Combining Philosophers

All the ideas for Archimedes, Anon (Gilg) and Michael Bratman

unexpand these ideas     |    start again     |     specify just one area for these philosophers


6 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall]
     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).
     From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4
     A reaction: These are controversial, but have set the agenda for modern non-reductive discussions of intention.
Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall]
     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.
     From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4
     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.
20. Action / B. Preliminaries of Action / 1. Intention to Act / b. Types of intention
Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall]
     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.
     From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 2
     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.
20. Action / B. Preliminaries of Action / 1. Intention to Act / c. Reducing intentions
Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall]
     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.
     From: report of Michael Bratman (Intention, Plans, and Practical Reason [1987]) by Wilson,G/Schpall,S - Action 4
     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.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)]
     Full Idea: The gods alone are the ones who live forever with Shamash. / As for humans, their days are numbered.
     From: Anon (Gilg) (The Epic of Gilgamesh [c.2300 BCE], 3.2.34), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 1.2
     A reaction: Friend quotes this to show the antiquity of the concept of infinity. It also, of course, shows that Sumerians at that time did not believe in human immortality.