Combining Texts

All the ideas for 'fragments/reports', 'On Second-Order Logic' and 'Aboutness'

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23 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
18996 A statement S is 'partly true' if it has some wholly true parts [Yablo]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
19006 An 'enthymeme' is an argument with an indispensable unstated assumption [Yablo]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
18999 y is only a proper part of x if there is a z which 'makes up the difference' between them [Yablo]
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 / F. Referring in Logic / 1. Naming / e. Empty names
19001 'Pegasus doesn't exist' is false without Pegasus, yet the absence of Pegasus is its truthmaker [Yablo]
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]
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
19002 A nominalist can assert statements about mathematical objects, as being partly true [Yablo]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
18998 Parthood lacks the restriction of kind which most relations have [Yablo]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
19004 Gettier says you don't know if you are confused about how it is true [Yablo]
14. Science / B. Scientific Theories / 2. Aim of Science
19007 A theory need not be true to be good; it should just be true about its physical aspects [Yablo]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
18993 If sentences point to different evidence, they must have different subject-matter [Yablo]
19003 Most people say nonblack nonravens do confirm 'all ravens are black', but only a tiny bit [Yablo]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
18992 Sentence-meaning is the truth-conditions - plus factors responsible for them [Yablo]
19. Language / C. Assigning Meanings / 4. Compositionality
18994 The content of an assertion can be quite different from compositional content [Yablo]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
18997 Truth-conditions as subject-matter has problems of relevance, short cut, and reversal [Yablo]
19. Language / F. Communication / 3. Denial
19005 Not-A is too strong to just erase an improper assertion, because it actually reverses A [Yablo]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]