30 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
9915 | V = L just says all sets are constructible [Putnam] |
13655 | The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
9913 | The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam] |
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] |
9914 | It is unfashionable, but most mathematical intuitions come from nature [Putnam] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
4913 | Brain lesions can erase whole categories of perception, suggesting they are hard-wired [Carter,R] |
4910 | Sense organs don't discriminate; they reduce various inputs to the same electrical pulses [Carter,R] |
4911 | The recognition sequence is: classify, name, locate, associate, feel [Carter,R, by PG] |
4919 | There seems to be no dividing line between a memory and a thought [Carter,R] |
4908 | No one knows if animals are conscious [Carter,R] |
4915 | In primates, brain size correlates closely with size of social group [Carter,R] |
4904 | Proper brains appear at seven weeks, and neonates have as many neurons as adults do [Carter,R] |
4902 | Pain doesn't have one brain location, but is linked to attention and emotion [Carter,R] |
4917 | Consciousness involves awareness, perception, self-awareness, attention and reflection [Carter,R] |
4916 | There is enormous evidence that consciousness arises in the frontal lobes of the brain [Carter,R] |
4905 | Normal babies seem to have overlapping sense experiences [Carter,R] |
4918 | In blindsight V1 (normal vision) is inactive, but V5 (movement) lights up [Carter,R] |
4912 | Out-of-body experiences may be due to temporary loss of proprioception [Carter,R] |
4903 | Scans of brains doing similar tasks produce very similar patterns of activation [Carter,R] |
4920 | Thinking takes place on the upper side of the prefrontal cortex [Carter,R] |
4906 | Babies show highly emotional brain events, but may well be unaware of them [Carter,R] |
4909 | The only way we can control our emotions is by manipulating the outside world that influences them [Carter,R] |
4914 | A frog will starve to death surrounded by dead flies [Carter,R] |
4907 | The 'locus coeruleus' is one of several candidates for the brain's 'pleasure centre' [Carter,R] |