Combining Texts

All the ideas for 'On Second-Order Logic', 'Armstrong on combinatorial possibility' and 'Pragmatism and Deflationism'

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24 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
15545 Armstrong's analysis seeks truthmakers rather than definitions [Lewis]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
15546 Predications aren't true because of what exists, but of how it exists [Lewis]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
15548 Say 'truth is supervenient on being', but construe 'being' broadly [Lewis]
3. Truth / B. Truthmakers / 9. Making Past Truths
14399 Presentism says only the present exists, so there is nothing for tensed truths to supervene on [Lewis]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19108 Truth is proper assertion, but that has varying standards [Misak]
19094 For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [Misak]
19105 Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak]
19100 Truth makes disagreements matter, or worth settling [Misak]
19099 'True' is used for emphasis, clarity, assertion, comparison, objectivity, meaning, negation, consequence... [Misak]
19103 'That's true' doesn't just refer back to a sentence, but implies sustained evidence for it [Misak]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
19101 Disquotation is bivalent [Misak]
19096 Disquotationalism resembles a telephone directory [Misak]
19106 Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
19098 Deflating the correspondence theory doesn't entail deflating all the other theories [Misak]
19104 Deflationism isn't a theory of truth, but an account of its role in natural language [Misak]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249 Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
10830 Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829 A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832 '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834 Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841 Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833 Many concepts can only be expressed by second-order logic [Boolos]
7. Existence / D. Theories of Reality / 4. Anti-realism
19109 The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak]
7. Existence / D. Theories of Reality / 9. States of Affairs
15543 How do things combine to make states of affairs? Constituents can repeat, and fail to combine [Lewis]