Combining Texts

All the ideas for 'Carnap and Logical Truth', 'This is Political Philosophy' and 'Mathematical logic and theory of types'

expand these ideas     |    start again     |     specify just one area for these texts


49 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
In order to select the logic justified by experience, we would need to use a lot of logic [Boghossian on Quine]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Elementary logic requires truth-functions, quantifiers (and variables), identity, and also sets of variables [Quine]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
If logical truths essentially depend on logical constants, we had better define the latter [Hacking on Quine]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
If set theory is not actually a branch of logic, then Frege's derivation of arithmetic would not be from logic [Quine]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
Commitment to universals is as arbitrary or pragmatic as the adoption of a new system of bookkeeping [Quine]
10. Modality / A. Necessity / 6. Logical Necessity
Frege moved Kant's question about a priori synthetic to 'how is logical certainty possible?' [Quine]
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
Examination of convention in the a priori begins to blur the distinction with empirical knowledge [Quine]
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]
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]