Combining Texts

All the ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Preface to Great Instauration (Renewal)' and 'Wang's Paradox'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
6602 Philosophy is like a statue which is worshipped but never advances [Bacon]
3. Truth / F. Semantic Truth / 2. Semantic Truth
10017 Truth in a model is more tractable than the general notion of truth [Hodes]
10018 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
10015 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
10011 Identity is a level one relation with a second-order definition [Hodes]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10016 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
10027 Mathematics is higher-order modal logic [Hodes]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
10026 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
10021 It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes]
10022 Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes]
7. Existence / D. Theories of Reality / 7. Fictionalism
10023 Talk of mirror images is 'encoded fictions' about real facts [Hodes]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
21628 To say reality itself is vague is not properly intelligible [Dummett]
12. Knowledge Sources / B. Perception / 1. Perception
16724 The senses deceive, but also show their own errors [Bacon]
14. Science / A. Basis of Science / 3. Experiment
6603 Nature is revealed when we put it under pressure rather than observe it [Bacon]