13 ideas
| 8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
| Full Idea: Maddy dispenses with pure sets, by sketching a strong set theory in which everything is either a physical object or a set of sets of ...physical objects. Eventually a physiological story of perception will extend to sets of physical objects. | |
| From: report of Penelope Maddy (Realism in Mathematics [1990]) by Stewart Shapiro - Thinking About Mathematics 8.3 | |
| A reaction: This doesn't seem to find many supporters, but if we accept the perception of resemblances as innate (as in Hume and Quine), it is isn't adding much to see that we intrinsically see things in groups. |
| 10718 | A natural number is a property of sets [Maddy, by Oliver] |
| Full Idea: Maddy takes a natural number to be a certain property of sui generis sets, the property of having a certain number of members. | |
| From: report of Penelope Maddy (Realism in Mathematics [1990], 3 §2) by Alex Oliver - The Metaphysics of Properties | |
| A reaction: [I believe Maddy has shifted since then] Presumably this will make room for zero and infinities as natural numbers. Personally I want my natural numbers to count things. |
| 8756 | Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro] |
| Full Idea: Maddy says that intuition alone does not support very much mathematics; more importantly, a naturalist cannot accept intuition at face value, but must ask why we are justified in relying on intuition. | |
| From: report of Penelope Maddy (Realism in Mathematics [1990]) by Stewart Shapiro - Thinking About Mathematics 8.3 | |
| A reaction: It depends what you mean by 'intuition', but I identify with her second objection, that every faculty must ultimately be subject to criticism, which seems to point to a fairly rationalist view of things. |
| 17733 | We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins] |
| Full Idea: Maddy proposes that we can know (some) mind-independent mathematical truths through knowing about sets, and that we can obtain knowledge of sets through experience. | |
| From: report of Penelope Maddy (Realism in Mathematics [1990]) by Carrie Jenkins - Grounding Concepts 6.5 | |
| A reaction: Maddy has since backed off from this, and now tries to merely defend 'objectivity' about sets (2011:114). My amateurish view is that she is overrating the importance of sets, which merely model mathematics. Look at category theory. |
| 2526 | Philosophers regularly confuse failures of imagination with insights into necessity [Dennett] |
| Full Idea: The besetting foible of philosophers is mistaking failures of imagination for insights into necessity. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.25) |
| 2523 | That every mammal has a mother is a secure reality, but without foundations [Dennett] |
| Full Idea: Naturalistic philosophers should look with favour on the finite regress that peters out without foundations or thresholds or essences. That every mammal has a mother does not imply an infinite regress. Mammals have secure reality without foundations. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.25) | |
| A reaction: I love this thought, which has permeated my thinking quite extensively. Logicians are terrified of regresses, but this may be because they haven't understood the vagueness of language. |
| 2528 | Does consciousness need the concept of consciousness? [Dennett] |
| Full Idea: You can't have consciousness until you have the concept of consciousness. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.6) | |
| A reaction: If you read enough Dennett this begins to sound vaguely plausible, but next day it sounds like an absurd claim. 'You can't see a tree until you have the concept of a tree?' When do children acquire the concept of consciousness? Are apes non-conscious? |
| 2525 | Maybe language is crucial to consciousness [Dennett] |
| Full Idea: I continue to argue for a crucial role of natural language in generating the central features of consciousness. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.25) | |
| A reaction: 'Central features' might beg the question. Dennett does doubt the consciousness of animals (1996). As I stare out of my window, his proposal seems deeply counterintuitive. How could language 'generate' consciousness? Would loss of language create zombies? |
| 2527 | Unconscious intentionality is the foundation of the mind [Dennett] |
| Full Idea: It is on the foundation of unconscious intentionality that the higher-order complexities developed that have culminated in what we call consciousness. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.25) | |
| A reaction: Sounds right to me. Pace Searle, I have no problem with unconscious intentionality, and the general homuncular picture of low levels building up to complex high levels, which suddenly burst into the song and dance of consciousness. |
| 2530 | Could a robot be made conscious just by software? [Dennett] |
| Full Idea: How could you make a robot conscious? The answer, I think, is to be found in software. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.6) | |
| A reaction: This seems to be a commitment to strong AI, though Dennett is keen to point out that brains are the only plausible implementation of such software. Most find his claim baffling. |
| 16618 | Intellectual and moral states, and even the soul itself, depend on prime matter for their existence [Blasius, by Pasnau] |
| Full Idea: Blasius argued that prime matter is the subject of all our intellectual and moral states. This implies that such states cannot exist apart from the body, which seems to imply further that the soul itself cannot exist apart from the body. | |
| From: report of Blasius of Parma (Les quaestiones de anima (lectures on the soul) [1385], I.8 p.65) by Robert Pasnau - Metaphysical Themes 1274-1671 06.3 | |
| A reaction: It seems that, under pressure, Blasius recanted this view in lectures given eleven years later. |
| 2524 | A language of thought doesn't explain content [Dennett] |
| Full Idea: Postulating a language of thought is a postponement of the central problems of content ascription, not a necessary first step. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.25) | |
| A reaction: If the idea of content is built on the idea of representation, then you need some account of what the brain does with its representations. |
| 2529 | Maybe there can be non-conscious concepts (e.g. in bees) [Dennett] |
| Full Idea: Concepts do not require consciousness. As Jaynes says, the bee has a concept of a flower, but not a conscious concept. | |
| From: Daniel C. Dennett (Brainchildren [1998], Ch.6) | |
| A reaction: Does the flower have a concept of rain? Rain plays a big functional role in its existence. It depends, alas, on what we mean by a 'concept'. |