Combining Texts

All the ideas for 'fragments/reports', 'Justice: What's the right thing to do?' and 'Cardinality, Counting and Equinumerosity'

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31 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
Speak truth only to those who deserve the truth [Sandel]
Careful evasions of truth at least show respect for it [Sandel]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Not all deals are fair deals [Sandel]
Does consent create the obligation, or must there be some benefit? [Sandel]
Moral contracts involve both consent and reciprocity; making the deal, and keeping it [Sandel]
23. Ethics / B. Contract Ethics / 2. Golden Rule
The categorical imperative is not the Golden Rule, which concerns contingent desires [Sandel]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
A virtue is a combination of intelligence, strength and luck [Ion]
23. Ethics / D. Deontological Ethics / 5. Persons as Ends
Man cannot dispose of himself, because he is not a thing to be owned [Sandel]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Just visiting (and using roads) is hardly ratifying the Constitution [Sandel]
24. Political Theory / B. Nature of a State / 3. Constitutions
A ratified constitution may not be a just constitution [Sandel]
A just constitution harmonises the different freedoms [Sandel]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Liberal freedom was a response to assigned destinies like caste and class [Sandel]
25. Social Practice / B. Equalities / 4. Economic equality
Libertarians just want formal equality in a free market; the meritocratic view wants fair equality [Sandel]
25. Social Practice / D. Justice / 1. Basis of justice
We can approach justice through welfare, or freedom, or virtue [Sandel]
Justice concerns how a society distributes what it prizes - wealth, rights, power and honours [Sandel]
Should we redress wrongs done by a previous generation? [Sandel]
Distributive justice concern deserts, as well as who gets what [Sandel]
Justice is about how we value things, and not just about distributions [Sandel]
Work is not fair if it is negotiated, even in a fair situation, but if it suits the nature of the worker [Sandel]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Teleological thinking is essential for social and political issues [Sandel]