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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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20034
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Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall]
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Full Idea:
Bratman's three main norms of intention are 'internal consistency' (between a person's intentions), 'means-end coherence' (the means must fit the end), and 'consistency with the agent's beliefs' (especially intending to do and believing you won't do).
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From:
report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4
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A reaction:
These are controversial, but have set the agenda for modern non-reductive discussions of intention.
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20033
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Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall]
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Full Idea:
Intentions involve normative commitments. We settle on intended courses, if there is no reason to reconsider them, and intentions put pressure on us to form further intentions in order to more efficiently coordinate our actions.
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From:
report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4
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A reaction:
[a compression of their summary] This distinguishes them from beliefs and desires, which contain no such normative requirements, even though they may point that way.
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20026
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Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall]
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Full Idea:
We need to distinguish intention as an aim or goal of actions, and intentions as a distinctive state of commitment to future action, a state that results from and subsequently constrains our practical endeavours as planning agents.
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From:
report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 2
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A reaction:
I'm not sure how distinct these are, given the obvious possibility of intermediate stages, and the embracing of any available short-cut. If I could mow my lawn with one blink, I'd do it.
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20032
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Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall]
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Full Idea:
Bratman motivated the idea that intentions are psychologically real and not reducible to desire-belief complexes by observing that they are motivationally distinctive, and subject to their own unique standards of rational appraisal.
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From:
report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4
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A reaction:
If I thought my belief was a bit warped, and my desire morally corrupt, my higher self might refuse to form an intention. If so, then Bratman is onto something. But maybe my higher self has its own beliefs and desires.
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15877
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The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]
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Full Idea:
In Poincaré's view, we try to construct a language within which the brute facts of experience are expressed as comprehensively and as elegantly as possible. The job of science is the forging of a language precisely suited to that purpose.
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From:
report of Henri Poincaré (The Value of Science [1906], Pt III) by Rom Harré - Laws of Nature 2
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A reaction:
I'm often struck by how obscure and difficult our accounts of self-evident facts can be. Chairs are easy, and the metaphysics of chairs is hideous. Why is that? I'm a robust realist, but I like Poincaré's idea. He permits facts.
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