Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Brain Bisection and Unity of Consciousness' and 'Philosophy'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
Knowledge is beyond question, as an unavoidable component of thinking [Weil]
     Full Idea: The speaker refuses to pose the question of knowledge, since knowledge is a given that is mixed with thought, and that no thinking being can get away from.
     From: Simone Weil (Philosophy [1941], p.42)
     A reaction: On the whole I favour belief-first, but I take the primary purpose of minds to be navigation, and that needs facts, not hopeful beliefs. Weil's thought pushes me a bit towards the knowledge first view.
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Brain bisection suggests unity of mind isn't all-or-nothing [Nagel, by Lockwood]
     Full Idea: Nagel argues (because of brain bisection experiments) that we should jettison our commonsense assumption that the unity of consciousness is an all-or-nothing affair.
     From: report of Thomas Nagel (Brain Bisection and Unity of Consciousness [1971]) by Michael Lockwood - Mind, Brain and the Quantum p.84
     A reaction: It seems wrong to call it 'commonsense'. It is an assumption that precedes any judgement, but if you rapidly grasp that your mind is in your brain, it becomes common sense that you can cut lumps out of your mind.
16. Persons / B. Nature of the Self / 4. Presupposition of Self
We may be unable to abandon personal identity, even when split-brains have undermined it [Nagel]
     Full Idea: As a result of the evidence of split-brains, it is possible that the ordinary, simple idea of a single person will come to seem quaint some day, …but we may be unable to abandon the idea, no matter what we discover.
     From: Thomas Nagel (Brain Bisection and Unity of Consciousness [1971], p.164)
     A reaction: I'm not sure what grounds you can have for a claim that we can't abandon our current view of selves, even when the new reality will be utterly different. Rather conservative? I would expect future concepts to roughly match future reality.
21. Aesthetics / B. Nature of Art / 1. Defining Art
Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil]
     Full Idea: Isn't true art a method for establishing a certain relation between the world and the self, and between oneself and others, and isn't that the equivalent of philosophy?
     From: Simone Weil (Philosophy [1941], p.38)
     A reaction: I hope the definition of 'true' art doesn't have to conform to achieving this relation. I suppose each good work of art shows you a distinctive way of relating to the world. An interesting thought (as so often with this thinker).