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All the ideas for 'talk', 'Equality' and 'Counting and the Natural Numbers'

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12 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
     Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
     A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
     Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3)
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
     Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
     Full Idea: I regard you all as relatives - by nature, not by convention. By nature like is akin to like, but convention is a tyrant over humankind and often constrains people to act contrary to nature.
     From: Hippias (fragments/reports [c.430 BCE]), quoted by Plato - Protagoras 337c8
23. Ethics / D. Deontological Ethics / 3. Universalisability
The general form of moral reasoning is putting yourself in other people's shoes [Nagel]
     Full Idea: I believe the general form of moral reasoning is to put yourself in other people's shoes.
     From: Thomas Nagel (Equality [1977], §9)
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
An egalitarian system must give priority to those with the worst prospects in life [Nagel]
     Full Idea: What makes a system egalitarian is the priority it gives to the claims of those whose overall life prospects put them at the bottom.
     From: Thomas Nagel (Equality [1977], §6)
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality was once opposed to aristocracy, but now it opposes public utility and individual rights [Nagel]
     Full Idea: Egalitarianism was once opposed to aristocratic values, but now it is opposed by adherents of two non-aristocratic values: utility (increase benefit, even if unequally) and individual rights (which redistribution violates).
     From: Thomas Nagel (Equality [1977], §2)
The ideal of acceptability to each individual underlies the appeal to equality [Nagel]
     Full Idea: The ideal of acceptability to each individual underlies the appeal to equality.
     From: Thomas Nagel (Equality [1977], §8)
In judging disputes, should we use one standard, or those of each individual? [Nagel]
     Full Idea: In assessing equality of claims, it must be decided whether to use a single, objective standard, or whether interests should be ranked by the person's own estimation. Also should they balance momentary or long-term needs?
     From: Thomas Nagel (Equality [1977], §6)
25. Social Practice / B. Equalities / 2. Political equality
Equality can either be defended as good for society, or as good for individual rights [Nagel]
     Full Idea: The communitarian defence of equality says it is good for society as a whole, whereas the individualistic defence defends equality as a correct distributive principle.
     From: Thomas Nagel (Equality [1977], §2)
Equality nowadays is seen as political, social, legal and economic [Nagel]
     Full Idea: Contemporary political debate recognises four types of equality: political, social, legal and economic.
     From: Thomas Nagel (Equality [1977], §1)
     A reaction: Meaning equality of 1) power and influence, 2) status and respect, 3) rights and justice, 4) wealth.
25. Social Practice / C. Rights / 1. Basis of Rights
A morality of rights is very minimal, leaving a lot of human life without restrictions or duties [Nagel]
     Full Idea: The morality of rights tends to be a limited, even minimal, morality. It leaves a great deal of human life ungoverned by moral restrictions or requirements.
     From: Thomas Nagel (Equality [1977], §5)