Combining Texts

Ideas for 'The Fixation of Belief', 'Logic in Mathematics' and 'works'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

12 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
16867 Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
16863 Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
16862 The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
16865 'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
8453 If we had to name objects to make existence claims, we couldn't discuss all the real numbers [Quine]
5. Theory of Logic / G. Quantification / 1. Quantification
10311 No sense can be made of quantification into opaque contexts [Quine, by Hale]
10538 Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
10793 Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
16866 Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
16868 The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
16870 Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
16871 A truth can be an axiom in one system and not in another [Frege]