Combining Texts

All the ideas for 'The Architecture of Theories', 'Letters to Johann Bernoulli' and 'Structuralism Reconsidered'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
A piece of flint contains something resembling perceptions and appetites [Leibniz]
Entelechies are analogous to souls, as other minds are analogous to our own minds [Leibniz]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
What we cannot imagine may still exist [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce]
22. Metaethics / B. Value / 2. Values / e. Death
Death is just the contraction of an animal [Leibniz]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The world is full of variety, but laws seem to produce uniformity [Peirce]
27. Natural Reality / G. Biology / 3. Evolution
Darwinian evolution is chance, with the destruction of bad results [Peirce]