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All the ideas for 'Frege philosophy of mathematics', 'Abstract Entities' and 'This is Political Philosophy'

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62 ideas

2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / A. Nature of Existence / 4. Abstract Existence
Some abstract things have a beginning and end, so may exist in time (though not space) [Swoyer]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 1. Ontologies
Ontologists seek existence and identity conditions, and modal and epistemic status for a thing [Swoyer]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Can properties exemplify other properties? [Swoyer]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / A. Existence of Objects / 5. Simples
Quantum field theory suggests that there are, fundamentally, no individual things [Swoyer]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
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 / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
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]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]