Combining Texts

All the ideas for 'Defending the Axioms', '(Nonsolipsistic) Conceptual Role Semantics' and 'Vindication of the Rights of Women'

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24 ideas

2. Reason / A. Nature of Reason / 6. Coherence
12596 Reasoning aims at increasing explanatory coherence [Harman]
12599 Reason conservatively: stick to your beliefs, and prefer reasoning that preserves most of them [Harman]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
12595 We have a theory of logic (implication and inconsistency), but not of inference or reasoning [Harman]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
12597 I might accept P and Q as likely, but reject P-and-Q as unlikely [Harman]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / D. Theories of Reality / 3. Reality
12598 Reality is the overlap of true complete theories [Harman]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
12602 There is no natural border between inner and outer [Harman]
12603 We can only describe mental attitudes in relation to the external world [Harman]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
12601 The way things look is a relational matter, not an intrinsic matter [Harman]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
12592 Concepts in thought have content, but not meaning, which requires communication [Harman]
19. Language / A. Nature of Meaning / 6. Meaning as Use
12590 Take meaning to be use in calculation with concepts, rather than in communication [Harman]
12593 The use theory attaches meanings to words, not to sentences [Harman]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
12588 Meaning from use of thoughts, constructed from concepts, which have a role relating to reality [Harman]
12589 Some regard conceptual role semantics as an entirely internal matter [Harman]
12600 The content of thought is relations, between mental states, things in the world, and contexts [Harman]
19. Language / F. Communication / 3. Denial
12594 If one proposition negates the other, which is the negative one? [Harman]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
12591 Mastery of a language requires thinking, and not just communication [Harman]
24. Political Theory / D. Ideologies / 12. Feminism
21006 If women share rights with men, they will exhibit similar virtues [Wollstonecraft]