Combining Philosophers

All the ideas for Archimedes, Matthew Cobb and Edward N. Zalta

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7 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]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]
Abstract objects are actually constituted by the properties by which we conceive them [Zalta]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer]
15. Nature of Minds / A. Nature of Mind / 8. Brain
There is a single mouse neuron which has 862 inputs and 626 outputs [Cobb]
The brain is not passive, and merely processing inputs; it is active, and intervenes in the world [Cobb]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]