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Single Idea 13010

[filed under theme 5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic ]

Full Idea

Quine ends up with the logic that is maximally justified by experience, ...but a large number of the core principles of logic will have to be used to select the logic that is maximally justified by experience.

Gist of Idea

In order to select the logic justified by experience, we would need to use a lot of logic

Source

comment on Willard Quine (Carnap and Logical Truth [1954]) by Paul Boghossian - Knowledge of Logic p.233

Book Ref

'New Essays on the A Priori', ed/tr. Boghossian,P /Peacocke,C [OUP 2000], p.233


A Reaction

In order to grasp some core principles of logic, you will probably need a certain amount of experience. I take logic to be an abstracted feature of reality (unless it is extended by pure fictions). Some basic logic may be hard wired in us.


The 9 ideas from 'Carnap and Logical Truth'

If logical truths essentially depend on logical constants, we had better define the latter [Hacking on Quine]
In order to select the logic justified by experience, we would need to use a lot of logic [Boghossian on Quine]
Frege moved Kant's question about a priori synthetic to 'how is logical certainty possible?' [Quine]
Elementary logic requires truth-functions, quantifiers (and variables), identity, and also sets of variables [Quine]
Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]
If set theory is not actually a branch of logic, then Frege's derivation of arithmetic would not be from logic [Quine]
Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider]
Examination of convention in the a priori begins to blur the distinction with empirical knowledge [Quine]
Commitment to universals is as arbitrary or pragmatic as the adoption of a new system of bookkeeping [Quine]