Combining Texts

All the ideas for 'works', 'Continuity and Irrational Numbers' and 'Emotivism'

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11 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
How can emotivists explain someone who recognises morality but is indifferent to it? [Brink]
Two people might agree in their emotional moral attitude while disagreeing in their judgement [Brink]
Emotivists find it hard to analyse assertions of moral principles, rather than actual judgements [Brink]
Emotivists claim to explain moral motivation by basing morality on non-cognitive attitudes [Brink]
Emotivists tend to favour a redundancy theory of truth, making moral judgement meaningless [Brink]
Emotivism implies relativism about moral meanings, but critics say disagreements are about moral reference [Brink]