Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Preface to 'Principles of Philosophy'' and 'The Principles of Art'

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11 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
21962 Metaphysics is the roots of the tree of science [Descartes]
2. Reason / F. Fallacies / 4. Circularity
3659 I know the truth that God exists and is the author of truth [Descartes]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
10580 Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
10579 Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
10577 Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
10578 We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
3657 Understanding, not the senses, gives certainty [Descartes]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
20420 The emotion expressed is non-conscious, but feels oppressive until expression relieves it [Collingwood]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
20421 Art exists ideally, purely as experiences in the mind of the perceiver [Collingwood, by Kemp]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
20406 Art clarifies the artist's mind and feelings, thus leading to self-knowledge [Collingwood, by Davies,S]
28. God / C. Attitudes to God / 5. Atheism
3660 Atheism arises from empiricism, because God is intangible [Descartes]