Combining Texts

All the ideas for 'Classes and Attributes', 'Believing the Axioms I' and 'Aboutness'

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26 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 / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
13011 New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13013 The Axiom of Extensionality seems to be analytic [Maddy]
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13021 The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
13022 Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13023 The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13024 Efforts to prove the Axiom of Choice have failed [Maddy]
13025 Modern views say the Choice set exists, even if it can't be constructed [Maddy]
13026 A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
13019 The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13018 Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
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 / 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]
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
19002 A nominalist can assert statements about mathematical objects, as being partly true [Yablo]
8. Modes of Existence / B. Properties / 11. Properties as Sets
9783 While no two classes coincide in membership, there are distinct but coextensive attributes [Cartwright,R]
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]