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Ideas for '27: Book of Daniel', 'Carnap and Logical Truth' and 'On What There Is'

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9 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

13010

In order to select the logic justified by experience, we would need to use a lot of logic [Boghossian on Quine]

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

9002	Elementary logic requires truth-functions, quantifiers (and variables), identity, and also sets of variables [Quine]

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

13681

Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

13829

If logical truths essentially depend on logical constants, we had better define the latter [Hacking on Quine]

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

1618	We study bound variables not to know reality, but to know what reality language asserts [Quine]

5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated

8455	Canonical notation needs quantification, variables and predicates, but not names [Quine, by Orenstein]

8456	Quine extended Russell's defining away of definite descriptions, to also define away names [Quine, by Orenstein]

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions

1611	Names can be converted to descriptions, and Russell showed how to eliminate those [Quine]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes

9003	Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]