Combining Texts

All the ideas for 'On Motion', 'This is Political Philosophy' and 'Logic in Mathematics'

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52 ideas

2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
A truth can be an axiom in one system and not in another [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
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 / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
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 / B. Modern Physics / 1. Relativity / a. Special relativity
Motion is not absolute, but consists in relation [Leibniz]