4 ideas
| 9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
| Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space. | |
| From: Tyler Burge (Frege on Apriority [2000], IV) | |
| A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics. |
| 13128 | 'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins] |
| Full Idea: 'Ultimate sortals' are said to be non-subordinated, disjoint from one another, and uniquely paired with each object. Because of this, the ultimate sortal cannot be a satisfactory explication of the notion of an ontological category. | |
| From: comment on David Wiggins (Identity and Spatio-Temporal Continuity [1971], p.75) by Jan Westerhoff - Ontological Categories §26 | |
| A reaction: My strong intuitions are that Wiggins is plain wrong, and Westerhoff gives the most promising reasons for my intuition. The simplest point is that objects can obviously belong to more than one category. |
| 23226 | There is a single mouse neuron which has 862 inputs and 626 outputs [Cobb] |
| Full Idea: Researchers have recently described a single inhibitory neuron in a region called the visual thalamus of the mouse - it has 862 input synapses and 626 output synapses. | |
| From: Matthew Cobb (The Idea of the Brain [2020], 11) | |
| A reaction: This is the kind of fact which philosophers of mind must be aware of when offering accounts of thought which are in danger of being simplistic. |
| 23216 | The brain is not passive, and merely processing inputs; it is active, and intervenes in the world [Cobb] |
| Full Idea: A number of scientists are now realising that, by viewing the brain as a computer that passively responds ot inputs and processes data, we forget that it is an active organ, part of the body intervening in the world. | |
| From: Matthew Cobb (The Idea of the Brain [2020], Intro) | |
| A reaction: I like any idea which reminds us that nature is intrinsically active, and not merely passive. Laws are in nature, not imposed on it. My preferred ontology, based on powers as fundamental, applies to the brain, as well as to physics. No free will needed. |