Using logical inference pragmatically within conventional discourse doesn't entail endorsing logic as metaphysically necessary—similar to using currency while denying intrinsic value.
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(where we use logic without necessarily believing it's universal)
Regular, everyday conversation and communication between people following normal social rules.
intrinsic value(Callicott (1980) in contrast to individualistic environmental ethics)
Value possessed in and of itself, not derived from contribution to something else; in Callicott's holism, attributed exclusively to the biotic community as a whole rather than to individual organisms
logical inference(Poincaré's critique of logical inference in mathematical proof)
A topic-neutral inference from proposition p to proposition q, where in Tarski's conception every model of p is a model of q