39 ideas
1642 | We must fight fiercely for knowledge, understanding and intelligence [Plato] |
4465 | Note that "is" can assert existence, or predication, or identity, or classification [PG] |
1645 | The desire to split everything into its parts is unpleasant and unphilosophical [Plato] |
1644 | Dialectic should only be taught to those who already philosophise well [Plato] |
287 | Good analysis involves dividing things into appropriate forms without confusion [Plato] |
20478 | In discussion a person's opinions are shown to be in conflict, leading to calm self-criticism [Plato] |
4686 | Fallacies are errors in reasoning, 'formal' if a clear rule is breached, and 'informal' if more general [PG] |
7415 | Question-begging assumes the proposition which is being challenged [PG] |
7414 | What is true of a set is also true of its members [PG] |
6696 | The Ad Hominem Fallacy criticises the speaker rather than the argument [PG] |
4687 | Minimal theories of truth avoid ontological commitment to such things as 'facts' or 'reality' [PG] |
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] |
6516 | Monty Hall Dilemma: do you abandon your preference after Monty eliminates one of the rivals? [PG] |
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] |
11278 | What does 'that which is not' refer to? [Plato] |
1643 | If statements about non-existence are logically puzzling, so are statements about existence [Plato] |
7022 | To be is to have a capacity, to act on other things, or to receive actions [Plato] |
1641 | Some alarming thinkers think that only things which you can touch exist [Plato] |
10784 | Whenever there's speech it has to be about something [Plato] |
16122 | Good thinkers spot forms spread through things, or included within some larger form [Plato] |
10422 | The not-beautiful is part of the beautiful, though opposed to it, and is just as real [Plato] |
15855 | If we see everything as separate, we can then give no account of it [Plato] |
24054 | Everything has a probability, something will happen, and probabilities add up [PG] |
3875 | If reality is just what we perceive, we would have no need for a sixth sense [PG] |
3876 | If my team is losing 3-1, I have synthetic a priori knowledge that they need two goals for a draw [PG] |
1637 | A soul without understanding is ugly [Plato] |
7734 | Maybe a mollusc's brain events for pain ARE of the same type (broadly) as a human's [PG] |
7735 | Maybe a frog's brain events for fear are functionally like ours, but not phenomenally [PG] |
1636 | Wickedness is an illness of the soul [Plato] |
3877 | Utilitarianism seems to justify the discreet murder of unhappy people [PG] |
1638 | Didactic education is hard work and achieves little [Plato] |
6126 | Life is Movement, Respiration, Sensation, Nutrition, Excretion, Reproduction, Growth (MRS NERG) [PG] |
3874 | How could God know there wasn't an unknown force controlling his 'free' will? [PG] |
3873 | An omniscient being couldn't know it was omniscient, as that requires information from beyond its scope of knowledge [PG] |