13 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
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] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
9758 | To make sense of personal identity, focus on agency rather than experience [Korsgaard] |
9757 | A person viewed as an agent makes no sense without its own future [Korsgaard] |
9759 | Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard] |
22688 | The Aristotelian idea that choices can be perceived needs literary texts to expound it [Nussbaum] |
9760 | Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard] |
9761 | Personal concern for one's own self widens out into concern for the impersonal [Korsgaard] |