Combining Philosophers

All the ideas for Anaxarchus, John Rawls and Michael Potter

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51 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Impredicative definitions are circular, but fine for picking out, rather than creating something [Potter]
3. Truth / A. Truth Problems / 2. Defining Truth
The Identity Theory says a proposition is true if it coincides with what makes it true [Potter]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
It has been unfortunate that externalism about truth is equated with correspondence [Potter]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Frege's sign |--- meant judgements, but the modern |- turnstile means inference, with intecedents [Potter]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Deductivism can't explain how the world supports unconditional conclusions [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Modern logical truths are true under all interpretations of the non-logical words [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The formalist defence against Gödel is to reject his metalinguistic concept of truth [Potter]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Why is fictional arithmetic applicable to the real world? [Potter]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
If 'concrete' is the negative of 'abstract', that means desires and hallucinations are concrete [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A relation is a set consisting entirely of ordered pairs [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation
'Greater than', which is the ancestral of 'successor', strictly orders the natural numbers [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
Priority is a modality, arising from collections and members [Potter]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
A material conditional cannot capture counterfactual reasoning [Potter]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Knowledge from a drunken schoolteacher is from a reliable and unreliable process [Potter]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Traditionally there are twelve categories of judgement, in groups of three [Potter]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
The phrase 'the concept "horse"' can't refer to a concept, because it is saturated [Potter]
19. Language / C. Assigning Meanings / 4. Compositionality
Compositionality should rely on the parsing tree, which may contain more than sentence components [Potter]
'Direct compositonality' says the components wholly explain a sentence meaning [Potter]
Compositionality is more welcome in logic than in linguistics (which is more contextual) [Potter]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Human injustice is not a permanent feature of communities [Rawls]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Rawls defends the priority of right over good [Rawls, by Finlayson]
23. Ethics / B. Contract Ethics / 1. Contractarianism
A fair arrangement is one that parties can agree to without knowing how it will benefit them personally [Rawls, by Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Check your rationality by thinking of your opinion pronounced by the supreme court [Rawls]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism inappropriately scales up the individual willingness to make sacrifices [Rawls, by Nagel]
23. Ethics / E. Utilitarianism / 4. Unfairness
The maximisation of happiness must be done fairly [Rawls, by Smart]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Rawls rejected cosmopolitanism because it doesn't respect the autonomy of 'peoples' [Rawls, by Shorten]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Why does the rational agreement of the 'Original Position' in Rawls make it right? [Nagel on Rawls]
The original position models the idea that citizens start as free and equal [Rawls, by Swift]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
Choose justice principles in ignorance of your own social situation [Rawls]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
All desirable social features should be equal, unless inequality favours the disadvantaged [Rawls]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Power is only legitimate if it is reasonable for free equal citizens to endorse the constitution [Rawls]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Utilitarians lump persons together; Rawls somewhat separates them; Nozick wholly separates them [Swift on Rawls]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Rawls's account of justice relies on conventional fairness, avoiding all moral controversy [Gray on Rawls]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
In a pluralist society we can't expect a community united around one conception of the good [Rawls]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Liberty Principle: everyone has an equal right to liberties, if compatible with others' liberties [Rawls]
25. Social Practice / D. Justice / 1. Basis of justice
The social contract has problems with future generations, national boundaries, disabilities and animals [Rawls, by Nussbaum]
Justice concerns not natural distributions, or our born location, but what we do about them [Rawls]
25. Social Practice / E. Policies / 1. War / b. Justice in war
If an aggression is unjust, the constraints on how it is fought are much stricter [Rawls]