Combining Texts

All the ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Mathematical Intuition' and 'Impossible Objects: interviews'

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21 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy begins in disappointment, notably in religion and politics [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Science gives us an excessively theoretical view of life [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Truth in a model is more tractable than the general notion of truth [Hodes]
Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is a level one relation with a second-order definition [Hodes]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Mathematics is higher-order modal logic [Hodes]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic must allow for the possibility of only a finite total of objects [Hodes]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes]
Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
7. Existence / D. Theories of Reality / 7. Fictionalism
Talk of mirror images is 'encoded fictions' about real facts [Hodes]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Interesting art is always organised around ethical demands [Critchley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
24. Political Theory / D. Ideologies / 3. Conservatism
Belief that humans are wicked leads to authoritarian politics [Critchley]