Combining Texts

All the ideas for 'Defending the Axioms', 'Introduction - Ontology' and 'Tarski's Theory of Truth'

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21 ideas

3. Truth / A. Truth Problems / 4. Uses of Truth
10825 The notion of truth is to help us make use of the utterances of others [Field,H]
3. Truth / A. Truth Problems / 9. Rejecting Truth
10820 In the early 1930s many philosophers thought truth was not scientific [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
13499 Tarski reduced truth to reference or denotation [Field,H, by Hart,WD]
10818 Tarski really explained truth in terms of denoting, predicating and satisfied functions [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
10817 Tarski just reduced truth to some other undefined semantic notions [Field,H]
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 / 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 / I. Semantics of Logic / 2. Formal Truth
10819 Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10827 Model theory is unusual in restricting the range of the quantifiers [Field,H]
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 / C. Structure of Existence / 3. Levels of Reality
5500 Biologists see many organic levels, 'abstract' if seen from below, 'structural' if seen from above [Lycan]
9. Objects / F. Identity among Objects / 6. Identity between Objects
5494 'Lightning is electric discharge' and 'Phosphorus is Venus' are synthetic a posteriori identities [Lycan]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
5496 Functionalism has three linked levels: physical, functional, and mental [Lycan]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
5499 A mental state is a functional realisation of a brain state when it serves the purpose of the organism [Lycan]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
10826 'Valence' and 'gene' had to be reduced to show their compatibility with physicalism [Field,H]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
7615 Field says reference is a causal physical relation between mental states and objects [Field,H, by Putnam]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
5501 People are trying to explain biological teleology in naturalistic causal terms [Lycan]