18 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] |
23664 | Powers are quite distinct and simple, and so cannot be defined [Reid] |
23669 | Thinkers say that matter has intrinsic powers, but is also passive and acted upon [Reid] |
23666 | It is obvious that there could not be a power without a subject which possesses it [Reid] |
8886 | Being a true justified belief is not a sufficient condition for knowledge [Gettier] |
23665 | Consciousness is the power of mind to know itself, and minds are grounded in powers [Reid] |
23668 | Our own nature attributes free determinations to our own will [Reid] |
20051 | Reid said that agent causation is a unique type of causation [Reid, by Stout,R] |
8383 | Day and night are constantly conjoined, but they don't cause one another [Reid, by Crane] |
23667 | Regular events don't imply a cause, without an innate conviction of universal causation [Reid] |
23670 | Scientists don't know the cause of magnetism, and only discover its regulations [Reid] |
23671 | Laws are rules for effects, but these need a cause; rules of navigation don't navigate [Reid] |