asserts maximum freedom, but that must be equal for all participants [Charvet]
Egalitarian liberals prefer equality (either of input or outcome) to liberty [Charvet]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberals promote community and well-being - because all good societies need them [Charvet]
24. Political Theory / D. Ideologies / 6. Liberalism / f. Multiculturalism
Identity multiculturalism emerges from communitarianism, preferring community to humanity [Charvet]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
For communitarians it seems that you must accept the culture you are born into [Charvet]
24. Political Theory / D. Ideologies / 9. Communism
Give by ability and receive by need, rather than a free labour market [Charvet]
25. Social Practice / A. Freedoms / 3. Free speech
Allowing defamatory speech is against society's interests, by blurring which people are trustworthy [Charvet]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
'Freedom from' is an empty idea, if the freedom is not from impediments to my desires [Charvet]
Positive freedom can lead to coercion, if you are forced to do what you chose to do [Charvet]
First level autonomy is application of personal values; second level is criticising them [Charvet]
25. Social Practice / B. Equalities / 1. Grounds of equality
Mere equality, as in two trees being the same height, has no value at all [Charvet]
25. Social Practice / B. Equalities / 4. Economic equality
Inequalities are worse if they seem to be your fault, rather than social facts [Charvet]
Money allows unlimited inequalities, and we obviously all agree to money [Charvet]
25. Social Practice / D. Justice / 2. The Law / b. Rule of law
The rule of law is mainly to restrict governments [Charvet]
The 1689 Bill of Rights denied the monarch new courts, or the right to sit as judge [Charvet]
From 1701 only parliament could remove judges, whose decisions could not be discussed [Charvet]
Justice superior to the rule of law is claimed on behalf of the workers, or the will of the nation [Charvet]
The rule of law mainly benefits those with property and liberties [Charvet]
25. Social Practice / E. Policies / 3. Welfare provision
Welfare is needed if citizens are to accept the obligations of a liberal state [Charvet]