Combining Texts

All the ideas for 'works', 'There is No A Priori (and reply)' and 'Apprehension: reason in absence of Rules'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 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.
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
19565 How could the mind have a link to the necessary character of reality? [Devitt]
     Full Idea: What non-experiential link to reality could support insights into its necessary character?
     From: Michael Devitt (There is No A Priori (and reply) [2005], 4)
     A reaction: The key to it, I think, is your theory of mind. If you are a substance dualist, then connecting to such deep things looks fine, but if you are a reductive physicalist then it looks absurdly hopeful.
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
19564 Some knowledge must be empirical; naturalism implies that all knowledge is like that [Devitt]
     Full Idea: It is overwhelmingly plausible that some knowledge is empirical. The attractive thesis of naturalism is that all knowledge is; there is only one way of knowing.
     From: Michael Devitt (There is No A Priori (and reply) [2005], 1)
     A reaction: How many ways for us to know seems to depend on what faculties we have. We lump our senses together under a single heading. The arrival of data is not the same as the arrival of knowledge. I'm unconvinced that naturalists like me must accept this.
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
22668 Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]
     Full Idea: The paradigm case of apprehension is of a complex intellect confronted with a complex object, in which the intellect understands in a particular context what is 'essential' about the object.
     From: Lynn Holt (Apprehension: reason in absence of Rules [2002], 3 'Expertise')
     A reaction: My line is that this apprehension cashes out as an immediate ability to explain the object. This is an enhanced version of the rational understanding of things found in most larger animals. Holt says her account is Aristotelian.