Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Structuralism Reconsidered' and 'Prologue to Ordinatio'

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5 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]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Our intellect only assents to what we believe to be true [William of Ockham]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractive cognition knows universals abstracted from many singulars [William of Ockham]