13190
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I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]
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Full Idea:
Notwithstanding my infinitesimal calculus, I do not admit any real infinite numbers, even though I confess that the multitude of things surpasses any finite number, or rather any number. ..I consider infinitesimal quantities to be useful fictions.
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From:
Gottfried Leibniz (Letters to Samuel Masson [1716], 1716)
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A reaction:
With the phrase 'useful fictions' we seem to have jumped straight into Harty Field. I'm with Leibniz on this one. The history of mathematics is a series of ingenious inventions, whenever they seem to make further exciting proofs possible.
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11842
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If short-lived happenings like car crashes are 'events', why not long-lived events like Dover Cliffs? [Broad]
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Full Idea:
We call a lightning flash or a motor accident an event, but refuse to apply this to the cliffs of Dover. ...But quantitative differences (of time) give no good grounds for calling one bit of history an event, and refusing the name to another bit.
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From:
C.D. Broad (Scientific Thought [1923], p.54), quoted by David Wiggins - Sameness and Substance Renewed 2.3 n13
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A reaction:
Wiggins calls this proposal a 'terrible absurdity', but it seems to me to demand attention. There is a case to be made for a 'process' to be the fundamental category of our ontology, with stable physical objects seen in that light.
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7657
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Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett]
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Full Idea:
As long as your homunculi are more stupid and ignorant than the intelligent agent they compose, the nesting of homunculi within homunculi can be finite, bottoming out, eventually, with agents so unimpressive they can be replaced by machines.
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From:
Daniel C. Dennett (Sweet Dreams [2005], Ch.6)
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A reaction:
[Dennett first proposed this in 'Brainstorms' 1978]. This view was developed well by Lycan. I rate it as one of the most illuminating ideas in the modern philosophy of mind. All complex systems (like aeroplanes) have this structure.
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7656
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I don't deny consciousness; it just isn't what people think it is [Dennett]
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Full Idea:
I don't maintain, of course, that human consciousness does not exist; I maintain that it is not what people often think it is.
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From:
Daniel C. Dennett (Sweet Dreams [2005], Ch.3)
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A reaction:
I consider Dennett to be as near as you can get to an eliminativist, but he is not stupid. As far as I can see, the modern philosopher's bogey-man, the true total eliminativist, simply doesn't exist. Eliminativists usually deny propositional attitudes.
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14609
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We could say present and past exist, but not future, so that each event adds to the total history [Broad]
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Full Idea:
One theory accepts the reality of the present and the past, but holds that the future is simply nothing at all. Nothing has happened to the present by becoming past except that fresh slices of existence have been added to the total history of the world.
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From:
C.D. Broad (Scientific Thought [1923], II)
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A reaction:
This is now known as Broad's 'Growing Block' view of time. It is tempting to say that neither past nor future exist, but it seems undeniable that statements about the past can be wholly true, unlike those about the future.
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22933
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We imagine the present as a spotlight, moving across events from past to future [Broad]
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Full Idea:
We imagine presentness moving, like the spot of light from a policeman's bulls eye traversing the fronts of houses in a street. What is illuminated is present, what was illuminated is past, and what is not yet illuminated is the future.
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From:
C.D. Broad (Scientific Thought [1923], II)
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A reaction:
This is the 'moving spotlight' compromise theory, which retains the B-series eternal sequence of ordered events, but adds the A-series privileged present moment. Le Poidevin says Broad represents time twice over.
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