Combining Texts

All the ideas for 'Defending the Axioms', 'Intuitionism' and '21: First Epistle of Peter'

expand these ideas     |    start again     |     specify just one area for these texts

12 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
7260 If there are intuited moral facts, why should we care about them? [Dancy,J]
7261 Internalists say that moral intuitions are motivating; externalist say a desire is also needed [Dancy,J]
7262 Obviously judging an action as wrong gives us a reason not to do it [Dancy,J]
7265 Moral facts are not perceived facts, but perceived reasons for judgements [Dancy,J]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
17593 Always be ready to give reasons for your beliefs [Peter]