Combining Texts

All the ideas for 'Higher-Order Logic', 'In Defence of Pure Reason' and 'This is Political Philosophy'

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58 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy is a priori if it is anything [Bonjour]
2. Reason / A. Nature of Reason / 3. Pure Reason
Perceiving necessary connections is the essence of reasoning [Bonjour]
2. Reason / A. Nature of Reason / 6. Coherence
Coherence can't be validated by appeal to coherence [Bonjour]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Some say that second-order logic is mathematics, not logic [Shapiro]
If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
10. Modality / B. Possibility / 1. Possibility
The concept of possibility is prior to that of necessity [Bonjour]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Moderate rationalists believe in fallible a priori justification [Bonjour]
Our rules of thought can only be judged by pure rational insight [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
A priori justification requires understanding but no experience [Bonjour]
You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour]
A priori justification can vary in degree [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
The induction problem blocks any attempted proof of physical statements [Bonjour]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Externalism means we have no reason to believe, which is strong scepticism [Bonjour]
14. Science / C. Induction / 2. Aims of Induction
Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
Maybe a person's true self is their second-order desires [Tuckness/Wolf]
18. Thought / C. Content / 1. Content
All thought represents either properties or indexicals [Bonjour]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
If maximising pleasure needs measurement, so does fulfilling desires [Tuckness/Wolf]
Desire satisfaction as the ideal is confused, because we desire what we judge to be good [Tuckness/Wolf]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
In a democracy, which 'people' are included in the decision process? [Tuckness/Wolf]
People often have greater attachment to ethnic or tribal groups than to the state [Tuckness/Wolf]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
For global justice, adopt rules without knowing which country you will inhabit [Tuckness/Wolf]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
The veil of ignorance ensures both fairness and unanimity [Tuckness/Wolf]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Unjust institutions may be seen as just; are they legitimate if just but seen as unjust? [Tuckness/Wolf]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
If winning elections depends on wealth, we have plutocracy instead of democracy [Tuckness/Wolf]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Epistemic theories defend democracy as more likely to produce the right answer [Tuckness/Wolf]
Which areas of public concern should be decided democratically, and which not? [Tuckness/Wolf]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
If several losing groups would win if they combine, a runoff seems called for [Tuckness/Wolf]
Rights as interests (unlike rights as autonomy) supports mandatory voting [Tuckness/Wolf]
How should democratic votes be aggregated? Can some person's votes count for more? [Tuckness/Wolf]
Discussion before voting should be an essential part of democracy [Tuckness/Wolf]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
We have obligations to our family, even though we didn't choose its members [Tuckness/Wolf]
25. Social Practice / A. Freedoms / 3. Free speech
Free speech does not include the right to shout 'Fire!' in a crowded theatre [Tuckness/Wolf]
25. Social Practice / B. Equalities / 1. Grounds of equality
Most people want equality because they want a flourishing life [Tuckness/Wolf]
25. Social Practice / B. Equalities / 4. Economic equality
If there is no suffering, wealth inequalities don't matter much [Tuckness/Wolf]
25. Social Practice / C. Rights / 1. Basis of Rights
Some rights are 'claims' that other people should act in a certain way [Tuckness/Wolf]
Choice theory says protecting individual autonomy is basic (but needs to cover infants and animals) [Tuckness/Wolf]
One theory (fairly utilitarian) says rights protect interests (but it needs to cover trivial interests) [Tuckness/Wolf]
Having a right does not entail further rights needed to implement it [Tuckness/Wolf]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
If being subject to the law resembles a promise, we are morally obliged to obey it [Tuckness/Wolf]
If others must obey laws that we like, we must obey laws that they like? [Tuckness/Wolf]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Instead of against natural law, we might assess unjust laws against the values of the culture [Tuckness/Wolf]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
How should the punishment fit the crime (for stealing chickens?) [Tuckness/Wolf]
25. Social Practice / E. Policies / 1. War / a. Just wars
Just wars: resist aggression, done on just cause, proportionate, last resort, not futile, legal [Tuckness/Wolf]
25. Social Practice / E. Policies / 1. War / b. Justice in war
During wars: proportional force, fair targets, fair weapons, safe prisoners, no reprisals [Tuckness/Wolf]
25. Social Practice / E. Policies / 2. Religion in Society
If minority views are accepted in debate, then religious views must be accepted [Tuckness/Wolf]
25. Social Practice / F. Life Issues / 3. Abortion
Is abortion the ending of a life, or a decision not to start one? [Tuckness/Wolf]