Combining Philosophers

All the ideas for Roger Penrose, Henri Poincar and Danielle Macbeth

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11 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematicians do not study objects, but relations between objects [Poincaré]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Convention, yes! Arbitrary, no! [Poincaré, by Putnam]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Avoid non-predicative classifications and definitions [Poincaré]
14. Science / B. Scientific Theories / 1. Scientific Theory
Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Quantum states in microtubules could bind brain activity to produce consciousness [Penrose]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
For pragmatists a concept means its consequences [Macbeth]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]